diff --git "a/data/dm_maths/full_data_2/101_11255.jsonl" "b/data/dm_maths/full_data_2/101_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/101_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is greater: -93818 or -93816?\nAnswer: -93816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 - -18.8.\nAnswer: 399.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0*q**2 - 6*q**2 + 4 + 0. Let u(n) = 6*n**2 - 5*n + 4. Let l = -1 + 0. Let p(w) = w**2 - w + 1. Let m(j) = l*u(j) + 5*p(j). Give 4*m(a) - z(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 78, 47, 0, -69?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 47. Let b(z) = 4216*z**2 - 8982*z + 141. Let t(o) = b(o) - 3*i(o). Find the second derivative of t(p) wrt p.\nAnswer: 8426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44418*l + 44418*l - 20*l**3 + 21*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-9408)\/(-396))\/(-49)*3\/(-4)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -17. Let l be 3 - 1 - 0\/(-2). Let x = y - l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, j: 1, m: 2, z: 11, h: 1}. Give prob of sequence ooo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y + 67. Let b(x) = -x**2 - 27. What is b(r(f))?\nAnswer: -121*f**2 + 1474*f - 4516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 364, 551, 738, 925?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:52 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4795294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 5*t**2\/2 + 7*t - 80. Let g(u) = -u - 2. Calculate -9*g(f) - 2*j(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 15*y**2 - 15*y + 14. Let a be z(-16). Let i be a + -1 + (9 - 1). Let x = 137 - 97. What is the highest common factor of x and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 5. Which is the nearest to 1? (a) -5 (b) n (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose -2 = -c*u + 13. Factor 5*s - u*s - 3*s**3 + 3*s**5.\nAnswer: 3*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 303 - 45 = 0. Let f = d + -82. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 18*w**2 - 396519020*w + 396519020*w - 2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75828 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20933 + -11495. Is n a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 6 - 22 + 7)*(2 + 2*s - 2) + 1097*s - 551*s - 554*s - 6.\nAnswer: -76*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/68 + 4460\/340?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:24 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22375 by -4475.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**2 + 1479*u - 1477*u + 12*u**2. Let s(k) be the third derivative of -k**5\/60 - k**4\/24 + 3*k**2. Let m = -11 - -8. Calculate m*b(l) - 6*s(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 265673731?\nAnswer: -265673732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.009 and -16?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 61 - 51. Suppose 0*n = -3*n. Factor n*j + 1\/3 - 1\/3*j**w.\nAnswer: -(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141571.\nAnswer: 67, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p**2 - p. Let h(n) = 9*n**4 - 3*n**3 - 11*n**2 - 5*n. Let q(g) = 5*a(g) - h(g). Solve q(d) = 0.\nAnswer: -1\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 - 203. Which is the second biggest value? (a) -58 (b) z (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**7\/5040 + v**6\/720 + v**4 - 36*v. Let t(c) be the third derivative of q(c). Suppose t(i) = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 284*i**2 + 199. Let w(f) = 142*f**2 + 99. Suppose 90*z = 66*z - 72. Let l(j) = z*p(j) + 7*w(j). Differentiate l(a) wrt a.\nAnswer: 284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*u + 180*u = -496*u - 419*u + 7928 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*b**3 + 5*b**2 - 34*b**2 - 94*b**3 + (-8*b**3 + 5*b**3 - 4*b**3)*(-21 - 4 + 6) to the form q + j*b**3 + s*b + l*b**2 and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -782182 (base 9) to base 7\nAnswer: -3654545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 4*i + 2. Let y be g(2). Let d(b) = 4*b + 1. Let n be d(y). Let r(h) = -3*h - 16. Let s be r(n). Sort s, 4, 2\/9.\nAnswer: 2\/9, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-2)\/sqrt(4))\/(1*sqrt(252)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 137 - 35. Suppose -162*r + 6029 = -2233. Calculate the greatest common factor of r and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 - 6*z + 24. Let x be o(-9). Let p(a) = -a**2 - 1. Let u(c) = 4*c**2 - 4. Calculate x*p(h) + u(h).\nAnswer: 7*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 + 0 = 0. Let d = 16 + r. Let k(j) = 1. Let z(b) = 2*b - 4. Calculate d*k(t) + z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -2*j + 5, 0 = 3*f - 12. Suppose -j*z - 4 = -4*z. Let l = 83 - 78. Solve i = l*g + 6*i - 5, z*i = -3*g - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*h, 5*m - 20 = 10*m. Solve 30 = 3*g - 2*t - 3*t, h*g = -2*t + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:06 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 5.5. What is the nearest to 1 in 0.2, -0.5, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13284528 and 4326?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 151. Let y = -127 + q. Solve -4*a = -y*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39018 = 4801*z + 1449*z + 639018 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73007 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l**3 + l**2 + 4*l - 3. Let a = -146 - -269. What is the remainder when a is divided by z(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393 or 82?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4db0 (base 15) to base 2.\nAnswer: -100000011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -21*p - 425. What is o(-19)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46710 and 8304?\nAnswer: 373680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 1\/4, 313, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 3, 0.0592 in decreasing order.\nAnswer: 3, 2\/13, 0.0592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59397365, -118794737, -178192109, -237589481, -296986853, -356384225?\nAnswer: -415781597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (139 + -1)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 86*o**2 + 20*o + 1719. Let v be j(-86). Sort v, -40, -2, 4 in ascending order.\nAnswer: -40, -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111 times 4812590?\nAnswer: -534197.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + sqrt(1100) + 2)*6) + 2*(sqrt(1100) + sqrt(1100) + sqrt(1100)*-2)**2 + -5 + (1 + sqrt(1100) + 0)**2 + -2*sqrt(1100)*-4.\nAnswer: -10*sqrt(11) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 27. Suppose -2*p + f = -10, -4*p + y*p + 5*f + 18 = 0. Suppose 7*a - p*a = -s, s = 2*a. Solve a*h - 2*i = -3*h + 10, -3*h + 5 = -i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13906191797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14625*d**2 - 28*d - 21. Does 22 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 119, 0, -2\/3, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(720) + 1)**2 + 0 + -1.\nAnswer: 24*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*w + 11 = 0, w + 3*w = -y. Let k = 34 - 33.5. Which is the nearest to 1? (a) y (b) -4\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1aaa8 + -1?\nAnswer: 1aaa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -76. Let r(a) be the third derivative of 205*a**4\/24 + a**2. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -344 by -911440.\nAnswer: 43\/113930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7109873638?\nAnswer: 2, 7, 3163, 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.1. What is the nearest to h in 5\/9, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -11. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84 + 32\/4 - (-10 + 21). Let m = 125 + -43. Do b and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4449 by 11.\nAnswer: -4449\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 3536?\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -n - 39 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**2 + 2*s - 5. Let g(x) = 0*x**2 + 3 + 4*x**2 - 86600901*x + 86600900*x. Calculate -6*f(a) - 10*g(a).\nAnswer: 14*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 13*w - 10. Let f be b(-12). Let q be (1 - (-2 - -1)) + f. Calculate the greatest common factor of q and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h - 5. Let q be f(3). Let w = 81 + q. Let g(t) = -t**3 + 2*t**2 + 9*t - 1. Let m be g(w). Solve m*o - 2*o + 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733 + -1716 - -2283*(-3)\/405?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8873 - -8852. Let g(v) = 61*v**2 + v - 2. Let i be g(2). Let p = i + -3170\/13. Is x less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u - 5*w - 49 = 0, 4 = 4*u + 4*w. Solve 4*i + u = -14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.410375332 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -2)*-2 + (sqrt(49) - -2*sqrt(49))\/sqrt(7) + 4*(1*sqrt(1575) - sqrt(1575)).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 44?\nAnswer: 15\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -10. Let r(i) = i**x + 2*i**2 - 2*i**2 + 0*i**2. Let h(u) = u - 1. Let m(q) = 3. Let g(z) = 3*h(z) + m(z). What is r(g(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -22270952.329 and -0.03.\nAnswer: -22270952.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 3. Let v(s) = 5*s - 4. Let x(h) = 11*h - 9. Let b(n) = 9*v(n) - 4*x(n). What are the prime factors of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(20\/5))\/(33\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 6, p: 3, v: 2}. Give prob of picking 2 z, 1 c, and 1 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z**3 + 2*z**3 - z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - y = 12, -20*t - 3*y = -22*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as -1235019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 79213 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 8?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -561, -550, -531, -504?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*s**(-2))\/(((s\/(s\/(s**(-2\/5)*s)))\/s)\/(s**(-2\/11)*s*s)) assuming s is positive.\nAnswer: s**(14\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsptibtzbiz. Give prob of picking 2 z, 1 b, and 1 p.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 0.06 (d) -91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/(p*(p\/(((p*p\/(p*p**12*p))\/p*p)\/p*p))\/p*p))\/p)\/p)\/p**(-1))\/((p*p*(p*p*(p*p**(-15)*p)\/p)\/p)\/p**(-2\/7)))**(-18))**30 assuming p is positive.\nAnswer: p**(12420\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 - 340*q + 71. What is b(30)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410393077239 - 2.11.\nAnswer: 410393077236.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -3 - -51 - ((23 - -3) + -21)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/70 - -2\/35. Let a(w) be the first derivative of 0*w**2 - m*w**4 + 2*w + 1 + 0*w**3. Differentiate a(f) with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 10 (c) -3 (d) 2\/7 (e) -294 (f) -11 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -81 (b) 0.05 (c) -0.1 (d) -5 (e) -1297 (f) -6 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 81 = 2*t - 11 + 105 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13674?\nAnswer: -13674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14013.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913558878.1545 less than 0.2?\nAnswer: -2913558877.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/2 - 2*t**3\/3 - t**2 + 6. Let i be c(2). Put 3, i, -2 in increasing order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(18)\/((sqrt(42) - sqrt(1050))\/sqrt(7))*-5)**2 + (sqrt(972)*1)\/(sqrt(81)*2).\nAnswer: sqrt(3) + 43\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 106 = 126*b - 586 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/219 in 0.1, -16, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -25, -3*q + 8*i - 13*i = 19. Let j(v) = -22*v + 47. Let n be j(q). Solve -3*g + n = 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*y**2 + 57*y**2 + 5*y + 0*y - 3*y - 5*y + 55*y**3 in the form l*y**2 + b*y + z*y**3 + k and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100239879.\nAnswer: 3, 59, 521, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -26. Let x be (8\/p)\/(3\/(-150)). Suppose -12 = -2*t + a + 2*a, -2*a - 4 = 0. Solve -x = 4*w + 5*l, -w = 3*w + t*l + 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 2*o**2 - 2*o + 3. Let x be t(0). Suppose -x*c = -5*w + 10, -5*w + c + 6 = -4. Solve w*r + 5 = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 490, 491?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.523074 millennia?\nAnswer: 90276.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-12\/11)\/((((q*(q*q**(5\/4))\/q*q)\/q)\/q)\/((q*q**(3\/2))\/q)))\/(q**(2\/5)\/q**(-1\/4)*(q**0)**(2\/57)) assuming q is positive.\nAnswer: q**(-82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 5, -31 in descending order.\nAnswer: 5, 3, 1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + 2*g**5 + (-g**4 + 2*g**3 - 2*g**3)*(-g - g + 3*g) - g**2 - 2*g**5 + g**2 + 16*g**5 - 11010*g**2 + 11010*g**2.\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*v**3 + 14*v**3 + 6*v**3 - 56*v**2 - 2 + 1 + 8*v**3 to j + b*v**3 + k*v**2 + d*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7753104000 to the nearest one million.\nAnswer: 7753000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 76*o**2 - 374*o + 14092. Give k(38).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 391\/383 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -60a15?\nAnswer: 60a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/7 + 3800*l**4\/7 + 41952*l**3\/7 + 171828*l**2\/7 + 309474*l\/7 + 29484 = 0. What is l?\nAnswer: -3, -2, 1911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 3179?\nAnswer: 3179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d**2. Let h(t) = -t**2 - 27. Determine b(h(p)).\nAnswer: -13*p**4 - 702*p**2 - 9477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 16 + 8*c + 3*c + 2*c**2. Let y be -18*((-21)\/(-9) + -3). Calculate the least common multiple of g(y) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1980 by -1.\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 456.7428 tonnes?\nAnswer: 456742800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7113967 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18673111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -31 + (-35 - -92).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 8*l**2 + 17*l + 8. Determine a(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.667 and -52?\nAnswer: -34.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 8. Suppose 5*k - l = 2*k. Suppose k*z + 50 - 533 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4156640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004714 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*f + 2*f - 8 = 0, 5*t - 8 = 2*f. Solve -5*v - 4*d - 4 + 3 = t, d + 7 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0755 times -10\nAnswer: -0.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*a - 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.197 - 0.1970514. Round g to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150 and 1078.\nAnswer: -161700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**2\/7 + 124890*m\/7 - 13418136\/7 = 0. What is m?\nAnswer: 108, 20707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13220320 (base 7) to base 3.\nAnswer: 2021201202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1436544*g**5 - 47*g**2 - 901*g - 3?\nAnswer: 86192640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(448) - ((sqrt(275) - sqrt(275)*3) + sqrt(275) - sqrt(11))**2.\nAnswer: -396 + sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 25*j**3 + 45*j**2 - 35*j + 10.\nAnswer: 5*(j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11044.1 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*f = -4, -2*f + 4 = -0*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + 7. Suppose 0*k + 5*k - x - h = 0, 5*k - 80 = 5*x. What is the remainder when 90 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -829180 + 3659539. Suppose -2*q - 4 = 0, 3*q + g + 2769647 = u. What is u rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, 89162?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1802 - 1797. Suppose 10 = 3*n - n. Suppose 4*q - 45 = -n*z, 5*q - 47 = -3*z - 7. Solve -d*u + 15 = -q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3839 + -3739. Calculate the remainder when o is divided by 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1705\/(-1155) + (-56)\/(-49). Which is the closest to -0.3? (a) 5 (b) o (c) -2.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-35)\/s**42)\/(s**(-2\/5))**28 assuming s is positive.\nAnswer: s**(-329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 963979123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-12) - (-7)\/42) + 72 + -81\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a)**5*a**(2\/5)\/(a\/((a**(5\/3)\/a)\/a)) assuming a is positive.\nAnswer: a**(286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 4*i. Let y(l) = l**2 + 6*l - 9. Let h be y(-7). Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(35*w + 312 + 318 - 628) to k + f*w and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*o**2 - 260*o**2 + 352*o**2 to j*o**2 + g + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - l**4 + 0*l**4 + (-5*l**3 - 3*l**3 - l**3)*(1 - l - 1).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 40*u + 7. Let z(q) = 245*q + 42. Give -35*l(g) + 6*z(g).\nAnswer: 70*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1501400*n + 140887622500.\nAnswer: 4*(n - 187675)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 1. Let o = 0.1 + 0.3. Let c = 6501 + -6499. Put -3, c, m, o in descending order.\nAnswer: c, o, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 86 = 2*b - 5*d, -b = -2*d + 25 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 + 25 = 0. Suppose 0 = 2*u - 0*u - h*c - 312, -u - c = -156. Suppose -11*i = -15*i + u. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 625 = 155. Let s = -82 + o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-7) - (0 - 6)\/2. Which is the nearest to -0.1? (a) d (b) 8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-50)*-42 - 300\/(-2250)*(-21)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6634 and 1674?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48232456667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 57 = -4*q, -q - 7*l + 12*l = 33. What is the remainder when 101 is divided by 1\/(4\/q)*23\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -4 (b) 2 (c) -5.3465 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33360.84 grams in micrograms?\nAnswer: 33360840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 10. Let l(x) = 3*x - 15. Let n(i) = -7*j(i) - 5*l(i). Let f(h) = h + 9. Let a be f(-4). What is n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*p - 2*t + 6 = 0, 8 = 3*p + t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(((f**(-2\/7)*f)\/f*f)\/f*f)*f))\/((f\/(f**6\/f*f))\/f*f)*(f\/f**(1\/2)*f*f)**(-12) assuming f is positive.\nAnswer: f**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*2*-2 - (-4*2*sqrt(95) + sqrt(95) - sqrt(95)))\/(sqrt(320) + sqrt(320)*-2*2)*-4.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -352*c**3 - 27460*c**2 - 239672*c - 2720 = 0. What is c?\nAnswer: -68, -10, -1\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6072925?\nAnswer: 5, 421, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, -2, 0, -3, 33 in increasing order.\nAnswer: -3, -2, 0, 2, 33, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 45 - 9. Let t = -4 - -9. What is the least common multiple of w and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-42853\nAnswer: -9427.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:14 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -198?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 2 + 3\/((-9)\/12). Let s(l) be the first derivative of -l**2\/2 - 5*l + 1. Let j(c) = 3*c + 15. Let n(a) = 2*j(a) + 7*s(a). Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 62, 2, 4 in descending order.\nAnswer: 62, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x. Let q = 144 - 141. Let z(l) = 2*l + q*l - 8*l + 5*l. Calculate z(y(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t**2 + 154*t + 24. Calculate s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5010.62 and 0.5.\nAnswer: -2505.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.483454 nanograms in micrograms?\nAnswer: 0.003483454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from bqbbqqbbbqbbbb?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 300*o**2 + 18270*o - 1083. Give k(-215).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.456 + -1.156. Which is the third biggest value? (a) 2\/15 (b) 1\/2 (c) t (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598455 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*d**3 + 30432*d**2 + 333540*d + 27872 = 0. Calculate d.\nAnswer: -67, -13, -8\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -2 (b) 4 (c) 0.4 (d) 272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3*b + 7. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 - 49)*(3 - 2*d - 3)*(4*d + 8*d + 2*d).\nAnswer: 1736*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -625.\nAnswer: 62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + -1.94. Let j = 6 - 11. Let m be 2\/(-32)*(-4)\/2. Sort d, j, m in decreasing order.\nAnswer: m, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 57, 3, -180948 in decreasing order.\nAnswer: 57, 3, 2, -180948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(144)\/sqrt(4))\/sqrt(6)))**2 - ((sqrt(343) + (sqrt(343) + (sqrt(343) - sqrt(343)*2) - sqrt(343)))\/sqrt(7))\/sqrt(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -57*a - 3. Let v(i) = -i + 11. Determine v(d(k)).\nAnswer: 57*k + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1406*-54747.\nAnswer: 76974282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7760)\/(-880) - (-4)\/22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (sqrt(208) + sqrt(208) + sqrt(208) + -3 - sqrt(208)) - (3 + sqrt(208) + 2)))**2.\nAnswer: -512*sqrt(13) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -319. Let s be ((-48)\/14)\/(5\/(-35)). Calculate the highest common divisor of o and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.2 less than 27178719?\nAnswer: 27178753.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -985\/22 - -81\/2. Calculate the common denominator of b and 47\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 13*b + 13. Let j(s) = -s**2 - 3*s + 3. What is 26*j(r) - 6*t(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -11\/9, 2\/19, -2\/11 in increasing order.\nAnswer: -11\/9, -2\/11, 2\/19, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sspbbsplbkllbbsb. What is prob of picking 3 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (20\/(-6) + 1). Suppose -2*x + 5*y = -3, 58*x + y = 59*x. Which is the second smallest value? (a) x (b) -3 (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -11 + -4 + 1 + (49 - 76)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 227 = -15*p - 2*t, -p + 2*t = 47. What is the units digit of ((-14830)\/p)\/(2\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:54 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 1\/4 (c) -0.714 (d) -0.5 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 5*i. Let k(t) = -5544*t - 3 + 5558*t + 9. Let q be k(i). Calculate the highest common factor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: bd3 (base 14) to base 12\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**2\/2 + 4*u + 617. Determine x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.948871 to 2 decimal places.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/12 + 2*h**2. Let r(z) be the second derivative of -z**4\/4 - 51*z. Give r(u(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0 + (1 + 0 - 2)*(0 + 1 + 1) - 2 + 3 + 0 + 2 + 9 + 4 + 8 - 1 - 2)*(p**3 + 3 - 3) to the form x*p + t*p**3 + v + s*p**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m - 19 + 19 = 0. Let v(c) be the third derivative of 0 + m*c + 11*c**2 + 1\/6*c**3 - 9\/8*c**4. Find the first derivative of v(z) wrt z.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 621320 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfpppr. What is prob of picking 2 f and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1030 = 2*u. Let b = u - 146. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 8 - 1) + 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 118133204092263363*q**2 - 1190629434*q + 3 = 0.\nAnswer: 1\/198438239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + l = 9*l + 368 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + (sqrt(26) - -3*sqrt(26) - sqrt(26)))*-1)\/(sqrt(6)\/(sqrt(3)*-2)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3390, -5, -2, 1.7 in descending order.\nAnswer: 1.7, -2, -5, -3390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144 + -173 - (-13 + -2)) + -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + s - s + (-s**3 - 2*s**3 + 4*s**3)*(-2 + 0 + 1) + (-1 + 1 + s**2)*(23*s + 46*s - 108*s).\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(5 - -28*5\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:43 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.46. Let o = 1.9 - s. Round o to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 57.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584153?\nAnswer: 3, 176017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.2, 772 in ascending order.\nAnswer: 0.2, 10, 772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let a(c) = -2142*c - 1. Calculate a(z(j)).\nAnswer: -2142*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 16*q - 34*q = 560 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22*m**4 - 16388*m**3 + 11740*m**2. Let d(y) = 5*y**4 + 4096*y**3 - 2935*y**2. Let q(i) = 9*d(i) + 2*o(i). Find the third derivative of q(n) wrt n.\nAnswer: 24*n + 24528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 69, 40\/3, 3, -1\/75.\nAnswer: -1\/75, 1, 3, 40\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*m = -247*m - 16 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/1*(-16)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1860)\/1705)\/((-2)\/(-22))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1\/3*k**4 - 18*k + 3\/2*k**2 - 2\/3*k**3 - 9\/20*k**5 + 0. Find the second derivative of v(u) wrt u.\nAnswer: -54*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 55 = 5*w, 4*w - a - 44 = 3*a. Let p(c) = c**3 - 12*c**2 + 12*c - 13. Determine p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9955 and 4768115?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/6 - 3\/9. Let y = u - 1. Let j be y\/(-2 + 46\/22). What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1, y: 3, k: 4}. What is prob of picking 1 k and 1 y?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.2 + 8.2. What is the closest to 2\/9 in -2, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) + 4 + -4.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:31 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 119 - 2152*q**3 - 239.\nAnswer: -2152*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**3 + 20*w**3 + 45*w**3)*(-w - 2*w + 5*w)*(-21 + 31 + 42).\nAnswer: 5928*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = 0. Let s(n) = -9*n + w + n**3 - 7*n**2 + 0*n**3 + 2. Suppose -3*c = -9, 2*x + 42*c - 46*c - 4 = 0. Give s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 22*o**4 - 2*o**2 + 2*o**3 - 2 + 2 to the form w + k*o + v*o**2 + i*o**3 + q*o**4 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 228134003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 + 11*z**2 + z - 2. Let l(m) = 80*m - 1282. Let o be l(16). What is h(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3*j*j*j*j\/(j**(-6\/11)*j*j)*j**22*j**(-4)*j assuming j is positive.\nAnswer: j**(270\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057468838 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96747.3 nanoseconds to minutes.\nAnswer: 0.000001612455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571551143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (10\/6)\/(1\/6) and (-64)\/(-13) + (-55)\/(-715) - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, r: 4, o: 4, h: 3, y: 1}. Give prob of picking 2 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 195\/(-15)*1\/(-1). Let f = p + -63\/5. Factor 2\/5*y**2 + f + 4\/5*y.\nAnswer: 2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7629*c**3*d**2 - 2*c**3 + 942*d**2 - 3*d wrt c.\nAnswer: -22887*c**2*d**2 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 10*u**2 - u + 13. Calculate the remainder when k(-10) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 1168?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + s - 4*s - 28 = 0, 0 = 4*l + 3*s - 4. Suppose -l*o = -12 - 152. Calculate the common denominator of 37 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15552 (base 6) to base 16\nAnswer: -a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -16. Let u = 3 + -6. Let q be 1 - 98*u\/3. Calculate the highest common divisor of q and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0 + 0*g**4 + 0*g**3 + 0*g - 2*g**2 - 1\/6*g**5. Let o(i) be the third derivative of -i**5\/60 + 42*i**2. Give o(v(a)).\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -62\/579341 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1609190 by 73145.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -291 + 9 + 4*l - 654 - 93 to h + t*l and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3024\/31 (b) 0 (c) 568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let t(a) = 7*a - 6. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 25*p**2 - 45*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 14*y**2 - y + 1. Let l be c(-14). Suppose 4*g + 20 = -0*w - 3*w, -l = 5*w + 3*g. Solve w = -0*o - o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 10. Let d be t(-5). Suppose 5*b - 135 = -3*y + 2*y, d*y - 612 = -4*b. What is the greatest common divisor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhgy. Give prob of picking 4 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*k + 4*k = 8, 3*i = 3*k - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 0)\/((-9)\/99). Let z be 3*(2 - 1) - (m + 2). Let f = z + -97. Solve r - f = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 2*j**2 - 6*j**2 - 2*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 74*b**3 + 28248*b**2 - 83680*b - 112000 = 0.\nAnswer: -140, -1, 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788511 is divided by 441.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 149, 223, 295, 365, 433, 499?\n\"Answer: -v**2 + 79*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-17*g - 4*g**5 - 5343702*g**2 - g**4 + 5343702*g**2).\nAnswer: -8*g**5 - 2*g**4 - 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5293 and -0.4?\nAnswer: 5293.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 + -33. Let h = 720231.20161 + -720496.2. Let r = f - h. Round r to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mguggpupggggpgmmp. What is prob of picking 1 u, 1 p, and 2 m?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1*2*39*(-2 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34031777 divided by 1?\nAnswer: -34031777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.40145 + 0.36732.\nAnswer: 0.76877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9468*u - 8791*u - 3385 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (0 + sqrt(3))*1 - (-1 + sqrt(3) + sqrt(3)*1).\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pztp when four letters picked without replacement from zpttppztztttztppzptp.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r**3 + 2*r**2 + r. Let f be i(-1). Let g = -19 - f. Let t be 28\/(-9) - 20\/(-180). Put t, -1, g in ascending order.\nAnswer: g, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c. Let z(m) be the second derivative of -18*m**3 - 190*m. Determine g(z(o)).\nAnswer: -1080*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.978212g to kilograms.\nAnswer: 0.009978212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 227629875 - -0.09499\nAnswer: 227629875.09499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381120888 divided by -8.\nAnswer: 47640111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35485, 71688, 108613, 146260, 184629, 223720?\nAnswer: 263533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19221, 19222, 19223, 19224, 19225?\n\"Answer: w + 19220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 16. Suppose -z*v + 3*v + 36 = 0. What is the remainder when 15 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - 19 - -24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-6)))**(-42)*(y\/y**(-19))\/y**(2\/11) assuming y is positive.\nAnswer: y**(2990\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 5. Let t = 9 - 5. Let i be g(t). Suppose -2*u = i*u. Solve 3*q + u*q = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 5*y + 4. Let o be j(6). Let q be (o\/6)\/(1 - 0). Put -3, q, 4 in descending order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, h: 1, q: 1, f: 3}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + sqrt(567)*3 - 2*sqrt(567)*5)*4)**2.\nAnswer: -8064*sqrt(7) + 444784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/3 + 721*o**4\/6 + 943*o**3\/2 - 12773*o**2\/6 + 14195*o\/6 - 828 = 0 for o.\nAnswer: -27\/4, 1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6386606?\nAnswer: 2, 53, 60251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/3030 and -82\/165.\nAnswer: 33330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 3. Let x = -19 - -12. Let i be j(x). Let m = i - 6. Calculate the remainder when 13 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 66 + 68 - 134.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01640707252 to six dps.\nAnswer: 0.016407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 3180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 7*o + 4. Let i(v) = 3*v + 2. Let w(z) = -z**2 - 2*z - 1. Let f(p) = -i(p) - w(p). What is 5*f(b) + l(b)?\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 + 29 - 71)*(-w + 5*w - 2*w) - 4 + 4 - w - w + 3*w - w + (-6*w + 2*w + 3*w)*(-6 + 2 + 3) + 0 - 2*w + 0 + 0 + 0 - w in the form t*w + r and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 213828576?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 745686 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 245*i**2 - 124*i - 243. Determine y(-122).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20) - 73\/(-5). Let p = m + -14. Factor 0 - p*q**2 + 0*q.\nAnswer: -q**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 4 = -19*s. What are the prime factors of (-26 + 1)*(s + (-14)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.24 - -0.26. Let w = y + -1.5. Let k = -1422 - -1427. Is w != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2 + 80\/(-28).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let b be (7 - -1)\/(1 - t). Suppose 0 = b*i - 26084 - 12716. Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 29 = 16*j, 3*x - 539*j = -535*j + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1930128716 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 38 = -162. Let g be (-54)\/(-45)*h\/3. Let y be (g\/6)\/(4\/6120000). Round y to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*r**4\/3 + 686*r**3 + 2368*r**2\/3.\nAnswer: 2*r**2*(r + 32)*(31*r + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, 13\/54, 3, -0.2?\nAnswer: 13\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2106) + sqrt(2106) + sqrt(2106) + 2*sqrt(78)\/sqrt(3))\/((sqrt(162) - -1*sqrt(162) - sqrt(2))*4*5)*-5.\nAnswer: -29*sqrt(13)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2. Let p(t) be the first derivative of t**6\/120 - 4*t**3\/3 + 2*t**2 - 202. Let u(a) be the third derivative of p(a). Determine u(z(o)).\nAnswer: 192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 27.2. Let s = w - -0.8. Let m(y) = -y**3 + 3*y**2 + 4*y - 2. Let z be m(4). Which is the smallest value? (a) s (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -89 and 637 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = -12. Let r(q) = -4*q - 2. Let t(k) = k**3 + 5*k**2 - 7*k - 3. Let y be t(-6). Suppose 0 = j - y + 2. Let a(d) = -d. Give j*r(z) + o*a(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*q + 66128, -2*a + 7492 + 25582 = 4*q. Suppose -3*y - 5*m + a = -6316, -38075 = -5*y - m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.1347 and 7.\nAnswer: 140.9429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/7 - 1910*i**2\/7 + 15184*i\/7 - 30304\/7 = 0 for i.\nAnswer: 4, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + 429?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 30 = 2*b, 3*u = 5*b - 20 - 16. Calculate the remainder when 53 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148420877*t**2 - 123653638*t wrt t?\nAnswer: 296841754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 4*g + 23 = 0, -w + 24*g - 19*g - 16 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 32 + 12)*(0*f - 2*f + 4*f) + f + 3*f + 0*f + 0*f + 6 + 8*f + 3*f - 3.\nAnswer: -65*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(21)\/sqrt(3) + sqrt(7)) + sqrt(14)\/(sqrt(2) + sqrt(2)*2 - sqrt(2))*-1.\nAnswer: 71*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3220, 3196, 3156, 3100, 3028, 2940?\n\"Answer: -8*w**2 + 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**4\/24 - q**3 + 171*q**2 + 2*q + 2. Let d(u) = 4*u - 3. What is 5*d(h) - 3*f(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1052 + 1124 = -4*k, -3*a + 202 = -5*k. What is the smallest common multiple of 640 and a?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*o + 236*o - 19*o + 28*o as x + q*o and give q.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41518, 83655, 126412, 169789, 213786?\n\"Answer: 310*x**2 + 41207*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose 10 = 3*j - n*j. Solve -4*q + 2*k - j = 0, 6*k + 15 = 3*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 25*s - 58 - 175 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/30 + r**3\/2 + 3*r**2. What is the derivative of c(o) wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526.82 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 143*b + 4. Let j(v) = 143*v + 5. Determine 5*h(r) - 4*j(r).\nAnswer: 143*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) + sqrt(99)*3*5 - sqrt(99)))\/(sqrt(9) + -2*sqrt(18)\/sqrt(2) + sqrt(54)\/(-2*sqrt(6))).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 3. Let i(t) = 2*t**2 - 4. What is -3*i(c) + 4*l(c)?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.3. Which is the nearest to -0.1? (a) u (b) 3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959604 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.681 + 2.319. Which is the second smallest value? (a) 5 (b) m (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 131 = 356. Let u = 376\/5 - w. What is the nearest to 1 in 0.4, u, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 251559443 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3)*m*m)\/m**6*m\/(m\/m**(4\/7))*m**2)\/((m**(2\/7))**(-16)\/(m*m**3\/m*m\/m**5*m*m*m)) assuming m is positive.\nAnswer: m**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/4)\/c*c**2*c**(-1)\/c*(c*(c\/(c**(-2\/7)\/c)*c)\/c)\/c*c*c*c assuming c is positive.\nAnswer: c**(113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 25146?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261080 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/60 + y**4\/24 + 5*y**3\/6 + 3*y**2. Let c(a) = -a**2 - 2*a - 6. What is 3*c(o) + 4*q(o)?\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57339*t + 57335*t - 229353*t + 57336*t + 57345*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = 0, 0 = 4*a - 0*g - 5*g - 68. Suppose -c - 3*m + 12 = -2*c, 0 = -2*c - 3*m + a. Is 3 a factor of c + (-1)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246868 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -19. Suppose 0 = -4*p - y - 118. Let h = p - -37. Solve -h*s = -5*r - 15, 0 = -3*s + 5*r + 7 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -25) + (-1 + -2 - -13) - (26 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 454364 = -66464. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-46)\/18 - (-4 + 1). Sort 0.5, 2\/5, f, -3.\nAnswer: -3, 2\/5, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*o = -213*o + 117. Solve -o*m + 11*m = 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 26, 30, 34, 38?\n\"Answer: 4*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:44 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110122012 (base 3) to base 8\nAnswer: -21774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8039, -16080, -24121, -32162, -40203?\nAnswer: -48244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -85. Let a(j) = -2*j**3 + 3*j**2 + 3*j - 3. Let t be a(k). Is t at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664 plus 0.09353008?\nAnswer: 3664.09353008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 5*h - 266 = 0. Suppose -o - 10 = -3*o. Suppose o*l = 165 - 25. Calculate the greatest common factor of h and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4170330+2.3\nAnswer: -4170327.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t. Let r(v) = v**2 - 6*v + 1. Determine -4*g(w) + r(w).\nAnswer: 5*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104342 (base 13) to base 9.\nAnswer: -640125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*-9 + 4. Is 13 a factor of (-5)\/o - (-4 - 21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 44. Suppose 11 = h*p + 4*x + 3, 4*p + 2*x = 16. Calculate the remainder when 20 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*37\/(-5661)*45?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13246*j - 13244*j = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let f be c(9). Let o(y) = -y**2 + 2*y + 1. Calculate o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 12. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(243))**2 + 1 + sqrt(243)*3.\nAnswer: -485 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-28))\/((-1)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16, -12 = -4*w + 3*n - 0. What is the units digit of (-22)\/w*(9 + -30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*y - 184, 2*s + 1265 = -5*y + 1375. Let f = -0.08 + -4.92. Which is the nearest to -1? (a) f (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, 2*n - 25 + 96 = -5*y. Let r = n - -53. Solve -3*o + 3*l + 8 = 4*l, o - r = 2*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/5 - 2574*g**3\/5 + 887334*g**2\/5 - 37163522*g\/5 - 119546232\/5 = 0. What is g?\nAnswer: -3, 52, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 6300 - 6480 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3044280 divided by -25369.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 10*d**2 + 7 - 8*d**2.\nAnswer: 2*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 46*p - 24*p - 24*p - 71 - 575.\nAnswer: -p**2 - 2*p - 646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 193605185*h + 37482967658884225\/2.\nAnswer: (h - 193605185)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/5)\/(t\/(t*t**(2\/17))))**15*t\/(t*t**(-2\/11)\/t)*t\/(t**(-5)\/t)*t**(-3\/10)*t**(1\/14) assuming t is positive.\nAnswer: t**(220684\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:38 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 7\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from lomoollgmmmmmo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 17*x**4\/6 - 17*x**2\/2 - 29*x. Let c(l) = l**2 - 3. Let s(q) = 5*c(q) - r(q). Let y(w) = 2*w. Determine y(s(a)).\nAnswer: -58*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x. Let j(k) = -2*k**2 + 23*k - 1. Give -j(q) - 5*y(q).\nAnswer: -3*q**2 - 13*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 13 + 221)*(z + 3*z - 5*z) - z + 3 - 3 + z + 1 - 1 + (-2*z + z - z)*(0 + 0 - 1).\nAnswer: -291*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6975)\/(-124) + 2332\/(-44)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 0.7. Let q = i + -0.7. Which is the nearest to q? (a) -3\/4 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + h - 3*h + 26*h**2 + 0*h.\nAnswer: 26*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.27 + -1.43. Let p = a - -2.6. Let q = p - 0.98. Round q to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))\/i**(2\/3))\/(i\/i**(-1))**(-17) assuming i is positive.\nAnswer: i**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4199.\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkqy when four letters picked without replacement from {p: 7, j: 2, k: 6, y: 3, q: 1}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 375457722 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/78 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 3 - -3 - -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11))**(-33)\/(((z\/z**(-25))\/z)\/z)**(-8) assuming z is positive.\nAnswer: z**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 6 + 0 - 4. Let i = 2 + w. Which is the third biggest value? (a) i (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1080*g. Let v(t) = -2*t**2. What is x(v(w))?\nAnswer: 2160*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1611 and 36693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/10)\/((-264)\/1260). Let w = -1421\/396 + l. Calculate the common denominator of w and 62\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**8\/7560 - h**7\/3780 - h**6\/810 + 22*h**3\/3 - 5*h**2 + h. Let v(m) be the first derivative of t(m). Solve v(a) = 0 for a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*q = -365*q - 42 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6919 (base 11) to base 10\nAnswer: -9095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:32 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1753*g**7\/70 - 263*g**5\/20 + 1387*g**2. What is the third derivative of f(s) wrt s?\nAnswer: 126216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(4 + -3)*(-10 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*u**3 - u**2 + 50*u - 166865?\nAnswer: 135*u**2 - 2*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:06 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.783 + -0.217. Sort 1\/4, -2, -6\/11, u in decreasing order.\nAnswer: 1\/4, -6\/11, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 0.01. Let z be 12\/(-4) - (-12)\/3. What is the closest to -1 in 3, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.473 or 281.23?\nAnswer: 281.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/1547 - 41754\/7735. Let l = -86\/15 - r. Let s = 0.21 - 0.3. Which is the second biggest value? (a) -1 (b) l (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 11*u + 6. What is the smallest common multiple of g(-9) and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-880)\/(-7) + 3*(-6)\/(-63). Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/(-920)*8\/3)\/((-2)\/(-40))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 4*q - 381. Calculate the remainder when q is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388359691*k**3 + 356278214*k**2?\nAnswer: -2330158146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -83. Suppose o + 23 = 5*r. Solve -r + 2 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*70104\nAnswer: 7010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + sqrt(96)\/sqrt(4))*-3 + sqrt(24) + sqrt(24)*-1*-3)\/(-1*sqrt(160)\/sqrt(5)*-5))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207876 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3)*2716\/(-1552) - 11) + (-9)\/13\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 410 + -401. Suppose -3*m = 4*b - 10, -4*m + 24 = 2*b + 4. Let x = m - 0. Calculate the greatest common factor of x and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*k**3*q*w - 7*k**3 - 957*k**2*q*w + 438*k*q wrt w?\nAnswer: 10*k**3*q - 957*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**2 + 56*t + 68.\nAnswer: (t + 2)*(11*t + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*j**3 + (j**2 + 5*j - 5*j)*(-1 + 1 - 5*j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 4. Let g be l(3). Let m = 1 - 9. Let w = -11 - m. Which is the third biggest value? (a) w (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -c + 27610, 115*c = -5*r + 110*c + 34490. What are the prime factors of r?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/7)\/t*t**1*t*t**3*t\/(t*t*t*t**(-1\/18)*t*t)*(t*t**(2\/5))**(-1\/7)*(t**0\/t)\/t**(3\/4) assuming t is positive.\nAnswer: t**(-2927\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0 - 2. Suppose y*m + 4*m = -948. Is (-6)\/(-24) + m\/(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p**3 + 0*p - 8*p**3)*(13*p + 29*p - 14*p).\nAnswer: -84*p**4 + 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 14220*z - 1368957. Calculate l(-95).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(9\/2)\/(((y*y\/y**(-5\/2))\/y)\/(y*y\/y**(-5))) assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 584 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuiui. What is prob of sequence uii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79245, 79242, 79239, 79236?\n\"Answer: -3*a + 79248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14318172 divided by 7524\nAnswer: -1903","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51757431*x**3*z + 3240*x**2*z - 2*x**2 + 809*x*z + 2 wrt x?\nAnswer: -310544586*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/115)\/((-8)\/(-100)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let g(h) = -96*h + 42. Let n(y) = -144*y + 58. Let d(a) = -7*g(a) + 5*n(a). Give c(d(x)).\nAnswer: 9216*x**2 + 1536*x + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 1700 - 1590 = 0. Is x a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318291 - 150898. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 0*p**2 - p**2 + (-1 + 0 + 0)*(3 + 2*p**2 - 3))*(2*p**2 - 2 + 2).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - (8 - 0)*2374. Round i to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84374 by -5.\nAnswer: -84374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1496 and 57902.\nAnswer: 2547688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**6\/432 - 5*n**5\/144 + 6*n**3 + 82*n. Let y(f) be the second derivative of h(f). Factor y(p).\nAnswer: -5*p*(p + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125763150 divided by 25152630\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39507*d*i**3 - 18*d*u**3 + 3*i**3*u**2 + 247*i**2*u**2 + 236*i*u**3 wrt d.\nAnswer: -39507*i**3 - 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3\/(-12))\/((-2)\/8))\/(274\/28156514) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14610 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.01, 2\/83, -2, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*r = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5354.92956 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-4)\/6) + 5. Let t be n\/3 - 336\/(-36). Let d = t - 8. Solve 0 = d*a - o, 13 = -a + 5*o - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16596*o - 1 - 9218*o - 7372*o.\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 y when four letters picked without replacement from lacylclcly.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16991.09 + -16991. What is the closest to s in -2\/7, -6, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 5 + i**4 + i**3 + 5*i - 5*i**2 + 5*i**2 - 3*i**3 in the form c*i**2 + f*i + g*i**4 + z + d*i**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 604*h**7\/21 - 83*h**4\/2 + 87*h - 3. What is the third derivative of j(g) wrt g?\nAnswer: 72480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -5) + 1 - 1. Find the second derivative of f**3 + q*f + 5*f**2 + 2*f**3 - 5*f**2 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -33, 25, 3\/50, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 - 7457626*v\/3 + 22372824.\nAnswer: 2*(v - 3728804)*(v - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*d - 606 = -5388 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(117) - 6*(sqrt(117) - (sqrt(117) - ((sqrt(117) - sqrt(117)*1) + sqrt(117)))) - -4*sqrt(117)*-2)\/(-5*2*sqrt(81)).\nAnswer: -13*sqrt(13)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/3 + d**2\/2 - 2*d. Suppose 3*w + 13 = -2*j - 17, 0 = -j - 6. Give x(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/29*175\/75?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o. Let a(m) = m - 1. Suppose -3*h + 46 = 10. Let n be (0 + 16\/(-28))*(-42)\/h. Give n*l(x) + 2*a(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 - 9*d + 1. Let h = -24 + 30. Determine z(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.650097477273 - -0.8.\nAnswer: -15.850097477273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 2023*g**3 - 28*g**2 + 19*g**2.\nAnswer: -2023*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3320 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 805, 3431, 7837, 14029, 22013, 31795, 43381?\n\"Answer: c**3 + 884*c**2 - 33*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*b - 9 - 498*b**3 + 3*b**2 - 2*b**2 + 500*b**3 to s*b + q*b**2 + l + d*b**3 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:53 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-952 - 3)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1906*f*o**4*s - f*o**2*s - 311*f*s + 2*f wrt o.\nAnswer: -7624*f*o**3*s - 2*f*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0 - 3*q - q + 1 - 5*q. Determine r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120211021 (base 3) in base 8?\nAnswer: -74763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.07 (b) 24 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 166432*u**2 + 1323411*u**2.\nAnswer: 1489843*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*s - 17780277*a**3 + 9320*a*s + 3*a - 1475*s wrt s.\nAnswer: -2*a**3 + 9320*a - 1475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t. Let a be t*(2 - 1)\/(-1). Let h(l) = -3*l**2 + 22*l - 5. Let b be h(7). Solve 0 = -2*q - 3 + 1, -b*z - 5*q + 1 = a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - d8?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + (-2 - 2) - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -281945.\nAnswer: -479306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -11 - (4 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32930213669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -200201 (base 3) to base 14\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 2816924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0 - 1\/2*i**4 + 0*i**3 - 9*i + 0*i**2. Let r(y) = -2*y. Give s(r(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 45, -3*y + 63 = 4*f + 99 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let k(l) = 2 - l + 0*l**s - 3*l + 6*l**2 - l**3. Let b be (-3 + 13)\/(2 + (0 - 0)). Give k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 18 - (0 + 14\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 70*b**2 - 537*b - 738. What is o(61)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -19*p. Let t(g) = -18*g. Let x(s) = 5*o(s) - 4*t(s). Let b(d) = -4*d. What is -34*b(q) + 6*x(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5143 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 6*v. Let p be x(-3). Let o(g) = g**2 - 11*g - 3. Let h be o(12). Calculate the greatest common divisor of h and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 20*y + 27*y - 40*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386761 to the power of 1\/2, to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 3102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 174*c**2 + 413*c - 17050. Determine o(-171).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0 + 7*a + 7*a**2 + 1\/12*a**4 - 11\/6*a**3. Let r be p(10). Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950\/24 - 1\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + x - 23, 10*x - 11*x - 22 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 14027*h. Let x(w) = w. Calculate a(x(c)).\nAnswer: 3*c**2 - 14027*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17879\/2467592 - -12\/1847. Let j = 7519\/5344 + q. Let m = -3\/32 - j. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5482088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 + 17 = 0. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v\/v**1)\/v))\/v))**15\/((v**9*v*v)\/(v*v**(-2\/3))) assuming v is positive.\nAnswer: v**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37962 (base 12) to base 10.\nAnswer: 75674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 - 9 - (1 + 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*w**2 + 480*w**2 - 241*w**2.\nAnswer: -195*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 476*g - 23 with respect to g.\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -4*sqrt(110)*-2)\/sqrt(10))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12943.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3 + 10*s + 6*s**2 + 0*s**2 - s**3 + 0*s**3. Let h be (4\/6)\/((-4)\/(-42)). What is the tens digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3811 and 8880.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12)*(-1 - 0). Let h = 727 - 557. Let d = -175 + h. Which is the closest to d? (a) m (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 762 - 125?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -74, 1, -0.5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -68, -154 in descending order.\nAnswer: -2, -68, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89351800 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 200*o**2 - 1990*o + 1800. Let a = -155 + 150. Let h(n) = n**2 + n - 1. Let z(b) = a*h(b) + r(b). Factor z(x).\nAnswer: -5*(x - 19)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:55 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -133*m**3 - m + 20. Let d(k) = 136*k**3 + k - 21. Give -4*d(a) - 5*q(a).\nAnswer: 121*a**3 + a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*(4 - (-16)\/(-6)). Suppose -62 = -l*r + 4*r. Are r and -32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1322 or -15?\nAnswer: 1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 560095.849 to the nearest 100.\nAnswer: 560100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.483 - 0.483. Which is the second smallest value? (a) -0.102 (b) v (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366*a**3*u + 3*a**3 - 19*a**2*u**2 - 272*a**2 + 21*a*u - 183*a wrt u.\nAnswer: -366*a**3 - 38*a**2*u + 21*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.48 + 9.\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 20*l - 14*l - 25. Give g(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b91aa (base 14) in base 10?\nAnswer: -985442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4328557 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 2*v**2 - 6*v + 16*v + 12 - 3. Let y be x(7). Suppose 4*a + 10 - y = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23\/8 of a centimeter?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 63*f = 253*f + 9676 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13141121 (base 6) to base 13.\nAnswer: 1221b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30793 = 417*h - 4765 + 15290 - 20181 for h.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (504\/(-40))\/(-9) - (-351)\/(-165). Which is the closest to z? (a) -4\/7 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = 1. Let l be (2 + -3)\/(w\/(-11)). Let s be ((-6)\/(-4))\/((-18)\/(-264)). Calculate the highest common factor of l and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079*2.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11781 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and -2*1 + (-6433)\/42*-6?\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 = -34*j - 765*j - 17619 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-453 - -464 - (0 + -1))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 111*i**2 - 5*i. Let c(m) = -1262*m**2 + 318*m - 3546*m**2 - 1410*m**2 - 831*m**2. Determine 318*a(z) + 5*c(z).\nAnswer: 53*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 36*b**2. Let z(v) = 13*v + 105. Let n(w) = 11*w + 104. Let s(q) = 6*n(q) - 5*z(q). Give s(t(d)).\nAnswer: 36*d**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 118337928, 118337926, 118337922, 118337916, 118337908, 118337898, 118337886?\n\"Answer: -z**2 + z + 118337928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 1694?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2517276325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54429*x**4 - 160304*x - 40*x**3 + 40*x**3 + 160304*x)*(-x + 3*x + 0*x).\nAnswer: -108858*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 + 2*j. Let p be m(-2). Let f = p - 22. Let o be f\/(-2) + (-69)\/21. Is o >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 1 + 13 = -4*w, 4*r + 33*w + 134 = -3*r + 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -7*m**5\/60 - 97*m**4\/168 + m**3\/21 + 1085*m**2. Let l(j) = 0. Calculate j.\nAnswer: -2, 1\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5812, -11651, -17488, -23323, -29156?\nAnswer: -34987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 113, 367 in increasing order.\nAnswer: 5, 113, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/10404 and 181\/7501284.\nAnswer: 7501284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:27 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*s + 4*n, -4 = -n + 3*n. Suppose -y + 519 = s*l, -y = -4*l - 124 - 395. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58ca0 (base 15) to base 16\nAnswer: 4515f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97553003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + -180. Let q = w + -24. Solve -y + 6 = q*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h + 52. What is s(7)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-90))\/((12\/(-20))\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -3*s. Let q be 343\/14 - s\/4. Let k = 41 - q. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 2\/11, 5, -26?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 + 7*h - 7. Suppose 31*q - 16*q = 210. Let w(d) = d**3 + d**2 - d + 1. Calculate q*w(r) + 2*j(r).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let c(d) = 6*d - 35. Let q(i) = -i + 6. Let k(g) = 6*c(g) + 34*q(g). Suppose 3*y + 27 = 9. Let s be y\/(-10) + 4\/10. Determine s*k(j) - 4*f(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4477277 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (241000\/66275)\/(-1 - -1 - (-3 - -5))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -229558 in descending order.\nAnswer: 4, 0, -5, -229558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1759*m**2 + 14089*m**2 - 70*m + 145*m - 75*m + 2893*m**2 + (-m - 6*m + 4*m)*(0*m - 3*m + 5*m).\nAnswer: 18735*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.7. Let a = -23 - -31. Let s = 5 - a. Sort 0, s, c in ascending order.\nAnswer: s, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:57 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4152*l**3 + 122*l**2 + 4157*l**3 - 23*l**2 to z*l**3 + v + f*l**2 + p*l and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s - 5*s)*(3*s - 3*s + s**2)*(-120*s - 30*s + 27*s).\nAnswer: 369*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + 12.18. Let z = 510 + -512. Which is the nearest to g? (a) 1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 - 336*h + 333 = 0. Calculate h.\nAnswer: 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58976779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k - 103. Determine m(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7))\/((n\/((n\/((n*n*n*n**(4\/9)*n)\/n))\/n)*n)\/n))\/(n**8*n**(-1\/8)) assuming n is positive.\nAnswer: n**(-1319\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4503482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 33. Suppose -20*r = -61*r + 13202. Suppose -43*y - 151 = r. Is y less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vkh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 289*t - 2 + 9 + 49*t - 2 to the form y + f*t and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 28*i**3 - 140*i**2 - 176*i = 0. Calculate i.\nAnswer: -22, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 15. Calculate a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c + 17. Determine l(-12).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2140 divided by 535\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, -3, 58.1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 86 = -31*b + 97 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - t = -126, 5*k - 2*t - 289 = 2*t. Suppose -3*u + h = k, u = 5*h - 2*h - 31. Let d = 39 + u. What is the lowest common multiple of d and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473464387 to the nearest integer?\nAnswer: 21759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5093, -5095, -5097, -5099, -5101?\n\"Answer: -2*w - 5091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 9. Let y(n) = -5*n + 14. Let i(u) = -8*d(u) - 5*y(u). Let v = 2 + -5. Give i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.399 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*b = 315. Let k = -43 + b. Solve k = -4*v - d + 10, 3*d + 15 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let g(o) = 12*o + 15. Let i(y) be the third derivative of -y**4\/6 - 5*y**3\/6 + 4*y**2. Let w(k) = 2*g(k) + 7*i(k). What is -5*t(r) + w(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.44787 rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-6 - (-26 + 7 + 27 + 14))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 7855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373326 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -40.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 428 - 102 - 161 - 165 + 17792*w as a*w + z and give a.\nAnswer: 17792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:53 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 332464.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 + 47*m**2 + 44*m + 14. Let v(h) = -h**3 - 16*h**2 - 15*h - 5. Let u(k) = 6*d(k) + 17*v(k). What is u(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 + 4 = 0. Suppose 4*w + 9 = d*h - 18, -5*h - 5*w = -10. Suppose 2*f - 14 = -2*p - 0*p, 0 = 5*p - 5*f + h. Which is bigger: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60406 is divided by 349?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 4) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714148939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -1\/240*h**5 + 0*h**4 + 11\/6*h**3 + 0*h**2 - 5*h + 0 + 1\/720*h**6. Let j(o) be the second derivative of d(o). Factor j(c).\nAnswer: c*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Suppose -c + 4 = -2*i - 0, g*c = 2*i + 12. Suppose -2*s - 3*d + 12 = -17, i = -s + 2*d + 11. What is the greatest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68068695*l**2*w - 600769*l*w wrt l.\nAnswer: -136137390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:43 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 - w**4\/24 - 6*w**2. Find the second derivative of a(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:10 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 162143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n**(1\/5)\/n*n)\/(n**(-1))**(4\/9)*((n*n*n*n**5\/n*n)\/n**(-2\/15))\/(n\/(n*n**0))**48 assuming n is positive.\nAnswer: n**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca - -4?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/74869?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*g = 123*g - 48. Suppose g*z + 55 = k + z, 3*k - 4*z = 198. What is the greatest common factor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:04 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 993633059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9377 + 14154. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let t(x) = x**2 + x**2 - 2*x**2 - 7*x**2. Determine d(t(h)).\nAnswer: 147*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 366904 bigger than 366904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 610766\/9 > 67862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(-32\/7)*(l*l**(-32))\/(l*l**(8\/3)) assuming l is positive.\nAnswer: l**(-1496\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*r**2 - 228*r**2 - 4*r + 5*r - 3*r.\nAnswer: -366*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138.04 - -134. Let g = -2 - -2.04. Let z = g + i. Which is the closest to 0.2? (a) 0 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 2*g - 8. Let b(c) = c**2 - 1. What is 5*b(j) - p(j)?\nAnswer: 3*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 - 101. Suppose 7*h = k + 95. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.4 - -4.7674326396.\nAnswer: -33.6325673604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*a - 1435, 1790 = 5*a - 0*a + 5*l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002661456884 rounded to 7 decimal places?\nAnswer: -0.0026615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.302?\nAnswer: 0.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 21 = y + 3*y, -3*r = -5*y - 23. Suppose -5*h = 2*x + 3, -17*x - 12 = 4*h - 13*x. Solve -r = -2*z + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82 - 153 - 303 - 77)*(3*f**3 + 0*f**3 + 0*f**3)*(3 - 2 + 0) to x*f**2 + w*f**3 + v*f + i and give w.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -q + 3*w + 121, -5*w = -5. Let s = -2 + 6. Suppose q - 8 = s*p. What is the greatest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3333 - -2?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Suppose -363442 = -t*i + 62558. Round i to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/88*176\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhx. What is prob of sequence hhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (2 - 1)*-2. Let w be (-2)\/f*-2 + -1. What is the units digit of 8 - w*1\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 18138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 9*r**2 + r - 6. Let f = -19 - -40. Suppose -k = -4*b + 4 + 13, 2*b - 3*k - f = 0. What is the remainder when b is divided by d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkvcid. Give prob of picking 1 v and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59531861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -57. What is the closest to -2 in d, 0.2, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 6\/(-4) - -1. Let l be (4\/6)\/((-5)\/(-372)). Let i = -50 + l. Sort i, -0.2, o.\nAnswer: o, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5963008 to the power of 1\/2, to the nearest integer?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*l**2*z**3 - 273*l**2*z**2 + 2*l*z**3 - 2*l*z wrt z.\nAnswer: 2940*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2444*q + 2810155 - 2810155 to the form r + h*q and give h.\nAnswer: -2444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*10\/(-240)*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.1, 5, 3, -0.02?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f - 2*f)*(-1 + 0 - 1 + (25 - 16 + 26)*(2 + 1 - 1)).\nAnswer: -272*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7c26c3?\nAnswer: 7c26c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 - 13 = 2*k, 0 = 3*g + 5*k + 20. Solve q + g = -4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2372*u**4 - 88*u**2 - u + 551853 wrt u.\nAnswer: 9488*u**3 - 176*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4221)\/(-938)*((-1243)\/(-207) + -6)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8379 + 42157\/5. Let o = 2599\/60 - g. Find the common denominator of o and 39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1227 - 1226. What is the third biggest value in y, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**4 + 152*k**3 - 1104*k**2 - 608*k + 4480 = 0.\nAnswer: -2, 2, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*j + 2*l, -6*l - 38 = 7*j - 5*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163832 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -617667.5.\nAnswer: -9882680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + 44\/24. Let s(j) = -j**3 - 20*j**2 + 2*j + 46. Let t be s(-20). Sort x, t, -2, 5 in descending order.\nAnswer: t, 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than -1638095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5354 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342825445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - ((0 - 8) + -6). Sort -4, l, -94, 0.\nAnswer: -94, -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118513742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-162) + 12\/3)*9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6bf - 49?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -0.1 (c) 4 (d) 49 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1258 by -4149.\nAnswer: 1258\/4149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 66. Let b = 8 - l. Let m = -9 - b. Solve 2*z = 5*u - m, 0*z + 3*z = 2*u - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 9 - 1, -3*g + 4 = -358140*u + 358136*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from vvqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6990, 28003, 63038, 112095, 175174?\nAnswer: 252275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/9))\/n**12)\/((n**(-3)\/n)\/((n*(n*n*n**8)\/n)\/n)) assuming n is positive.\nAnswer: n**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 178286.9 micrograms?\nAnswer: 0.0001782869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2914*x = 2865*x + 373527. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 0 - 40\/2. Let d be (z\/5)\/((-1)\/5). What is the remainder when ((-56)\/12)\/((-4)\/d) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/60 + d**4\/24 - 9*d**2. What is the second derivative of n(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 220, 411, 602, 793?\n\"Answer: 191*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 288 (c) 0.5 (d) -0.195 (e) -0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 + -147. Let z = -94.43 + l. What is the third smallest value in 3, -5, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64396 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-30))\/(7\/21)*15. Let b = -4 - w. Calculate the lowest common multiple of b\/(5 + 12\/(-3)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/21))**32*(p\/(p**(-21)*p))\/p**(-1\/4) assuming p is positive.\nAnswer: p**(2041\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/3 - 4*u**3\/3 - 16*u**2\/3 + 16*u\/3.\nAnswer: 4*u*(u - 2)*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16267*c + 65047. What is l(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-1)\/(12\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myz when three letters picked without replacement from {e: 3, z: 6, m: 3, y: 2, q: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4300021, -8600044, -12900067, -17200090, -21500113?\n\"Answer: -4300023*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c - 8*c. Suppose 9*f - 36 - 27 = c. Solve 10 = 5*a - 5*h, f = -4*a - h + 2*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:32 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 14*z - 20*z - 21*z**3.\nAnswer: -21*z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 2, s: 5, y: 10}. Give prob of picking 4 y.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107 is divided by 140.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -148 (c) 0.3 (d) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 93 and 89 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 13*b**2 - 15*b - 9. Let j be a(11). Suppose i + j = -4*z, 81 = -2*i + 2*z + z. Let n = i - -68. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*j + 9, -b + 2*b + 1 = j. Let o be b\/(-3)*5*-21. What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3)*k**(-3)*k)\/(k**(-1))**(-2\/75) assuming k is positive.\nAnswer: k**(-84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291.6 + -291.4754. What is x rounded to 3 dps?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9375313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184608000 = 69*c - 33*c. What is c rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -7\/2*l**5 + 3*l**4 + 68\/21*l**3 - 7*l - 98\/15*l**6 + 8\/7*l**2 + 0. Suppose u(p) = 0. What is p?\nAnswer: -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.453285099 + -0.1?\nAnswer: 0.353285099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -424110403?\nAnswer: 424110412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -125 - 235. Suppose z = -4*b + 8*b. Let y be 1 + (2 + b)*7\/(-14). What is the smallest value in 14, -6\/11, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 - -422. Let g(p) = 5*p**3 + 3. Let b(f) = -24*f**3 - 16. Determine n*b(l) + 16*g(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 69, -22.9, 2\/9, -1?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 15*j + 45. Let d be 11\/(3*(-3)\/(-9)). Let i be u(d). Solve 4*g - i = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 4*y)*(571923*y - 14*y**2 + 7 + 571898*y - 1143848*y).\nAnswer: 14*y**3 + 27*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19656 and 294216?\nAnswer: 18535608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 21*s + 20. Let c(n) = 2*n**3 + 18*n**2 + 20. Let z be c(-9). Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2247 + -2245. Is 3\/5 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h**3 - 14960904*h**2 - 22441275*h - 8415468 = 0.\nAnswer: -311684, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -21 (b) 3 (c) 5 (d) 2 (e) -5 (f) 440\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 4\/11 (c) 3 (d) 1.1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1220659*y**3 - 6*y - 95019 wrt y?\nAnswer: 7323954*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/11 + 593*i\/11 - 592\/11 = 0.\nAnswer: 1, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 2*m**3 + 0*m**2)*(-m**2 + m**2 - 4*m**2) - m**3 - 2*m**5 + m**3 + m**2 - m**5 - m**2.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 6*o + 4*o)*(-2*o**3 + 6*o**3 + 0*o**3 - o + o - o**3 + (-o**2 - 2*o**2 + 4*o**2)*(3*o + 2*o - 3*o) + o**2 - o**2 - 2*o**3).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 31 + 31 + 4*y**3 + y**2 in the form f + v*y + k*y**2 + m*y**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2892*y + 1179. Is w(3) a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7294*r**2 - 200432. Let b(o) = -2*o**2. Determine s(b(u)).\nAnswer: 29176*u**4 - 200432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 47. Let g = a + -11. Let x be 11*(g\/(-8) - -2). Are x and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 3, n: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/98 + (-8565)\/105 + 14\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 2*f + 3. Let x be n(6). Suppose -151*k + 36 = -147*k. What is the greatest common factor of x and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:32 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 43, -2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-3))\/((-4)\/282).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-11)\/(616\/(-546)))\/(1\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68889*o + 2430 = -69024*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + -145. Put q, 3, 4 in increasing order.\nAnswer: 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + 3 - -1)*-4. Let c = h - -75. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373*s**3 - 1067*s**3 + 825*s**3.\nAnswer: -1615*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(1 - 1 - 2*n) - 27*n + 2 + 21*n + 0 + 0*n + 2*n + 0*n as u + c*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*s - 12. Let p be 3\/2*(12\/s - 4). Find j such that -10*j**2 - 7*j**3 + 10*j**4 + 2*j**3 - 5*j**5 + 10*j**p = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a**3 + 11*a**2. Let z(u) be the second derivative of 7*u**5\/20 - u**4\/3 + 34*u. What is -4*x(s) - 11*z(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 + 0 - 2*d + (3 - 2 + 1)*(-2*d - 8*d + 2*d) - 2*d - 4*d + 5*d + 1 + 6*d - 19*d + 10*d)*(-3*d + 6*d + 0*d) to v*d + k + q*d**2 and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190406 is divided by 95102.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*r**2 + 1\/4*r**3 + 1\/4*r**4 - 1\/4*r.\nAnswer: r*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 + t**4\/24 - 4*t**3\/3 + 2*t**2. What is the lowest common multiple of c(-4) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6643920 divided by -221464\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13\/3, -1\/3, 46, 5, -0.8, 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1\/12*w**2 + 1\/3*w**3 + 1\/36*w**6 - 1\/2*w - 165 - 1\/12*w**4 - 1\/10*w**5. Suppose t(c) = 0. Calculate c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*i**2 - 402*i - 202005.\nAnswer: -(i + 1005)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624726 and 1041210?\nAnswer: 3123630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -3*f**2 + 1\/2*f**3 + 1\/4*f**4 + 0 + 26*f. Factor v(s).\nAnswer: 3*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/90 + 26\/(-117). Let a = -4 - -3. Let l = a + 5. What is the nearest to 2\/3 in l, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/197594 and -42\/341.\nAnswer: 2173534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j**2. Let c(v) be the second derivative of 133*v**4\/6 + 4391*v. Calculate d(c(z)).\nAnswer: -990584*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r - 8*r - 206 + 1121 + 70 - 5*r in the form s*r + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10482 - -10528. Solve 5*v + 4*q = -10, -52 = 3*v - 3*q - b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649621283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -122*s + 1663. Let k be w(13). Solve -73*y + k*y = -16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15263, -30462, -45661, -60860, -76059, -91258?\nAnswer: -106457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 5. Let n(m) = -m**2 - 5*m - 11. Give -7*l(h) + 3*n(h).\nAnswer: -3*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8026, -8028, -8032, -8038?\n\"Answer: -k**2 + k - 8026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/15 - 49*y**5\/20 - 31*y**4\/12 - 4*y**2 + 5*y + 7. What is the third derivative of n(o) wrt o?\nAnswer: -48*o - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 18928000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 3276, 4915?\nAnswer: 6554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200322 - 1311121?\nAnswer: -2112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1975239439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14467 (b) -3 (c) -2 (d) -2\/5 (e) 4 (f) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74, 96, 82, 38, -30, -116, -214?\n\"Answer: h**3 - 24*h**2 + 87*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*y**2 - 1243 + 1243 + (3*y - 2*y + y)*(2*y + 0 + 0) + y - y - y**2.\nAnswer: -65*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 + -0.15. Let u = t - -3.5. What is the third biggest value in u, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3254 + 11787 + 5174 = 334*f - 1495 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15\/(t**5*t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b - 8. Let j(t) = -6*t + 4. Calculate 5*j(c) + 3*n(c).\nAnswer: 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 - -176. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 24*j**3 + 47*j**3 - 26*j**3 + 6 as m*j**2 + h + w*j + x*j**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1\/1 - 2. Suppose r*i = -3*l + i + 13, -5*i + 30 = 4*l. Solve 0 = -n + a - 9, l*n = -4*a + a - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 2 o when four letters picked without replacement from ttpptpitpppntippo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/9 - 4*f**2\/3 - 4*f - 20\/9.\nAnswer: 4*(f - 5)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5223000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.81 + -1.76. Let f = q + -0.05. What is the third biggest value in f, -1\/3, 3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*l - 30*l. Sort l, 2, -83, 1.\nAnswer: -83, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:19 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74292, -74281, -74258, -74217, -74152, -74057, -73926?\nAnswer: -73753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677, 3119, 7179, 12857, 20153?\nAnswer: 29067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 7*o**3\/4 + 12693*o**2 + 58017*o\/4 + 1813 = 0.\nAnswer: -7252, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -q + 23. What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, -4.\nAnswer: -4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 + 25114\/261. Calculate the highest common divisor of 408 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**5*w + 2*u**3 - 17818185*u**2*w + 46*u*w + 2*u + 3030*w - 2 wrt u?\nAnswer: 80*u**3*w + 12*u - 35636370*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/6 + 53*u**2\/2 + u - 9. Let f be z(11). Let g = 4 - -4. What is the highest common factor of f and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l + 6 = 0. Solve 4*t = -20, 0 = -l*j - 2*t - t - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4645254844.00000061 + -4645254990. Let q = u + 146. What is q rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m - m**2 - 25*m in the form r + c*m + u*m**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/3 - 19*m**2\/2 + 8*m. Let x be y(14). Find the third derivative of -d**2 - x*d**6 - 8*d**2 + 2*d**6 wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t - 3*b, 0 = -3*t - 3*b + 5 - 2. Suppose -4*r + 0*r = t. Put 19, r, 1 in descending order.\nAnswer: 19, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 14 - 36*m + 45*m)*(-6 + 7 + 2).\nAnswer: 27*m + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322835 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 2. Let a(g) be the second derivative of g**2\/2 - 2*g. Let l(d) = 6*a(d) - t(d). Is 22 a factor of l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 276?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 24249\nAnswer: -52\/24249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276687971.\nAnswer: 7, 17, 613, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/360 - 2*(-3)\/27. Let l(a) be the second derivative of a - 1\/5*a**5 + 0 + 0*a**2 - 1\/6*a**4 - z*a**3. Factor l(y).\nAnswer: -y*(4*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 10. Let k be m(-7). Let p = k - -6. Find the third derivative of 2*y**3 + 2*y**5 - 2*y**p + 2*y**2 + 2*y**2 wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9. Let b = -2 + y. Let t be 6\/(-3) + 2 - b. Solve 7*f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 1272 + 1272. Let n be ((-4)\/(-10))\/((-1)\/(-5)). Let q(z) = 4*z + 1. Determine n*q(m) + 5*j(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -82, -3, -2, 5, 3 in decreasing order.\nAnswer: 5, 3, 0, -2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 - 367*s\/3 + 122 = 0?\nAnswer: 1, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61785103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 6)\/(1\/(-12)). Let r(i) = -i + 13 - 11 - 3. Let a(d) = -10*d - 12. Let h be (7\/(-14))\/(1\/2). Calculate h*a(v) + q*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfaffaaefeefraefefa. Give prob of sequence faf.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 + 47*w**2 - 226*w - 2.\nAnswer: -12*w + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*j - 307*j + 968*j - 354*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 8 + 11. Let o be 10 - (u + 1 + -4). Suppose 0*a - 2*a - 258 = -5*c, -2*c + 80 = 5*a. Calculate the highest common divisor of o and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*((5 + -2 + sqrt(153) - sqrt(153)) + sqrt(153) + 0 + sqrt(153) + 4)*3)**2.\nAnswer: 12096*sqrt(17) + 95185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 38, 2\/5?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11422 is divided by 194.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (-8)\/90 + -56.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 476 and 10234.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/3)))**(-4\/9)*(p**(-1\/3))**(1\/3) assuming p is positive.\nAnswer: p**(-11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.135 + 0.065. Does o = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. Suppose a = -11*l + 6*l + 6265. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -159\/4. Which is the closest to g? (a) 1\/8 (b) -0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.69*1.43.\nAnswer: 0.9867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 9) to base 7\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.4 (b) 1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16026 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 55*k + 12. Let b be t(-8). Is (-8)\/b*853\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -22. Which is the third biggest value? (a) -1 (b) -1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -712134, -2848589, -6409348, -11394411, -17803778, -25637449?\n\"Answer: -712152*d**2 + d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:44 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 + r + 1. Let j be g(-1). Let c be 75\/27 + (-2)\/j. Suppose 3*z - 564 = -c*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7 - 28. Let i be -7 + (18\/(-6) - s). Let p = -6 + 5.92. Put i, p, -3\/4 in decreasing order.\nAnswer: p, -3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 14*m - 42*m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201102202 + 22?\nAnswer: -201102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-94)\/((-2 - 28\/(-16))*2). Let v = s + -193. Which is bigger: -5\/3 or v?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 447*s**4 + 2751*s**3 + 6009*s**2 + 5568*s + 1860 = 0. What is s?\nAnswer: -2, -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-171 + 167 - (0 - (18 - -2)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from usssssssusss.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -7 + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6814 or -460?\nAnswer: -6814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s**(-2\/5)\/s)\/s)\/s)\/s**(-1))**(-38) assuming s is positive.\nAnswer: s**(266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 - -11. 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 0.000018997 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743260 rounded to the nearest ten thousand?\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*v + 236 = -239 + 526, 2*y - 3*v = 37 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*p + 12, -p + d - 5*d = -9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-64) - (-62)\/4. Solve -r = 4*r + p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*d = 16, -16 = -5*d + 4. Sort 2, -5, q, -1.\nAnswer: q, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 159\/6*(-1 - 1). Suppose -5*v = 5*m - 430, -6*v = -3*v + 2*m - 260. Let a = v + f. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-48)\/(-42))\/(30\/(-35)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a + 9. Let g be j(-3). Suppose -8*s + g*s = -460. What is the highest common factor of s and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -395, -688, -1123, -1748, -2611, -3760?\nAnswer: -5243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -11)*((-8)\/7 - -2). Let q be (-1 - -2)\/((-2)\/(-4)). Solve 2*r - i = 4*j, -5*r = -0*j - q*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 345502 + -1?\nAnswer: 345501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d**2*w**3 + 10*d**2*w + d*w**5 - 4*d*w - 1 wrt w.\nAnswer: 48*d**2*w + 20*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + o. Suppose j = -2*j. Let u be v(j). Suppose u = -x - y - 2 + 13, 0 = -4*x + 2*y + 20. What is the remainder when 13 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003516961 rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -0. Suppose -h + 10 = o*h. List the prime factors of 24 + (5 + 1)\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j - 8*j + 84 = 50*j. Let c be (-12)\/(-2) + 0\/13. Solve -c*z + 18 = -j*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 5.\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*p**2*s - 22096*p**2 - 3286679*s wrt p.\nAnswer: -30*p*s - 44192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 1, h: 1, g: 1, v: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408170, -3265378, -11020658, -26123048, -51021586, -88165310?\nAnswer: -140003258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 - 0. Suppose t + g + 0*g = z, t + 5*g = -12. Suppose 4*f - 76 - t = k, -4*k - 21 = -f. Calculate the least common multiple of f and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/117729560 and 129\/76960.\nAnswer: 470918240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40300420 (base 6) to base 9\nAnswer: 2132183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250 + 466. Suppose 224 = 4*r + f. Let c = 0 + 6. Solve -c*a = -r*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 4)*(-h + 3*h**2 + h) + (-2 + 5 + 0)*(-h**2 + 0*h + 0*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 30 = 12. What is the second derivative of -3*d**2 + 12*d + 30*d**m + 13*d - 20*d + 18*d**2 wrt d?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let j(o) = -o + 42. Give j(d(w)).\nAnswer: -2*w + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-28) + 345\/(-12) + -1. Let i(x) = -8*x + 3. Let q be i(-6). Let m = n + q. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + -124.5. What is the closest to 1\/3 in 0, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4 - 10. Let t(s) = s**2 + 10*s - 9. Is 22 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/120 and -53\/56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqkfpfpqfqfffkk. Give prob of sequence qqf.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/(-1))\/((60\/(-315))\/((-3030)\/(-707)))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -796 times 999?\nAnswer: -795204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(22\/36 + (-1)\/9). What is the closest to u in 3\/7, -4.6, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -13*c**4\/24 + 7*c**3\/3 - c**2 + 2273*c. Let j(x) = -2*x**2. What is j(q(h))?\nAnswer: -338*h**2 + 728*h - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*14\/7*((-5)\/(-1))\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656590?\nAnswer: 2, 5, 11, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/20*(-10)\/4. Let u = -2 + t. Suppose -d - 4*f + 6 = 0, 0 = 4*d - u*f - 3*f - 5. Solve 2*m = -3*p - 16, p + 3*p = d*m + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 5701?\nAnswer: 56a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + -3 + 2 + (20 - 3 - (15 + 5)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 + 28*x**2 - 4 - 27*x**2 + 3*x - 3*x - 7*x**3 in the form m*x + s*x**4 + a*x**2 + i*x**3 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-12))\/(-3) - (-82)\/88. Factor 0*q + 0 - 2\/11*q**3 + d*q**4 + 0*q**2.\nAnswer: 2*q**3*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 11*d - 12. Suppose 1 + 2 = x - 4*b, -3*b = d. Let f(w) = w**3 + w**2 + w + 1. Determine f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93363.8114 + -93373. Let d = w + 9.2. Round d to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -4*h**5\/5 - 2*h. Let m(v) = -v**2 + 5*v**3 + v**2. Determine -10*m(b) - 3*n(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(143))\/sqrt(11).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = -4*h, -5*k + 3*k + 6 = -3*h. Let b(g) = -1808*g**3 - g**2 + 2*g + 3. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1. Let y be 43\/11 - (-13 - 2)\/165. Let u be ((-1)\/5)\/(10\/25). What is the nearest to -1 in q, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 6*z**2 + z - 5. Let u be t(6). Let v(f) = 807*f - 1. Let x be v(u). Suppose 5*p + x = 7*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7890678 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 445936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 1394?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201 or -1\/5122?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*u + 130, -3*a + 110 = 152*u - 144*u + 373 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g + 6. Let d = 20 + -22. Sort g, -5\/2, 4\/5, d in ascending order.\nAnswer: g, -5\/2, d, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14300 is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**2. Let o(p) = 24*p + 10. Let i(j) = 13*j + 6. Let g(y) = -5*i(y) + 3*o(y). Determine g(h(v)).\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 12:33 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 15\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let b(p) = -2*p + 3*p**2 - 4 - 7 - 4 + 2 + 11. What is b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11 - (18 - (12 - -2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3407 - -7690. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 1 = y, -5*s - y - 1 = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 713.4205 years?\nAnswer: 7.134205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006960646116 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/3 + 113300*x**2 + 10427832*x + 719617744\/3 = 0.\nAnswer: -46, 170042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s + 5*t - 12, 2*s = 2*t. Suppose s*v = -5*z + 1192, -4*v - 3*z + 2988 = 576. List the prime factors of v.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 117\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -190145884 plus -240.3?\nAnswer: -190146124.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.815 - -0.005. Let h = -0.18 - t. Let c = -4 - -2. What is the smallest value in h, c, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49398 is divided by 24694?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.15, 1.2, 7, 182.\nAnswer: 0, 0.15, 1.2, 7, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14504 (base 8) to base 16\nAnswer: -1944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6066794 divided by 123\nAnswer: 6066794\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h + 475. Determine q(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4874543*h**2 + 4961184 wrt h.\nAnswer: -9749086*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 12*g + 2. Let r be n(6). Solve -3*i + z = -14, -4*i - 3*z + 25 = r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361\/3 + 121. Factor 0*q - 2\/3*q**3 + 0 + 2\/3*q**2 - 2\/3*q**4 + t*q**5.\nAnswer: 2*q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmy when three letters picked without replacement from {m: 13, v: 1, y: 3}?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/4*(-5)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12250000\/(-3))\/((-24)\/144). What is y rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -100111110010110110010?\nAnswer: -100111110010110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4 + 24*y**3 + 182*y**2 - 204*y = 0.\nAnswer: -6, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 5*m - m - 3 + 2*m. Let b be q(-4). Solve -5*u = -b*c + 20, -3*c = 5*u - 2*u - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/100 + (1 - (-5)\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1104 divide 1568648356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a**2 + 3142*a - 484 = 0. Calculate a.\nAnswer: -121, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w**3 + 2 - 5 - 4*w + 4*w**2. Let t be h(4). Suppose 12*f + 1533 = 1569. Which is the second biggest value? (a) t (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2*y**3\/3 - 21*y - 86. Let b(a) = 2*a**2. Give w(b(j)).\nAnswer: -8*j**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 13*c + 13. Let s = -1 - 1. Put 5, c, s in descending order.\nAnswer: 5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a7c3 - -5?\nAnswer: -2a7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2*m**2 - m - 16. Suppose -5*p - 5 = -4*p. Is 25 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p**2 - 5*p - 1. Let z(y) = -3*y**2 + y - 1. Give w(d) + 2*z(d).\nAnswer: -30*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 25*t + 152. Give b(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/4)\/(18\/(-108)). Let p = 102 - j. What is the least common multiple of 15 and p?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 26*r**3 - 8*r + 9. Calculate i(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 200\/(-52) + (-4)\/26. Put -1, 7, b in ascending order.\nAnswer: b, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10551*h**3*x**2 + 2*h**3 - 15*h**2 + 28*h*x**3 - 154*h*x - 2*x + 21 wrt x.\nAnswer: -21102*h**3 + 168*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 11*m = -5*h + 20, m = -h + 4. Solve -5*x = 2*l - 35, 4*x + 5 = 5*l - m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = 16. Suppose -k + 0 = -o. Suppose -4*x + k*j + 10 = 4*j, -5*j + 20 = 2*x. Solve 0 = -x*f + 9 + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7\/2. Let y = 1 + -5. Let w be (-1)\/y*24\/33. What is the third biggest value in b, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 29*y + 1. Let t be d(6). Suppose 9*f - t = 4*f. Suppose 4*r = -r + f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtlm when four letters picked without replacement from ttmtmmtlmlmmttm.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20253 - -4875?\nAnswer: -14267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16027 - 2?\nAnswer: 16025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)\/w**(-12\/5))**(-19)*(w*w**(1\/2))**44\/(w\/(w\/(w*(w**1\/w)\/w)))**(-3\/5) assuming w is positive.\nAnswer: w**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12)*(3 + 3). Let a = 2 - 4. What is the closest to a in -5, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1110 and 229596470.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74655906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.1 - 37.6. What is the biggest value in 2, -0.4, p, 3\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15603 divided by 5?\nAnswer: -15603\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/4710?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k - 26. Determine f(-8).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -31, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-5))\/((-1)\/10). Suppose -r + 2 = -y - g, -2*r + y = -11. Factor -k**5 - 8*k**r + k**4 + 8*k**3.\nAnswer: -k**4*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 766220 and 10104?\nAnswer: 4597320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*h = 84, -2*c + 5*h + 4 = 41. Sort c, 131, -1.\nAnswer: c, -1, 131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(2736) - 4*sqrt(2736)) + sqrt(2736) + sqrt(2736) + sqrt(19) + sqrt(38)\/(-2*sqrt(2)))*-1 + 3)*5)**2.\nAnswer: 1725*sqrt(19) + 252175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6804 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 7. Let l be (12 + -6)*(-1 - -2). Let t(o) = -5*o + 6. Let n(p) = -3*p**3 - 3*p + 1. Let u be n(1). Let c(b) = l*m(b) + u*t(b). Calculate c(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*58\/(-4). Let i = -27 - n. What is the second derivative of 13*q**2 + 8*q**i - 13*q - 21*q**2 - 7*q**5 wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 10) to base 16\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17379.28 centimeters in meters?\nAnswer: 173.7928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75326?\nAnswer: 2, 37663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j - 0. Let z be j\/(-9) + (-3)\/9. Which is the nearest to 0.1? (a) -1 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17933, -36784, -55639, -74498, -93361, -112228, -131099?\n\"Answer: -2*p**2 - 18845*p + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3789055.\nAnswer: -3\/3789055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30137478539 + 2*a**2 + 30137478539.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45283 is divided by 11246?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 14*v - 2. Let j(a) = a**2 - 14*a + 1. Let z(d) = -5*j(d) - 4*m(d). Let h be z(14). Factor 142*p**2 + 1 - 3*p**h - 145*p**2 + 3*p + 2.\nAnswer: -3*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*x**2 - x + 2 - 19*x**2 + 10*x**2 + 6*x**4 as a*x**4 + r*x**2 + q + t*x**3 + s*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 140. Let o(g) = -32*g**3 - 4*g**2 - 9*g - 8. Is o(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 81*h**2\/2 - 1. Let z(o) = 6*o**2 + 220*o. Let c(r) = -r**2 - 44*r. Let b(j) = 5*c(j) + z(j). Determine b(l(v)).\nAnswer: 6561*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 - 3*i**2 - 5*i + 4. Let f be q(-7). Suppose -1181 = -6*a + f. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320546 (base 12) in base 4?\nAnswer: 3000210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 26, 62, 118, 200, 314?\n\"Answer: n**3 + n**2 + 12*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 5, -5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -491*a**9\/72 - 121*a**5\/12 + a**4\/8 + a**3\/3 + a**2 - 880. Find the third derivative of u(l) wrt l.\nAnswer: -412440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952070 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -7, -60 = -17*u - 2*b. Let v(r) = -r**3 + r**2 - r + 1. Let x(g) = -3*g**3 - g**2 - g - 2. Let k(z) = -4*v(z) + x(z). What is k(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18\/j)**29 assuming j is positive.\nAnswer: j**493","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 64. What is the tens digit of h(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29607, -29459, -29293, -29103, -28883, -28627?\nAnswer: -28329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = -96. Suppose 0*c + k = -4*c. Is -4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**2 + 298*v - 26. What is g(-22)?\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(5*c**2 - 5*c**2 - 2*c**3) + 0*c**3 + 2*c**3 - c**3)*(-3*c - c + 6*c)*(33*c - 11*c + 157*c).\nAnswer: 1790*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 666, -9, 4, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7 and 79\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 9\/2, 4, 1, -3, -2.9 in increasing order.\nAnswer: -3, -2.9, 3\/8, 1, 4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooxu when four letters picked without replacement from {o: 3, n: 4, u: 1, s: 1, x: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12939 - -19870. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -47, -102, -179, -278, -399?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.3, 0.4, -4\/5, -2\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-11)\/(36\/1200*-10))\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a + 25. Calculate d(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 13*r**2 - 14*r. Let l be z(-14). Suppose c + 4 = 5*c + u, 4*c + 2*u = l. Solve c*g = 11*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + a - 5. Let n(w) be the third derivative of w**5\/20 - w**3\/3 - 4*w**2 - 9. Determine 2*b(d) - 5*n(d).\nAnswer: -5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 54683*r**3 + 745*r**2 - 745*r. Let q(c) = -147*c**3 - 2*c**2 + 2*c. What is 2*j(f) + 745*q(f)?\nAnswer: -149*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4)\/(-4) + 4. Let x be (3 - (0 - -4)) + 7. Suppose 3*a + x = -i. What is the second smallest value in a, -2\/9, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/5)*q\/(q**19\/q*q) assuming q is positive.\nAnswer: q**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose u*f + 5*i = 25, -1 = f - 3*i - 2. Solve f*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-2 + sqrt(75) + sqrt(75) + -1 - sqrt(75) - sqrt(75)))**2 + (sqrt(324)\/(sqrt(108) - sqrt(12)))**2.\nAnswer: 30*sqrt(3) + 363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 + 2 - 7*t**2 - 4*t + 10. Let v be m(12). Round v to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzueeplubezpbu. Give prob of picking 1 p, 1 z, and 1 u.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*z**3 - 271881*j - 213358*z wrt z?\nAnswer: -3*j*z**2 - 213358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8628 minus -0.03?\nAnswer: -2.8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -50, 2, 3, -350, -142 in decreasing order.\nAnswer: 3, 2, -3, -50, -142, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8018\/5 + -1604. Let s = 155 + -151. Which is the biggest value? (a) s (b) 2\/85 (c) 2\/15 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 3. Let c(h) = -3*h + 2. Give -7*c(t) - 6*n(t).\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9722647*a*o**2 - 1933*a*o + 1016*a wrt o?\nAnswer: 19445294*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 3 - 3 + 0*r - r - r + 3*r - 3*r + r + (3*r - 3*r - 2*r)*(0 + 1 - 3) - 2*r + 0 + 0 - 6*r + 4*r - 10*r)*(4*r + r + r).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viivvvawiiwwwii. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/7686 and 209\/166530.\nAnswer: 499590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:32 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4896) + -4*(sqrt(4896) - sqrt(4896)*-1) + sqrt(4896) - sqrt(4896))\/((sqrt(4) - (sqrt(4) - sqrt(20)\/sqrt(5)))\/sqrt(2)*-3)*-1.\nAnswer: -28*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and 85\/108108?\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-852 + 44*l**2 + 1745 - 890)*(26 - 26 + 3*l) to the form i + s*l**2 + w*l + u*l**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 1083*d**4 - 6633*d**3 + 9867*d**2 + 15414*d = 0. What is d?\nAnswer: -7, -1, 0, 2, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3.3. Let b = 0.7 + -1. Let u = g + b. Are u and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12541*d + 4796 = -12323*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let q(t) be the first derivative of 2*t**2 + 3*t + 8. Determine 3*h(s) + q(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*i**3 + (1 + 2*i**2 - 1)*(-2*i + 2 - 2) + 9*i**3 + 1 - 8*i**3 + 0 + (-12*i**2 + 12*i - 12*i)*(6*i - 5*i + 2*i) + 3*i**3 - 2*i + 2*i.\nAnswer: -34*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 1. Let x(s) = -5*s**2 - 4. Let n(b) = -4*d(b) - x(b). Let i(l) = l + 5. Let o(h) = -3. Let u(g) = -3*i(g) - 5*o(g). Give n(u(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163743, -163853, -163963, -164073, -164183, -164293?\nAnswer: -164403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10812*v**2 - 115503 wrt v.\nAnswer: 21624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-130))\/4*(-26)\/150?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.6. Let p be (-2)\/(-1)*4\/64. What is the second biggest value in s, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let k(t) = -4 - 4*t**2 + t**2 - 3 + 6*t. Let q = 0 - -6. Let j(s) = q*f(s) + k(s). Differentiate j(r) with respect to r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from czcczcbzcbbbc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, o: 2, l: 2, a: 1, e: 1}. Give prob of sequence almm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (112\/(-24) - -3)*(-3)\/(-4). What is the second biggest value in 1\/6, -0.3, -0.4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-76)\/(-8) + -1 - (-3)\/6 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jjzjjjjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4365 - 8731\/2. Which is the second biggest value? (a) z (b) 0 (c) -7 (d) 14 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 118*o**4 - o**3 + 127*o**4 + 4*o**2 - 363*o**4 + 126*o**4 - 14*o to i*o**2 + h + k*o**4 + u*o + q*o**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from {t: 1, v: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98856245?\nAnswer: 5, 19771249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51183173 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*c - h + 2*h, 3*c - 5*h = 91. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, 1611, 93 in descending order.\nAnswer: 1611, 93, 4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)\/d)\/(d\/(d*d**(-1\/3))) assuming d is positive.\nAnswer: d**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58\/65 + 2021\/65. Let k = s - 30. Let m = -22 + 20. Which is the third biggest value? (a) -2\/7 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 46. Solve -5*r = -4*q - 37, 2*r - q - 8 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 547258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4 - (-5 + 9). Suppose -3 = -k + 6*k - 2*q, 3*k + 2*q = -5. Let x be k + 4*s\/(-22). Is 1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1130286881*u**3 - 1029098581*u**2?\nAnswer: 6781721286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(4 + sqrt(325) + 0 - (3 + (sqrt(325) + (sqrt(325)*2 - sqrt(325)) - sqrt(325))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684409 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 38*m + 3485. Calculate q(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24689*c - 24012*c = 2708 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2118 or -2494?\nAnswer: -2494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147588 and 16.\nAnswer: -2361408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 + -403201?\nAnswer: -403366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = 4. Suppose 0 = -3*s + x + 11. What is the second derivative of -2*a + a - a**s - a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 2. Let q be r(2). Let t be (-2)\/4*q\/(-4). Determine a so that -3\/4*a - t - 3\/4*a**2 - 1\/4*a**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g**3 - 2*g**2 - 16*g**3 + 9*g - 9*g + (-g**2 - g**2 + 3*g**2)*(-2*g + 3 - 3).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -355. Let h be (q + 4)*(-1)\/(-2). Suppose -m + 56 = -h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/20 + i**4\/4 + 5*i**3\/6 + 2*i**2 + 2*i. Let q be r(-4). What is the remainder when 2 is divided by q\/42 + 2\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*j**2\/9 - 324562*j\/9 - 108200\/3.\nAnswer: 2*(j + 1)*(19*j - 162300)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + (-528)\/480 - 453\/(-5). Solve 9*l - 64 + k = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 31. Let q = -8 + h. Let u be (10\/q)\/(16\/(-56)). Solve -2*c + 0*w = -4*w + 14, -u*c + 35 = 4*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(208) + 1 + sqrt(13) + (-2*sqrt(52) - sqrt(13)) + (-1*-3*sqrt(13) - sqrt(52)*-1))*-1)**2.\nAnswer: 50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:32 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*i + 23951 + 36259, 0 = 4*r + i - 60213. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 16 = 5*r, 3*r + 2*j - 10 = 0. Let z = 0 + 7. Find v such that -r*v**2 - 5*v + z*v + 2*v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 32201352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 96*f**3 + f + 4. Let r(c) = -97*c**3 - 2*c - 3. Let d(s) = 5*o(s) + 4*r(s). Find the second derivative of d(h) wrt h.\nAnswer: 552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15834 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 141?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.858 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from uxi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 11*z - 2 = 0. Let r be (-3 - z)\/((-3)\/(-39)). Let u be 21*(4 - r\/7). Calculate the highest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-369)\/135)\/(-41)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5346 * -0.07\nAnswer: -374.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 237*l. Let j(n) be the second derivative of 5*n**3\/6 - 2*n + 35. What is v(j(g))?\nAnswer: 1185*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 455447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14236 - 14215. Solve -2*p - w*q + 24*q = 0, p - 4*q + 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13879?\nAnswer: 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 15) in base 6?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78159 is divided by 140.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57365451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 + -232.99999285. Round h to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 129, 134, 123, 90, 29, -66?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - 0) - (3 + 3 + 19)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505453.\nAnswer: 7, 23, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 572.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2. Let b(q) = -327*q. Determine b(x(w)).\nAnswer: -1962*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x + 7*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 62823095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -5*v - 52 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1008686124 and -5368?\nAnswer: 5367.8991313876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4139 divided by -1\nAnswer: -4139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncencceecc. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -8)*(-3 + 2). Let o(a) = -a**2 + 14*a - 7. Let r be o(b). Let n be (-30)\/(1 - 2) - 2. Calculate the greatest common factor of r and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115813\/12 + -9644. Calculate the common denominator of k and 33\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -21. Let w = -57 + 44.8. Let m = k - w. What is the closest to -1 in 0, m, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76995*x**3 + x**2 - 125773?\nAnswer: -230985*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 12*r = -735. Suppose -r*c = -246*c + 5. Calculate the lowest common multiple of 1 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*u + 19, 0 = -6*u + 3*u + 5*b - 1. Solve -17 = 2*g - u*q, g - 2 = -q - q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1\/3, -32, -5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 23*i - 64. Suppose -5*m - 12 - 1 = -2*n, 0 = 2*n + 5*m - 63. What is the hundreds digit of l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 796 - 1158. Let v(x) = 26*x - 21. Let d be v(-3). Let r = d - t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 14. Let t be u(-9). Suppose 4*h - 8*h + 4*i = -64, t*i - 130 = -5*h. Suppose 0*f + 3*f = h. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93029 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u**2 - 21*u - 23. Let v(s) = -11*s**2 - 10*s - 9. Let w(f) = -3*q(f) + 7*v(f). Let o(c) = -c**2 - c. Determine 4*o(x) - w(x).\nAnswer: x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -151198, -150850, -150500, -150148, -149794?\n\"Answer: f**2 + 345*f - 151544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by 12.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -0.3, 1, -2 in descending order.\nAnswer: 132, 1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiiyiiiyiiiiiyiyii. What is prob of sequence iyi?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/2 - (-10)\/5. Suppose -4*r = -141 - f. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Suppose b*l - 139 = 33. Let m = 55 + l. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*j - 249*j + 17 = h, -h + j = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Suppose k*z = 657 - 142. Suppose -3*y = 5*i - 2*y - z, -2*i = -y - 37. Solve i = x - 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z = -12. Solve r = x - 2, z = -2*r - 0*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 23*a + a**3 - 3 - a**3 + 13 - 8.\nAnswer: 8*a**3 + 23*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.9 - -0.1. Let p(v) = v - 7. Let l be p(10). Suppose -13845*i + 13843*i = -5*j + 15, 0 = 4*i. Which is the nearest to l? (a) s (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2129.8247 + 2128. Let x = z + 1.96. Round x to 3 dps.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 4*f + 45, 4*f + 37 = -7*w - 4*w - 0*f - 45 + 79 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -185*q**3 - 933*q - 5. Let x(u) = 185*u**3 + 936*u + 6. Let n(d) = -6*g(d) - 5*x(d). Find the second derivative of n(m) wrt m.\nAnswer: 1110*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207*24\/(-16)*10\/(-1530)*-34?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - s**2 + 4*s + 5*s - 7 + 3. What is the tens digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 30.5. Let t be 10\/(-12) - (-1221)\/990. What is the nearest to t in 2\/11, i, -28?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-273)\/(-14). Suppose -2*u = 2*u + 4*p - g, 5*u + p = 17. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(77) - sqrt(77))*1)\/(sqrt(264)\/(sqrt(30)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 247\/(-4)) + (-42)\/56.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*l + 275*l + 10 = 4*f, 2*f = l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1640100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i - 12. Calculate r(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1\/181, 0.3, 28, 5, -0.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.8, 4.57, -10.8, -3\/8, -3 in descending order.\nAnswer: 8, 4.57, -3\/8, -0.8, -3, -10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-93)\/124 - 15\/(-4). What is the third smallest value in -2\/5, 1\/6, q, 2\/15, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112004027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1891267437 and 25.\nAnswer: 1891267462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4*j + 5*j)*(2 - 2 - 1) + 3*j + 2*j - j + (-2 + 1 + 2)*(0 + 0 + 2*j) - 92*j + 35*j + 31*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7785 or 1\/9476?\nAnswer: 1\/9476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Suppose 0 = u - 3*i, 2*i = -4*u - c - 13. Let d(b) = 5*b**2 + 2. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + 32. Calculate the remainder when j(-3) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from {l: 6, p: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -12 in ascending order.\nAnswer: -12, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by -2.\nAnswer: 305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f - 90. Determine k(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/20*8724\/(-5089)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 135*x**2 - 3648*x - 2156. Give w(-98).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(6)\/sqrt(2) - 1*sqrt(6)\/sqrt(2)) + -3 - (-1*sqrt(384))\/(1*-2*sqrt(2)).\nAnswer: -4*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 4*p**2 - 32 - 2*p + 30 + (-3*p + p + 4*p)*(-4*p + 0*p + 5*p) to the form z*p + d + l*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056184 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -223*r**2 - 9*r + 1707. Let x(g) = -222*g**2 - 13*g + 1707. Let z(p) = -3*f(p) + 2*x(p). What is the derivative of z(h) wrt h?\nAnswer: 450*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -38. Let q = 0 + -2. Which is the closest to -2? (a) m (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqyqvyqkjlqy. Give prob of picking 1 j and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 159*g**2 - 162*g - 10. What is the tens digit of n(55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Suppose -h*s = -4*s + 2*p - 28, -5*p = -2*s - 43. What is the remainder when 282*(2 - s\/(-6)) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2622 and 370806?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18673*a**3 - 7*a**2 + 773902 wrt a.\nAnswer: 56019*a**2 - 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -6.9?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-2 - (-2418)\/9). Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4855.19 rounded to the nearest ten?\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113844)\/(-1611)*4\/(32\/(-12))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*d + 2*o, 4*d - 13 = 2*d - o. Let x(w) = -d*w - 3*w + 13*w. Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -64935332 and 1?\nAnswer: 64935333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 33*x + 5 = -32*x, 4*b - x = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 47. Suppose 2*x = -2*x + j*z + 8, 4*z - 11 = -x. Suppose 67 = 2*k - 5*h, k + x*h - 1 = -h. Calculate the remainder when 82 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/((-4)\/138). Suppose -6 + y = 5*g. Suppose -3 = a + 2*h, -16*h + 13*h - 3 = a. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*l - 1, 2 = -0*l + 2*l. Let h = 15 - 12. What is the remainder when (-1)\/(-1) + (-21)\/u is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-250)*(4\/20 + 333\/(-540)). Let j(u) be the third derivative of 0 - d*u**5 + 0*u + 15*u**2 + 0*u**3 + 5\/24*u**4. Find c such that j(c) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 2*u + 3*u + 9*u)*(0*u + 0*u + 2*u) to c + t*u**3 + q*u**2 + d*u and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -343750 to the nearest one thousand.\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139805 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 2 - 394*t**4 - 2 + 112*t**4 + 83*t wrt t?\nAnswer: -3384*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(1\/35)*u)*u**15*u assuming u is positive.\nAnswer: u**(559\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 174019752 divided by -189564?\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23304 divided by -2?\nAnswer: -11652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let q be t(4). Let b = q - -11. Find the common denominator of (-261)\/66 - (b + 3) and 31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 + 9*a + 3. Let p be j(9). What is the units digit of (-2)\/(-3)*p - -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let j be n + -830000 + -2 - 1. What is j rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, k: 1, s: 3}. What is prob of picking 2 m and 2 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*i = 2*i - 20, 0 = s + 2*i. Suppose -s*p + 697 = -887. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11*b = 414. What is the remainder when 132 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5268, 4926, 4612, 4332, 4092, 3898, 3756, 3672?\n\"Answer: k**3 + 8*k**2 - 373*k + 5632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 - -232.5. Sort -5\/9, y, 2\/21 in decreasing order.\nAnswer: 2\/21, y, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169637991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + (-81)\/(-18))*64\/3. What is the units digit of -2 + h\/14 - 212880\/(-210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let k(r) = -9*r + 5. Let m(j) = -5*h(j) - k(j). Let g be m(-1). Let o = 28 - g. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*m**2 - 628*c*m - 31303*m**2 - 21*m wrt m?\nAnswer: -2*c - 62606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let l(r) = 456*r**2. Give l(m(w)).\nAnswer: 456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2328.9 and -16141.13098.\nAnswer: -13812.23098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f - 9*f + 8*f)*(-1 + 3 - 5) to the form j*f + d and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 6. Let z be m(-4). Suppose -4*o + 3*y = -6 - 0, -4*o + 4*y + 8 = 0. Let s(v) = o*v - 2 - 2*v + z. What is s(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 5:59 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43*(-9)\/258*4\/(-141)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 15 + 6 - 7*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 957 + -975. Let i be (-4)\/3*1*-3. Do m and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -12. Let j(d) = -4*d - 38. Let m be 105\/(-9) - (-1)\/((-6)\/(-4)). What is the smallest common multiple of j(m) and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*t - 249, t - 2*r = 2*r + 108. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1961970 and 18870?\nAnswer: 72592890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013.42 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122124527 and -0.032002?\nAnswer: 122124527.032002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f. Let i(z) = z - 8. Let b be i(12). Suppose -6 = -5*s + b. Let g(y) = -3 + 3 + 39*y**s - 43*y**2. Determine p(g(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 15. Let z(a) = -1. Suppose -2*t - 25 = 35. Let w(o) = t*z(o) + 2*v(o). Let n(c) = -c. What is w(n(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (405\/18225)\/(1\/(-297))\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -2066, -4647, -8262?\nAnswer: -12911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -266?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5829.069ml to litres.\nAnswer: 5.829069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/9, 0.1 in increasing order.\nAnswer: -2\/9, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 2 (c) -569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665918 to the power of 1\/2, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28\/714 - (-320)\/(-357)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272472 = -2*h - 2*q, -27*h + 29*h - 1272457 = -5*q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 - 9*n + 1. Let l be p(9). Let s be ((-13)\/4)\/((-286)\/33 - -9). Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -3*d - 210. Suppose 0 = d*h + 110 - 167. Let l = 3 + -2. What is the nearest to 0.7 in h, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-7)\/g*g)\/g**22 assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44096 - -44133.091. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/3 - 7\/21. What is the derivative of -i + 26 + 60*y + 7 + 21 wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -19644*n - 4478824. Give j(-228).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 23 - (709 - 708)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-16))\/1 + 114\/4. Let g = 157 + l. What is the highest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 12*p**2 + 12*p - 12. Let q be f(11). Is ((-5802)\/12)\/(q\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:46 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*a + 16 = 2*a, 11 = u + 3*a. Let v(l) = 0*l**3 - l - 3*l**2 + 4*l**2 + l**3. What are the prime factors of v(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + (-2*(sqrt(13) + 1) + 2 - 3*(1 + sqrt(208))))*3)**2.\nAnswer: 252*sqrt(13) + 22941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 1288. Suppose -4*m - 3*p = -136 + 1672, m + 365 = 4*p. Let k = z + m. Round k to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)*((b\/b**5)\/b)\/b*b)**(-26))**(-45) assuming b is positive.\nAnswer: b**(-16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from xrriixrrrrxrx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-1907\nAnswer: -209.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -382*w**2 + 699*w + 53. Let s(a) = 255*a**2 - 465*a - 35. Let i(o) = 5*b(o) + 7*s(o). Suppose i(y) = 0. What is y?\nAnswer: -2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/33 (b) -6\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 23. Let u be (-4)\/(-16) + -2*(-3)\/(-24). Give x(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 639302548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + -1*sqrt(330))\/sqrt(10) + (sqrt(2112)*1 - sqrt(2112)) + sqrt(2112) + sqrt(33))\/(sqrt(176)*-1 + 6*sqrt(44)).\nAnswer: 9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1315609*a**4 - 203023588*a**3 + 8032996374*a**2 - 15462184420*a + 7630896025 = 0.\nAnswer: 1, 87355\/1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.323*0.5724.\nAnswer: 0.1848852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14297358*h - 6659322 wrt h.\nAnswer: -14297358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 greater than 2964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 11782 = -27026. What are the prime factors of x?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = 26*f - 1849. What is the remainder when 225 is divided by f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 84 = 4*l, -3*l - u + 14 = -37. Suppose 0 = -4*v - 2*n + l, 5*v - 20 = -0*n - 2*n. Solve 0 - 1\/2*t + 1\/2*t**v = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from sxss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211750 + 527817. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 - -211. Solve 2*n + 5*a + 23 = -p*a, 2*a + 18 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -43. Let u be x\/8 + 154\/16. Suppose -4*z + 1 = -5*c + 30, -c + 5*z = -u. Solve 0 = 4*b - 2*h, -5*b - 3*h - 1 = -c*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4422, -4427, -4432, -4437?\n\"Answer: -5*i - 4417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 8*a + 3. Let q be s(-4). Solve -z - 5 = -v, z - 2*z = q*v - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/48 and 73\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v + 12 + 7 = 68*v. Let l = 1.7 - -8.3. Which is the fourth smallest value? (a) 4 (b) l (c) v (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, 27, 140, -2\/7, 0 in increasing order.\nAnswer: -25, -2\/7, 0, 1, 27, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2772 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*b**2 + 4554*b - 147 = 0. Calculate b.\nAnswer: -49, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2104 + 4002. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3947214 > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 123553052 (base 6) to base 4\nAnswer: 21100022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2224606, -2224608, -2224610, -2224612, -2224614, -2224616?\nAnswer: -2224618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 11, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**2 - 74071245*t - 184836341 wrt t.\nAnswer: 6*t - 74071245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -84. Let g = 26 + q. Solve 0 = s - j - 5, g*s + 0*s - 4*j - 18 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510 + -5608\/11. What is the second smallest value in -811, y, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 262668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/23? (a) -172\/9 (b) 2 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 731 divided by 17016\nAnswer: 731\/17016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32944 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61079184?\nAnswer: 2, 3, 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069 at most as big as 13072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2368.1 * -3956\nAnswer: 9368203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17962 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47672\/55 + -4297\/5. Which is greater: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.4. Let g = 15.4 - 17. Let k = d - g. What is k rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -858*s**2. Let c(d) = -6*d. Determine p(c(w)).\nAnswer: -30888*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12191947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5149101?\nAnswer: 3, 1716367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u)**(-35)\/((u*u**2)\/u*u)**(-2\/5) assuming u is positive.\nAnswer: u**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 11*f + 4. Let t be 20\/6*21\/(-7). List the prime factors of p(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.3 + -98. Let o = h - 0.3. Let z be 4\/(-6)*3\/(-13). Which is the third smallest value? (a) z (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-18)*(-4)\/5. Let y = -13 - -21. Let x = y - 7.8. What is the third biggest value in 4, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, 2\/16715, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-1))\/(-4)*5)\/((-2)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.44 and -2381?\nAnswer: -5809.64","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 18163 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h + 31267 = 2*o + 71*h, -15637 = -o + h. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -4 + 68 + -71?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 - 1477\/17. Let q = 14966 + -14967. Which is the nearest to -2? (a) j (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -27 + 27 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 50 = -14*h. Suppose v = 3*v - h*v. Solve w + 0 - 1 = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from chhhhhhihchhfcchhchh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*s + 946*s + 94*s + 1 + 1696*s to w + h*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*h - 26905292 = 776*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/(-24)*-1)\/((-15)\/(-2)))\/(-6)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6192 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11468686 is divided by 642?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1576 = 86*j - 9144. What is the highest common factor of 3190 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*x**3 - 165*x**2.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 16109730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -144654*t**3 - 3 + 1 + 43*t**2 + 144666*t**3 - 3*t in the form r + u*t**2 + h*t**3 + p*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28878 and 16.\nAnswer: 231024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 103132.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 9, e: 8}. What is prob of picking 3 s?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 43*c + 30. What is l(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - 5 - (6 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.38 (b) 2\/5 (c) -10.5 (d) -1 (e) 3 (f) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12695281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*i*m*n**2 - 21*a**2*m*n**2 + a*i*m*n + a*i*n + 15*a*m*n**2 + 2*a*n wrt a?\nAnswer: -8*i*m*n**2 - 42*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 + -228. Is -47 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*o - 99. Calculate the remainder when 51 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17632 or 17626?\nAnswer: 17632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 10. Suppose -5*q + 12*q + 112 = 0. List the prime factors of l(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 + 133. Let t = d + 212.9998856. What is t rounded to 6 decimal places?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -29*d + 2126 - 2219, -5 = -d + 4*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7711?\nAnswer: 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/((-2077)\/(-103)) - 54\/128898*-154\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(77)*-2)\/sqrt(7) - (sqrt(99) + 0))*-3 + -5)*5)**2.\nAnswer: -4050*sqrt(11) + 62604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -308, -751, -1340, -2069, -2932, -3923, -5036, -6265?\n\"Answer: z**3 - 79*z**2 - 213*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334932 and 5470104?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 970 and 28518?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = 6*n. Solve 5*o = -0*o - 5*s - 5, 10 = n*o - 4*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 484*d - 483*d + 5*i, -3*i - 6 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -4579\nAnswer: 73264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 + 3885*j**4 - 2*j**3 + 21234*j**2 + 2.\nAnswer: -120*j**2 + 93240*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/18 + 28*w**3\/9 + 9*w**2 + 1497*w. Let h(d) = 0. Calculate d.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 149 = -8*w - 2*t, -5*t + 68 = 2*w. Let p = w - 27. Suppose -p*g - 4 = 0, -k - g + 152 = k. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 295 = 5*g, 5*g + 126 = -3*p + 423. Suppose 5*v - 3*q - 1512 = 0, -13*v - 3*q + 888 = -10*v. Calculate the highest common factor of g and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4\/2 + 238*d**3 + 49059*d**2\/2 - 972972*d - 10573416 = 0.\nAnswer: -252, -9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let r(q) be the first derivative of 1\/3*q**3 + 0*q + 0*q**2 - 12. Determine j(r(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10 - (72\/(-9) + 11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 7935?\nAnswer: 7930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16543 = 1762*g + 61741 + 32722 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47783374 and 2806?\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 50933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = -5*y - 180, 3*u = -2*y - 109. Let g = u - -77. Suppose 0 = -i + g - 1. Calculate the greatest common factor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 - 19\/((-95)\/50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 13) to base 8\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 2. Let z(a) be the third derivative of -a**4\/24 + a**3\/6 + 91*a**2. What is c(v) - 3*z(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548*c*d**2*q + c*d**2 + 101*c*d*q + 17*c*d + c*q + 2*d**2*q - 5*d**2 wrt d.\nAnswer: 1096*c*q + 2*c + 4*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 6463479052753\nAnswer: -6463479052753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -25. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let g(s) be the first derivative of 25*s**2\/2 + 30*s + 85. Let v(h) = 24*h + 25. Let p(z) = -5*g(z) + 6*v(z). Determine p(j(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 655 and -22126?\nAnswer: 22781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 18*c**2 + 20*c - 18. Let j(w) = -86*w + 4111. Let y be j(48). Give x(y).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**6\/6 + 37*k**4\/3 - 17*k**3\/2 + k**2 - 93*k - 2. What is the second derivative of b(s) wrt s?\nAnswer: -60*s**2 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5965626, -8, -2, 1 in decreasing order.\nAnswer: 5965626, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/4 + 327*r**2\/4 - 642*r + 1276 = 0.\nAnswer: 4, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (112 - 25 + 54)*(9*j - 1 - 31*j + 9*j + 2*j) in the form u*j + n and give n.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158268 is divided by 1190?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*d + 392, 0*d - d - 4 = 0. What is the greatest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 7) to base 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 51.58. Let i = j + 0.02. Let y = 0.1 - i. Sort 2, y, 2\/15 in increasing order.\nAnswer: 2\/15, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 44*a**2 - 3*a - 4. Let m be t(-2). Suppose -4*b = -2*j + m, j + b - 95 = -3*b. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47161 + -1113?\nAnswer: 46047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -528 + 249. Let v = i + 279.037. What is v rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41\/2 (b) 0.06 (c) 1\/2 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/4 - 907*q\/2 + 4210640 = 0. Calculate q.\nAnswer: -5110, 3296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 = -t, 5*a - 2 = 4*t + 2*a. Let j(k) = 5*k - 1. Does 3 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21699\/4 - -5399. Let v = n + 25. Let s be 9\/30*5\/(-6). Sort v, 5, s in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*3 + (sqrt(105)*-2)\/sqrt(3))\/(sqrt(448) + 2*sqrt(448) - (sqrt(56)\/sqrt(2) + sqrt(28))\/sqrt(4)).\nAnswer: 31*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 38365 at least as big as 38371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493*g**6 + 2*g**2 - 305?\nAnswer: -59160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2088994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from vpbppppbvpppvplplpl?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-5) - (-1673)\/5. Suppose -6*s + 1480 = w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 604*d**2 - 298*d**2 - 221*d**2 + 10*d + (0 - 1 + 0)*(d - d**2 - d).\nAnswer: 86*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5095486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 783*k**2 + 67680*k + 1935084 = 0. Calculate k.\nAnswer: -94, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from tdt.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b. Let n(w) = -15*w**2 + 11*w. Let d(o) = n(o) + 3*s(o). What is the second derivative of d(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -291, -685, -1257, -2019, -2983?\nAnswer: -4161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 3*s - 4. Let a(v) = -v**2 + v - 1. What is 6*a(c) - h(c)?\nAnswer: -c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*l + 70*l + 55*l + 1352 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 173250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + z**2 - 2*z + 1. Let p(b) = -10*b**3 - 487*b**2 + 251*b + 234. Let w(s) = 6*k(s) + p(s). Factor w(m).\nAnswer: (m - 240)*(m - 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78440601 to the nearest integer?\nAnswer: 8857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697 is divided by 469?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-299)\/39 - (-11 - -2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -22. Suppose -y + k = -3*z - 1, y = 5*z + 3. Calculate the greatest common factor of y and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 7*c + 3 - 17\/3*c**2.\nAnswer: -(c + 3)**2*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose 2*h = -g + 8 - p, 0 = 2*h + 2*g - 4. Solve 14 = -3*a - h*n + n, 0 = -a + 4*n + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 21. What is c(8)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2. Let a(k) = -k**2 - 1. Let i be a(-4). Let q = i - -23. Let z(m) = m - q*m + m. Give s(z(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*f - 5*i - 115869 = -123*f, 6 = -2*i. Is f a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*b - 278*b + 144*b + 18 to t*b + k and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x - 4. Give c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 10 + 10 + (289 - 77*i**4 - 289)*(2*i + 0*i - i).\nAnswer: -78*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from rcvmcvrnvlrr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 85 from -3534069854.\nAnswer: -3534069939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68461374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooozktzkhkookzkkko. Give prob of picking 2 o and 1 h.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 19 = -n. Is 47 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 1, d: 2, q: 1, a: 1, v: 1}. Give prob of sequence dvd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 - 4*t**3 - 1028*t. Let p(l) = -2*l. Calculate p(o(u)).\nAnswer: 2*u**2 + 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 450, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 68*h + 39. Let v be c(-13). Let p(o) be the second derivative of -o**2 + 1\/20*o**5 - 2\/3*o**3 - 4*o + v - 1\/4*o**4. Determine p(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 + 6 = 0. Let j(g) = -g**3 + 3. Let k(h) = -h**3 + 2*h - 2. Let l(y) = -2*y**3 + 3*y - 2. Let n(z) = 6*k(z) - 4*l(z). Determine a*n(s) - 4*j(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -9 - 8 - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/515308451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 15*p**2 - 177*p - 1350. Give y(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*n + c, 3*c + 26 = 14. Solve -o = n - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -11 + (0 - -6) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 25911785?\nAnswer: -3\/25911785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 29490478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-330993)*41*-13.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 806159 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -16.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (0 + 3 + (-6*3*(sqrt(1053) + 2*sqrt(1053)))**2)*-1.\nAnswer: -3070548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*274.\nAnswer: -16166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1128 + -5169. Is (8\/(-10) - -1) + d\/(-15) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327292187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 24. Let r be (-370)\/555*2\/(-22). What is the smallest value in 2\/9, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 + 23*j**2 + 2*j - 1. Let i be c(-5). Suppose 13 - 1 = r + 5*l, 0 = 4*r + 4*l - i. Calculate the remainder when 118 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 m, and 1 v when four letters picked without replacement from sssssvysssysmvvjsjv?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -2\/281, -31, -1\/5, 0 in descending order.\nAnswer: 5\/4, 0, -2\/281, -1\/5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1)*s))**32*s**(-6)\/s*s*s**6)**(-3\/23) assuming s is positive.\nAnswer: s**(-96\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*h**4 - 2285*h**3 - 4315*h**2 - 2115*h = 0. Calculate h.\nAnswer: -423\/17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 h when four letters picked without replacement from {h: 4, f: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z**(1\/3)*z))\/z)*z*z\/(z\/z**(-13)))\/(z**10\/z**(-2\/3)) assuming z is positive.\nAnswer: z**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6))**(3\/4) assuming d is positive.\nAnswer: d**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -3*z + 24 + u = -2*p, -3*z = -5*p - 38. Suppose 2*i + 9 = 3*o + 3*i, 0 = -2*o - 5*i + z. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.16. Let q(j) = j**3 - 78*j**2 - 876*j - 348. Let z be q(88). What is the third smallest value in z, -0.4, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + v + 2747 - 827 = 0, 0 = -5*r + 4*v + 1905. Is 77 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100130802*z + 188242485 wrt z?\nAnswer: -100130802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2057) + (2*(sqrt(2057) - (sqrt(2057) + -2) - sqrt(2057)))**2 - (sqrt(2057)*-1)**2*2).\nAnswer: -165*sqrt(17) + 4133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 105, 2, -114, -13 in descending order.\nAnswer: 105, 2, 1, -13, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*-2*sqrt(243) - (4*-4*(sqrt(243) + -1*sqrt(243) - sqrt(243)))**2.\nAnswer: -62212 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.769 + 1.069. Which is the nearest to 0.05? (a) x (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 + 2*s**2)*(-2 + 1 + 0)*(-2*s + 0*s + 3*s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6046047 divided by 141\nAnswer: 2015349\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -125. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 10152?\nAnswer: 10151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28817 = -1012*p + 7615 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4864 and -7941421.732.\nAnswer: -7946285.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -964 less than or equal to -966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)\/p*p*p\/(p**(1\/4)\/p)*p*p*p**1*p*p\/((p*p**(-4))\/p)*p*p)\/((p**5\/p)\/p**1*((p**(2\/7)\/p)\/p*p)**(-4\/5)) assuming p is positive.\nAnswer: p**(257\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5477 + 4506 + 681 + 1485 + 516)*(3*b + 6*b - 5*b)*(4 - 4 - 2*b).\nAnswer: -101320*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722388372 is divided by 6427?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/26, -65\/187, -4\/7?\nAnswer: -65\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4952105773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 - 7*w**2 + 1390*w + 2800 = 0. What is w?\nAnswer: -40, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.7. Let h = 0 - m. Let r = 0.3 - 0.4. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c - 4. Let n(k) = 5*k + 2. Determine -13*n(w) - 6*t(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26077209, 104308838, 234694887, 417235356, 651930245?\nAnswer: 938779554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14798 divided by -6\nAnswer: 7399\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418 (base 9) to base 15.\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2 + 6*m + 4. Let a(u) = -3 + 0 + 3 + 29*u**2 - 31*u**2. Give n(a(f)).\nAnswer: -60*f**4 - 12*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 167549, -13, 2 in ascending order.\nAnswer: -13, 2, 167549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(-4 + 18). Let l = a + 9. Suppose 46 = -y + l*y. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16834, -14997, -13160?\nAnswer: -11323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 4:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 707*j + 768*j - 28*j - 204*j + 533*j as u + g*j and give g.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896, 944, 1016, 1106, 1208, 1316, 1424, 1526?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3667 - 0.4667. Let z = 0.04 + 0.56. What is the closest to y in -1, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 313*r - 16501. Determine p(-199).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -v + 5*m - 15, 0 = 5*v + 4*m - 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 3, -3, -11?\n\"Answer: -i**2 - i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6 = -291*u + 289*u, 5*u - 3*a = 54 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -6*s**5\/11 - 3818*s**4\/11 - 106*s**3 + 67258*s**2\/11 - 100428*s\/11 + 38160\/11 = 0.\nAnswer: -636, -5, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -448, 3 in descending order.\nAnswer: 3, -2, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyk when three letters picked without replacement from {f: 2, c: 2, y: 4, k: 3, g: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*t**2 - 62*t**3 + 407*t**2 - 264*t**2.\nAnswer: -62*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:54 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 97. Let h = 8 - 4. What is the highest common divisor of a and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -11\/5*t**4 - 82 + 0*t - t**2 - 968\/5*t**3 - 1\/100*t**5. Factor x(n).\nAnswer: -3*(n + 44)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a**3 + a**2 - 2*a + 1. Let i be (-5)\/(-3) + -9*(-42)\/(-567). Calculate x(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -29*t**4\/6 + 61*t**3\/2 - 97*t**2. Differentiate m(n) with respect to n.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 66 = -2*x + 2*s, 3*x + 2*s = 38. Suppose 3*h - 19 = 5*m, 5*h - 3*m = 7 + x. Does 14 divide h*51\/(-6)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.499998 - -8.5. Round j to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose c + 18 = f*c. Suppose 3*k + 9 = c*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from uuqqtuuqqq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n + 1\/60*n**5 + 1\/6*n**4 - 2\/3*n**3 + 3*n**2 + 0. Determine u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/(o*o*o**(-27))))\/o))\/(o**(-30\/11)*o*o*o) assuming o is positive.\nAnswer: o**(294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -669, -3357, -8015, -14643, -23241, -33809?\n\"Answer: -985*b**2 + 267*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**5 + 3056*q**4 - 530476*q**3 - 21273424*q**2 + 199213328*q - 177412480 = 0.\nAnswer: -40, 1, 7, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:54 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*u + 7*u + 2, -4*b + u + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*x + 7*x. Suppose -t - 12 = -x*t. Let k = 50 + -36. Calculate the smallest common multiple of k and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)*l)**(3\/2)*l**(-7\/2)\/l**(-4\/3) assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7878 divided by 39?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i. Let q(z) = -46*z. Calculate -2*q(w) + 11*y(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459850 is divided by 57426?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q. Let u(o) be the second derivative of -37*o**4\/12 + 57*o + 5. Calculate u(w(r)).\nAnswer: -1813*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(66))\/(sqrt(24) + 1*sqrt(24)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95959482?\nAnswer: 2, 3, 71, 225257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1416438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 28. What is the derivative of 31 - f*r**2 + 2 - 14 wrt r?\nAnswer: -44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7845505?\nAnswer: 5, 1569101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/199676 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 118748*m - 118746.\nAnswer: -2*(m + 1)*(m + 59373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - w + 3*w + 2 + w - 5*w + 2*w + 2*w + 0*w + 0*w + (2*w - 2 + 2)*(-3 - 2 + 6).\nAnswer: 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 - 10110?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/5 (b) 3\/5 (c) -4 (d) -0.35 (e) 9\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63223 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**2 + 1597*o - 1597*o + 23 - 23.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -206, -241, -300, -389?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 72. Let s = k - 27. Which is the third biggest value? (a) s (b) -2 (c) -6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**2 - 9*m - 9. Let r be k(-6). Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*z - 2\/3*z**2 + 2\/3 + 2\/3*z**3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -2*l**4\/3 - 37*l**2. Let f(g) = 3*g**2. Give d(f(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15854309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.85 times -0.5\nAnswer: 1.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6210293, 6210292, 6210291, 6210290?\nAnswer: 6210289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.93966 millilitres in litres?\nAnswer: 0.06993966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101130 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**4 - 2*x**3 + 13*x**2 - 2. Let n(t) = -4*t**4 - 7*t**3 + 40*t**2 - 7. Let a(g) = 7*l(g) - 2*n(g). What is the third derivative of a(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -142*l + 77 - 77 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, 2\/31, -0.002, 2\/7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (124\/5)\/((608\/95)\/16). Solve -35 = o*w - 69*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5453 + 0.9453. Which is the biggest value? (a) 0.3 (b) z (c) 3\/5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1849\/41087 or -1?\nAnswer: 1849\/41087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1 (c) 5\/3 (d) 1 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(-1) - (-263172)\/9100. Let x be (-15)\/18 + (-1)\/(-2). Which is the second smallest value? (a) -0.4 (b) x (c) 4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 u when four letters picked without replacement from uobuuvvooubbov?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -15, -3, -1\/3, -1\/2, 22\/9.\nAnswer: -15, -3, -1\/2, -1\/3, 0.1, 22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36042 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.7. Suppose 2*o + 1 = -1. Let y be (2\/4)\/o*-6. What is the smallest value in f, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3.7, -20182, 1, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t - 12. Calculate the common denominator of -79\/10 and ((-8)\/(-336))\/(t\/(-260)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*m**2*o**3 + 3569497*m**2*o*q**2 + 2*m*o**3*q**2 + m*o*q - 2*o**3 - 20500*q wrt q.\nAnswer: 7138994*m**2*o + 4*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.09 + 0.09. Let a = -19 - w. Let r = 0.44 - 0.04. Put a, 2\/7, r in descending order.\nAnswer: r, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 + 0*q + 0*q)*(5*q**2 - 4*q**2 - 7 + 15) to i + n*q**3 + c*q**2 + h*q**4 + k*q and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7995238t?\nAnswer: 799523.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29 + 21 + 136 + 2691*n - 582 - 457 wrt n?\nAnswer: 2691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 11:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 357*o + 37. Calculate b(-1).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26*u - 2. Let l be i(2). Let d = l + 59. Suppose 3 = d*b - 7. Solve 20 = 3*r - b*j - 5, -r + 5*j = -30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000000100110 (base 2) to base 13\nAnswer: b285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 15, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 11 = 2*z, 12 = 20*z - 16*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2573183, -2\/49 in descending order.\nAnswer: 1\/2573183, -2\/49, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 346110651 < 346110648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w**2 + w + 34*w**2 - 111*w**3 - 76*w**2.\nAnswer: -111*w**3 - 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362213 to the power of 1\/2, to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -154367325 divided by -5\nAnswer: 30873465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.2 rounded to the nearest integer?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(5\/3 - 4\/6). Suppose -2*o + 3*m = m + 2, q = 4*o + 2*m. Suppose -5*w = 2*y - 143, 2*y = -o*y + 2*w + 122. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287102.\nAnswer: 2, 143551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 161530*t. Let a(x) = 6*x. Give b(a(k)).\nAnswer: 969180*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10712 and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 6. Let y(f) be the third derivative of 0 + 1\/24*f**4 + 3*f + 43*f**2 + 0*f**3. Calculate u(v) - 5*y(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -784 + 550. Let m = 126 + y. Let a = m + 112. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h + 18 = -4*q, 12 = -3*q. What is y in 3\/2*y**h + 0*y - 6 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*f**4 + 273*f**3 + 267*f**2 - 273*f + 3 = 0. Calculate f.\nAnswer: -1, 1\/90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-313 - -319) + 16 + 0 - 5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (0 + -4 - -5). Put 8, -5, g in ascending order.\nAnswer: -5, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -211, -432, -653, -874, -1095?\n\"Answer: -221*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16*s. Let y(u) be the third derivative of 0*u**3 - 2*u**2 + 0*u**4 + 0*u + 0 - 1\/30*u**5. Calculate b(y(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/4)\/5)\/(26\/(-26))*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 2\/(6\/(-9)). What is the second derivative of -47*t + 39*t - 13*t**3 + v*t**3 wrt t?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18036661 is divided by 327.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -0.19414, -2, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 8. Suppose -4*y + 36 = -u*y. What is the lowest common multiple of 14 and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 248 = 0. Suppose q = 3*w + 5*x, 3*w + 2 = 4*w - 3*x. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.0762?\nAnswer: -0.0762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27510041479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 7\/2, 2, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -15, -8*p + 11*p - 4 = -y + 11 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 55*d**2 + 832*d + 2028 = 0. Calculate d.\nAnswer: -26, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6226 and 1487.7.\nAnswer: 1487.0774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:16 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41)\/19 - (-123)\/779. Sort -84, 2\/17, 0.3, n, -0.3 in descending order.\nAnswer: 0.3, 2\/17, -0.3, n, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0, -75, -5 in decreasing order.\nAnswer: 1, 0, -3, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**8\/1680 - j**5\/60 + j**3 - 2. Let s(a) be the third derivative of t(a). What is the second derivative of s(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6398.457 minutes?\nAnswer: 106.64095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6066256 rounded to the nearest 1000?\nAnswer: -6066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-40))\/((-3)\/8). Let g = 2.6 - 0.4. Let y = g + -2. Which is the second smallest value? (a) u (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1807940 to the nearest ten thousand.\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -413531340 (base 6) in base 13?\nAnswer: -16459cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 3*c. Let f be w(-3). Suppose -12 = -2*a - f*a. Solve -3*s + 0 = -a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d - d)*(-1 + 1 - 4)*(-2 + 3 - 2)*(-12 + 26 + 4) in the form g*d + s and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 69*h**2 + 19*h - 32. Calculate z(-4).\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (122*o - 127*o - 264*o)*(-o - 3*o + 2*o) in the form h*o + t + k*o**2 and give k.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -3*t. Let g = -595158 - -181522961\/305. Let l = g - 3\/61. Sort -0.4, l, t in increasing order.\nAnswer: l, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 9. Suppose q*l = 9*l. Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {k: 2, q: 2, u: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 97279666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2393, -2414, -2449, -2498?\nAnswer: -2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-27)*(25 + -28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*x + 2698 + 287 = -784*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 298.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -3729?\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*b + 68, -5*b + 4*d = 199 - 335. Let r(o) = -o**2 + 24*o - 2. Determine r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -6.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -118445*v - 1421336. Determine f(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -390, -447, -528, -639, -786, -975?\n\"Answer: -u**3 - 6*u**2 - 32*u - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 3*l - 4. Let o(m) = -8*m**2 + 4*m + 10. Let v(c) = -c**2 + 1. Let f = 15 + -20. Let h(r) = f*v(r) + o(r). Calculate 4*h(p) + 5*n(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 97*f**3 - 6*f**2 + 6*f. Let t(q) = -98*q**3 + 7*q**2 - 7*q. Give -7*d(n) - 6*t(n).\nAnswer: -91*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*r + a**2 - 21*a*r - 23529*a + 4698*r - 181 wrt a.\nAnswer: 4*a*r + 2*a - 21*r - 23529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*i + 161227 = 142957 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3383 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 9*y**2 - 3*y - 6. Let n be k(10). Let d = n - 51. Suppose 0 = -3*t + 15, t = a - 4*t + d. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -11011120112210002?\nAnswer: 11011120112210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.2. Let z = 178 - 178. What is the closest to z in 2, 6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2\/(-18))\/((-11)\/165))\/((-30)\/(-342)). Solve b = -q - 5, -2*b + 9 - z = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/32)\/((-2)\/(-6)). Let d(w) = 77*w**2 - 3*w + 7. Let o(g) = 77*g**2 - 2*g + 5. Let i(p) = t*o(p) + 2*d(p). Differentiate i(r) wrt r.\nAnswer: -154*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, t: 2, l: 1}. What is prob of sequence tol?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.665 + -4.665. Which is the nearest to 0.2? (a) u (b) -2\/9 (c) 4\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -8)*(-8)\/(-28). Let z be (8\/(-16))\/(n\/(-12)). Solve -r = z - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4094)\/78 + (-22)\/(-143). Let a = m - -53. What is the second biggest value in 1, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*40\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/3)\/(4\/(-6)). Suppose 0 = n + 5. What is the units digit of (l\/n)\/((-2)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 9*z**3.\nAnswer: -3*z**3*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/40 + 5*s**3\/2 - 23*s**2. Let c(t) be the first derivative of n(t). Let f(k) = -9*k**2. Calculate c(f(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*c**3*q*t + c**3*q - 14*c**3*t**3 + 3*c*q*t**2 - 2*q*t**3 + 3*t**3 wrt t?\nAnswer: -84*c**3 - 12*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**3 - 4*r + 4*r + 64*r**3 + 0*r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/8)\/(4\/103802). Let b = 6496 - k. Find the common denominator of -23\/12 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-203)\/261)\/((-2)\/(-3))*6\/(-56)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 23. Let z(n) = n + 242. Determine z(a(l)).\nAnswer: 3*l**2 + 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1029 + -716. List the prime factors of t.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -27. Suppose -s - a + 6*a - 27 = x, 0 = 5*s + 2*a + 27. Are -7 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71575657071 + 71577528785.99958. Let m = x + -1871752. Let c = -37 - m. What is c rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 43*q = -9. Solve -3*x + 20 = 2*p + 7, 0 = -q*x - 3*p + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 739.8785 - -0.1215. Let j = m + -736.37. Let s = j + -0.63. Which is the second smallest value? (a) 2\/15 (b) s (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 3860*x**2 + 1307*x + 25742. Give f(-1287).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 - 12*y - 8. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266\/1962413 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -130. Suppose -5*f + j = -19. Suppose 69*y = 1342 + 521. Calculate the lowest common multiple of y and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 479.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from pplppppmpppppp.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 10073418*p + 8456145850227.\nAnswer: 3*(p - 1678903)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 936 and 26000.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9723251 is divided by 173?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 21 = 3*l. Is -4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**3 - 2*o**3)*(5*o - 3*o - 3*o) + 2*o**5 + 0*o**5 - o**5 + 92*o - 106*o + 14*o + 6412*o**5.\nAnswer: 6414*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 2, s: 1, i: 6, d: 2, q: 8}. What is prob of sequence sud?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {b: 8, p: 2, z: 4, f: 1, h: 1, y: 4}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 1458088?\nAnswer: -1458080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 18\/5526815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 379 - 314 + w**2 - 84*w + 695 in the form z*w + c + y*w**2 + n*w**3 and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89239755.8 rounded to the nearest ten thousand?\nAnswer: 89240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90163, -193352, -296541, -399730?\n\"Answer: -103189*t + 13026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2156956 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n**2 - 1677*n + 3408. What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 506012 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/343 (c) -1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -124, 3, -3041 in increasing order.\nAnswer: -3041, -124, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from hbhhfbxfhhxfhvx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(2 - -1) + 5. Let s(b) = 3 + 6*b**u - b - 2 + b**2 - 5*b**3. Let c(q) = -3*q**3 - 4*q**2 + 4*q - 4. What is -3*c(r) - 12*s(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37357 - -65019. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 187893265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294311279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033014 (base 6) to base 13.\nAnswer: 35707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5271774382621 + 21*d**2 + 5271774382621.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13471 - -13475. Let d = 4 + -2. What is the biggest value in -0.4, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 + 3*y**3 - 37*y**2\/2 - 12*y + 59. Let f be h(-12). Solve 0 = -3*o + 3*g + 3, f = -0*o + 5*o + 4*g - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uynunyuvnuvuynn. Give prob of picking 1 y and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 8. Let j be o(8). Suppose j = 2*g + 8, 3*g + 19 = -4*k + 7. Let b be 2 + 2*(k + 1). Solve 0 = -s - 2*s + v - 13, -3*v + 24 = -b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*j = -0 - 22, -2*h + 2*j = -38. Solve -13*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1191322 divided by 1191322\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 2\/15, 5, 79, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 66. Let t = -12 + a. Suppose -t = -5*u + l, u + 3*u = -l + 24. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 35660?\nAnswer: 3530340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-3 + (-630)\/12). Let c = d - -52. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8513574*y**2 + 8513574*y**2 + y - y - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((42\/(-10))\/7)\/((-1222)\/(-65)*3\/(-2)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 160574.\nAnswer: 160579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (60\/(-25))\/((7\/20)\/(-7)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9834518 to the power of 1\/2, to the nearest integer?\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9629*x**5 - 6504*x**2.\nAnswer: 577740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7829715\/481 - -16278. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 132*v**2 - 7*v + 18. Let n be l(2). Suppose 2*t + 0*t - 4*f - 1054 = 0, -t = -f - n. What are the prime factors of t?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4829 in 0.06, 1\/5, 6364\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 h when three letters picked without replacement from hxrrjrh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -3, -2.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*-3*(-2)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -2. Let c be 2\/12 - (-13)\/w. Let h = c + 5. Solve h*o + 5 = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -473103510 from -2753.07.\nAnswer: 473100756.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 181? (a) 1.739 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**22\/l*l\/l**48*l assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, 5, 4 in descending order.\nAnswer: 25, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -117509, -236642, -355779, -474920, -594065?\n\"Answer: -2*b**2 - 119127*b + 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-m**5 - 4*m**5 + 4*m**5) + m**5 - m**3 + m**3 + (-371*m**3 + 57*m**3 - 144*m**3)*(3*m + m**2 - 3*m + (6*m - m - 4*m)*(-2*m + m + 2*m)).\nAnswer: -917*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 - 3*v**2 + 8*v + 2. Calculate the remainder when 59 is divided by z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)*1\/1. Let j be u\/(-1)*(-3)\/(-6). Suppose -r + 6 = -j. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 0 + sqrt(242) + sqrt(2) + -5)**2 + 5.\nAnswer: -230*sqrt(2) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/245*-7)\/(((-16)\/(-35))\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4898689 and 1591?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*t + 28, 0 = -518*d + 517*d + 3*t + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbnnrybpnbbf. What is prob of sequence fn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.24949 minutes in weeks?\nAnswer: 0.0365326875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (67 + -142 + 70).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g - 17. Let q be s(-3). Suppose q*l = p + 120, -p - 150 = -5*l - 5*p. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 + 310. Let w be (0 - -1)*17\/10. Is w at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-7))\/8*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 2. Suppose -2*a = 1 + 9. Let o be w(a). Is 32\/o*(-42)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g - 7. Let r be j(0). Let z(c) = c + 15. Let s be z(r). What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(102)\/sqrt(6)*-4 + sqrt(153)\/sqrt(81))*-1*3)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.139, 8, -2\/7 in decreasing order.\nAnswer: 8, -2\/7, -1.139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -0.05, -0.02, 3, 1, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/((-3)\/(-9)). Let o be 1*-78*-1*v. Let d = -38 - o. Solve -3*k + 4*f = 12 - d, -2*k = -2*f - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*c - 35, -4*p + 3*c + 68 = -38. Let v be 20\/25*p\/2. Suppose 4*a - 28 = -2*q, 5*q - 58 = a - v. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -2906, 23, 4 in increasing order.\nAnswer: -2906, 4, 23, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12658623.8431579 - -5.\nAnswer: -12658618.8431579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i. Let f(p) = -1491*p - 7. Let g(r) = 498*r + 2. Let k(t) = 4*f(t) + 13*g(t). Calculate k(x(c)).\nAnswer: 2040*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -118. Let w be 12\/(-7)*((-81)\/18 - 6). Let x be 4 - 74\/w - (-1652)\/(-36). Does x = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 22 - 128*l**2 + 96 - 22 - 26.\nAnswer: -128*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1. Let o(q) = -5. Let c(r) = o(r) + 4*w(r). Let p(y) = -2*y - 6. Calculate -4*c(n) + p(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 3*v**2 - 2*v - 3. Let o be b(0). Let t(a) = 6*a**2 - 3*a + 12. What is the remainder when t(o) is divided by 65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 18*c + 17*c - 871498. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47546?\nAnswer: 2, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.84 - -8. Let x = 0.36 - h. Let j = -10 + 6. Sort j, 1\/6, x.\nAnswer: j, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 428? (a) -0.1 (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -3*d - 16, 2*y - 7 = d. Suppose 15 = -y*k + 8*k. Calculate the remainder when (34\/(-2))\/(7\/(-7)) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7511 + 60109\/8. Which is the nearest to -1? (a) x (b) -3 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/14 - 2*r**3\/7 - 40*r**2\/7 + 36. What is a in j(a) = 0?\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/380)\/((-48)\/4608*60).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 divided by 5.\nAnswer: 402\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9970*h - 241 + 241 + 2*h**3.\nAnswer: 2*h**3 - 9970*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17416 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 25\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.14, -2\/181, 326?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7708 = 4*j, -14*c + 10*c = 5*j - 7735. What are the prime factors of c?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 77*t - 1563. Give g(25).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 31 = -5*r - 10, 3*r - 15 = 0. Is 122*-2*(9\/(-4) - d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124820*n - 499260*n + 124812*n + 124816*n + 124814*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let g = x - 0. Which is the closest to g? (a) 4 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 96 = 2*k. Let u = k + -15. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**2 - i + 1. Let f be p(1). Let w be f\/(-3)*3\/2. Find the third derivative of 2*t**w + 4*t**2 - 2*t**2 - 4*t**2 - t**2 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*u + 4*v - 0*v, 3*u + 2*v = 35. Suppose -4*g - 1 = -u. Suppose 9800 = -3*p + g*p. Round p to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = 0, 0 = 2*l - 27*b + 29*b - 88268. What is the ten thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g\/((g\/g**(-3\/7))\/g*g)))*g*g**(1\/13))\/(g**2\/(g\/(g\/((g\/g**(-1\/7))\/g)*g*g))))**(1\/5) assuming g is positive.\nAnswer: g**(-201\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3779, 3538, 3311, 3104, 2923?\n\"Answer: k**3 + k**2 - 251*k + 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2 + -1)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9804)\/(-14733) - (-6)\/(-9). Let d = 34381\/3274 + c. Calculate the common denominator of 105\/(-196) - (-2)\/7 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*1*3\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 + 635.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 11. Let j = s - 1. What is the tens digit of 96\/18*(-9)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*q - 24*q + 396 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3531621 and -2.9?\nAnswer: 3531623.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 e when three letters picked without replacement from {i: 4, n: 3, q: 1, u: 2, e: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (2 + -5) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 1 - 17) + (-3 - 0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944)*-1*-1)\/((sqrt(66)\/(sqrt(2) + sqrt(18)))\/(sqrt(99)*1)).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2936020 rounded to the nearest 10000?\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 435 + -5f3?\nAnswer: -1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 844872 at most as big as 17742320\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**(3\/11)\/s))\/s)\/s*s)**(3\/5) assuming s is positive.\nAnswer: s**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 5*a - 10. Let s be n(4). Let z = 86 - 14. Suppose 0 = z*d - s*d + 260. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 7*h + 17. Let r be n(-3). Let q = 6 - 6.1. What is the closest to q in -1, 3\/4, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24321781 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 72.4 (c) -2\/9 (d) 45078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -18*w + 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + -5 + sqrt(200)*-1)**2 + -2.\nAnswer: 80*sqrt(2) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 2*y**7\/7 + 317*y**6\/6 + 4730*y**3\/3 - 4329. Find the third derivative of o(r) wrt r.\nAnswer: 240*r**3 + 19020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13999717477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l**(4\/7)\/l*(l\/(l*(l*l**0*l)\/l))**(-2\/29))**46)**(-32) assuming l is positive.\nAnswer: l**(256864\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a. Let z(p) = 5*p**2 + 8*p + 8. Let q(c) = -3*c**2 - 5*c - 5. Let f(b) = -8*q(b) - 5*z(b). Determine t(f(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, d: 2, b: 1}. What is prob of sequence fb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3493 + -4039.02. Let b = x + 546. What is the nearest to 1 in b, -3, -5, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1496 + -980. Suppose 0 = -5*y + r + 44. Calculate the greatest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 86. Let w = 51 - d. Solve 5 = -2*o - q, -o - 8*q + 3*q = -w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 0*s**3 - s**3 - 2*s + 2*s**3 + 2*s + 0*s**3 + 3*s**3 - s**3 + (3*s**2 - 2*s**2 + 0*s**2)*(3 + s - 3) - 1623*s**2 + 81*s**3 + 1623*s**2.\nAnswer: 84*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/7))**(2\/37)*(l**(-2))**(-1\/3) assuming l is positive.\nAnswer: l**(554\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 = 8, 0 = -3*p - 5*s + 2330. Let f(v) = p*v - 2*v**2 - 780*v. Let z(y) = 28*y**2. Determine z(f(j)).\nAnswer: 112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + -1 + -10 + (1 - 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*v = 9, -3*u + 10 + 5 = 3*v. Let s(p) = -2*p**2 - 5*p + 4. Let a(z) = -9*z - 6*z**2 + 5*z - 10*z + 11. What is u*a(y) - 8*s(y)?\nAnswer: -2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - 0. Let o = 6 + m. Let a be 3\/(o\/(-11)) - 2. Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*d*x**2 - d*x + 64*d + 87287*x**2 + 580*x + 3 wrt x.\nAnswer: -58*d + 174574","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.3931 + -0.3931. Are g and 0.08 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/220 + 16\/(-88))*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064*c - 1040*c = 240. Solve x - 46*m = -47*m + 7, 0 = -5*m + c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 20*c**2 + 111*c + 1119. Determine a(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 - 91. Suppose -m + 5*m = 2*k + 148, 3*m + 3*k = g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.59 * 90382.\nAnswer: -414853.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/3 + 14*v**3\/3 + 11*v**2\/3 - 266*v\/3 + 80 = 0 for v.\nAnswer: -10, -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032109109295 - -0.3?\nAnswer: 0.3032109109295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2264*n + 7 - 2 + 0 - 4 - 451*n.\nAnswer: -2715*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w. Suppose w = -5*j - 4 + 9. What is the greatest common factor of 4 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -80, 334, 5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = -2*a, -5*k + k = 3*a - 4. Let w be 1\/a + (-4)\/(-16). Solve 4*c = -2*z + 20 - 4, z - 5*c + 6 = w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.71642482824 and -107?\nAnswer: 106.28357517176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 52*b - 5*b + 16*b - 21*b - 40*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-210)\/252).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + g + 4, 16 = 5*l - 2*g + g. What is the second derivative of -6*k**2 - 6*k**2 + 12*k**2 + 2*k + l*k**3 wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + (35 - 39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 13 = -3*p, i - 13 = 8*p - 12*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10330100 + 46?\nAnswer: 10330146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6367 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from kwkwwwkfppwkwtp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40028 + 57007. List the prime factors of g.\nAnswer: 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*m + 386*m + 2586 = -6764 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {g: 6, z: 1, y: 1, e: 4, j: 6}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.120693ml in litres?\nAnswer: 0.004120693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.99 + -15.99. Let q = 1\/10 - 3\/5. What is the nearest to 1 in q, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61 and 8174.\nAnswer: 8174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15500 and 1500?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.3. Let k = 35.911 - -0.089. Let d = k - 37. Which is the nearest to d? (a) 1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2 + 6*m - 5. Let k be h(1). What is the common denominator of 6*(-8)\/k - -27 and 38\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**3 - 14*r**2 - 6*r. Let w(g) = -4*g**3 + 5*g**2 + 2*g. What is 6*k(t) + 17*w(t)?\nAnswer: 4*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.2052 days to hours.\nAnswer: 23476.9248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 8*x**2 - 3*x - 12. Let d = 17 + -8. Calculate the remainder when l(6) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-80))\/((-1)\/(-4)). Let u = -0.3 - 0.7. Suppose 30*o - 13*o - 11*o + 24 = 0. What is the closest to u in h, o, 5\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1195, -4, -85?\nAnswer: 1195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 16, 11, 6, 1, -4?\n\"Answer: -5*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1220*w + 232 + 4695*w - 232 as r + s*w and give s.\nAnswer: 3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 2*q**3 + q**2 + (q**2 + 2*q**2 - 4*q**2)*(0 + 0 + 2*q) - 3*q**3 + 2*q**3 + 0*q**3 + (-4*q**2 + q**2 + 2*q**2)*(2*q - 1 + 1).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/33 and 1\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 57 (c) -1 (d) 0.08 (e) -4\/17 (f) -3\/5 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 25. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 8\/55 in descending order.\nAnswer: 8\/55, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1124 - 1115. Solve s = -27*k + 24*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1765231123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6378 in -0.41, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, -6 in ascending order.\nAnswer: -24, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44975130 divided by -2.\nAnswer: -22487565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 2*d - 2. Let k be g(-1). Solve -q + 5*q - 4*a = 0, 3*q = -k*a - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:06 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 8 + -1 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k + 35. Let c be z(8). Let f = 148 + -314. Let h = -71 - f. What is the greatest common factor of c and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**(-9)\/w*w)\/w*w)\/w))\/w**(2\/3) assuming w is positive.\nAnswer: w**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose -m + 1 - 4 = c, 2*q = -2*m - 18. What is the units digit of ((-24)\/9)\/(2\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639174727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2359 = -o. Let z = o + 3546. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -655, -961, -1571, -2569, -4039, -6065, -8731, -12121?\n\"Answer: -14*l**3 - 68*l**2 - 4*l - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20531125883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/(sqrt(55)\/sqrt(5)) + 2*2*sqrt(38))\/(-5*sqrt(12)\/sqrt(6) - -4*sqrt(8)\/sqrt(4)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*u - 35 = 0, -b + 4*u + 2 - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 6*r - 2*r + (-2*r + 2 - 2)*(3 - 2 + 1) - 4*r - 3*r + 2*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t**2. Calculate the smallest common multiple of 30 and l(1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -2c69b?\nAnswer: 2c697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y + 25 = 3*v, -3*v - 5*y = -55. Suppose 2 = 3*b - v. Let f = 16 - 12. Solve -16 = f*u, b*d + u + 16 = -0*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -7, -3, 195 in ascending order.\nAnswer: -9, -7, -3, 3, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89745 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**2\/2 - 7*b + 10. Determine a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g - 3. Let j(b) = 12 + 10 - 27 + 4. Give 5*j(d) - l(d).\nAnswer: d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + (-7 - -13) + (-8 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(144))**2 - 1*-2*sqrt(2) - -2*sqrt(56)\/sqrt(7))*1.\nAnswer: 1\/8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -27*m. Suppose 28*z - 324*z - 76*z = -10416. Let y(t) be the second derivative of 0 + 1\/12*t**4 + 0*t**2 + 0*t**3 + z*t. Give i(y(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*l + 6*n + 408, 400 = -4*l + 2*n. Let q = l + 71. Is -61\/2 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*k, 0*k = k - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 585 = 12*g. Let u = g + 250. What is the remainder when u is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (-245 - -24) + 93.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 15) to base 8\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + (205 + -95 - 97).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/22)\/(-2) - 295\/11. Let u be (-99)\/j + 6\/(-9). Let k be u - (0 - (-2)\/(-1)). Solve 5*o = -k*d - 10, 3*d + 8 + 1 = -4*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424394251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*1\/(-2) - (-11)\/22. Let n(m) = 2*m**2 + 3*m + 3. Let o be n(-2). Solve -g*s + o = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13233 (base 9) to base 13.\nAnswer: -40b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + sqrt(18)\/sqrt(9).\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b + 6. Let h be a(4). Suppose -352*x + 351*x - 35 = -3*n, -2*n = 3*x + 28. What is the nearest to 0 in x, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*x + 966 - 919, 3*a = x + 31 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 53048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 4092381600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/4 + o**3 - 22*o**2. What are the prime factors of p(-16)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (41 + 3)*9\/4. Suppose 19 = -8*s + m. Suppose s*t = 5*t + 145. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/28)\/(7\/(-49)). Factor 8*a**c + 26*a - 29*a**2 - 4 + 28*a**3 - 27*a**2 - 10*a**3.\nAnswer: 2*(a - 2)*(3*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-7) + 0\/1. Suppose 5 = -3*b - 3*d - 1, -2*d - 14 = -l*b. Is 448 + 6 - (b - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4.8. Let r = -0.2 - u. Let y = r - 1.6. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -259, 0.5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 31*o + 80. Let p be t(29). Suppose 2*v + 186 = 44. Let d = v + p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1596 + 979 = s - 4*j, -3*j - 2578 = -s. What are the prime factors of s?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 69*q + 83. Calculate n(31).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/12)\/(5\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - w)*(598*w**2 + 350*w**2 - 1313*w**2).\nAnswer: -1095*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 2, r: 8, p: 9}. What is prob of sequence rz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39\/(-26)*(-23)\/(-3)*-10 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**5\/y*(y\/(y**1\/y))**46*(y**(-5\/3)*y**6)**(-2\/3) assuming y is positive.\nAnswer: y**(451\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 34. What is the smallest common multiple of (216\/45)\/(q\/(-5)) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 + 24319560*t + 36965062412100 = 0.\nAnswer: -3039945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-3080)\/880*56\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 139, 513, 1245, 2455?\nAnswer: 4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 4*k. Let r = 3178 - 3171. Determine t(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9404857.17 to the nearest one thousand.\nAnswer: 9405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 552 + 2034\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 238*t - 236*t - 72. Suppose 3*y + z - t = 6*z, 5*z = 2*y - 29. Solve 4*f = -2*r - 20, -3*f - 10 = 2*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t - 27 + 27 + (t - 3 + 3)*(-2 + 0 + 1))*(-t**2 + t**2 - 2*t**2).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -4*l + y, -y = -l. Let r be -1 + (-1)\/(-3) - 0. What is the nearest to r in l, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119453963?\nAnswer: 11, 4759, 40487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b - 510*b - 1287 = 5577 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-9)*(1 + (-2 - 2)). Let k(v) = c + 3*v**2 - 1 + 2 - v**3 - 7*v**2 - 11*v**2 - 13*v. What is k(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3 = -32. Suppose 3*b + 2*q - 52 = -0*b, 84 = v*b + 2*q. Differentiate -26*u - 6*u**2 + b + 26*u with respect to u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 8959735*s**2 + 4013838083640*s - 4013847043380.\nAnswer: 5*(s - 1)*(s + 895974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23610*k*r**3 - 2*k*r + 25346*k - 24*r - 53 with respect to r.\nAnswer: 70830*k*r**2 - 2*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + 1 - (16 - (10 + 9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/540 - 2*b**5\/45 + 11*b**4\/108 - 28*b**2 + b - 118. Let g(z) be the second derivative of v(z). Factor g(a).\nAnswer: 2*a*(a - 11)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by 1468\nAnswer: -131\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -18*z**2 - 25*z**2 + 48*z**2 + z**3 + 2. Let m be x(-5). Let r be 56\/9 + (-6)\/27. Put m, r, -5 in descending order.\nAnswer: r, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3 - 31484*j**2 - 1549968*j - 18627840 = 0?\nAnswer: -28, -21, 7920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1540 (base 8) to base 11.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 29 = -51*k + 46*k, o - 18*k + 92 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*k + u, -4*k + 297*u = k + 301*u - 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 - 0 - (-867)\/9. Let n = q + 120. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 397*a - 3568. Determine f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43719 + 43718.9940363. What is u rounded to 5 decimal places?\nAnswer: -0.00596","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 39458.\nAnswer: -3945.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1056248 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 - 76. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/7)\/y**(-1\/4)*(y*y**(-2\/11))**(-48) assuming y is positive.\nAnswer: y**(-12371\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1221354 at most as big as -1221296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 + 413. What is the lowest common multiple of 144 and j?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/(-105) - (1 + -3 + 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348897\/22 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f - 11. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 7*v - 309. Let t = -25 - -22. Let a be (4 - 1) + t + 5. Calculate the greatest common divisor of v and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*a - 45720, -a = 4*f - 5263 - 40459. List the prime factors of f.\nAnswer: 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 28.8?\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15*9\/2*(-1210)\/(-330).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 707 and 18988.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5925760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, 0, 27 in decreasing order.\nAnswer: 27, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -951 times 0.3\nAnswer: -285.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**15))*d*(d**13\/d)\/d)\/(d**(3\/35)*d**23))**7 assuming d is positive.\nAnswer: d**(172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847 (base 9) in base 10?\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -18. Let t be (-6)\/6*(d + 0). Let o = 2 + t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 + 6*u - 12. Let o = 1 - -2. Suppose 5*p + 39 = o*d, -2*p - 2*d = p + 31. What are the prime factors of r(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479155438 to the nearest integer?\nAnswer: 21890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4917.394 + 4871.4. Round i to 1 dp.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 - 81*u - 78 = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 9. Let g(n) = 8*n - 64. Let l(k) = -3*g(k) - 20*m(k). Let h be l(-14). Suppose 12 = 2*u - 22. Calculate the greatest common divisor of h and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 42 = 2*m, 22*s + m - 24 + 24 = -65 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828499693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 - 10*d - 2. Determine g(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -417*y**5\/5 + 13705*y**3\/3 - 13383. Find the third derivative of r(x) wrt x.\nAnswer: -10008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -878, -1754, -2630, -3506, -4382?\nAnswer: -5258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 17. Let j be a(4). Suppose -j*i + m + 14 = 0, -20 = -3*i - i + 3*m. Suppose 6 + 0 = -i*l. Does 0.2 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -28. Suppose 2*q + 5*m - 8*m = 484, -3*m = 0. Calculate the greatest common factor of o and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 15 - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 68 = m. Solve -h + 19 = 4*h - 3*p, -m*p - 20 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2739, -1, 0.5, 2\/5 in decreasing order.\nAnswer: 2739, 3, 0.5, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3536945954 to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18296, 18225, 18138, 18029, 17892?\n\"Answer: -n**3 - 2*n**2 - 58*n + 18357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -65, -3, 1.029, -0.4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -34295.46 to the nearest one hundred.\nAnswer: -34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101222 + 1?\nAnswer: 102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f + 7. Let r(s) = 4*s + 3. Let o(i) = i - 1. Suppose 4*l = 4*d - 0*d + 32, 0 = 3*d + 4*l + 3. Let w be o(d). Determine w*x(z) + 14*r(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*r + 2*o, -r - o + 4*o = 6. Let p(i) = i - 2. Let v be p(4). Suppose n - v*n + 30 = r. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -137\/7, -3, -1, -164, -0.3, 0.1?\nAnswer: -137\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01987 + -23988520125.\nAnswer: -23988520125.01987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + (-8)\/14. What is the second smallest value in v, -3\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let k(a) = 6*a + 5. Suppose -5*h + 4*x - 50 = 0, -x = -2*h + 17 - 34. What is h*z(c) + k(c)?\nAnswer: 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/360 - s**3 + 3*s**2. Let b(d) be the first derivative of p(d). Let l(u) = -6*u**2. Calculate b(l(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Suppose c = i - 1. Is (c\/10)\/(7\/455) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 2, g: 3, v: 1, d: 6, a: 7}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3 + 4*k**2 + 3. Let x(u) = 29*u**3 - 15*u**2 - 11. Determine -22*f(p) - 6*x(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64634119.\nAnswer: 11, 17, 345637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 64. Give p(-23).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*m + 2*n + 2, 0 = 4*m - 3*n - 24. Let s be m\/(-2)*(-13 + 7). Solve 0 = h + 4*k + s, k + 0*k + 1 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 488*o**2 - 175*o + 85399. What is b(488)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*p + 2*a**3 - 1189795*a*p + 2143981*a + 2*p with respect to p.\nAnswer: 2*a**3 - 1189795*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 342, 652, 962, 1272, 1582, 1892?\n\"Answer: 310*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28602 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: Suppose 2308*j - 157757 = 2289*j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1012 and -3.\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 266, 183, 90, -19, -150?\n\"Answer: -p**3 + p**2 - 79*p + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -2\/23, -9 in increasing order.\nAnswer: -9, -2\/23, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -846 + 846.4. What is the nearest to 1\/2 in a, -9, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j + 4. Let a be t(3). Let b be a\/12 - 20\/6. Put 4, -1, b in descending order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -353 + 356. Suppose 5*c**2 - 4*c**k - c**4 + 7805*c - 7805*c = 0. Calculate c.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*9 - 2)\/((-125)\/(7750\/124)) - 45.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.131780942 to four dps.\nAnswer: -2.1318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 51. Suppose 13*n = q*n + 138. What is the remainder when n is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -19*w**2 + 5*w - 5. Let h(c) = 285*c**2 - 76*c + 76. Determine 5*h(m) + 76*x(m).\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -59*n. Let m(f) = -3*f**2 + f. Calculate m(p(h)).\nAnswer: -10443*h**2 - 59*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - 4*l + 52, -2*f = -l - 110. Let h be 1\/(-4) - f\/(-60). Let z = -29554\/5 + 5910. What is the second smallest value in 2, 0, z, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 616417 to the nearest 10000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/1197 and 1\/513?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/5, -11, -1\/4, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 822780 divided by -45\nAnswer: -18284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 20. Let v be (6\/5)\/((-2)\/s). Solve -3*r = v, 0 = 2*y + 2*y - 3*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21175*t. Let a(b) = -1332*b**2. Determine a(p(g)).\nAnswer: -597242992500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(396) + 0 - 2*(1 + sqrt(396))) + (sqrt(396) + -2*sqrt(396) + -2)*4 + -3)**2.\nAnswer: 900*sqrt(11) + 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125157 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29586, -59174, -88762, -118350?\n\"Answer: -29588*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176550582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(17) - sqrt(17)*-1) + -4 + 1)**2.\nAnswer: -231 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 13*h**2 + 13*h - 12. Let u be z(12). Suppose -7\/3*j**4 - 4\/3*j**2 + u - 16\/3*j**3 + 0*j = 0. Calculate j.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 2 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 2*m + 1. Let a(g) = 3*g**2 - 7*g - 3. Calculate 4*a(x) + 3*c(x).\nAnswer: 6*x**2 - 22*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*m - 153*m + 1606 = -122*m - 81*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 3\/11, -1\/5, 0.03, -33 in decreasing order.\nAnswer: 7, 2, 3\/11, 0.03, -1\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11503992 to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -883381 plus 170?\nAnswer: -883211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y = 0. Suppose 3*w - 2*b = -y*b + 70, 4*w - 90 = b. Is (21\/14)\/(1\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*j - 7. Suppose j*b + 4*i = 148, b + 3*i = -b + 70. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381 is divided by 72?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9443374l?\nAnswer: 944.3374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10439, -9481, -7877, -5621, -2707, 871, 5119?\nAnswer: 10043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3652640, -7305303, -10957966, -14610629, -18263292?\n\"Answer: -3652663*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 758196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3279\/567 - 6) + (-96)\/(-1296)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 34*p**3\/3 + 7*p**2\/2 + 6*p. Is l(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h + 12. Calculate the remainder when o(6) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3)*(3 - 4 + 0)*((2 - 2 + 1)*(0*c + 2*c + 0*c) + 3 - 3 - c)*(5 + 3 - 4).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2800875 by -7469.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17816.4567 minutes?\nAnswer: 1.767505625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 20129355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5239 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-1248)\/(-30))\/16)\/(4\/(-5*4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.59508 millennia to years.\nAnswer: 21595.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1501 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12650\/14 - 81\/(-189)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1438*j**3 - 142 + 44 + 45 + 54 + 2*j**2 to m*j**3 + r + u*j**2 + p*j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(((-4536)\/(-96))\/63)\/(315\/6).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2904 - -2?\nAnswer: -2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10046.8 to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j - 14 = 0. Let f(v) = -v**3 - 5*v**2 + 4*v - 3. Let g(i) = i**3 + 5*i**2 - 3*i + 3. Let o(n) = j*g(n) + 6*f(n). Is 12 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3\/2*z**2 + 0*z**3 - 3 + 0*z - 1\/5*z**5 + 0*z**4. Find the second derivative of x(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(117)\/sqrt(81)*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*d = -2*p - 4, -4*d + 16 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from rrbbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -24. Let z be 1 + 26 - v\/9. Solve -4*o - 4*m - 13 = m, o - 5*m = z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+4259\nAnswer: 4259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 + -0.22. Sort q, -3\/7, -3 in decreasing order.\nAnswer: -3\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d - 11*d - 11*d + 23*d + 321 + 14*d.\nAnswer: -5*d + 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131021 (base 4) to base 15.\nAnswer: -1b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r - 35. Let j(s) = 3*s**2 + 16*s - 5. What is the units digit of j(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 4\/5 (c) -13.5089 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*4\/(-8). Let j(h) = -h**2 + 11*h + 22. Let q be j(11). Let m be q\/(-10) + -1 - -1. Which is the second smallest value? (a) m (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 + 2103*m + 318 - 1213 + 319 + 260.\nAnswer: 2103*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 + 3*u**2 + (15*u - 58*u - u)*(2*u - 1 + 1).\nAnswer: -85*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(-1)*(-72)\/162.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by ((-48)\/14)\/(12 - 684\/56).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.7753105ms to weeks.\nAnswer: 0.00000010379515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/295500 and 35\/7092.\nAnswer: 886500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**(2\/73))**(5\/3)*(i*i*i**(-2\/7)*i**(-3))**30 assuming i is positive.\nAnswer: i**(-59165\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136189360.4444603 - 136189348. Let c = -12.37747 + s. Let m = c + -0.067. What is m rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23030 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:04 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 - -0.03. Let g = 0.41 + f. Let q = 7.56 + -3.56. Which is the closest to -1? (a) g (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 10. Let m(w) = -2*w**2 + 1. Determine i(v) - 2*m(v).\nAnswer: 4*v**2 + v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 < -20078356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 756 = 28*o. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**36\/a)\/a)**38\/(a*a**(-1\/5))**48 assuming a is positive.\nAnswer: a**(6268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {z: 1, n: 2, q: 7, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 < -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.181929 kilograms?\nAnswer: 181929000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 9518952.\nAnswer: 9518951.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*l - 29*l - 15*l)*(0 - 2 + 0) + 3*l + 0 + 0 to the form f + c*l and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299823.\nAnswer: 3, 139, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/2689 - -158563\/59158. Let q = 10\/173 + 13\/2768. What is the common denominator of q and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(110)\/(sqrt(810)*-1)*-1.\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g**3 - 21*g**3 + 2*g**2 - 2*g**2.\nAnswer: -50*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 5, 6?\n\"Answer: c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402404?\nAnswer: 2, 29, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776268940 rounded to the nearest 100000?\nAnswer: 1776300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2. Let g(f) = 72*f - 1. Let n(k) = g(k) - 5*t(k). Let m(o) = o**3 - 4*o**2 + 4*o - 4. Let b be m(4). Is n(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -h*a - 14 = -4*l, -4*l + 4 = -3*a - 2*l. Find y, given that -2\/13 - 2\/13*y**a - 4\/13*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*q - 32*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 468.4502 nanograms?\nAnswer: 0.0004684502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 714 + -67aa70?\nAnswer: -67a357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**8\/84 - 7*u**6\/30 - u**5\/60 - u**3\/2 + u**2 + 100*u. What is the third derivative of r(a) wrt a?\nAnswer: -240*a**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75962 divided by 1\nAnswer: 75962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 142, 109, 74, 37, -2, -43?\n\"Answer: -y**2 - 30*y + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 42. Let r = -542\/5 + 108. What is the closest to r in f, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11919, 23844, 35769, 47694?\n\"Answer: 11925*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-50))\/(3\/(-15))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q + 31. Let k be t(6). Which is the nearest to k? (a) 1\/7 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 19\/2*k**4 - 35*k**3 - 44*k**2 + 0*k + 0 + 1\/2*k**5 = 0.\nAnswer: -22, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4416 divided by -6.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 6*q + 11. Suppose -12*i + 10*i = 16. List the prime factors of z(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 357165619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.06\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 13*q - 30. Let i be w(5). What is the highest common factor of 180 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8795 divided by -30628\nAnswer: -8795\/30628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 2*b - 7. Let c(n) = 2*n**2 + 2*n**2 - 2*n**2 + 8 + 3*n. Let g = 272960 + -272958. Give g*c(q) + 3*u(q).\nAnswer: q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 47. Let q = h - -61.000146. What is q rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -0.4, -78, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-10))\/((-35)\/(-21))*8\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-375)\/150)\/((-35)\/12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 1}. What is prob of picking 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 15*f - 5. Let y be q(-9). Suppose -11*t - 12 = -15*t. Let n = t + 4. Calculate the greatest common factor of n and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**4 + 6*p**3 - 6*p**2 - 6*p. Let y(n) = -11*n**4 - 5*n**3 + 5*n**2 + 5*n + 1. Let h(r) = -5*x(r) - 6*y(r). Differentiate h(b) wrt b.\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 16.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n**2 - 20*n + 51. Let b(j) = -2*j**2. Let t(y) = 6*b(y) - m(y). Solve t(g) = 0 for g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**21)\/(n*n\/(n\/(n*n\/(n\/(n\/(n\/(n**(10\/3)\/n))))))))**(-3\/2) assuming n is positive.\nAnswer: n**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 1. Let r(c) = -20*c**2 - 10*c - 12. Let d(a) = 8*a**2 + 4*a + 5. Calculate i*d(y) - 5*r(y).\nAnswer: 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j**3 + 17*j**2 + 26*j - 14. Let u(b) = 7*b**3 - 6*b**2 - 9*b + 5. Give 17*u(p) + 6*y(p).\nAnswer: -7*p**3 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-36)*(-9)\/((-108)\/16)*290\/20.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-4*1)\/(sqrt(3)*-6*-1).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + a**2 - 4*a**2)*((2064 + 5173 + 8688 + 16750)*(-2 + 2 + 2*a) + 0*a + a - 2*a) as j*a**3 + s + c*a**2 + o*a and give j.\nAnswer: -130698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*z - 62, -4*c - 7*z + 4*z = -123. Let s be ((-8)\/5)\/(c\/(-225)). Suppose 3*t + s = 51. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 14125.7142 microseconds?\nAnswer: 0.0000001634920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -39*q + 1. Let r be f(-1). Differentiate -4*d - 3*d + 41 - r with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 109 = 4*g, 4*n - 6 - 18 = -g. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29959*f**2 - f. Let b(v) = 18*v - 27. Calculate b(q(o)).\nAnswer: 539262*o**2 - 18*o - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 35 - 10*u + 6*u + 32*u - 10*u - 20*u. Let r(t) = -t**2 - 9*t - 2. Let x be r(-6). What is n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/17)\/(l\/l**(-7)) assuming l is positive.\nAnswer: l**(-135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*w - 17 = 0, 4*q = 2*w + 19 + 3. Suppose -c - 5 = 0, 15 = -3*s + q*s - c. Solve 0 = s*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 + 82976*q\/3 - 860627072\/3 = 0. Calculate q.\nAnswer: 20744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 58, 3, -8, 4, -5 in descending order.\nAnswer: 58, 4, 3, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 11685 and 11685 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(8)\/sqrt(4))**2*3 - (-2 + (sqrt(4)\/sqrt(2))**2 + (sqrt(16)*-1)\/sqrt(8)).\nAnswer: sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + -11d269?\nAnswer: -11d29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 968469 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*1059\/3*-2. Let x = -687 - i. Calculate the remainder when 265 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2\/15, 0.5, 11.2.\nAnswer: 2\/15, 0.5, 11.2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137.27 - 4.73. Let q = -141 - s. What is the nearest to 0.1 in 0.4, -0.5, q, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6740380 and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(21\/15)*2\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let d = -28 - -40. Let z be 8\/(-6)*d\/(-4). Let h(l) = 3*l - 6*l + z*l. Determine h(n(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 2\/5 (c) -1\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:31 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13287 + 9505*w**2 - 30821*w**2 - 13287 in the form u*w**2 + v*w + a and give u.\nAnswer: -21316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 106*u**2 - 206*u - 10. Calculate r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*a + 4, a = -4*z + 2 - 10. Find the common denominator of -61\/8 and 1\/z*(-400)\/116.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:42 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13188\/315)\/157*1\/((-20)\/(-6)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 177335.5138017?\nAnswer: -177335.5838017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2. Let t be (2 - 0)\/(2\/(-3)). Let u be t\/(-5) - 135\/(-25). Let q(g) = -5*g + u - 12 + 6. Give q(h(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, 2, 12, 28?\n\"Answer: 3*r**2 - 5*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -24*o + 109. Let k(h) = -11*h + 54. Let w(u) = 7*k(u) - 3*v(u). Let p be w(8). What is the highest common factor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. What is the second derivative of 5*z + 0*z - 3*z - 2*z**w + 3*z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.006 and -12.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (922 - 924) + (-1 - 25)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.9888 rounded to one dp?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-3\/2)))\/((y\/y**(-1\/6))\/y*y))**33 assuming y is positive.\nAnswer: y**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1)\/(17 + -37 + 25).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3 + 9. What is the tens digit of q*163*(-8)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 74836*s**2 - 37422*s**2 - 37412*s**2. Let y(i) = 12*i + 23. What is y(j(c))?\nAnswer: 24*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 144*m**2 + 7080*m + 87025 = 0. Calculate m.\nAnswer: -295\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - b - 48, -2 - 36 = -4*n + b. Calculate the smallest common multiple of 2 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-25) + 46\/10. Solve 0 = 2*j + 2*w - w - 2, -5*j + 4*w = -l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5850 = 118*d + 85*d - 73*d. What is the lowest common multiple of d and 435?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556696.2 days in nanoseconds?\nAnswer: 48098551680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 - (-67 - (-16)\/(-4))?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481543 is divided by 2575?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 = 12*h - 17*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56 - -4 - 2*-1. Let g = t + -44. Suppose 0 = l - 3*l + g. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 + 19 = -2*q. Suppose -j = -109 - q. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 - 4*s + 2. Let a be b(3). Let x be (-10 - 0)\/(1\/(-1)). Let t = x - a. Which is bigger: 3\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/7 + 878*r**4 + 1848860*r**3\/7 = 0.\nAnswer: -2735, -338, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46.28257 tonnes?\nAnswer: 46282570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -32*c - 155. Let u be l(-5). Suppose -6*k - 3*g = -2*k - 97, 5*g = u*k - 130. Solve -5*v = i - 2*i - 27, 5*i + k = 3*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/((-912)\/80)*(-72)\/(-5). Let t be (-2)\/(-4)*120\/1. Calculate the greatest common factor of l and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/114 - 784*j**3\/57 + 153664*j**2\/19 + 2414*j. Factor m(n).\nAnswer: 2*(n - 392)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5340 divided by -1\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 340 = -4*o + 8*p, 4*o + 376 = -4*p. Let q = 59 + o. Let w = q + 123\/4. Which is the third smallest value? (a) 2\/27 (b) w (c) 4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 369, 8, 54, 0 in decreasing order.\nAnswer: 369, 54, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15967907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -309799.183 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-4)*43604\/(-33694)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1011000?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzv when three letters picked without replacement from zlv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j - 3*m, -4*j - m + 4*m - 9 = 0. Let i be 2*j\/(-15)*-5. Let h(y) = -y**3 - y**2. Calculate the smallest common multiple of h(i) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36))\/(140\/(-14280))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (6 - 1 - (-30 + 8 + 30)) + -25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956 and 726799.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - 21\/12. Let y be ((-3 - -1) + 4)*s. Let z be (y\/6)\/(12\/18). Which is smaller: z or -1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6957 and 68709?\nAnswer: 159336171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -249*p**2 + 6067385*p - 48734 = 0.\nAnswer: 2\/249, 24367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-70)*4*(-231)\/12\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (sqrt(363)*1 + sqrt(363))*1)**2.\nAnswer: 44*sqrt(3) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 42 + 0*z - 42*z**3 - 5*z - z**2 + 45*z**3 - 37. Give r(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 319, 301, 261, 193, 91, -51, -239, -479?\n\"Answer: -t**3 - 5*t**2 + 4*t + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 7*i - 17. Let o be w(-6). Let p = -38 - o. What is the smallest common multiple of p and 11 + 2\/(-1) + 1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*k - 4706 = 100*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 - 11*y + 11. Calculate k(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 2 + 4 + 2*a**2 - 3 in the form v*a**2 + n + h*a and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 124384 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003447 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 4 + 6*b - 2 + (-6 + 1 + 2)*(2*b + 2 - 2) to the form o + j*b and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40931 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b*b**(-8)))\/b)\/(b**(1\/3)*b))\/(b\/((b*b**(-1)*b)\/b))**(25\/4))**(3\/17) assuming b is positive.\nAnswer: b**(-19\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**6\/120 + p**5\/10 - p**3\/3 - 3*p**2\/2 + 1. Let y(i) be the second derivative of k(i). Let f be y(-6). Are -3\/4 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnnxwnkxwtnnnxxnx. Give prob of picking 3 n.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252 - 223 - 291 + 91*n**2 + 19 - 13*n - 15 wrt n?\nAnswer: 182*n - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose -8 = -2*z - x*r, 0*z - 2 = -2*z + 2*r. Suppose z*f + a - 10 = 0, 3*a = 3*f - 0*f - 6. Let q(k) = k**2 - 2*k - 2. Calculate q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - 27. Let i = 32 - m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257212.6*-5\nAnswer: 1286063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*n = 26, 4*f - 4*n - 17 - 11 = 0. Let q(h) = 12*h + 3 - 15*h + 4*h**3 + 0. List the prime factors of q(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfh when four letters picked without replacement from fhfnhwhhhhhhyhhfn.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367.061 * -0.03183.\nAnswer: 11.68355163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2201111200010 (base 3) to base 11\nAnswer: 8a9026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*k**2 + 96 - 132\/5*k.\nAnswer: 3*(k - 40)*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 23.8. Which is the closest to -2\/7? (a) -2\/3 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1778 + 0?\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21055891\/1703 - 12364. Let d = -66425\/13624 - h. Find the common denominator of d and 7 + 1422\/(-189) + 0 + -1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148947 is divided by 411.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000108432479 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 199852.\nAnswer: -1\/99926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*a + 12 = -4*c, -12 = 4*c + 2*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03176824 to four dps.\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 33*g = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -63. Suppose 9 = 6*w - 117. What is the remainder when w is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -384 - 744. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - 174\/(-24))*2*2. Calculate the common denominator of 87\/68 and ((-19)\/3 - a)\/(150\/(-125)).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -0.51. Let n = -0.04 + 0.12. Let t = n + r. Are 2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**3 - 6*s**2 + 5*s - 1. Let k(j) = -6*j**3 + 6*j**2 - 4*j + 1. Calculate -3*k(t) - 2*r(t).\nAnswer: 4*t**3 - 6*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 46*b**2 - 34*b + 510. Give n(-44).\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhlhlhh. Give prob of sequence hhl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxyyoduozddouo. What is prob of sequence ozy?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5974*-0.07831.\nAnswer: 467.82394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17466 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d**0\/d)\/d*d)**7*(d*d**(-1\/4)*d)\/d**(-1)*((d**(-1))**(-21))**(7\/6) assuming d is positive.\nAnswer: d**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 29687 - 8711. Let n = 1051 + x. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7433*s**2 + 11*s + 212350521 wrt s.\nAnswer: 14866*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 24 = -3*q. Let u = q + 13. What is the greatest common factor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 321651 and 2007882.\nAnswer: 66260106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -5. Suppose 7*w + 67 = 18. Let f = w - a. Solve -r - 1 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -37. Put 0.3, z, 2 in decreasing order.\nAnswer: 2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1882\/838553 or 1?\nAnswer: -1882\/838553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -61, -43, -1, 71?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 90 = -28*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o - 17*o + o)*(2 - o**2 - 2) + (-3 + 3*o**2 + 1 - 1)*(-4*o - o + 3*o) + (0*o - 4*o + 3*o)*(0*o**2 + 4*o**2 - 2*o**2).\nAnswer: 18*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (204\/510)\/((-2)\/10*2). Let d = -0.496 - -0.596. What is the second smallest value in 13, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a - 2763 + 4731 + 7052 = 0 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 5*j**2 - 4*j - 10. Let z(w) = -2*w**3 - 9*w**2 + 9*w + 21. Let i(u) = -7*o(u) - 3*z(u). What is i(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -909, -1359, -1809, -2259, -2709?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*j = j - 33, -l + 33 = 5*j. Let p = 38 - l. Suppose -4*o + 143 = -2*h + h, 0 = -h + p. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-635)\/12*(-228)\/(-380))\/(3\/12)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090 divided by 90?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1453*u - 710*u - 709*u = -1292 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**3*f*p + 11*d**3*p - 4*d*f*p**2 - 106*f - 581*p**2 wrt f.\nAnswer: -14*d**3*p - 4*d*p**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 5072982171.\nAnswer: -5072982171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61, 76, 103, 142?\n\"Answer: 6*j**2 - 3*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 35 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -283\/4. Find the common denominator of h and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 3*j**2 + 5*j**2)*(-10 + 2 + 20 + (2 + 0 - 3)*(4 - 2 - 4)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 3 (b) -3 (c) 5\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.02791 rounded to 3 decimal places?\nAnswer: -11.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 290740711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -0*u - 294. Suppose c + u = 72. Let t(o) = -o + 12. What is the remainder when c is divided by t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30789.\nAnswer: 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/5)\/p))**(-4))**45 assuming p is positive.\nAnswer: p**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 9*h**5\/20 - 25*h**4\/12 - h**3 - 9107*h. Factor a(f).\nAnswer: f*(f - 3)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65151\/117 - -2*5\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/14)\/(-2)*-21. List the prime factors of g\/12 - (-54)\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/18181 or 0?\nAnswer: -1\/18181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 7. Suppose -2*d - 7 = -c, -5*d - 9 = -d - 3*c. Let l be i(d). What is the third smallest value in 2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d + 2. Let r(h) = -2*h**2 + 7*h - 4. Let y be r(3). Calculate the smallest common multiple of a(-6) and 56\/364 - (y - (-76)\/(-13)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4109 + -4103. Let g(x) be the third derivative of 1\/120*x**m - 21*x**2 + 1\/15*x**5 + 0 - 1\/6*x**4 + 0*x - 5\/6*x**3. Give g(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246769323629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 8*h\/3 + 8\/3.\nAnswer: 2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -484.4? (a) -2 (b) 0.5 (c) 3 (d) -3\/2 (e) 0 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from yeeaeyaeeuvefeyyaya.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16)*5*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242.91165 - -0.08835. Which is greater: -1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6)*(0 + 8). Let a be (-42 - -45) + (-1)\/(-1) + 4. Let k be a\/((-1 - -1)\/n - -2). Solve 4*x + 7 = q + 1, 0 = 5*q - k*x + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose 4*o - 3*t + 6 = o, 10 = o - n*t. Let f(p) = -p**2 - 7*p - 7. What is f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 44*d**2 - 40*d.\nAnswer: -4*d*(d - 10)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 14 = 3*l, l + 3*i - 60 + 74 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 66*g + 3. Let w be j(0). Let x(u) be the first derivative of 8 - 1\/8*u**2 + 1\/12*u**w + 0*u. Factor x(d).\nAnswer: d*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**3 + 2*i**2 + 30*i - 93. Give s(3).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3550930092 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*o - 4*o, -5*q = -5*o. Let r(y) = -y + 8. What is r(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -441.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86685668.\nAnswer: 2, 21671417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1053)*-1*-3 + sqrt(1053) - sqrt(1053)) + sqrt(1053) + sqrt(1053) + -3 + sqrt(1053) + 1 + -4 + 2*-1*sqrt(1053)))**2.\nAnswer: -432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.8, 1268\/11, 0.3, 2\/21, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.881 - -0.2\nAnswer: 2.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y. Give s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128.8 - 143. Let v = -11.2 - r. Which is the nearest to 4? (a) 0.4 (b) v (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.15 + 0.555?\nAnswer: -56.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 3*i**2 + 5*i + 54. What is the tens digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 115 + 124 = 0, 4*d - 633 = 5*m. Calculate the lowest common multiple of d and 24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 5*d**2 + 4 - 4 - 5*d in the form u*d**2 + z*d + n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 (base 4) in base 2?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-4) - (122 - 125))\/((-2)\/(-112))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 3*g - 147*g**2 - g + g**4 + 2 + 111*g**2 to s*g**4 + d + n*g**2 + o*g + x*g**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2626, -4 in ascending order.\nAnswer: -2626, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 16, 5\/119, -1 in ascending order.\nAnswer: -3\/2, -1, 5\/119, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q = -2, 170*q - 165*q = -4*m + 73. What is the highest common divisor of m and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (15 - -9) - (-21 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12555\/27*((-79)\/395)\/(6\/10)?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -4) + -22 + 47\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 311\nAnswer: 13\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -5 (b) -0.5 (c) -6288 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 4*o - 7. Let n be m(9). Let i = n + -16. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v\/(v**(1\/9)*v))\/v))*v**(-2\/5)*v)**44*((v\/((v*v**(4\/3))\/v))\/(v*v**(-4)))\/(v**(-6)*v**0\/v) assuming v is positive.\nAnswer: v**(-577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -538708 or -538668?\nAnswer: -538668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 = 1. What is the common denominator of (-5 - 844\/(-60))*(-27)\/36 and z - (0 + (-38)\/7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by -5\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125, 260, 415, 596, 809, 1060?\n\"Answer: s**3 + 4*s**2 + 116*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/(-25))\/((-15052)\/188150).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 5. Let s(n) be the first derivative of 2*n**3\/3 + 2*n - 6. Calculate -2*a(d) + 5*s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10036*t - 3003. Let u(d) = -2*d. Determine a(u(z)).\nAnswer: -20072*z - 3003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -557 - -560. Let r(g) = -28*g**j + 16*g**3 + 3 - 2*g + 11*g**3 + 5*g**2. What is r(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s**3 - 319*s**3 - 1260*s**3 + 13*s**3.\nAnswer: -1689*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 323817719282*d**2\/7 + 1609516*d\/7 + 2\/7.\nAnswer: 2*(402379*d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1) + (-26 - -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(126)\/sqrt(3))\/sqrt(6) + -5 - (-4 + sqrt(175)*-1)**2).\nAnswer: -191 - 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*p + k, 4*p - 2*p + 2*k = 168. Differentiate -3*x + p + 14*x - 261 + 8*x**3 wrt x.\nAnswer: 24*x**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 2*k - 13, 0 = -3*h - 3*k + 18. Which is the second biggest value? (a) -5 (b) h (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82586*l**2 + 3*l + 8239 wrt l.\nAnswer: 165172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*c = 275*c - 22235 - 37705 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, -3, 2\/47, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 14. Let y = 10 + -7. Suppose o = w, y*j - 64 = j - 3*w. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 512?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 4*u. Suppose -g = -0*g + u. Let q = 296 - 292. Put 3, g, q in increasing order.\nAnswer: g, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-153)\/(-6)))\/(8\/(-30))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -1\/6 (c) 574 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2870, 2853, 2824, 2777, 2706?\n\"Answer: -m**3 - 10*m + 2881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10166 = -4*t, 5*t - 7619 = 2*t + w. Suppose -3*j = 4*u - t, 9*u = 10*u + 2. What are the prime factors of j?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -49 + 33 - 19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -865, -1299?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/655, 0, -0.2, 5\/274, 1.\nAnswer: -0.2, 0, 2\/655, 5\/274, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 9. Let c(n) = -n**3 - 4*n**2 - n. Let o be c(-2). Let h be x(o). What is the derivative of 19 - 8 - 9 + h*u**2 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000571189 rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -2. Suppose -16 = 4*f - 92. Suppose -5*d = 4*v - f, -3*d + 0*d + v + 8 = 0. Solve 2*i - d*o = -1, -3*o - 13 = i + z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 + 11*y**2 + 8*y - 24?\nAnswer: -24*y**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 6*i**2 + 2. Let t be z(-6). Let v = 3 - t. Let j be (v + 0 - 1)*1. Solve j = 3*b + 4*w + 6, 5*b - 4 - 18 = 4*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 1\/4, -361, -235\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156487, 1251224, 4222643, 10009084, 19548887, 33780392, 53641939, 80071868?\nAnswer: 114008519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1930520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(50)\/(1*sqrt(10)) - sqrt(5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)\/a*a)\/a**1)\/((a**(2\/13)\/a)\/(a*a*a**(-4)\/a))*(a**1*a)**(-15\/7)*(a\/a**(-2\/3))**(-43) assuming a is positive.\nAnswer: a**(-7047\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 2*n - 1. Suppose q = 3*o - 1, -q - o - 5 = 4*q. Let i be p(q). Solve 4*u + 0*k = 2*k - 6, i = -3*u + 3*k - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/2 + (-15)\/(-6). Suppose -x - 2351 = -p*o, 4*x - 3140 = 59*o - 63*o. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r = -137990 + 9402. Is 68 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 5.4. Let t = v - 8. Let n = -139 + 144. Which is the second smallest value? (a) n (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61962 divided by -10327.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/5 + 7088*s\/5 - 207234\/5 = 0.\nAnswer: -3573, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281815385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huq when three letters picked without replacement from {g: 1, q: 1, e: 3, h: 9, u: 3, n: 1}.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.1 (c) 1988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1992 and 55\/6?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.2959 to the nearest integer.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -53. Let y(c) = -c + 64. What is -a(d) - 4*y(d)?\nAnswer: 4*d - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -89, -202, -381, -638, -985?\n\"Answer: -2*f**3 - 15*f**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 9\/2*a**2 + 0 + 1\/20*a**5 + 5\/12*a**4 + 1\/6*a**3 - 13*a. Let h be m(-5). Put 1, h, -3 in increasing order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55691\/11 + -5058. Find the common denominator of o and -37\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -10*v**5 + 26*v**4 + 252*v**3 + 376*v**2 + 112*v = 0?\nAnswer: -2, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 - 40*g**4 - 105*g**3 - 70*g**2 + 100*g + 120.\nAnswer: -5*(g - 1)*(g + 2)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -22.5. Let g = v - 10. Let t be ((-1)\/10)\/((-2)\/(-8)). Sort 0.1, t, g in descending order.\nAnswer: g, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38184.\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5034*m = 4985 - 508385 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 33 = -4*a, -3*f + f + 3*a = -61. Let w = f - 36. Let v be 2\/w + 9\/7. Sort v, 0, -2 in descending order.\nAnswer: v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 0)*(1 + 2 + 0) - 4 + 1 + 2 + 1 - 1 - 1)*(-j**4 - 2*j**4 + 2*j**4) to z*j**3 + x*j**2 + u*j + i*j**4 + n and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -21\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -192b + 779c?\nAnswer: 5b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235746347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*w**2 - 7146*w + 5222963 wrt w.\nAnswer: 142*w - 7146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/12))**(4\/13))**(2\/7) assuming z is positive.\nAnswer: z**(2\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097718034 rounded to five decimal places?\nAnswer: 0.09772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 15*d**2 - 11*d - 42. Calculate the remainder when r(17) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 128 = -0*t - 2*q, q - 154 + 87 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82782)\/84)\/(-73)*((-96)\/(-9) + -6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -5.46\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396) - (sqrt(396) - (sqrt(396)*1 + -2)) - 3*(sqrt(396) - (sqrt(396) + -2))))**2.\nAnswer: -384*sqrt(11) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 154, 333, 572, 865, 1206?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9769 is divided by 88.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6643*r - 6643*r + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 5. Let r be g(4). Let k be (r - -1) + (5 - 2). Calculate the lowest common multiple of (30\/(-25))\/((-2)\/k) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 4. Let i be 51\/15 - f\/(-10). Let t be 18 - (-2 + (i - 3)). Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 64*o**2 - 505*o - 29. Calculate s(7).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216052653 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -41. Let n be ((-55)\/22)\/((-2)\/y). What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:31 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)**(-41)\/((p\/(p*p*p\/((p\/(p**(-2\/7)\/p)*p)\/p*p)))\/(p\/p**(-2\/5))) assuming p is positive.\nAnswer: p**(-2866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 - 10*i**2 + 44*i**2 + 6*i - 5*i + 10*i wrt i?\nAnswer: 40*i**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.000225 and -0.73025.\nAnswer: -0.730025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**3 - w + 3*w**2 - 4 + 1 - 6*w**3. Let i be y(-3). Suppose i = 4*l - 47 - 97. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1946 - 1942 - 72 = 220*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*q = 0, -3*n - 5*q - 9 = -7*n. Let w = 3 + n. Suppose 17*p - 20 = 12*p. What is the smallest common multiple of w and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1121?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 5. Let h(m) = -18*m + 25. Let d(c) = -12*c + 17. Let l(u) = 7*d(u) - 5*h(u). Suppose 0 - 15 = 3*j. Let i = j + 9. What is i*l(g) + 5*k(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.04711 kilograms in grams?\nAnswer: 60047.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-105)\/90).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5 + 10. Suppose -4*l = l - 5*f, -18 = -d*l - 3*f. Let s = 5 + -2. Is s greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 25. Let g be i(-16). What is the greatest common factor of g and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(7*u - 75*u - 55*u - 3 + 3 - u - 2*u + 3*u + 0*u + (2 - 2 + u)*(0 - 2 + 0) - 2*u - u + 4*u + 3*u - u + 0*u) + 3 - 3 + 3*u.\nAnswer: -363*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21614807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133100626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 2\/17, -0.4, 7, 1\/5.\nAnswer: -2, -0.4, 2\/17, 1\/5, 7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((3\/27)\/((-27)\/(-81))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 439.2, -1, 13, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2448\/2992)\/((-15)\/(-2750)*2).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)*350\/(-28). Calculate the highest common factor of 100 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5984 and 8.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -1\/7 (c) 182 (d) -4 (e) -0.2934\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1224060 and -19\/1448?\nAnswer: 443109720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332833 is divided by 3918?\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11. Suppose -4*j + 24 + 32 = i. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 129 = 2*a, 50 = -3*a + 3*m + 233. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*u - u - u) - 3*u + 5*u - 3*u + 8*u - 8*u + 9*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20559492 divided by -6\nAnswer: 3426582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122875 - 9*t**3 - 2*t**3 + 245746 - 122871.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*r - 20215829 = -20234273 for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 613, 528, 425, 298, 141, -52?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 14 - 25)*(-6*z + 3*z + 0*z + (0*z - z - z)*(-3 - 1 + 2)).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 - 5)*(191 - 60*j**2 - 191) to the form p + t*j + a*j**2 and give a.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*s - 4 = 0, -d = 2*d - 5*s - 4. Let y = -5 + d. Suppose -j = 2*j + 2*b - y, j + b - 2 = 0. What is the closest to j in -0.3, 4, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:45 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054007389 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 4\/((-240)\/(-54)). Suppose -8*x - 7 - 25 = 0. Which is the nearest to -1\/3? (a) x (b) i (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 1. Let f be d(-2). Let n(a) = a**2 + 6*a + 13. Let i be n(-3). Put -1, i, f in increasing order.\nAnswer: -1, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1924725443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j + 2. Let q(n) = 4*n**2 - 9*n - 9. Let y(m) = 3*m + 30. Let l be y(-7). Determine l*z(k) + 2*q(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:53 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*g - 446\/5*g**2 - 44\/5*g**4 + 0 - 1\/5*g**5 + 291\/5*g**3 = 0. What is g?\nAnswer: -50, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 61*b**2 - 66*b - 244. Calculate the least common multiple of 512 and g(-62).\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53*z**3 - 5*z**2 - 5*z - 5. Suppose 217 = 3*h - p, -45*h + 363 = -40*h - 3*p. Let n(o) = -768*o**3 - 72*o**2 - 72*o - 72. What is h*j(y) - 5*n(y)?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5\/8))**(-2\/3)\/(j*j**12)**(2\/133) assuming j is positive.\nAnswer: j**(-237\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 35*a**2 - 3*a - 4. Let m be k(-2). Find the common denominator of 51\/2 and (-2 - -6) + m\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5762930 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(10\/9)\/x)\/(x*x**(3\/26)*x))**(-26) assuming x is positive.\nAnswer: x**(469\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12987, -2289, 3?\nAnswer: 12987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x**(3\/13)*x assuming x is positive.\nAnswer: x**(-62\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**2 - 7*y**4 + 40 + y**3 - 22 - 19 as i*y**3 + u*y**2 + t + p*y + x*y**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**16\/p**(3\/7))**(-2\/77))**(-2\/17))**(-16) assuming p is positive.\nAnswer: p**(-6976\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365747?\nAnswer: 365747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/59 and 63\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3893669904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/71 (b) -21 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z + 2208 = 3328 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -2.6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212112 + -1202222200?\nAnswer: -1200010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p*p**(-3)*(p**(-2\/5))**(-11\/4))**43 assuming p is positive.\nAnswer: p**(1763\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 82*k**3 - 78*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 29\/20*z**5 + 0*z**3 + 0*z**4 - 7*z + 24*z**2 + 0. Differentiate g(y) wrt y.\nAnswer: 87*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36839191 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 7*t - 1. Let j(w) = -w**2 - 7*w - 2. Let g(n) = 4*b(n) - 5*j(n). Suppose 5*z + 52 = 3*m, 6*z - 2*z + 2*m = -24. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (2 + -6)) + 10 + -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 + 39 = 0. Let s be (5\/(-10))\/((-1)\/z). Suppose -s*d + 12 = d. Solve d = -3*n + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 382.7822m?\nAnswer: 0.3827822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -1\/2 (c) -1\/30 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*w = w, 0 = 2*q - 4*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698147503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1))\/d**(-1\/3)*d**(4\/3)*d**(2\/9)*d*((d\/d**(-1\/10))\/(d*(d**(3\/8)*d)\/d))\/(d**(2\/5))**(-10) assuming d is positive.\nAnswer: d**(2381\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 25 - 24)*(7*k + 22*k + 16*k).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1780, -275, 2166, 5543, 9856, 15105, 21290?\n\"Answer: 468*w**2 + 101*w - 2349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(h + 5*h - 7*h)*(-2 - 4 + 3).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(1\/(-8)). Let a be d\/(-4)*(7 + 0). Let c be a\/14 - 1\/(-2). What is the nearest to -0.2 in -0.3, 0.1, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -3*c - 5*g, -5*c = 5*g + 162 - 412. What is the remainder when 115 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058\/(-1449) - (0 + (-4)\/3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 19*x - 9*x - 700. Solve 21*g = -x - 76 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34150153 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 3, j: 5}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)**(-34)\/(l**(2\/7))**(-37))**(25\/2) assuming l is positive.\nAnswer: l**(-2050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 161. Let i be 4\/(-18) - 3210\/54. Let l = i + 59. Which is the second smallest value? (a) l (b) 2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1*(1 + -2)). Calculate the common denominator of (2 - (-43)\/22) + a and 119\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + 20*s + 8*s + (5 - 1 - 3)*(1 - 1 + 4*s) in the form z*s + b and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127820194 is divided by 7434.\nAnswer: 7432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from atatkckkatkackapcatt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 7. Let o = -5.2 - b. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 517\/2079. Let u(x) be the first derivative of 4\/27*x**3 - 1\/9*x**4 + b*x**6 - 2\/45*x**5 - 2\/9*x + 1\/9*x**2 - 2. Let u(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 26*m - 23*m. Suppose 0 = 14*w - 48 - m. Which is the fourth biggest value? (a) -0.4 (b) 1\/5 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -420 + 424. Find the second derivative of 57*l + 10*l + 12*l + 66*l + 14*l**a wrt l.\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -94*b**2 + 4*b. Let z be c(-1). Let n = z - -306. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:13 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*w - 11*w - 11*w)*(9*w - 11*w - 28*w)*(3*w - w + 0*w) to the form d*w**3 + q*w + o + m*w**2 and give d.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q**2 - q + 2. Let a be y(1). Solve a = 3*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(2299)*-5 - -2*-1*sqrt(2299) - ((sqrt(2299) - -5*(sqrt(2299) + 2*sqrt(2299) + sqrt(2299)))*6)**2)*1 + -2.\nAnswer: -36498927 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -41\/2, 0.1 in decreasing order.\nAnswer: 106, 0.1, -41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/5 - 404*h**3 - 510048*h**2\/5 + 404*h + 102010 = 0. What is h?\nAnswer: -505, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**6 + 2*s**3 + 688*s**2?\nAnswer: -360*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 134 - 416 + 4209*y + 139 + 143 in the form o + g*y and give g.\nAnswer: 4209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -210a (base 11) in base 7?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5 - (-2 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*j - 158*j - 20 + 41 + 325*j + 68.\nAnswer: -2*j + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2 - 560\/(-48)) + -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 28\/103 (c) 5 (d) 3 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12224812 divided by -6112406?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*20739\nAnswer: 1659.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -58*p + 884. Let q be a(15). Solve q*t - t + 13 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024594 rounded to 7 decimal places?\nAnswer: -0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 4913 + 8295. What are the prime factors of c?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 32. Let d be a(-5). What is the greatest common factor of d and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 + 1196*p**4 + 2420*p**3 - 3580*p**2 - 9616*p - 4816 = 0 for p.\nAnswer: -2, -1, 2, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 243. Let u = -2 + 2. Suppose -x + 3*x - a = u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 602*k**3 - 3*k**2 + 3*k. Let w(a) = 1202*a**3 - 7*a**2 + 7*a - 1. Calculate 7*l(z) - 3*w(z).\nAnswer: 608*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.71 plus 335?\nAnswer: 321.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 1. Let m(z) = z**2 - 3*z - 6. Determine m(h) + 2*u(h).\nAnswer: -h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13020 and 9240?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40.957 + -2903.97689\nAnswer: -2944.93389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2 + 3*s - 6 - 2*s. Let u be i(-4). What are the prime factors of 4\/8*u\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 67, -0.5, 2\/13, -2.5 in decreasing order.\nAnswer: 67, 2\/13, -0.4, -0.5, -2.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523581729?\nAnswer: 3, 11, 23, 689831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-18220)\/10021)\/(18\/22)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1645, 3286, 4937, 6604, 8293, 10010, 11761?\nAnswer: 13552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17521 is divided by 297.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4713, 9427, 14133, 18825, 23497?\nAnswer: 28143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*k - 168951 = -56411 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181557871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 645.495 to the nearest integer.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-2*(-5*(sqrt(76) + -1) + -3*(sqrt(76) + -1 + sqrt(76)))**2 + 4).\nAnswer: -555480 + 21120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54, -12\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*r - 275*r + 27*r + 80*r + 84*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -108, 1, 3, 0.1, -4\/11, 0.3, -2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*a**3*g**2*v - 2*a**3*g*v + 3*a**3*g - 16*a*g**2 with respect to v.\nAnswer: -124*a**3*g**2 - 2*a**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.083694 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*n - 2*j, -587*n - 591*n - 29 = -1183*n + 2*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3380*d**4 + 10518?\nAnswer: -13520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 3*q**2 + 7*q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341377*v**3 + 242*v**2 - 242*v**2.\nAnswer: -1341377*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -2, -3\/4.\nAnswer: -2, -1, -3\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*3 + 16. Solve 15 = -5*y + 2*p, 2*y - p = -2*p - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48225148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 579517 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/3132 and 61\/1740?\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -156798246141+0.1\nAnswer: -156798246140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 1 - 1. Let p(y) be the second derivative of 0*y**4 + 0*y**2 + 0 - 3*y + d*y**3 - 1\/25*y**5. Factor p(z).\nAnswer: -4*z**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let z(r) be the second derivative of -r**4\/3 - 33*r. Calculate l(z(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 35*y**2 - 86*y - 337. Calculate n(32).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 232, 355, 478?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2515 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 11. Calculate the smallest common multiple of v(7) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/258961 + 594131\/11394284. Find the common denominator of w and 65\/272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t - 75 = -3*h, -5*t = 0. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11688089, -11687992, -11687897, -11687804, -11687713, -11687624?\n\"Answer: -w**2 + 100*w - 11688188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/1*(-321972)\/336 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 7 = 5*t + 3*a, 936*a + 28 = 943*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 163 and 811\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:05 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 38. Let z = 440 - 422. Let t = i - z. Solve 0*h = t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-1 + 3)**2.\nAnswer: -12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.725012 to one dp.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1562471, 1562475, 1562483, 1562495, 1562511?\nAnswer: 1562531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343)*2 + 4)*-1)**2.\nAnswer: 1792*sqrt(7) + 22208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30420 and -87\/27040.\nAnswer: 243360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 83737277.\nAnswer: 586160939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*(-6 - 6). Suppose x = -16 - t. Is 15\/(-1)*344\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 + 26888*t\/7 - 45185284\/7.\nAnswer: -4*(t - 3361)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1521\nAnswer: 152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2597 - -2693. Calculate the remainder when l is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32340478 times -0.09\nAnswer: 2910643.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 486*f**3 - 835.\nAnswer: 1458*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159051 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r + 4. Let h be m(-5). Put -4, -5, h in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437959, -875955, -1313951, -1751947, -2189943, -2627939?\nAnswer: -3065935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*a - 70*a - 86*a)*(0*a - a**2 + 0*a)*(2*a + 0*a - a) as m*a**2 + p*a**3 + z*a + j*a**4 + b and give j.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 3*v**2 + 2*v. Let i be c(2). Let s = 23 + i. Let q = -21 - s. Solve -3 = q*o - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.90588ms?\nAnswer: 0.00790588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -157. What is the second biggest value in -2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309 is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 821 = -3*r + 256, 0 = -5*w + 3*r + 2789. Which is bigger: w or 555?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 25*o**2 + o - 45. What is z(-25)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/12 - h**4\/24 - 29*h**2. Let j(m) = -2*m - 7. Let d be j(-4). Determine b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, f: 1, x: 4, s: 1, r: 1}. What is prob of sequence fx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 5*p + 480, -4*p + 1440 = 3*x. Suppose b + x = 5*b. Calculate the highest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-4\/7)*(d*d**(2\/3))**13 assuming d is positive.\nAnswer: d**(461\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 594302618 to the power of 1\/2, to the nearest integer?\nAnswer: 24378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14812 and 63.\nAnswer: 133308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7)\/u)**39*(u**(-15)*u)\/u*u\/(u\/u**(9\/5)) assuming u is positive.\nAnswer: u**(-1632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21.8*-2\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 33\/4*s**4 + 0*s - 190 - 121\/2*s**3 + 0*s**2 - 3\/10*s**5. Determine v so that k(v) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -2.8?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 20*g**2 + 36*g**2 - 101*g**2 + 44*g**2 - 2*g + 13*g**3. What is l(-2)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*m = -925 - 1539, 1000 = 2*q - 2*m. Let o = -170 + 688. Suppose -4*v + 3*y = -o, 5*v - 5*y - q = 149. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3389, 6768, 10183, 13640, 17145, 20704?\nAnswer: 24323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 6. Let t(j) = j**2 - 7. Suppose 0*u = -4*u. Suppose 5*f - 3*a = -2, -6 - 14 = -4*f - 3*a. Suppose f*p - 1 + 9 = u. Give p*t(x) - 5*k(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87031?\nAnswer: 7, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.594, -0.1, -2, -0.094?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 20 = -34. What is the common denominator of ((-80)\/(-1500))\/(n\/(-5)) and 34\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 9*m + 12 = 0. Suppose 8*k - 12 = -m*k. Solve -3*b - n - k = -0, -4*b = -2*n - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3541, 3534, 3527, 3520?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 0. Let o be (x + 3)\/(6\/4). What is the third derivative of 0*z**o + z**2 + 0*z**6 + z**6 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6770*b + 21135 + 16140 + 21536 = -35969 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/3 - 794*m**3\/3 - 19630*m**2\/3 - 125398*m\/3 = 0.\nAnswer: -371, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -28. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {c: 2, g: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 628 + -1140. Let u = -5 - -11. Calculate the lowest common multiple of u and (-4)\/18 + x\/(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**6 + 42*k**5 - 408*k**3 - 28*k**2 + 4406*k wrt k?\nAnswer: -600*k**3 + 2520*k**2 - 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.4112l to millilitres.\nAnswer: 89411.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 712679 = -4177214. Let u = -2264535 - h. Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((3 + 3)\/3). Suppose 0*v + 2*v = b. What is the smallest value in v, -3, 1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 30*t + 20*t + 2*t**2 + 2*t**4 + 222*t**3 - 221*t**3 - 3*t**2 + 3 in the form d*t + g*t**2 + a*t**3 + r*t**4 + f and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 11*d + 31. Let l be p(-4). Suppose 10*y = 8*y - 2, 5*y = -b + l. Solve b*a - 25 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 2*r + r - 11*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 52. Let g = -9 + l. Which is the nearest to 2\/9? (a) g (b) 5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2131*142.\nAnswer: -302602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 greater than 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x - 4 + 5\/3*x**3 - 5\/2*x**2. Find the second derivative of i(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/3 (b) 2 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 929 + -1859\/2. Which is the closest to v? (a) -3\/7 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 106*q**2 + 55*q - 57. Let x be z(1). Calculate the greatest common divisor of x and 24856.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - 3 - (4 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(468) + 0)**2*-2 - 3*(0 + sqrt(468) + sqrt(468))**2 - (2*(-1 + sqrt(468)) + sqrt(468) + 3)**2)*1.\nAnswer: -10765 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**6\/60 - g**5\/20 + 6*g. Factor d(p).\nAnswer: -p**3*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94525.25 grams to kilograms.\nAnswer: 94.52525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 25 = -5*f, -3*l + 26 = -5*f - 13. Suppose 5*s - l = 6*z - 2*z, -4*s - 5*z = 10. Is (-1)\/(1 + s)*-14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12*15\/10. Suppose 11 = 4*t - w, -2*t + o = w - 6*w. Suppose -t*m = -3*n + 135, -3*n = 2*n + m - 195. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96d4f - 13?\nAnswer: -96d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 413632097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let m(i) = 6*i - 7. Let v(h) = 5*b(h) - m(h). Let j(p) = p - 6. Let l(w) = 7*j(w) + 6*v(w). Let x(y) = -20*y**2. What is l(x(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45602134.\nAnswer: 2, 22801067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*y + 3 = 0, -9*s = -5*s - 5*y - 40. Suppose 11 = -h - 5*w - 7, 2*h = s*w + 39. Suppose v - 22 = -3*z, -2*z - 4*v - v - h = 0. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-30)*(-50268)\/184316\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -120*y - 56. Let t(x) = 11*x + 5. What is -5*f(w) - 56*t(w)?\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4015, 4014, 4005, 3982, 3939, 3870, 3769?\n\"Answer: -b**3 + 2*b**2 + 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*w - 3*f, 1 - 3 = -w + 2*f. Let l(c) = -c**2 + 127. Let x be l(0). Suppose w = 2*j, 5*b - 5*j = -4*j + x. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 3, o: 1, h: 1, n: 3, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.10983 decades?\nAnswer: 4213.1796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11139132 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {d: 2, c: 4, o: 4, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4185, 1, -19, -230 in descending order.\nAnswer: 1, -0.4185, -5, -19, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*-2 + (-171)\/342.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 228, 247, 266, 285?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (1 + sqrt(1100))*-1)*3)**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 40*k - 246. Let r be l(8). Which is the second smallest value? (a) 1 (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13\/b**(-2\/23))**10 assuming b is positive.\nAnswer: b**(3010\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 4*m - 7*m - 2*m in the form a*m + q and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 106808485 and -9.\nAnswer: 106808476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**5 + 252*i**4 - 2446*i**3 - 9652*i**2 - 1032*i + 12880 = 0.\nAnswer: -2, 1, 14, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 330 in -6, 1\/6, -1, -0.28?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 3*y**2 + y - 4. Suppose 0 = -2*r - 5*a - 2, 11*r - a + 6 = 13*r. Suppose 2*i + 3*k = 7*i - 8, 4*i - r = 3*k. Determine b(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4 + 2650*n**3 - 17726*n**2?\nAnswer: -48*n + 15900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((9 + 23)\/(15\/3))\/(546\/4095)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let v be 14\/10*(0 + 32\/(-112)). What is the biggest value in v, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15\/10 + -1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a3c41 (base 16) to base 5.\nAnswer: -3240242431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18*b + 25672 = -22312. Which is greater: 3002 or b?\nAnswer: 3002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 393 - 355. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.97 - 2.87. Let o be (-1)\/(-5) - (-14)\/30. Suppose -y = -3*u + 1 - 0, -5*y = 2*u - 12. Which is the closest to z? (a) y (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1746 + 1786. What is the nearest to 1\/3 in -2, y, -0.3, 6\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4043 - -232?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 22*q. Let x(n) = -9*n. Let a(p) = -5*h(p) - 12*x(p). Let c(w) = -w**2. Give a(c(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 5 = -110. Suppose -m*s - 782 = -3*b, 4*s + 7 - 15 = 0. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 6*l + 4*l)*(1 + l - 1)*(289*l + 5*l**2 - 2 - 289*l) to the form m*l**4 + t*l + k + b*l**2 + x*l**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 1. Let g be n(2). Suppose 2*o = 7*o + 3*z - 22, -z - 2 = -g*o. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - -1. Suppose -u + 4*u - d = 0. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 1530?\nAnswer: 35190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*6*2\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/6)\/(2\/6). Let g = -60 - -60. List the prime factors of ((x + g)\/1)\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*h**4\/3 + 1583*h**3 + 127978*h**2\/3 - 2988*h - 1944 = 0. What is h?\nAnswer: -54, -2\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -36.37 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f - 2*f + (-4*f + 0*f + 2*f)*(-1 - 2 + 1))*(-4 + 19 - 9 + 1).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8501905 is divided by 170038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.593 + -178.293. Let u = 169 + t. Let l = 8.73 + u. Sort -1, l, 0.2.\nAnswer: -1, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**3 + 27*y**2 + 22*y. Let w(n) = -13*n**2 + 42*n**3 - 13*n**2 - 37*n**3 + 0*n - 22*n. Let a(b) = 3*i(b) + 4*w(b). Factor a(t).\nAnswer: -t*(t + 1)*(t + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179233 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v = -59*v + 3*l - 29, -5*l = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 55*y**2 + 28*y - 468. What are the prime factors of h(13)?\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 61261765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**7*w\/(w\/w**6) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(468) + -2)**2 - sqrt(468))*-1.\nAnswer: -7492 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 20. Let z be u(5). Let g be -3 + (9 - 2) + -3. Put 2, g, -4, z in decreasing order.\nAnswer: 2, g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 231*z**4 + z**3 + z**3 - z - 233*z**4 in the form b*z + m + t*z**4 + h*z**3 + c*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2509123 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 33.6?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -29. Let j(n) = 15*n - 32. Calculate the remainder when j(6) is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3 (c) -4.3 (d) 0.5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2123*c**2 - 1176*c**2 - 1083*c**2.\nAnswer: -136*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1440.94817 to the nearest 10.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3\/4 - 20195*b**2\/2 - 15289895*b + 21768135150 = 0. What is b?\nAnswer: -4474, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5187 - 1796. Is a a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 90 - 95 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 3.95. Let w = -3.99999976 + t. What is w rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 - 2773\/16. Let a = -23\/176 - m. Put -5, 4, 0, a in ascending order.\nAnswer: -5, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 70, 171, 344, 607, 978, 1475, 2116?\nAnswer: 2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 1688*y - 1689*y - 749, -3*y = -g + 231. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -34?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/6))\/(o\/o**27)*o**28\/o**0)**(-3) assuming o is positive.\nAnswer: o**(-331\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 509752836.1996 and 17.\nAnswer: 509752853.1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((11730\/68)\/69)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 5*s**2 - 3. Let k be n(-3). Let p = 34 - k. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - -3.42. Let a = 50332\/35 + -1438. What is the third smallest value in 1, w, a, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 36*b**2 + 36*b**2 - 8*b**2 - 62*b**2. Let i(t) = 2557*t. Give i(s(w)).\nAnswer: 5114*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -c, 4 = 4*z - 17*c + 14*c. Let u = 23 - z. Let l(r) = r + 11. Calculate the remainder when u is divided by l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:27 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 2*c + 17. Let u be w(-6). Which is smaller: -2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4482287 or 1?\nAnswer: 4\/4482287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3 (c) -0.7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 117414980 to the nearest 10000.\nAnswer: 117410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*8\/(-256))\/(50\/40).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - ((-4 - -2) + 0 + 0) - (-6626 + 6626).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 71 + 149 = 2*w, 5*f = w - 11. What is the remainder when 861 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + 0 + -1 + -4 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 2. Suppose 8*m - 7*m = o. Suppose -2*u + 1 + m = 0. Put u, -4, -5 in ascending order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*g + 174*g = -10189218. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 34 = 9*d - 5*d, 18 = -3*j. Sort -1\/13, d, -2\/25.\nAnswer: d, -2\/25, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 17, a: 2}. Give prob of sequence aaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3359, 13424, 30197, 53678?\n\"Answer: 3354*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-18)*4515\/(-400330)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 - 4433 = -80*g + 4511 + 1148 for g.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1657*j - 6*g = -1662*j - 19, -3*j + 3*g = 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6)*k*k)**(-1\/21))**(-1\/9))**(-42) assuming k is positive.\nAnswer: k**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21727355 and 26072826?\nAnswer: 130364130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**3 + 13*q**2. Let k(t) = t**3 + 2*t**2. Give 39*k(d) - 6*x(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 1644 = 0. Let i = 1256\/3 - r. Let d = i + -17\/2. Is -2 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.8 - 16. Let o = 6 + b. What is the second smallest value in 4, o, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 30. Let r be n(13). Suppose 0 = r*g - 30*g - 1020. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16981\/20 or 848?\nAnswer: 16981\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/18)\/((-2)\/18). Let g = 1020 + -7114\/7. Find the common denominator of g and 2\/4*324\/f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72940 - -72940.0130029. Let z = 0.013 - y. What is z rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 125*g**2 - 330*g.\nAnswer: -5*g*(g + 3)*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3371 * -451.5\nAnswer: 1522006.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/324 and -149\/504.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-21))\/(3\/(-14)). Suppose -5*j + 13 - 4 = y*z, -5*z = -j - 4. Let s be 4\/((-2)\/6 + j). Solve 0 = 4*v - 7*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 11 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 721\/309 - (-2)\/(-4)*10?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795569 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42419931 and 31023?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/108)\/5*(-5)\/(-4)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.87 - 66.8699996387. Round o to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3965531 or -3965539?\nAnswer: -3965531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4129.21ms to nanoseconds.\nAnswer: 4129210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3192492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27224.459 less than -0.11?\nAnswer: 27224.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*t**3 - 39*t**3 + 1 + 2*t + 0*t wrt t?\nAnswer: 72*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.3399 * -0.06.\nAnswer: -2.240394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f = -435 - 719 + 236. Let n(b) = -14*b - 250. Calculate n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -0.006?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-3)*g\/((g*g**(3\/19))\/g)*g**(-1\/9)\/(g\/(g\/(g\/(g\/g**40)))) assuming g is positive.\nAnswer: g**(-6031\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**7\/2520 - v**6\/144 + v**5\/40 - v**4\/6 + 2*v. Let t(i) be the third derivative of d(i). Calculate t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*q - 6. Suppose 0*s - s = 215. Calculate the common denominator of (q\/40)\/((-2)\/s) and -32\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755577 is divided by 6481?\nAnswer: 5707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcfcumgtgftcftcg. Give prob of picking 1 t and 1 c.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -3 (b) 8 (c) -2 (d) -1273 (e) -0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.338 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*m - 6, 3*m + m - r = 8. Let d = -5 + m. Let a be 4\/6 - 7\/d. Solve -6 = -a*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 9 = -14*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (1 + sqrt(112) + -3)**2) + -4)*2.\nAnswer: -240 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.64 < -4450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (82 - 21)\/((-2)\/4). Let k = -116 - w. Suppose 4*x = -5*h + 36, -x - 5*h = -6 - 3. Calculate the remainder when x is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 3)*(2*d**2 + 0*d**2 - d**2 + (-3*d + d + 3*d)*(3*d - d - d) + 0*d + 2*d**2 + 0*d - 30 - 46*d**2 + 30).\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150.203ml in litres?\nAnswer: 2.150203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1536033cm in millimeters?\nAnswer: 1.536033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*k - 10407 + 10400, -3*k - 27 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 345 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 4*a + 4*a)*(13*a**2 - a**2 + a**2)*(3*a - a + 13*a) + 5*a**4 - 17*a**4 - 15*a**4 to the form v*a**4 + k + z*a**3 + q*a + x*a**2 and give v.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + x. Let o be p(3). Suppose -4*r = 102 - 466. Let a = r - o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 16*d**3 - 14*d**3 - 4 + 2 to the form f*d**2 + h*d**3 + z + a*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 28 + -27 - ((2 - 0) + -4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3993 - 1383. What is o rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -175*c + 2618. Determine g(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p + 65. Let g be m(-10). Let f be ((-18)\/g)\/((-18)\/45). Solve 3*r + 0*r - 4*y = 10, f*y + 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917451861.\nAnswer: 3, 1567, 195161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - c + 3, 5*d = 5*c + 25. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1350a (base 14) to base 2.\nAnswer: 1011101000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8044033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 43*m**3 + 12*m**2 - 9*m - 9. What is c(4)?\nAnswer: 2899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14208 times 0.18?\nAnswer: 2557.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5 + 5*j**4 - 7*j**3 - 5*j**2 + 6*j = 0. What is j?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywywwwww. Give prob of sequence wy.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55024 - -34555?\nAnswer: -20025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**2*z)\/z))\/z**(4\/5)*(z\/(z**(1\/4)*z))\/(((z*z*z**(-3))\/z)\/z))**6 assuming z is positive.\nAnswer: z**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 34*i = -16, 0 = -w + 5*i + 29 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 2*j - 10. Suppose -3*x + 6 = -0. Suppose a + i + x = -8, 5*a + 48 = -4*i. Calculate the remainder when q(a) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/30 - 71*c**5\/5 - 215*c**4\/3 + 2*c**2 + 1874. Factor p(r).\nAnswer: 4*r*(r - 215)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 3. Suppose -d*n = -n. Solve 3*r - 15 = n, z + 0*z = -5*r + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 605304*q*y - 9*q - 23786903*y with respect to q.\nAnswer: 605304*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*k - 3*y - 13 = 235*k, -4*k - 2*y = 30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 7. Let u be s(-6). Is u smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*g*o**2 + 7*g*o - 633*o**2 wrt g?\nAnswer: -130*o**2 + 7*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 at most as big as 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16.31? (a) 4 (b) -3\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 227*m - 241*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/8)\/(1750\/(-1400))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -159*a - 3723 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709818 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 36 - 40 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:20 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 4*r + 2*r)*(-2 - 2 + 2)*(-4 + 1 - 1) as i*r + x and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let j be ((-4)\/(-30)*15)\/2*(1 - 1). Let l(w) be the third derivative of 0*w**3 - 12*w**2 + j*w + 0 + 47\/60*w**5 + 0*w**4. Determine l(t(d)).\nAnswer: 47*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -26.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/9 - -20\/9. Suppose 2*z - 6 = -o - 0*o, 0 = 2*z + 4*o. Let w be ((-9)\/(-12))\/((-14)\/z). Is w smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192129 is divided by 24014.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1492 - 1491. Put 1\/7, 602.7, r, 5 in increasing order.\nAnswer: 1\/7, r, 5, 602.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 1, o: 4, h: 1, a: 3, d: 5}. Give prob of sequence ah.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2554, 0.5, -5.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 14*s**2 - 3*s + 126. Calculate the smallest common multiple of j(-15) and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**3 - 5*g**2 - 5*g. Let t(z) = 5*z**2 - 17*z**2 - 8*z - 22*z**3 - 4*z. Let y = 8 + -13. Let p = 38 - 26. Calculate p*w(q) + y*t(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 = -41*v - 1917 + 900 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*s + s, -4*n + 3*s = -121. What is the remainder when 111 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 + -353. Let v(f) = 620*f + 4. Let l(p) = 1239*p + 7. Let c(k) = -6*l(k) + 11*v(k). Let q be c(w). What is q rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*t - 34 = 0, -2*t + 4380 = 4378 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 18*v + 46. Solve -v = 5*t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 724867285?\nAnswer: 724867284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 4087802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40082677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -53. Let b = -9 + c. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 120 = 14*m - 10*m, 5*l + 5*m = 190. Calculate the remainder when 54 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 31)*(4 + -2). Let g = d - 52. Solve -3*o + 2 = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.193*2105\nAnswer: -2511.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*r**2 - 4*c**2*r - 33853*c**2 + 308475*c*r**2 wrt c?\nAnswer: -10*r**2 - 8*r - 67706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from aawawlwlww.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o - 2120 = 2*c - 52*o, 4*o - 2124 = 2*c. Is -1051 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -10 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -21.2. Let y = -5.8000101 + h. Round y to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1398 - 1467 = 0. Let n = 1213\/2 + d. Let x = -1845 - -14735\/8. What is the common denominator of x and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 2.8. Let b = x + -2. Let o = b - -3.88. What is o rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 1, v: 2, w: 1}. Give prob of picking 1 w and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/4 - 3*q**3\/2 + 3*q**2 - 15*q. What is the tens digit of a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6457 + 6355 + -1 + 86?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5542, -2 in ascending order.\nAnswer: -5542, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 597, 579, 547, 495, 417, 307, 159, -33?\n\"Answer: -a**3 - a**2 - 8*a + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -4*t, 0 = -3*t + 8*t + 4*b - 17. Let l be (-5)\/(-10)*(t + 7). Suppose l = j - 0*j. Solve 4*g = -0*g - 2*s, 0 = -j*g - 5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/161598 and -91\/414.\nAnswer: 484794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 2160 = 2*i. Which is greater: i or 140?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12153 (b) 28 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {b: 3, o: 4, p: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2655 = 5*d, 0 = 4*x - d - 348 - 1761. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130846, 130968, 131088, 131206?\n\"Answer: -m**2 + 125*m + 130722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13737 (b) -5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 5:50 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 643*v**4 - 30092*v**3 - 3*v**2 + 211384172*v wrt v?\nAnswer: 7716*v**2 - 180552*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4016 and 14?\nAnswer: 28112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bbd - -10?\nAnswer: -bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 643 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 2. Let l(a) = 118*a - 6. Determine -l(g) + 3*r(g).\nAnswer: -121*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18952, -18946, -18938, -18928, -18916, -18902, -18886?\n\"Answer: u**2 + 3*u - 18956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - k = -15, 5*h + 25 = -k - 0. Suppose 8*w - 3*w + 10 = 0. Put w, h, 2 in descending order.\nAnswer: 2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 7*o**2 - 25*o + 98. Let r be g(5). Suppose -r*c + 24*c = k + 3167, 20 = -5*k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 45.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 6*p**2 + 5. Let r be f(6). Suppose 3*u = -2*v - v + 117, 193 = r*v + 4*u. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254288 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 + 476*u**4 + 1836*u**3 - 476*u**2 - 1840*u = 0.\nAnswer: -115, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*t - 7, -27*j + 32*j = -3*t + 1. Solve t*z + 10 - 14 = 0, 5*b = 3*z + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:28 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -23, -39, -57, -77, -99?\n\"Answer: -a**2 - 11*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-15)*(2 - -3). Let h(f) = -3*f**2 + 10*f + 6. Let n be h(m). What is n rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1.1. What is the nearest to 0.1 in s, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-370000)\/(-385*(-4)\/(-384) - -4). Suppose -2*v = -4*t - o, t + v + 11154402 = 2274402. Round t to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 5 (b) 3\/14 (c) 14 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 999805911 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/5 - 8*a\/5 - 8\/5 = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5*(-20)\/12. Let h = 173 + -164. What is the nearest to f in 5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 7*n**2 + 8*n + 2. Let c be 310\/15*(-6)\/(-4). Suppose 1 + c = 4*o. Determine p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z + 18*z + 2*z**2)*(-38*z**3 - 4*z**3 - 31*z**3).\nAnswer: -146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -61412.64 to the nearest 100.\nAnswer: -61400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39007\/5 + -7801. Which is the nearest to -0.11? (a) 4 (b) s (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24*n**5 + 9093*n**4 + 52863*n**3 + 100866*n**2 + 58164*n - 8952 = 0.\nAnswer: -373, -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 - 2*a**2 - 2*a**2)*(2*a - 3*a + 0*a - 1 - a + 1 + (2*a - 3 + 3)*(0 + 1 - 2)) as d*a + p*a**2 + z + v*a**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -361*b + 5779. Determine u(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -538*q**2 - 4*q - 90 wrt q.\nAnswer: -1076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -26. Let j be ((-3)\/6 - d)*1*6. Calculate the greatest common factor of 75 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.1 - -4.1. Let r = 23 + z. What is the closest to -0.1 in 1, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1749, -7147, -16227, -28983, -45409, -65499?\n\"Answer: l**3 - 1847*l**2 + 136*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -44510 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(1\/1) - 3. Suppose 5*l - g - 21 = y, -4 - 13 = -l - 3*g. Solve -z - 4*z + 11 = 4*m, -l*z = m - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 9. Let r(p) = -14*p + 24*p - y*p. Let z(a) = 7*a**2 - 6*a - 6. Let c(u) = 20*u**2 - 17*u - 17. Let v(l) = -6*c(l) + 17*z(l). Give r(v(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-1 + 6)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 = -13. Solve 4*f = 3*o - 3, 0 = 4*f - 0*f + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*7\/42 + (-2 - 135). Let w = j - -118. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32860217 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182436 or -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or 13125878?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*o = 10, 3*a + 3*o + 6 = 30. Let d be ((-108)\/10)\/((-1)\/a). Suppose 0 = -2*q + d + 62. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380104445?\nAnswer: 5, 7, 17, 137, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**6\/15 + m**5\/10 + 73*m**4\/6 - 2341*m**3\/2 + 3323*m. What is the second derivative of f(a) wrt a?\nAnswer: 24*a**2 + 12*a + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2 + 64208*q + 64206 = 0?\nAnswer: -32103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 16. Suppose 0*p + 24 = 3*p + 3*d, -p - 12 = -3*d. Are p and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 5*q**2 - 4*q + 6. Let b be t(4). Let i = b + -23. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -13 - (-92 - (30 - 36))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/33 - 13\/66. Let j be ((-26)\/(-14) - 2)*3. What is the nearest to 0.1 in -5, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633235 or -633227?\nAnswer: -633235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y - 7. What is d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/495 and -23\/12.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*g - 1135 - 785 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 5, 4 in descending order.\nAnswer: 12, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2402 is divided by 109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4548188 and 104357?\nAnswer: 4443831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, 66\/959?\nAnswer: 66\/959","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 3) + (-6 - (-8 + 3)) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Let v be j(2). Let x = 6 - 7.4. Let t = x - -1.9. What is the closest to v in t, -4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l**4 - 7*l**4 + 4*l**4)*(-6 + 5 - 9).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 50 = -2*z, 0 = -2*d - z + 453 - 485 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1931 - -1931.1. Let u(s) = 33*s + 6. Let f be u(-11). Let x = -733\/2 - f. Are x and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350 + 1350 + 23*b**3.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2 - 1. Let r(u) = -45*u**6 + 6*u**3 - 3*u**2 + 22. Let s(q) = -r(q) - 6*w(q). What is the third derivative of s(k) wrt k?\nAnswer: 5400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 19538*h**3\/7 - 351252*h**2\/7 - 2106648*h\/7 - 601776.\nAnswer: -2*(h + 6)**3*(h + 9751)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 3}. What is prob of picking 1 o and 1 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 9:52 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -125 and -0.22.\nAnswer: -125.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14452476, -28904924, -43357374, -57809826, -72262280?\n\"Answer: -s**2 - 14452445*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-20 + 59 + -17 + -14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/z**(-25))\/z*z\/z**(-1) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11 + 3 = 0. Suppose d*h = -u + 3, 0 = -3*u + 5*h + 4 + 5. Calculate the least common multiple of u and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 17616603?\nAnswer: 17616607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -48*c**3 - c**2 + 5*c - 10. Let m(t) = -16*t**3 + 2*t - 4. What is -3*i(g) + 8*m(g)?\nAnswer: 16*g**3 + 3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2327965 take away -16445167.1?\nAnswer: 16445166.8672035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -799 + 919. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Suppose h = 2*c - 6, h - 3*c - 3 = -13. Let m(a) = 0*a**2 - 4*a**2 + 6*a**h + 8*a**2. Calculate b(m(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*f**2 + f*l**2 - 6*l**2 + 2 wrt f.\nAnswer: 132*f + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12572432 a multiple of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3390534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.02 (b) 158 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 287 in 2\/3, -18, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 28*y**2 + 1123*y + 986. Determine m(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52623?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 64 - (72 - 57 - (3 - 9 - -10))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 994, 3934, 8812, 15610, 24310, 34894, 47344, 61642?\n\"Answer: -3*q**3 + 987*q**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 122 = -3*l, 11*d - 5*l = 13*d - 74. Let x(q) = -q + 10. Calculate the least common multiple of d and x(3).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 3. Does 7 divide w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwqppqqqpqpwqwp. What is prob of sequence pq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -4. Let b = -4.9 - d. Let r = 121 - 367\/3. What is the closest to b in 0.3, 0.4, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = -2*g. Suppose 0 = -3*c + 2*h + 70, 0 = 5*c + h - 122 - 12. Calculate the remainder when c is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 182*b**2 - 398*b + 3731. Calculate f(89).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 1:30 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13012 is divided by 11747?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 21*c**2 + 7*c - 12. Let a(r) = -2*r**2 + 3*r - 3. Calculate 6*a(f) - 2*j(f).\nAnswer: -2*f**3 + 30*f**2 + 4*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 1596*k**6\/5 + 13*k**4\/12 + k**3\/3 + 49*k**2 - 5122*k. What is the third derivative of u(w) wrt w?\nAnswer: 229824*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 q when three letters picked without replacement from {h: 2, q: 1, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -26. Let q be k + -1 + -13 + 13. Is q at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.4 + -16.5. Which is the second biggest value? (a) -4\/7 (b) n (c) 0.5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8872227 and 83\/1794?\nAnswer: 17744454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2813a + 5?\nAnswer: 28143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 159 = -39*c - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213362936.\nAnswer: 2, 1129, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + 616350.\nAnswer: 616349.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 18*l**2 - l - 9. Let t be s(9). Let h be 990\/72 - (t\/8)\/(-3). Differentiate 20*c**2 - h - 5*c**2 + 6*c**2 wrt c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188451522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.4 + 29659.\nAnswer: 29696.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21162909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.27463 - -0.1673459.\nAnswer: -3.1072841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4020.84 + -4021. Suppose -m = -4*t + 2*m + 35, 4*t + 2*m = 10. Put -1\/8, 3, t, f in decreasing order.\nAnswer: t, 3, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -1\/4 in ascending order.\nAnswer: -1\/4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - 2 + 2 + (2*g**5 - g**3 + g**3)*(-8 + 6 + 14) + (g - 4*g**2 - g)*(2*g**3 + 2*g - 2*g).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1676 and 14.938.\nAnswer: -25036.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 72\/15 - (-2)\/10 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.012, -0.6, -5\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c4 + 68?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 0.694, -0.4, -3, 0.5, -14?\nAnswer: 0.694","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 0*o. Let u(n) = -n**2 - 20*n - 88. Let h be u(-7). Find the third derivative of -5*f**3 - 4*f**5 + 8*f**3 - h*f**o + 12*f**2 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 218, 439, 660, 881?\n\"Answer: 221*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -83984, -4 in descending order.\nAnswer: 0, -4, -9, -83984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88569, 177090, 265585, 354054, 442497, 530914?\n\"Answer: -13*u**2 + 88560*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (0 + sqrt(11))*-2))**2 + (sqrt(176) - (sqrt(176) + 6*1*sqrt(176)))*4 + -1.\nAnswer: -104*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/108 and 59\/2520.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 6167*j**3 + 73 + 2*j - 1764*j**3 - 74 to d + o*j + l*j**3 + v*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -13 + 7. Suppose 0*k - z*k - 89 = 3*b, -2*k - 5*b = 99. Let r = 52 - k. Put 2, -1, r in increasing order.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1269 + -39333\/31. Is s >= 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4037.19 and 4.032.\nAnswer: 4041.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = 45. Suppose -4*s = -3*a - 24, -s = a + 2*s - 5. Does 3 divide a\/(-6) + (-39)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 6:01 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 5*g**2 + 11*g - 412. Does 47 divide y(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62113, 124239, 186365, 248491, 310617, 372743?\nAnswer: 434869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Let h be (-2 + 1)\/((-1)\/u). Let d(r) = 4*r**2 - 2*r. Let q be d(2). Solve h*j + 0*c - 8 = 2*c, -3*c = -4*j + q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 29, 45, 61?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 309 or 308?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 3*v**2 + 5*v**2 + v**2 - 4*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5956231 divided by 43\nAnswer: -138517","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -9d8c?\nAnswer: -9d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7496608 is divided by 120913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 81*s - 11. Let k(j) be the third derivative of 53*j**4\/24 - 7*j**3\/6 + 24*j**2. Let a(p) = 8*k(p) - 5*l(p). Let z(y) = -y. Calculate z(a(i)).\nAnswer: -19*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*(k**(-5\/2)\/k)\/k*k)\/k*k*k**25)**(-4\/15) assuming k is positive.\nAnswer: k**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*w + 1586 = 159 - 6238 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*(0 + 0). Suppose x = -2*w + 19 + 11. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + ((sqrt(24) - sqrt(48)\/sqrt(2))\/sqrt(8) - (sqrt(6)\/sqrt(2) + 4)) + 5 + 1 + sqrt(363) + (sqrt(120)\/sqrt(10))**2.\nAnswer: 10*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1303689 - 3?\nAnswer: 1303686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -26, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (176 - 3))\/((-58)\/(-29)). What is the greatest common factor of i and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + -536?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 207*u + 57. Calculate o(104).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539)*-1)**2 + 2.\nAnswer: 14*sqrt(11) + 542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 + 11*f**2 - 9. Let n(c) = -2*c**3 + 0 - 3*c**2 + 3 - c**2. Suppose -9*l + 9 = -4*k + 35, 2*l - 4 = 0. Determine k*n(v) + 4*h(v).\nAnswer: -2*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 19 in decreasing order.\nAnswer: 19, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -5*u + 0 + 0*u**2 + 0*u**4 - 2\/5*u**6 + 0*u**5 - 1\/3*u**3. What is the second derivative of g(y) wrt y?\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -481.8, 3, -0.2, -2.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 - (4 - (50 - 26))) + 25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 47 - 5) + (22 + -15 - 15 - -4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -70*a**3 - 3*a - 6. Let b(p) = -70*p**3 - 4*p - 7. Calculate 6*b(w) - 7*r(w).\nAnswer: 70*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3026 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1*(0 + -2). Let q be ((-4)\/i)\/((-12)\/(-90)). Suppose 4 = n - q. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135 a factor of 38510275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round -2123933.41 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 10. What is the third smallest value in -1\/13, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 266147973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 114?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61937 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42701 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:54 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, s: 9, u: 4}. What is prob of sequence vsuu?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + z + (3 - 1 + 0)*(1 - 4 + 5)*(36 - 36 - 9*z)*(2 + 0 - 9)*(1 - 2 - 3).\nAnswer: -1007*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11558.7 - -11559. Which is smaller: -14\/13 or c?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/4 - 174*i**4 + 3696*i**3 - 21024*i**2 + 36288*i = 0. What is i?\nAnswer: -252, 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11506)\/12*-1 + (-21)\/(-126). Round c to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350520?\nAnswer: 2, 3, 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(51*k**2 + 64*k**2 - 74*k**5 - 118*k**2 - 9*k**4).\nAnswer: -74*k**5 - 9*k**4 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.184661 from 32154.\nAnswer: 32115.815339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 5, 0.57, -2\/13 in descending order.\nAnswer: 5, 0.57, -2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 135*p**3 + 130*p**2.\nAnswer: 5*p**2*(p + 1)*(p + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20*y**2 - 10*y - 7. Let v(o) = 29*o**2 - 16*o - 11. Let k(f) = -8*n(f) + 5*v(f). Let b(i) = -26*i**2. Calculate b(k(x)).\nAnswer: -5850*x**4 + 780*x**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m - 1 + m**2 - 10 - 5*m. Suppose x = 2*g - 19, g + 4*g - 2 = -x. Let h = x - -13. What is q(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - 1.97. Let x = c - -6. Sort 5, 0.2, x in increasing order.\nAnswer: 0.2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + -52381?\nAnswer: -52328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 23*w. Which is smaller: -2\/27 or w?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + (-2 - -4). Let p = f + 8. Suppose -i = -3*i - 5*t - p, 4*t + 27 = 5*i. Solve 1 = w + i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -181 (b) -6 (c) 2 (d) -2\/13 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322619 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 22)\/(2235\/4470)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1196, 2384, 3570, 4754?\n\"Answer: -q**2 + 1191*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126760 >= 126760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 7) to base 10.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 13, m: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56231223 less than 2080808?\nAnswer: -54150415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from sdldlt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*u + 9. Is u\/(-20)*(-86 - 0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 22*v - 66. Calculate the remainder when 1165 is divided by m(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + 3*c - 4*f, 0 = 5*f + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2552*g**2 - 5105*g**2 - 24366*g**3 + 2553*g**2 + 8936*g**3 - 2*g as s + t*g + d*g**3 + v*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from weweww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + w - w)*(-2 + 3 + 1) + (0*w - 5*w + 3*w)*(0 + 4 - 2).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4064*f + 4070*f. Solve -t - 5 = -2*d, 2*t + 3*d - 6 - 19 = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23154673?\nAnswer: 19, 29, 42023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1258.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2512*h + 0 - 4839*h + 2467*h.\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600047*f*n**2 - 5*f*n - 1959482 wrt n.\nAnswer: 1200094*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22002*k**6 - 29*k**4 + 43*k**2 - 13959 wrt k?\nAnswer: 2640240*k**3 - 696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299245601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 189 - 253 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtxxxtxtxx. What is prob of picking 3 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**4\/24 - 29*q**3\/6 + 318*q**2. Let p(v) = 1. Calculate j(c) + 3*p(c).\nAnswer: c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 61 = -5*v - 17, 4 = 4*g. Solve v*j + 14 = -22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5478, -474, 3, 4, 1, -4.\nAnswer: -5478, -474, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205 = -161*n + 5984 + 6042 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q*q*q**12*q))\/q)\/q)\/q*q)\/(q\/(q\/(q*q**9)))*q**(-1)\/(q*q\/(q*q**(-9)\/q)*q*q) assuming q is positive.\nAnswer: q**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/24 + 7*o**3\/6 - 26*o**2. Determine b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 2*n. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-14)\/21. Let j = 27 - 17. Calculate the remainder when 0 - 1 - (n + -27) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:49 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30039*p**3 - 2*p*x**3 + 286398*x**3 wrt p.\nAnswer: 90117*p**2 - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 14. Suppose -i = 3*b + 1. Sort b, -2\/11, 5 in descending order.\nAnswer: 5, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43688 = -1269*s - 47680 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -13, 3, 1, -50, 0 in descending order.\nAnswer: 82, 3, 1, 0, -13, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5589 in increasing order.\nAnswer: -5, -4, 5589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55039740 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251958730.\nAnswer: 2, 5, 743, 33911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 - 66*m + 99 + 104)*(-3 + 2 + 5).\nAnswer: -264*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 13. Solve -f = -4*f - 9, z = 4*w + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1386165838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - 741\/(-26))*(1 - 1)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32074, 32082, 32100, 32134, 32190, 32274, 32392?\n\"Answer: x**3 - x**2 + 4*x + 32070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32482537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5782 by -31569.\nAnswer: 5782\/31569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -23. Let d be 22\/18 + w\/9. Suppose 11 = 5*p + d. Solve p*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 548 = u + 2*u, 116 = s + u. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/7 + -2*2. What is the units digit of ((1 - 0)*(-676)\/(-4))\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 7*c + 3*c + 1865, 4*c = 5*f - 3119. Suppose 0 = -5*y + f + 897. Let u = y - 178. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -52?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from {w: 2, a: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -10112660112.324.\nAnswer: -10112660111.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.486 - -3.819. Round y to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5*l**2 + 15*l + 5. Give o(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1842013488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 127*y - 75 - 126*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + p**3)*(18*p - 33 + 9 - 22*p).\nAnswer: -4*p**4 - 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from secscfcffffcsci. Give prob of sequence sfis.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - j + 2. Let b(r) be the second derivative of 7*r**3\/6 + 19*r**2\/2 - 11*r. Let s be b(-2). What is n(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)\/sqrt(4)*-1 + 0.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1462.52 + 1462. Let k = -61\/3 + 21. Is b equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111201100110 (base 3) to base 11\nAnswer: -1063756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-3)\/(-12)). Let j be (-2)\/(-6)*3*1. Let u be (p - 2)\/j - -1. Solve 1 + u = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 121110122211011100?\nAnswer: 121110122211011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*b + 73, -4*t - 2*b = -b - 61. Let v = -255\/16 + t. What is the common denominator of -47\/8 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-26 - -12) + 51)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6955 divided by 1\nAnswer: 6955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2 (c) -1 (d) 0.2 (e) -71\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -14 - 18. Let q = -349 + 350. Calculate the highest common divisor of d and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 24*t + 4. Sort -2, 2, t, 1 in descending order.\nAnswer: t, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. What is the units digit of (-49)\/(-14) + l\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 23*o**2 + 8*o - 31. Let a be p(-11). Solve 4*c - r + 2*r = -15, -a*c - 5 = 3*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 56 = -2*m + 66, -5*o = -3*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose -i*o = 2*t + 294, 300 = -2*o - t - 3*t. Let c be (12\/o)\/(320\/(-162) - -2). Are -3 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:19 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9221 is divided by 579.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 - 7. Let w(t) = t**2 + 6*t - 2. Let u be w(-6). Let x = -84 - -250\/3. What is the third smallest value in o, x, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*v + 61 = 6*i, -53 = -3*i - 4*v. Let o(q) = -q**2 + 8*q + 5. Let u be o(8). Solve -u*r + i = -l, -10 = -2*r + l - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 29*c + 146. Determine v(-13).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 698858019, 1397716040, 2096574061?\n\"Answer: 698858021*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10*w = -189. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d - p - 1927, 3*d = -2*p + 2873. List the prime factors of d\/((-20)\/5 - -5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 52. Let h(m) = -2*m**3 + 22*m**2 - 22*m + 25. What is the smallest common multiple of h(10) and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 20.9. Let c = 1 + j. What is the third smallest value in 1, c, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*((p**6*p)\/p)\/p)\/((((p\/(p**(-4\/9)\/p))\/p)\/p)\/p*p))**(3\/2))**(-1\/12))**(-9\/7) assuming p is positive.\nAnswer: p**(25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p**3 - 2*p**2 - 2*p + 2. Determine i(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 3*q**2 + 5*q + 3. Let g = -14872 + 14869. Let t(z) = -z**3 + 4*z**2 - 6*z - 4. Calculate g*t(v) - 4*r(v).\nAnswer: -5*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 + 55\/10. Suppose t*k - k - 20 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392475547?\nAnswer: 3392475547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2. Let i(o) = -o**2 + 11*o - 6. Let g(d) = d - 1. Let p(a) = 6*g(a) - i(a). Let q(r) = r. Let j(f) = p(f) + 5*q(f). Calculate j(y(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2203 - 2202)\/((-24)\/9)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/2 - (-1)\/2. Let n(d) = -5*d**3 - 3*d**2 - 6*d - 4. Does 12 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1217? (a) 0.5 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/20*(-345)\/(-1242))\/((-15)\/(-80)).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 51?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 56.3. Let y = o - -6. Which is the nearest to 2? (a) y (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + -202001112002?\nAnswer: -202001122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 13\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -102059*m - 2959707. What is g(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 20*n**2 + 2*n + 1. Let i(w) = 2*w + 25. Let u be i(-13). Let o be p(u). Differentiate -7*x**3 - o - 658*x**2 + 658*x**2 with respect to x.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from lnnllnnnnlnnnnnl?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -17*(-2)\/(-8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 4*h)*(2*h**3 + 2 - 2) + 2*h**4 + 2*h**4 - 3*h**4.\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.3 (b) -0.02 (c) -78258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9064*s - 13707. What is z(-2)?\nAnswer: 4421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 923901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z**2 + 3*z + 3. Let u(p) = -p**2. Let n(q) = -i(q) + 6*u(q). Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(153) - sqrt(187)\/sqrt(99) - (sqrt(102)\/(sqrt(6)*4)*5)**2.\nAnswer: -425\/16 + 17*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*i - 924*i + 2960 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:03 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87*(3\/27 + (-492)\/(-108)). What is the greatest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 999\nAnswer: -10\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-3)\/9*22. Let g be (-4)\/6 + 134\/(-6). Let n = g + v. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1600, -1587, -1574, -1561, -1548?\n\"Answer: 13*c - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 26*o\/11 - 136\/11.\nAnswer: 2*(o - 4)*(o + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*m - 20 = -4*g, g = -3*m - 10. Let p(y) = y + g*y**2 + 5*y - 5 + 2. Is 17 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -2.11\nAnswer: -23.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -187*q - 108. Determine d(-2).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14328 + -143159\/10. Find the common denominator of 23\/50 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbbeccbbeensn. What is prob of picking 1 s, 2 b, and 1 c?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -243.5.\nAnswer: 121.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -1218.3\nAnswer: -41422.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/24 and 101\/17384.\nAnswer: 52152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 892155 divided by 5?\nAnswer: 178431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 3*l - 1. Let d be x(-2). Let z = d + 15. Suppose -z*a = -3*a - 185. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 9*l**2 + 10*l - 10. Let x be h(8). Suppose -t - x = -2*t. Solve -d = -3*o - t, 3*o = 5*d - 29 + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12676 (base 8) to base 7\nAnswer: 22141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g**4 + 6992*g**3 - 383682*g**2 + 190532*g - 23762 = 0 for g.\nAnswer: 1\/4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Let c(v) = -1104*v. Calculate i(c(f)).\nAnswer: 3656448*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Let y = -2 + a. Suppose -y*l + 156 = -56. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 - -90.53. Let s = x + -89.8. Which is the smallest value? (a) s (b) -5 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 8. Let m(z) = -7*z + 8. Let r(w) = -6*j(w) - 5*m(w). What is r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Suppose -2*g = g - 15. Suppose 9 = 2*s - 1. Let z(t) = t**2 - g + s. What is i(z(o))?\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273729068 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -170*i**2 - 8*i - 16. Let q(n) = -61*n**2 - 3*n - 6. Let g(w) = -4*j(w) + 11*q(w). What is g(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 5) to base 7\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 4*a**2 + 4. Let k be p(-4). Suppose 0 = 4*q - 2*h - 22, -k*q + 0*h - h = -13. Calculate the lowest common multiple of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*x + 8*c - 4, -10 = -5*x - 2*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - i - 4 = -4*i, -4 = -2*t - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-536)\/12)\/(4\/(-54)). Is 4\/(-6)*u\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908344263 - 908344263 - 118*s**2.\nAnswer: -118*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 895 + 9*y - 898 - 10*y)*(-3*y**3 - y**3 + 2*y**3).\nAnswer: 14*y**5 + 2*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 8 - 17 + 0 - 6 + 4 + 4 - 2 - 4 + (1 - 1 - 2)*(2 + 1 - 2))*(39 - 39 + 14*t).\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/5 + 9276*q**3\/5 - 5354472*q**2\/5 - 27060656*q\/5 + 32405856\/5 = 0 for q.\nAnswer: -6, 1, 1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.1. Let n = f - 0. Let j be 3\/24*(-5 - -6). Which is the third biggest value? (a) n (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 866494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 + -0.07. Let n = s + -0.1. Let l = -0.61 - n. Round l to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - p**2 + 3)*(1 - 2 - 1) - 3 + 11*p**2 + 3.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - h - 8, 7 = -c + 2*c - 2*h. Sort -5, 4, -4, c in descending order.\nAnswer: 4, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(243))**2 + -1*((sqrt(243) - sqrt(243)*2)**2 + sqrt(243)) + -6*(sqrt(243) + -1 + sqrt(243) + -2)**2.\nAnswer: -6615 + 639*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26802?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.1. Let s = 2445 - 2441. What is the smallest value in b, s, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 + 16*g. Let r(d) = 12*d**2 + 16*d. Let v(q) = 3*n(q) - 4*r(q). What is the second derivative of v(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(21\/84)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -879.96 + 853. Let w = -27 - r. Let c = 0.03999988 + w. Round c to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6834.4266 + -276160.\nAnswer: -269325.5734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/17)\/(1\/2*-2). Suppose -5*q = 10 - t. Let p(i) = 7*i + 3. Let d(s) = 22*s + 10. Calculate q*d(w) + 7*p(w).\nAnswer: 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36711 and 0.2914?\nAnswer: 36711.2914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:05 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997965 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:47 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 288, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 378. Let c = -256.99527 + y. Round c to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y - 17. Let o(w) = -3*w + 9. Let k(l) = 2*f(l) + 5*o(l). Does 3 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3065 or -3069?\nAnswer: -3069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*p = 2*p - 5, 2*c + 14 = -2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19039526*b**4 - 11159318 wrt b.\nAnswer: 76158104*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + v**2 + (v + 3*v - 6*v)*(-2*v + 3*v + v))*(7 - 5 + 2).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(52) + sqrt(13) + sqrt(13) + 5 + sqrt(26)\/((sqrt(64) - sqrt(16))\/sqrt(8)))**2)*-4.\nAnswer: -1564 - 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1200 and 10148700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 10*z + 20*z)*(4 + 5 - 10 - 2*z).\nAnswer: -70*z**2 - 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 2\/15, 515, 3 in ascending order.\nAnswer: 2\/15, 3, 163, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -73\/10 (b) 2\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 505004 greater than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {c: 6, x: 5, r: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 300.9 + -300.7. Let r = -12.6 - -15. Is r at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934901 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onqs when four letters picked without replacement from nhsnqnsosno?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Let a(f) = 24*f - 6. Let b be a(r). Suppose -4*v = c - b, -5*c + 190 = 5*v + 40. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:38 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8049900 rounded to the nearest one hundred thousand?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (638\/891)\/((-36)\/(-54))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5073 and 356.\nAnswer: 20292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:12 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1819154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.15 (b) 13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-140))\/((-143)\/715). Let n be (40\/35)\/(1\/2). Factor a*x + n - 4\/7*x**2.\nAnswer: -4*(x - 4)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 8*w + 12. Let n be j(3). Calculate the greatest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a - 40*a + 20*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/13 - 612*x**3\/13 + 26304*x**2\/13 + 6681764*x\/13 - 539984130\/13 = 0?\nAnswer: -105, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**2. Suppose 3*k - 10 = -2*k. What is the least common multiple of t(1) and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 2*t**2 + t. Let f be l(-2). Let x = f + 22. Solve -2*b - 5*w = -0*w + 28, 5*b + x = -2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 15. Suppose -r + 5*v = -s, 3*r - 31 = 5*v - 2. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -69*w**3 - 36*w**2 - 7*w + 19. List the prime factors of k(-4).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 4*r - 7 = 0. Let c(y) = -51*y**2 - 93*y. Let u(p) = p**2. Let k(o) = r*c(o) + 2*u(o). Find the second derivative of k(t) wrt t.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (156*c + 8159 - 8159 - 2*c + c - c + (0*c + 5*c - 3*c)*(1 - 3 + 0) - 2 + 2 - 2*c)*(-3*c**2 - c**2 + 2*c**2) to p*c**3 + r*c + s*c**2 + d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -26. Suppose -2*w - 42 = -2*t + 2*w, 2*t = 3*w + 37. Calculate the remainder when f is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/11 - -1) + -2. Let l = -95.71 - -96.71. Which is the nearest to l? (a) p (b) 0.2 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*f**2 - 37*f**2 - 41*f**2 - 39*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l - 11. Let r(z) = 4*z + 0*z + 0*z - 6 + 3*z. Let m(q) = 6*c(q) - 11*r(q). Let o be m(6). Calculate the greatest common divisor of 18 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31796913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from ovolndoolulo?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -187045, -187044, -187043?\n\"Answer: z - 187046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15309972?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 - 5*k**4\/8 - 3*k**3\/2 - 51*k**2. Let j be (-192)\/14 + 2\/(-7). Let u be r(j). Solve 0 = -0*i - u*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -627*f**4\/8 + 1309*f**3\/6 - f**2 + 43*f + 5. Differentiate q(l) wrt l.\nAnswer: -1881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 433, -546, -1515, -2474?\n\"Answer: 5*p**2 - 994*p + 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*((sqrt(2) - (-1 + sqrt(2))) + 1))**2*-5.\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11744 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 98*s**2 - 206*s - 560. Determine k(-100).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 168, 170?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = y - 12, 0 = -4*s + 8. Suppose 0*n + y = -n. Is 3 a factor of n\/12*(-8 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*i - 9 = 0, -4*u - 53*i + 11 = -52*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.2345965 and 1899?\nAnswer: 1880.7654035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c - 7. Let h be n(5). Suppose -2*y = y - 81. Let z = h + y. Solve i = 6*i + z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let d(r) = 3 + z + 26*r - 21*r. Is 11 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589293 is divided by 1294637?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 68 - 44. Suppose -4*r + 505 = -3*u, 2*r - 5*u = f + 235. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 237 and 632.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*v - 16, -3*c + 3006*v + 11 = 3007*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195572)\/(-3770) + -52)\/(3\/(-10)).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/2*(-129)\/(-86)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8 - 2*f + 2*f + f. Let s be r(-5). Let u(w) = -s + 3 + w**2. Let m(x) = -x. Give u(m(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 92 = -123 + 226 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0865 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5339 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376100782.\nAnswer: 2, 19, 37, 267497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 32 - (-2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + 5*y - 2. Let k be n(-6). Let m(i) = -39*i - 39*i + 76*i + 5*i**2. Let r(u) = -9*u**2 + 4*u. Calculate k*r(j) + 7*m(j).\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*l - 2 = 0, -i + l + 14 = 2*i. Suppose -s + 2*p = -2*p - i, 4 = -4*p. Solve -3*t - y - 25 = -3*y, s = 2*t - 2*y + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -52 - (-10 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 10*r - 12. Suppose r*i + 1 = 10. Suppose -i*g = -0*g - 435. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -19, 0.2, 3\/328?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 4, z: 2}. What is prob of sequence vb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398 - 374. What is the closest to b in 2, 1, 2\/13, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 24*o + 52. Determine c(-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/5 of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 234627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -140. Let q(h) = 2*h**2 + 6*h. Calculate q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24875248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1614*j - 173. What is the remainder when f(2) is divided by 235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15036 (base 11) to base 5.\nAnswer: 1140320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + r = 3, 3*w = r - 6 + 1. Let x(t) = -2*t - 1. What is x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6 + j + 2 + 0*j + 2. Calculate the lowest common multiple of 11 and h(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*g - 39*g + 58*g - 2 + 0 + 3*g + 0 + (-2 + 1 - 1)*(-g - 5 + 5) to the form f*g + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 2, i: 2, f: 1, b: 1, t: 1}. What is prob of sequence ib?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 9, -37.1, -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.072063 - -0.072. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - w + 10*w + 3 to the form z*w + b and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 - -280.95. Let j = m + 0.05. Let q = j + -2. Which is the second smallest value? (a) q (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1741585128 and 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 4. Let w be 69\/4 - (-3)\/(-12). Let x(g) = -4*g + 16*g + w - 17*g. Calculate 2*x(f) - 9*z(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12869, 12868, 12867, 12866, 12865, 12864?\n\"Answer: -x + 12870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2288*f + 14026. Let k(n) = -3435*n - 21040. Let s(u) = 7*g(u) + 5*k(u). What is the derivative of s(w) wrt w?\nAnswer: -1159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 35. Let l = -40 + b. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 - 8*n + 20. Suppose -7*v = -3*v - 8. What is the remainder when w(v) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 less than 0.4145559695?\nAnswer: -805.5854440305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8693770 and 4370?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-8 + -6 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a**3 + 0 - 7\/12*a**4 - 1\/10*a**5 + 0*a + 21*a**2. Find the second derivative of m(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4896467 nanograms?\nAnswer: 0.0000000000004896467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/7)*i**(-2\/27)\/i)\/(i*i**4\/i)**(-2\/79) assuming i is positive.\nAnswer: i**(2539\/14931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996966547 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*(-60)\/(-15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -56*n + 1000. What is u(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004351092 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.048541?\nAnswer: -2.048541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l\/l**(2\/7))\/l))\/((l*(l\/l**(-2\/9))\/l)\/l*l) assuming l is positive.\nAnswer: l**(-122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 660964 divided by 330482\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/48624 and -5\/28.\nAnswer: 340368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-9))\/f)\/f**(5\/2) assuming f is positive.\nAnswer: f**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*d + 201 + 192 = -1122 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 8*g**2 + 17*g - 80. What is h(-11)?\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 34 + 36. Suppose -5*j - 4*a + 3*a = 885, v*j + a = -357. Let n = -115 - j. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27*c**2 - c + 538. What are the prime factors of n(38)?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 82*f**3 - 9*f**2 + 25*f - 45. What is the remainder when s(3) is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 136668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, -1.2, 0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -0.0083382 (c) 4\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let p(d) = -2*d**2 - 10*d + 10. Let b(j) = -10*c(j) + p(j). Let a(u) = 32*u**2. Calculate a(b(z)).\nAnswer: 128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -99\/4, 2\/51, -1, -5 in decreasing order.\nAnswer: 1\/2, 2\/51, -1, -5, -99\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -87*n + 708. Calculate j(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13196 by 4.\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022776 to 6 decimal places.\nAnswer: 0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 35*u - 30*u = -55, 4*j - 99 = 3*u + 6*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*y + 178, 4*y + 168 = -y + k. Suppose 4*p = t + 228, 0*p - 4*t + 264 = 5*p. Let d = y + p. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1028 and 16?\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/2507 and -54\/2507.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4, -3*a = 65*f - 62*f - 1404. Let c = -290 + f. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 3646608*n - 3646603*n + 95, -4*n - 8 = 4*i - 52 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50843 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586*-4.6.\nAnswer: -2695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4008c (base 13) to base 12.\nAnswer: -56220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34544213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2174 + 7.7574. Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*3*-1.\nAnswer: -33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 2*k + 2*k)*(-14 + 1619*k - 1603*k - 16) + k**2 - k**2 - k**3 + (-3*k - 2*k**2 + 3*k)*(0 + 2*k + 0) to x + v*k**3 + d*k**2 + r*k and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5316*(4\/(-9))\/(-1)*(-9)\/6?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4635953 divided by 7\nAnswer: -662279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1330 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 7*c**2 - 9*c + 10. Let j be o(8). Let a be 10\/6*(-3)\/j. Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/((-630)\/889)*-635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/59 - 182\/295. Let w(s) = -s**3 - 8*s**2 - 8*s + 4. Let c be w(-6). Suppose -7 = 3*q - 5*g + 33, -3*g = 4*q + 5. Sort c, q, j in descending order.\nAnswer: j, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.05 + -0.05. Let p = -0.04 + 2.04. Let l = v - p. What is the closest to -0.1 in -1, -4, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*t - 915 + 2583 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p - 2*p**2)*(2 + 0 - 1)*(-2*p + 4*p + 0*p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11640315.404999605 - 11640315. Let a = r + -0.405. What is a rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**5\/7 - 8*h**4 - 124*h**3\/7 - 64*h**2\/7 = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 1, u: 2, s: 4}. Give prob of sequence ux.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-11)\/9 + 110\/414. Let y = -0.714 - -1.714. What is the nearest to -0.1 in y, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/5, 2\/107, 107, 1.3.\nAnswer: -4\/5, 2\/107, 0.5, 1.3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 9. Let d be w(-7). Let v be 0*d\/(6 - 2). Let i = 4654 - 4649. Solve r - 3*p - 10 = -v*r, i*r = 5*p + 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 + v**2 + 5*v - 1. Is n(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2.29.\nAnswer: -2.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 954277956 to the power of 1\/3, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 2*z + 468 - 125 - 172.\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 take away 0.06?\nAnswer: 553.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11 = 76. Suppose -3*z = -9*z + 330. Suppose -58 = -c + z. What is the remainder when c is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 764?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 476334096 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001093844 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0\/(s*s**12))\/(s*s*s\/s**5*s**0*s))**(7\/5))**(1\/8) assuming s is positive.\nAnswer: s**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1)*-1 + 2*sqrt(325)*2.\nAnswer: -1 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*l - 202*d - 18*l**2 wrt l?\nAnswer: 2*d - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 28, -485600 in decreasing order.\nAnswer: 28, -27, -485600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24723 - 4700950\nAnswer: -4725673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times -21.3?\nAnswer: -3812.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048337 rounded to 3 decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 28?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3401*w - 3141. What is z(1)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223191840.\nAnswer: 2, 5, 13894949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from gjjax.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(38\/(-24) + (-3)\/(-12)). What is the second derivative of 1 - k*r**2 + 25*r + 7*r**3 - 50*r + 14*r wrt r?\nAnswer: 42*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178293223 to the power of 1\/2, to the nearest integer?\nAnswer: 13353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 44*g = -114, 0*g + 34 - 1 = -4*l - 3*g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85467225 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -88\/7 - 38\/7*t**2 + 128\/7*t - 2\/7*t**3 = 0?\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 11. Suppose 0 = 98*k - 162 + 358. Let n(l) = -3*l - 2. Determine k*f(a) + 11*n(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 - n. Let b(w) = -w**2 - w + 1. What is b(s) - y(s)?\nAnswer: -12*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*m - 3*m**2 + m**2 + 3*m**2 + m**2 to b*m + y + a*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -13*m. Solve 4*d - 3*d = -m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 846878\/2705 + 282\/541. Which is smaller: m or 315?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/2 - 11*r**3 - 363*r**2\/2 - 740*r - 850 = 0.\nAnswer: -5, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13639 is divided by 2561?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 68, 163, 308, 509?\n\"Answer: x**3 + 16*x**2 - 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 44. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4\/8 + 785757*i**3\/8 - 1571547*i**2\/2 + 3928893*i\/2 - 1571562 = 0.\nAnswer: -261927, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 9*z + 1. Calculate d(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 1 - 116810*d**3 + 116806*d**3 + 0*d + d**2 in the form c*d**3 + g + j*d + u*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 31*q - 15. Determine t(-30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -2*o - 30*b, -1573*b = o - 1574*b + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6368 = -5*p - 2151, -3*v + 2529 = 3*p. Suppose -2*f + 5*g + p = 2*f, 3*f + 4*g - 664 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*b**3 + 3*b**3 - 9*b**3)*(2*b + 0*b - 3*b) - 350*b - 33*b**4 + 350*b in the form t*b**4 + o*b + d + s*b**2 + v*b**3 and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j + 18. Let u be j\/(-2) - 1\/1. Find the third derivative of -2*c**6 + c**u - 2*c**2 + c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 2. Let z be 16\/(-12)*(-3)\/(-2). Calculate f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0*w*w**(-2\/7))**(2\/41)*(w\/(w\/(w*w\/(w**1*w))))**(5\/4)\/(w**(-3\/10)\/w**5) assuming w is positive.\nAnswer: w**(15451\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555881 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14801\/(-665) - -22) + 2\/(-28)*2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -810987.88 rounded to the nearest 100?\nAnswer: -811000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 20. Suppose 2*g - 6*g = -3*p + 27, 5*p + t*g = 45. Is p > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50448.\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 792*o**2 + 396*o - 3241. What is the thousands digit of x(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(12\/27))\/(-3). Let g = 5.899 + -5.699. Let b = -0.3 - -0.1. What is the nearest to 2\/5 in b, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o. Let k(w) = 3*w**2 - 9*w - 15. Let q(z) = 2*d(z) + k(z). Let a be (-1 - 8)*(-8)\/6. Is q(a) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**8\/112 + x**7\/14 - 3*x**6\/40 - 9*x**5\/20 + 114*x**2. Factor y(u).\nAnswer: -3*u**2*(u - 3)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61090 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170233.\nAnswer: 7, 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))\/(c*c\/(c*c\/c**4))*(c**0*c*c)**(-3\/8))\/((c*c*c**(-1\/3)*c)**(1\/18)*c*c**(-6)*c\/(c**(2\/5)*c*c)) assuming c is positive.\nAnswer: c**(811\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -588*r**3 + 1. Let l be g(-1). Suppose 5*q - 2586 - l = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479432 is divided by 253?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 14 = -w, 4*w + 4*h - 9752 = -9760 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(468)*-2 + (sqrt(13) + sqrt(52)\/(sqrt(16)\/sqrt(4)))*3)**2.\nAnswer: -91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxcxxxxxxxwvwxxcxx. What is prob of sequence cc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.861154.\nAnswer: 1.861154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1500 + 216?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11427, -14578, -17729, -20880, -24031, -27182?\n\"Answer: -3151*f - 8276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3397 - 3341 = 28*h. Solve 4*t + 0 = 16, -h*d + 2*t - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 3*w + 3*w)*(-8*w - 54*w - 28*w) + 8*w**2 - 3*w**2 - w**2)*(w + 2*w - w).\nAnswer: 188*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n**2 + 23*n**2 - 116*n**2)*(3 - 5 + 4) + (-17*n + 29*n + 32*n)*(3 + 2*n - 3).\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (-23 - -46) - 4\/(-12)*7*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m. Let y(i) = i. Let p(t) = 2*k(t) - 9*y(t). Let w(a) = 3. Give 2*p(c) + w(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 523311*t + 20927640.\nAnswer: 3*(t + 40)*(t + 174397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1, -4, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-27299)\/(-6) - (-108)\/648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241689 - 242298 = -29*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 103\/9153416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 11*x**2 + 12*x + 19. Is g(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - r**2 + 0*r**2)*(-3*r + 2*r - 2*r) - 2*r**3 + 0*r**3 + 0*r**3.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -45, 450, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 131664?\nAnswer: -131665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = -3*l - 2*o - 11, -o + 3 - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6*o + 38652 = 38540, 5*o - 150 = 5*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + -72. Let n(r) = -r**3 - r**2 + r + 11. Let a be n(0). What is the highest common factor of l and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/41, 0.2, -2, 3?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 510926, -0.4 in decreasing order.\nAnswer: 510926, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2735 by 547.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 18, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.7 + -32. What is the third smallest value in -3, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/(x**2\/x))\/(x*x*x**(-1))**(-1\/17) assuming x is positive.\nAnswer: x**(86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -124799.\nAnswer: 3\/124799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*y + 34 = -2*r + 9, -3*y = -6*y - 6 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:11 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 4000 - 2*o + o - o. Let r be k(0). What is r rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10350, 10339, 10328?\n\"Answer: -11*y + 10361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4863992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 3*r. Suppose 0 = 5*f - 2*q + 31, 490*q - 495*q = -f - 20. Sort 2, f, r, -1.\nAnswer: f, -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmjojjojomojmjm. Give prob of sequence mm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1669 + -1668.9. Which is the second smallest value? (a) 3 (b) -1\/16 (c) 4 (d) 11 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 + 418*u**3 + 6*u**2 + 39*u.\nAnswer: -120*u**2 + 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-29)*a**34)\/(a**(-19))**(-2) assuming a is positive.\nAnswer: a**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -81, -190, -353, -588, -913, -1346?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-8 + 16 - -44) + -2 + 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c - 9172. Let q = c - -9215. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*o - 2*y + 7*y, 0 = -o + 5*y + 2. Suppose -3*b + 245 = 2*m, -m = 4*b - 55 - 80. Suppose -m = -o*z + 2*z. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5250 - -5998. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g. Let d(x) be the first derivative of -2*x**3\/3 + 6. Calculate c(d(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598098 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11732\/719 > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (sqrt(189)\/sqrt(7))\/sqrt(9) + -2)**2.\nAnswer: -18*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/8 + 18*c - 69\/2 = 0. What is c?\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, s: 2}. Give prob of picking 2 s and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211 and 261007.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*k - 314 + 35*k + 40*k - 112*k as v*k + n and give n.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8591 = 8*j - 3*j - 2*p, 2*j - 3428 = -2*p. Calculate the remainder when 3466 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -977*l**3\/3 - 809*l**2\/3 + 56*l = 0?\nAnswer: -1, 0, 168\/977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 15*y - 47. What is r(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(11\/((-88)\/24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865052?\nAnswer: 2, 3, 7, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -108 + (28 + -117 - -103)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1173 - -1918. List the prime factors of k.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6634 - -0.6637486. What is f rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a - 3. What is m(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 12, -27*q - 22 = -5*u - 83 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1306 (b) 0 (c) 0.1 (d) 90 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/5 - 608412*z**2\/5 + 1216833*z\/5 - 608418\/5 = 0.\nAnswer: -202806, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f - 2. Let d(k) = 772384*k**2 + 2*k + 2. What is r(d(n))?\nAnswer: 10040992*n**2 + 26*n + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 8\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/6 + 2\/(-4). Suppose -25 = 2*w - 3*y - 6, 15 = 5*w + l*y. What is the remainder when 36 is divided by w\/(-5) + 252\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -316 in descending order.\nAnswer: 3, 1, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 1, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46*38*(-1)\/(-8)*(-26)\/(-247)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8314 + 8336. Let y(z) = 16*z + 1. Let q(v) = -32*v - 2. Let h(i) = -3*q(i) - 7*y(i). What is the remainder when h(-4) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170126532679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -65374*d**2 + 2*d - 2*d + 61420*d**2 as r*d**2 + b + q*d and give r.\nAnswer: -3954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.8 or 125\/43?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joo. What is prob of sequence jo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + d**2 - 38*d + 6. Suppose 0 = 2*c - 18 + 6. What is the tens digit of z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177940 divided by 12710?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -1094*z + 1096*z + 10, 3*z + a + 11 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, s = 3*r - 0*r + 9. Let l be (-4 + -1 - 0)*r. Suppose -2*v = -5*z + l - 37, 8 = -2*z. Solve 4 = -5*i - v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 34, -2\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/2 - 3*h**2 - 8. What is the second derivative of u(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 1 (c) 2\/5 (d) -1\/5 (e) 2\/49 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -7, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - x = 14, 548*d - 550*d - 4*x + 58 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3101, -62, 1.\nAnswer: -62, 1, 3101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 15. Suppose 0 = v, 0 = 4*p + v + 3 + 5. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -830, -860, -938, -1088, -1334, -1700, -2210, -2888?\n\"Answer: -4*z**3 - 2*z - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -5. Let d(t) = -t**2 - 4*t + 6. Let a be d(v). Factor -a - 1 + h**3 - 5*h**3 + 6*h - 4*h**3.\nAnswer: -2*(h + 1)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(h - 4*h**5 - h) + 0*h**4 + 0*h**4 + 2*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 10. Let k be ((-10)\/(-4))\/(u\/(-2)). Differentiate -s - 4 + k + 3*s + 0 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j. What is the tens digit of (-22 + j)*(-5)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3 - 3, 31 = v + 4*y. What is the remainder when ((42\/12)\/((-2)\/56))\/(0 - 2) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27066 by -4.\nAnswer: 13533\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3 - 8*g**2 - 19*g - 15. Let h(c) = 15*c**2 - 81*c - 96. Let i(z) = -4*h(z) + 21*x(z). Factor i(y).\nAnswer: 3*(y - 5)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28150654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times 915232?\nAnswer: -2013510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*494\/(-780)*-5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/306*27)\/(14*(-4)\/16). Which is the fourth biggest value? (a) 2 (b) 23\/5 (c) s (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 710.6 + -711. What is the smallest value in -1, z, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -217. Let j = 13 + -8. Suppose 61 + 19 = j*o. What is the remainder when n is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.149, 0.5, 4, 1\/4, 1?\nAnswer: 1.149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 19*v + 97. Let m be q(8). Solve 3*p = z + m, -z + p = 2 + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = 4*t, -2*t = -6*t + z - 3. Suppose t*m + 24 = -4*m. Let f(s) = 5*s**2 + 6*s. Let q(l) = 9*l**2 + 11*l. Determine m*q(u) + 11*f(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 808629 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -122, -86, -38, 28, 118?\n\"Answer: c**3 + 29*c - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(40)\/sqrt(2))\/sqrt(4)))\/((sqrt(14) - -2*sqrt(14)*-1)\/sqrt(7)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82 - -3?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 59 = -67, -4*i + 15*q = 18*q - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/11 (c) -2\/5 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -5, 5\/2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/4 and 5\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30225 + -29180. Is z less than or equal to 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44702, 44686, 44682, 44696, 44734, 44802, 44906?\n\"Answer: s**3 - 23*s + 44724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f + 17. Let y be m(0). Suppose 2*b + 2*b + y = -5*g, 4*g + 10 = -5*b. Suppose -38 = -b*l + 34. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*s - 4*o + 73, -o + 4 = 0. Let y(w) = 5*w + 28. Let a be y(s). What is the common denominator of 6 + -3 + 111\/a + -2 and -89\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -2 - ((2 - (-18 + 26)) + 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -82, -105, -110, -91, -42, 43, 170?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 7*z + 7. Let s(n) = n**2 + 5*n - 2. Let m be s(-4). Let w be p(m). Which is the closest to w? (a) -2 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126530 - 169185 = -2485*k for k.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, 450 in ascending order.\nAnswer: -1, 1, 2, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105690.\nAnswer: 2, 3, 5, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8541 + -7693. Which is the second smallest value? (a) 4 (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5\/12))\/r*r)\/r*r**(-1)*r**(-12\/5)*r*r**(-17) assuming r is positive.\nAnswer: r**(-1189\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 9*w + 6. Determine m(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1 + sqrt(128) + 0 - (sqrt(128) + (-1 + sqrt(128) - sqrt(128))*3))**2*5.\nAnswer: 160*sqrt(2) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 - 5 - r + 4 + 2*r. Let v be o(4). What is the greatest common factor of v and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let b be (-3)\/(-6) - 2\/(-4). Let k(j) be the third derivative of j**4\/12 - j**3\/2 - 160*j**2. Determine b*k(g) - 3*t(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (120 - (36 + 1)) + (1 + -6 - -3) + 18\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = 76 - 112 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 109 = 155. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932 - 4631 + 924 + 922 + 925 + 928 + 53*i**3.\nAnswer: 53*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 220, 216, 210, 202, 192, 180?\n\"Answer: -z**2 - z + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 479980 = 5*v, 0*y - 3*y + v - 359996 = 0. What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104334*c**3 + 4251*c**3 - 11*c**2 + 11*c**2.\nAnswer: -100083*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8183 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**2 - 70*g - 55.\nAnswer: -5*(g + 1)*(3*g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.5 + 36. Let w = l + 6.2. Let v(z) = -z**3 + z - 2. Let g be v(-2). Which is the third biggest value? (a) w (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 510826*n**3\/7 - 1021646*n**2\/7 + 510822*n\/7 = 0. What is n?\nAnswer: 0, 1, 255411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 3. Let n be p(9). Let s be 6\/39 - n\/(-13). Suppose 9 = 4*q - 11. Solve o + 6 = s*j, q*o - 3*j + 8*j + 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 b when three letters picked without replacement from {k: 3, b: 7, w: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -12\/7, -5, 4, 2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/71, 0, -15?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t - t**2 - 1 + 11 + 6 - 4. Let g be m(-11). Let y(l) = 42*l**3 + l - 1. Let n be y(g). What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 16*g - 28. Is ((-1)\/(-2) - g)\/((-2)\/1324) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 779, 1505, 2223, 2927, 3611, 4269, 4895?\n\"Answer: -g**3 + 2*g**2 + 727*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32 + 0.51.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21534*n = 21553*n - 323 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32284 divided by -4?\nAnswer: 8071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 31698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1607208833987\/3190 + -503827216. Let l = 106\/145 - g. What is the common denominator of l and -97\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -835\/3 + 279. Suppose -2\/3*o**2 + 0*o - i*o**3 + 0 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, -3\/187, -0.137?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-2 - (9 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 24 - 14 - -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 81*b - 38. Calculate i(40).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 747599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 26. Let z be c(-5). Let n be 10\/(-2) + (150\/(-45))\/((-3)\/9). Solve 0 = -n*a - z - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -17830*c + 20. Suppose 3*u + 6 = 2*u. Let f be b(u). Round f to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b + 11. Let c(t) = -3*t + 19. Let i be c(10). Let g(m) = 5*m + 4. Let q(n) = i*g(n) + 4*l(n). Determine q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53625343 divided by -3?\nAnswer: 53625343\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-7)\/(21\/(-2)). Suppose -j*a + 38500000 = 3*a. What is a rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 28705695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 30*o - 113. Let j(v) = -15*v**2 - 165*v - 565. Calculate 2*j(l) - 11*m(l).\nAnswer: 3*l**2 + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 17. Let d be t(-4). Find g, given that -5 - 10 + 5*g + 3*g**2 - 2*g - d*g = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521 - 1427 = 737*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6671 to the nearest 100.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9643\/12 + 802. Let s = 102 + -163. Calculate the common denominator of s*(-5)\/360*3 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 6. Let p(i) = -3*i - 1. Let d(j) = 10*j + 4. Let l(z) = 2*d(z) + 7*p(z). Give -6*l(g) - s(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-27) + 66768\/69336?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 2\/5, 12, -5, -1\/5 in increasing order.\nAnswer: -5, -1\/5, 0.01, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/145)\/((18\/3)\/(-60))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1761499257?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56123 divided by -1.\nAnswer: -56123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-160))\/((-6)\/(-10))*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 28*p + 6*p**3 + 28*p.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (852\/(-10))\/(2\/40). Calculate the common denominator of (6\/9)\/((-128)\/x) and 2\/(-2)*(-98)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:36 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*u + 10, -2*i + 4*u - 3 = -7*i. Let r be (0 - -1)*1\/i. What is the units digit of r\/(-2*(-2)\/(-132))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3681528728 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*x + 74 = 19, 92 = 3*k + 2*x. What is the highest common factor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5757*c**2. Let h(n) = -19*n. What is p(h(s))?\nAnswer: 2078277*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 4, 26, -609 in decreasing order.\nAnswer: 26, 4, -30, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/26960 and -149\/24636.\nAnswer: 166046640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304057, 608121, 912185, 1216249?\nAnswer: 1520313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4213 + 2308 = -607*l - 1370 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -34*g - 4. Let o be x(-1). Let b = -107 + 182. Suppose -2*h = -h - b. Calculate the highest common factor of o and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 - 9*m + 2. Let s be f(8). Let k be (14\/s)\/(2\/(-48)). What is the highest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 327*r**2 - 36*r + 90. Is o(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 14186?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 355, 661, 1051, 1519, 2059, 2665, 3331?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 3)*(168857 - 168857 + 96*l).\nAnswer: 864*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19001?\nAnswer: 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -45*l**2 - 67034*l - 110103. Give p(-1488).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - t = -9, -18*y - t - 3 = -21*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*v + 0 - 1\/5*v**2.\nAnswer: -v*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsjsjjjjs. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/420 - q**6\/120 + q**2\/2 + 6*q. Let r(p) be the first derivative of i(p). Factor r(m).\nAnswer: -m**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/72 - (-8)\/48.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6*((-9)\/(-3) + -4))\/(60\/200). Put 8, 0, k, 3, -2 in decreasing order.\nAnswer: k, 8, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z - 1. Let b(v) = 8*v**2 + 5*v - 5. Let j(f) = 4*b(f) - 20*y(f). Let g(l) = l. Calculate j(g(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5196.2 and 93.\nAnswer: 5289.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.1 (b) 0.2 (c) -37 (d) 6 (e) 732\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -31\/26, 4, -22, -4?\nAnswer: -31\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g**4)*(17 + 13 - 40).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*v**2 + 541*v**2 - 462*v**2 - 795*v**2.\nAnswer: -1504*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 + 136819131418\nAnswer: 136819131417.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 3*w**2 + 38*w + 1. Let p be d(6). Let y = -514 + p. Calculate the least common multiple of y and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 0.3. Let i = -20 - -3.9. Let f = i + 16. Which is the smallest value? (a) f (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 289, 404, 565, 772, 1025, 1324?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 2*p + 6 = 0, -3*d + 6 = -p. Suppose -20 = 4*x, d*w - 87 = -4*x - 14. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 451 = 6*g - 28*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 3. Let d be h(3). Suppose -2*o - 5*n + 33 = d, -2*n + 51 = 2*o + 3*o. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ett when three letters picked without replacement from tetttttttete.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249*x + 14*x**2 + 230*x - 38*x**2)*(2 - 2 - x**2) + x**4 - 3*x + 3*x.\nAnswer: 25*x**4 + 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = 27. What is the tens digit of ((-258)\/l)\/(68\/(-24) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722 + 358 - 52*l**3 + 364 - 34*l**2.\nAnswer: -52*l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13. Suppose -3*r = -5 - 4, 3*i - 21 = -4*r. Solve 3*b - 5*b - 4*x + 28 = k, -1 = -4*b + i*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*q**5 + 2*q**4 + 17484*q**3 - 3444060*q**2 wrt q?\nAnswer: -1320*q**2 + 48*q + 104904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:07 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3447*t**2 + 5271. Let i(r) = -10338*r**2 + 15814. Let x(p) = -5*i(p) + 16*k(p). Differentiate x(z) with respect to z.\nAnswer: -6924*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, -5, 7 in decreasing order.\nAnswer: 25, 7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 19. Let d be o(3). Calculate the greatest common factor of d and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose -f - 5*n = 17, -q*f + 9*f = -3*n + 3. Let p be f\/5 - 1\/1. Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -18. Let z = -10 + b. What is the nearest to 1 in 0, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:06 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/7))**(-8))**(-2\/3)*(g**(5\/3)*g**0*g)\/(g\/((g*g*(g*g\/((g**(-2)*g)\/g))\/g)\/g)*g)**(-6\/13) assuming g is positive.\nAnswer: g**(268\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/10 - t**3\/3 - 32*t. Determine c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7516209 divided by -1293.\nAnswer: 5813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 219 in descending order.\nAnswer: 219, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*n + 9, 0*h - 4*n = 3*h + 1. Let x(v) = v**3 - 2*v**2 + v. Let j be x(h). Does 2\/15 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -15) + (-5 - -2) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -21*(1 + 4\/(-6)). Let f be 4*4\/(-8)*n. Suppose 15 - 3 = -2*r - 4*s, r - 3*s - f = 0. Solve 6*v - v = -4*a + 13, -2*v = 4*a + r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 47 - 2*i**3 - 19 + 0*i**2 in the form a*i**2 + g*i**3 + j + v*i and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*d**2 + 33*d - 7?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11744 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101111 (base 2) in base 10?\nAnswer: -2159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 23*l**3 + 74*l**3 - 6*l + 2 - 3*l**4 - 48*l**3 as c*l**4 + a + o*l**3 + k*l + y*l**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -56759848?\nAnswer: -56759848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2 + (-20 - (17 - 64))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*-6*(-4)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/16, -5, -1\/5 in descending order.\nAnswer: 3\/16, -1\/5, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*(k*k*k*k**(-1\/2))\/k)\/k)\/k)**(-26))**(-2\/33)*(k*k\/(k**(1\/9)\/k)*k)\/(k\/k**(-1))*(k**(-1\/3)\/k)**(-2\/109) assuming k is positive.\nAnswer: k**(46153\/10791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50647 less than 624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + (-4 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 8*x**2 + 3*x - 16. Let o(y) = 5*y**3 + 16*y**2 - 7*y + 30. Let q(b) = 4*o(b) + 7*z(b). Give q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 5*i - 5, l + 5*i + 15 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/2 - 87633*n**3\/2 - 7020240*n**2 - 280937600*n = 0.\nAnswer: -80, 0, 87793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:23 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*c - 118*c + 235*c to the form w + s*c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 0, -5*j = -2*g - 32 - 38. What is the lowest common multiple of j and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -j - 5*y, 13*j - 263 = 16*j + y. List the prime factors of 1\/(-4 + (-357)\/j).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314905*s + 104966*s + 104972*s + 104969*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + (-35)\/10*30\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1080\/(-405)*(36\/(-3))\/(-72)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*q + v = 90*q + 72, 2*v - 14 = -4*q. Suppose 2*g - 2*y + 17 = 5, 4*g + 24 = -5*y. What is the third biggest value in 0.1, q, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Let w(z) = -z**3 + 7*z**2 - 8*z + 3. What is the units digit of w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261775.\nAnswer: 5, 37, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/4 + 15*r**4\/4 + 3*r**3\/4 - 51*r**2\/4 - 9*r = 0. What is r?\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.046 - -0.096. Let s = -0.05 + y. Let i be 2\/9 + 14\/18. Which is the third smallest value? (a) s (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 151*n**9\/504 + 7*n**5\/4 + 177*n**2. Find the third derivative of g(b) wrt b.\nAnswer: 18120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117502.\nAnswer: 2, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36.746 * -5\nAnswer: -183.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13*m = 369. Suppose -44*a + 123 = -m*a. Solve 0 = -4*j + a - 61 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(4 - 5 + 0) + 2 + 5 - 3)*(4*w + 40 - 55 + 96)*(4 - 1 - 1).\nAnswer: 48*w + 972","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -3, -2, 2994, -4, 1 in decreasing order.\nAnswer: 2994, 1, 0, -2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 54 = -z + 4*b, -3*z + b + 167286 - 167275 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*(-30)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q. Let v = -1 - q. Which is the third biggest value? (a) v (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224 divided by -104?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-600)\/16)\/(-15)*(-12)\/(-50)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 11*l - 7. Let v be j(10). What is the first derivative of 0*t + 0 - v*t**3 + 1 + 0*t wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 368\/36) + 20\/90. Let x(u) = u**3 - 11*u**2 + 4*u - 14. Let n be x(11). Suppose 4*h = -5*q - 62, 4*h = -2*q + 5*h - n. Is q > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 4 = 25*k. Let x(a) be the third derivative of 0 + 1\/15*a**5 + 1\/2*a**3 + 0*a - 2*a**k + 1\/8*a**4. Calculate x(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9726+19734\nAnswer: 29460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 35*w**2 - 38*w**2 + 80*w**2 with respect to w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115576928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 7*w - 3. Let t(x) = 3*x**3 - 13 + 9*x**2 + 2*x + x - 3*x**2 - 4*x**3. Let g be t(6). Suppose g*o + 4*y = -0*o + 17, o - y - 7 = 0. Give s(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 320*v**2 - 468*v + 125. Is o(-46) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 7*w**2 + 6*w + 7. Suppose -3*d - 7 = 2*a - 2, -4*a = -3*d - 35. Determine s(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 570\/70)\/(4\/(-14)). Which is the smallest value? (a) l (b) 1\/4 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:30 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llchlcqvcv. Give prob of sequence hq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6026 = 1993*h - 374*h - 111261 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -5*n**4\/2 + 2*n**3\/3 + n**2\/2 - 5. Calculate the least common multiple of 3 and t(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 8*i + 1. Let j be h(6). Let y be (-3 - -1)*12*-1. Suppose -b + y + j = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75, 76, 77, 78, 79?\n\"Answer: u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10*m = m. Sort m, -14, -5 in descending order.\nAnswer: m, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 3 + 11 + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2147\/8 + 268. Let l = 11 + -9. Let v = 157 - 159. Sort v, l, d in increasing order.\nAnswer: v, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2)\/(8\/(-12)). Suppose q*h - h - 10 = 0. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from njjnj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123933?\nAnswer: 3, 109, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6977 = 26*i - 30*i, -3*i + 3*b + 5235 = 0. Calculate the highest common divisor of i and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -9*n**8\/56 - 3*n**5\/5 - n**4\/6 + 6*n**3 - n - 38. What is the third derivative of x(k) wrt k?\nAnswer: -1080*k**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24686, 49179, 73666, 98147?\n\"Answer: -3*l**2 + 24502*l + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*z + 99, -78*w - 45 = -79*w - z. Solve w = 29*i - 22*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01825, -0.2, -5, 1, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 38, 1 in decreasing order.\nAnswer: 38, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 - 198 = 70*b - 333. Solve -4*q - b = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 296*f - 9584. Determine l(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 2. Let y be d(-6). Suppose 0 = h + 5, -4*a + 13 = -2*h - 1. Calculate the greatest common factor of y and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 17 - (53\/(2226\/3684) + 4\/14)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18236 and 31913?\nAnswer: 127652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101.78 or 1\/5?\nAnswer: -101.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 32*s + 275. Let q = 7233 - 7241. What is c(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/7*(-7)\/(-2). Calculate the highest common divisor of 190 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300) - -1*sqrt(300)) + -4)**2 - (-3 + sqrt(576)\/sqrt(12) + 4).\nAnswer: 796*sqrt(3) + 30015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d - 74. Let j be b(6). Round j to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/12)\/((-1)\/(-3)). Let y be -26*(18\/z)\/3. Suppose -4*r + y = -r. Solve -r + 1 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1877333, 7509322, 16895975, 30037298, 46933297?\nAnswer: 67583978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/180 - 5*a**4\/72 + a**3\/3 + 4*a**2 + 4. Determine h so that k(h) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*y + 27957001, 0*p = 4*y + 3*p - 37276003. Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*m - 6, 10777*i = 10774*i + m + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/(-24))\/(((-1056)\/(-32))\/264)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 14) to base 5.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7*i + 8. Let v be g(6). Suppose 3*z + v*a - 3*a = 16, -a = 1. Suppose 0*w - q + z = w, -1 = -2*w - 5*q. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(52\/(-390)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/6 - t. Let s be z(-1). Let g = -3.69 - 0.31. Which is the third biggest value? (a) g (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2280184?\nAnswer: -1\/1140092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 487*j*p**5 - j*p**2 - 2*p**6 - 87*p**2 - 4*p wrt p.\nAnswer: 29220*j*p**2 - 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -103*b - 11177. Give u(-108).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331\/34 + -13\/17. Do y and 1.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 21, -17 in descending order.\nAnswer: 21, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-40) - 6\/405*42\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.510789 milliseconds to nanoseconds.\nAnswer: 4510789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764 divided by 252?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**3 + 11*g**2 + 14*g + 3. Let q(l) = 2*l**3 - 4*l**2 - 5*l - 1. What is 17*q(a) + 6*z(a)?\nAnswer: -2*a**3 - 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1880, 1877, 1874, 1871, 1868?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let k(i) = -i**2 - 10*i + 5. Let m be k(-10). What is the third derivative of o*h**2 + 0 - 2 + 2 + 3*h**m wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 2392737*j**2 - 4785483*j - 2392743 = 0.\nAnswer: -1, 797581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24 + 10 - 15 + 6*s + s**2. Let j be k(-14). Suppose 4*m = -3*c + 72, -4*m - 2*c = m - j. Calculate the highest common divisor of m and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-441)\/(-56) - (-3)\/24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\/120*(-16)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4\/5 - 32436*p**3\/5 + 32444*p**2\/5 + 32436*p\/5 - 6488 = 0.\nAnswer: -8110, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 39567936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -813 or -814?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/166302 - 1988747917\/169295436. Let l = j + -3\/1018. Let y = 514\/3 + -2227\/12. Calculate the common denominator of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*o + 36 = -303, 0 = f - 4*o - 113. List the prime factors of f.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/65 and 5\/8147607.\nAnswer: 40738035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7775*v = 7759*v + 256 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21700.039962 - 21700. Let x = p + -0.04. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 58 + 5*y - 32 + 5.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 60. Let x(a) = 0*a**r + a**2 + 1 - 6 + 6. Calculate x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(2\/3)*n)\/n)\/n)\/n**(-9))**1\/((n**(-2\/19)\/n*n**(-6))\/(n**(-8)\/(n\/((n*(n*n\/((((n*n*n**(-5))\/n)\/n)\/n))\/n)\/n)))) assuming n is positive.\nAnswer: n**(785\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31566177*k*p + 65787285*k with respect to p.\nAnswer: 31566177*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146824 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.27 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**(4\/13)\/f*(f*((f**28*f*f)\/f*f)\/f)\/f*((f\/(f\/((f*f\/f**(-1))\/f)))\/f)**(7\/6) assuming f is positive.\nAnswer: f**(2533\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -6 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 = 602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - 40415194\/(-3). Suppose 0 = -4*u + u - x. Let j = 9490577 + u. What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*(s\/s**25)\/s assuming s is positive.\nAnswer: s**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1515 + 1520. Solve 109*k + 20 = 113*k, k = o*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 - 4*q - 2. Let n(y) = -9*y**2 + 7*y + 3. Suppose 0 - 40 = -8*b. Let h(x) = -3*x - 15. Let t be h(-6). Calculate b*k(j) + t*n(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(1872) + (sqrt(130) - (sqrt(130)*-2 - sqrt(130)))\/sqrt(10) + -1 + (sqrt(13) - (-1*sqrt(13) + sqrt(13))))*-2*-4.\nAnswer: 136*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289131 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 212*s + 40543. Determine x(-175).\nAnswer: 3443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1252020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1855680 - 48?\nAnswer: -1855738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20494 divided by -1?\nAnswer: -20494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let l(v) = v**3 + 10*v**2 - 2*v - 11. Let d be l(-10). Let h(r) = r**3 - 10*r**2 + 9*r + 3. Let j be h(d). What is c(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -275*d + 21. Let v(y) = 14*y**2 - 16*y. Determine v(q(p)).\nAnswer: 1058750*p**2 - 157300*p + 5838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**(-2\/7)\/f)*f)\/f)*f*f**0*f*f)**(2\/5)\/((f**(-1\/5)\/f)\/f**6*(f*f**(-2))**(-28)) assuming f is positive.\nAnswer: f**(-704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105508 divided by -26.\nAnswer: 4058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-162) + -2*(-50)\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4320*n + 1887*n + 2142*n)*(0*n - 3 - n + 2*n).\nAnswer: -291*n**2 + 873*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-168\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 1. Let m(j) = j + 1. Give -k(t) + m(t).\nAnswer: 10*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 64831.5 and 3.87435.\nAnswer: 64835.37435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7069 + -2938. Calculate the highest common divisor of j and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -t + 1, 2*m = t - 10. Suppose 3*f = -2*j + t*f + 5, 5*f = 4*j + 5. Solve -3*z + 20 = -j*y, y + 3*y = -16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 77*a + 546 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 78432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 454 + -2121\/5. Let m = -1048\/35 + c. Is 6\/5 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n. Let d(f) = -3*f**2 + f. Let k(t) = 2*d(t) - 5*g(t). Let u(x) = 2*x**2 + 4*x. Determine 5*k(q) + 4*u(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9771, 12566, 15361, 18156, 20951?\nAnswer: 23746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*(-4)\/(-3). Let g(s) = h*s + s - s. Let d(i) = 3*i. What is g(d(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -24*q + 158*q + 162*q + 704*q. Let d be p(1). Suppose -s + d = -5*s. Round s to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 52 = 10*s. Let p = s + 16. Solve -5*y**p - y**2 + 0*y**2 - 2*y**4 - y**4 + y = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r. Let x(i) = 4*i**2 + 25115. Calculate p(x(h)).\nAnswer: 44*h**2 + 276265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**2 + 38*t**2 - 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.6709 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 35, 45, 55, 65?\n\"Answer: 10*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35691839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5546 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 7.72.\nAnswer: -2.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 8. Let x(i) = -8*i - 10. Let g(t) = 5*c(t) + 4*x(t). Let u(f) = 3*f**2 + 1. Give g(u(b)).\nAnswer: 9*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5, -a = -2*a - 3*t + 5. Suppose -d - d + 28 = a*f, -3*f + 5*d + 42 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*a)*(-2*a**3 + 6*a**3 - 2*a**3) - 2*a**4 - 5*a**4 + 2*a**4 + (-4 + a + 4)*(-4*a**2 - 2*a**3 + 4*a**2).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249072*d**2 + 2*d + 250792*d**2 - 2*d.\nAnswer: 1720*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2492)\/(-78) - 5440\/(147 + 23)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(-28)\/(b**1)**8*(b*b\/b**1*b)**(16\/3)\/(b**5*((b*b\/b**(-3\/2)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.2. Let l = -1 - -0.9. Let c = 5 + -5.4. What is the nearest to 2 in c, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + b**2 - 4*b**2 + 13*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 10*q**2 + 0*q + 0*q. Let x(r) be the first derivative of r**4\/12 + 5*r + 3. Let k(w) be the first derivative of x(w). What is k(u(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36389782209 and 1?\nAnswer: 36389782210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 4*d. Let g be v(-4). Let x(w) be the third derivative of 0*w - w**3 + g + w**2 + 1\/12*w**4. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 126*c - 16. Let v(z) = 19*z - 19. Let g(n) = -16*n + 27. Let m(y) = 2*g(y) + 3*v(y). Determine 2*i(d) - 11*m(d).\nAnswer: -23*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 13 = -15 + 4 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyml. What is prob of picking 1 y, 1 l, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:23 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -54. Suppose -5*f = -2*w + 71, m*f = 2*w + 7*f - 21. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*q + 67 = -q, 25 = w - 4*q. Solve -3*i + 7*i = 5*u + w, -2*u - 2*i + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 485 = 13*t. What is the remainder when 250 is divided by (t*(-1)\/3)\/((-34)\/(-51))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/14 + 3*d**6 + 1472*d - 2. Determine q so that c(q) = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l - 7. Let o be i(8). Which is bigger: 3\/53 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1382 + -13263. Let s = -17771 - w. Let y = 8459 + s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5756426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 5a?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*q - 30*q**2 + 65*q + (-q + 2*q + q)*(-3*q + 4*q - 3*q).\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 0.0404.\nAnswer: 0.8888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 465964*m - 465965 = 0.\nAnswer: -1, 465965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20544 + 452?\nAnswer: 21440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*w - w + 76015, -u = 4*w + 76020. Round u to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*11*(-3)\/(-2). Let x(p) = -20*p - 25. Let s be x(-3). Suppose -s*f = -32*f - 99. What is the greatest common divisor of f and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255302605?\nAnswer: 5, 651060521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56 + 19c18?\nAnswer: 19bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 396.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n**2 + 22*n**2 - 8*n**2 in the form j*n**2 + x*n + l and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/324914000 and 29\/2.\nAnswer: 324914000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961138147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 508, 1006, 1706, 2608, 3712?\nAnswer: 5018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -3*(-6)\/9. Let x be (-17)\/(((-3)\/1200)\/u). Round x to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/539?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -8, 8, 40, 94, 176, 292?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17 (b) 1\/5 (c) -28 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/11)\/11*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 987573.226 + 3676.6\nAnswer: 991249.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838714*j - 1839634*j = 9200 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, j: 3}. What is prob of sequence jjf?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -34. Let a(n) be the first derivative of -9*n**3 - 33 - n**v - 4*n**3 - 1. Find the third derivative of a(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**10)\/(j*j\/j**(-4)*j))**(-1\/10))**(-46))**(-28) assuming j is positive.\nAnswer: j**(-2576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - v - 1. Let u be d(-1). Let r be 3\/4*2\/u. Which is the second biggest value? (a) 4\/9 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j - 3. Let g(s) = s - 1. What is -2*g(t) + w(t)?\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10 + 1 - 33*r - 2. Let b be k(-8). What is the highest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 1 (c) 0.046 (d) 4 (e) -1 (f) -0.7 (g) 95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 22981 = 33*f. What is the highest common factor of 67 and f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.5621 to one dp.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*d**2 + 2)*((-1 + 3 - 1)*(d + 0*d + d) + 23 - 10*d - 23) in the form s*d**2 + b*d + p + q*d**3 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 6. Let v be ((-6)\/(-10) - x) + -2. Let q(y) = y**2 + 6*y + 6. Let d be q(-5). Is d less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 3. Let q(n) = -4*n - 3. Suppose -x = -3*t + 7, 4*x = t + 6*x. Determine t*q(r) + 3*d(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/20 - n**4\/4 + n**2 - 20*n. Give d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y + 4*t = 83*y - 26*y + 2, 5*t = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -595 + 1025. What are the prime factors of d?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5469.2574 to zero dps.\nAnswer: 5469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*q + p, -3*q + 8*p + 99 = 3*p. What is the least common multiple of q and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 334594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134\/155 + -2\/31. Which is the second biggest value? (a) w (b) -1\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 + 209. What is the biggest value in 2, -0.4, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u - 36. Let l(k) = 463*k - 205. Let x(d) = 175*d - 68. Let s(z) = -3*l(z) + 8*x(z). Determine 4*s(g) + 9*t(g).\nAnswer: -g - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 7. Let v(n) = n**2 - 11*n + 12. Let p be v(8). Let f be z(p). Let a(c) = -c - 5. Let k be a(f). Which is smaller: k or 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17609, 17754, 17899, 18044, 18189, 18334?\n\"Answer: 145*i + 17464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 11, 2, -176, 7 in decreasing order.\nAnswer: 11, 7, 2, -48, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*d + 14 = 0, v + 12 - 1 = -2*d. Let f(w) = 2*w**2 - 83*w + 314. Let p be f(38). Sort 5, -1, v, p in descending order.\nAnswer: p, 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432.97846643 - -2\nAnswer: -430.97846643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218*v**6 - 197720*v**4 - 5071380*v**2 + 4*v + 1 wrt v?\nAnswer: 26160*v**3 - 4745280*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 378.\nAnswer: -264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17098 and 3502.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {b: 3, d: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(147) + 0 + sqrt(147) + -3 + 2*sqrt(147))**2 + -4.\nAnswer: -1008*sqrt(3) + 14162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (761664\/(-160))\/(-2*15\/125000). What is r rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.44 (c) 11\/17 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3961, 2239, 521, -1193, -2903?\nAnswer: -4609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285932929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31328759 and 30072.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + n + 3 = 0, 33*n - 38*n = -y + 15. Solve d - 4*d - 4*c = 6, y = 5*d + 5*c + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p - 5*r - 6, -r - 1 = 2*p. What is the smallest value in p, 1\/3, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 91 - 10720056*u + 180 - u**3 + 10720056*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 5. Let f(i) be the first derivative of -23*i**2\/2 + 14*i + 1. Calculate 17*d(q) + 6*f(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*s = -100*s - 672. What is the highest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2. Let j = 0 - -6. Let n(d) = 2*d + 6*d - j*d. What is n(o(u))?\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l = 104 + 400. What is the remainder when 269 + 2\/2 + 1 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 153, -5, -2, -3 in increasing order.\nAnswer: -5, -3, -2, 1, 2, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 + 26*o - 26*o - 2*o**2 - 4*o**2 + 3*o**2 + 3*o**2 + (0*o - o + 0*o)*(-1 + 1 - 2*o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + 5 + -5 + 1*(-1*sqrt(1100) + sqrt(1100)))**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from opzpcozczpocz.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -72*8\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -3692961430717.\nAnswer: -3692961430719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 4*q**2 + 3*q - 3. Let d(m) = m**3 + m**2 - m + 1. Let x(y) = -6*y**3 + 4*y**2 - 2*y + 3. Let i(f) = 3*d(f) + x(f). Give -4*i(o) - 7*z(o).\nAnswer: -2*o**3 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361722?\nAnswer: 2, 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69200\/((-6)\/(-1)*8\/120). What is p rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Suppose -8 - 1 = -j*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(5\/2)\/c)))\/(c**(-1\/17)\/c))**(-10)*(c**(-1\/4)\/c)**(-2\/11)*c**(2\/17)\/c*c**3*c assuming c is positive.\nAnswer: c**(-12059\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 36 = -3*h + 3, -5*j + 4*h + 119 = 0. What is the greatest common divisor of 72 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -43. Suppose -4*l = 33 + t. What is the units digit of (3 + -4)*l\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 231*g - 16 - 19.\nAnswer: -231*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 2. Suppose 3*q - l = -3*f + 3, 3*q = 2*f + 21. Let a = f - -26. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {m: 6, o: 3, a: 1, b: 8}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 122181*p + 5381772 = 0. What is p?\nAnswer: -44, 40771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*g - 434*g - 648 = -4*a, 0 = -4*g - 4*a + 864. What is the remainder when 4103 is divided by g?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 + 32*p**3 - 6*p**2 - 100*p - 64 = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1276 + 3998. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 16856*l + 248609144.\nAnswer: 2*(l + 29498)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-6)\/(-27)). Suppose -197 = -c*z - r, -z - 59 = -2*z + r. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 185962, 371928, 557894, 743860, 929826?\n\"Answer: 185966*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 115115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10)*5\/(-2). Solve -v*k + 1 + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*j**3 - 262*j**3 + 33*j**2 + 339*j**3 to the form n*j + t + l*j**3 + w*j**2 and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000047601 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let l be ((-4)\/56)\/((-2)\/(-76)) + 3. What is the closest to l in 8, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(605) - -5*(sqrt(605) + -1)) + 3)*-1)**2 + 0.\nAnswer: -264*sqrt(5) + 21789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -454140 divided by 6?\nAnswer: -75690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4 + 23 - 19 + 28 + 5*n. Let g be -1 + 4\/(-12)*9. Let s be a(g). Solve -2*j = -4*t - s, -3*j - t - 2*t - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*t - o + 1004, 0 = 2*o + 1269 - 1261 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1797.867 and 2733.\nAnswer: 935.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2465 - 225. Suppose 3*y - g = y. Let p be (3 - (4 + -1)) + y. What is p rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 8*c + 5. Let y(u) be the second derivative of u**4\/6 + 7*u**3\/6 - 2*u**2 + 10175*u. Let o = 12 - 7. What is o*y(d) + 4*p(d)?\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1572729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -19. Let r(h) = h**3 - 2*h**2 - 7*h + 9. Let v be r(j). Determine n so that 3*n**3 - 6*n - v*n**2 - 16*n**2 + 32*n**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(5) + sqrt(125))*-5).\nAnswer: -sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 11025.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/145, 324, -2, -0.814?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 73 + 22 + 30 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/6*i**3 - 1\/360*i**6 - 1\/30*i**5 + 0 + 0*i**2 - 1\/6*i**4 - 2*i. Let u(c) be the second derivative of v(c). Factor u(g).\nAnswer: -(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*c - 6 = -186*c - 166 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349*w**2 + 597*w**2 + 1927*w**2)*((1 + 0 + 0)*(1 + 2 - 1) + 1 - 6 + 2) to t*w**2 + m + l*w and give t.\nAnswer: -2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -24.971.\nAnswer: 12.4855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 8. Let t be f(7). What is the nearest to 1\/3 in t, -0.8, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162864.\nAnswer: 2, 3, 131, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -100. Which is the biggest value? (a) 2 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f - 1. Suppose -68 = -0*q - 4*q. Let c(g) = -3 + 5 + q*g - 4. Calculate -6*c(m) + 13*n(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 17*u**3 + 18*u**2 - 14*u + 20. Let s = -17 - -31. Let b be i(s). What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 = 0, -100*h + 94*h - 5*o - 45 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 26*j**2 + 33*j - 2. Suppose x - 2*p = 25, 4*p = -8*x + 4*x + 112. What are the prime factors of t(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 6, -17*q + 5*c + 1655 = 1710 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -3, -5141, -2\/5 in increasing order.\nAnswer: -5141, -3, -2\/5, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -199.\nAnswer: -5\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4ab93 - -5?\nAnswer: a4ab98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 + 4*j - 1. Let n = -4 + 6. Suppose 0 = -n*r - 0*r - 2. Let l = 4 + r. Calculate w(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33\/26? (a) 664 (b) -5\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.039. Which is the second biggest value? (a) 1 (b) 3 (c) -0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, 2, 1\/16 in increasing order.\nAnswer: 1\/16, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.50598 - -0.0232.\nAnswer: -0.48278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1734 + -1732. Let f = -8 - 1. Which is the closest to -1\/5? (a) 5 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:59 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1036 = 3*h - y, -3*h + 3*y - 1045 + 19 = 0. Which is greater: -3810\/11 or h?\nAnswer: -3810\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 428 + 917. Let v = 427 + w. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17807300 and 1820.\nAnswer: 231494900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2422)\/519*((-20)\/175)\/(1\/(-5))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2206 = -137*q - 1082 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -553 + 553 - 34*c as n*c + l and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17569 + -17491. What is the lowest common multiple of 390 and w?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 + 11 = 2*n, 2*g + 6 = 4*n. Let x(z) = -z**2 - 5*z + 0*z - z + n. What is the units digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 2*w + 47. Suppose -o + w = -44. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19.509282 milliseconds?\nAnswer: 0.000005419245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + (-10 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-2)\/(-66) + 139997\/(-7986)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 + 11)*(363*z**2 + 9 - 81*z**2 - 9) + z**2 + 0*z**2 + 0*z**2 in the form b*z + d*z**2 + h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.5 (b) -156 (c) -2\/19 (d) -4 (e) 24.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98659 is divided by 619?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1394 - -579. Let c = 817 + o. Let 8\/7 + 10\/7*h + 2\/7*h**c = 0. What is h?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -10*w + 18 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 249, 255, 261, 267?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27648 and 559104?\nAnswer: 5031936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let r(w) = -42*w**2. Let n be r(a). What is the units digit of n*(12\/(-9) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -360 - -1088\/3. Let u(h) be the first derivative of b*h**3 + 6 - 3\/2*h**4 - 4*h + h**2. Let u(p) = 0. What is p?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41299389 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64b + 5?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let w(m) = -5*m - 3. Let p(l) = 3*n(l) - w(l). Let v be p(2). Is v\/(-10) - 568\/(-20) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225450.69 months in millennia?\nAnswer: 18.7875575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(351) + (6*sqrt(351) - sqrt(351)) + sqrt(351)))\/(sqrt(147)*-6*2).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3375, -10546, -25299, -51426, -92719, -152970, -235971, -345514?\n\"Answer: -632*k**3 + k**2 - 2750*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 8, w: 1, y: 2, p: 1, m: 3}. What is prob of picking 1 w and 1 q?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1))\/2 + 6. Let a(w) = w - 1. Let x be a(3). Solve x*j - n*j = 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297577507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/145 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28185*z**3 + 4*z + 29360624 wrt z?\nAnswer: -84555*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 1 + 2002*u + 103*u.\nAnswer: 2114*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61624724933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 5 (c) 1 (d) -548\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 0*m**2 + 11*m**2 - 3*m**2 + 4*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1113 - 1154. What is the second biggest value in 0.1, -6, g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019446059 rounded to 5 decimal places?\nAnswer: 0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let x(f) = -18*f + 16. Let n(z) = 12*d(z) + x(z). Suppose -26 = 4*c + 2*q, -3*c = -6*q + 4*q + 23. Does 23 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q - 7. Let w(m) = 7*m - 4. Let y = 53 - 42. Determine y*w(a) - 6*x(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10544.222 to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.164538 micrograms?\nAnswer: 2164.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3628080.\nAnswer: 1\/907020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-21)\/54)*1. Let w be (l\/21 + -6)*98\/(-4). Suppose -4*s + 5*x + w = 3*x, 0 = 3*s + 2*x - 133. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**4 - 2\/5*f**5 + 0*f - 2*f**2 + 4 + 0*f**3. What is the second derivative of g(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 29 + 38. Suppose -g*s - 220 = -62*s. What is the remainder when (-5 - -2)*s\/6 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - d - 1. Suppose 5*m - 8 = 3*m. Let b = 1 + m. What is the remainder when f(-2) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:05 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402 (base 8) to base 5.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - sqrt(121)*-1*-6))\/(-1*sqrt(44)\/sqrt(4)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7708628 is divided by 5757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 325.12, -4\/23, 0.1 in descending order.\nAnswer: 325.12, 0.1, -4\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 7*c + 6. Let r be u(-7). Solve h - r = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 1*(-1 - 6). Let x(y) = y - 1. Let h be x(-3). Let q = 5 - 8. Sort h, q, k in ascending order.\nAnswer: h, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/3 + (-4)\/(-6). Let n be 494\/8 - 1\/c. Let r = n + -124. Round r to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72380424 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/9 - 37744*w\/9 - 4194 = 0.\nAnswer: -1, 18873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 881053757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/p**0)\/p)\/p**(-3))\/(p**3*p*p*(p**3\/p)\/p))**(-2\/103))**42 assuming p is positive.\nAnswer: p**(168\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.95 - 8. What is the nearest to y in -1\/7, 3, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1444\/7 + -206. Which is the closest to 2\/5? (a) -2 (b) i (c) -4 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q + 1\/192*q**4 - 1\/160*q**5 - 51*q**2 + 1\/320*q**6 + 0 + 0*q**3 - 1\/1680*q**7. Solve h(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(40) + (1*sqrt(286))\/sqrt(11))*4)\/(sqrt(4)\/sqrt(2)*-4 - (sqrt(54)\/sqrt(3))\/sqrt(9)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -6. Let n be 20\/(-110) - 136\/(-22). Calculate the highest common factor of h and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from eeeerrroeeorree?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/68)\/(-3))\/(-150*64\/(-7680))\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*w**2 - 13*o**3 - 2*o**2*w**2 + 166*o**2 - 2*w**2 wrt o?\nAnswer: -12*w**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6655357 divided by -4157.\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/22 + 7293\/484 and -107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c - 2 + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-21))\/7*3\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgghgggggghgg. What is prob of sequence gg?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-1)*h)\/h**(-2\/15))\/((h**11*h)\/(h\/((h**(-7)*h)\/h))))**(2\/3) assuming h is positive.\nAnswer: h**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 5*f + 59 = 0, 1676*b - 67 = 1678*b + 3*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:52 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(2 + -2). Suppose 569*f = 574*f - 5*j - 20, 4*f = -3*j + 16. Sort f, 5, d, -3 in descending order.\nAnswer: 5, f, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1. Let v be y(0). Let n be v\/((-2)\/4)*(-356)\/(-8). Let p = 9 - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -353711 from 60.\nAnswer: 353771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, q: 10}. Give prob of picking 2 q.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-795)\/115 - (-696)\/(-8004)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840713 and 30.\nAnswer: 25221390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.029 + -10. Let o = 10.271 + w. Let r = 10 - o. Sort 1\/4, r, -3\/2.\nAnswer: -3\/2, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 14395?\nAnswer: 109\/14395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6988 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 7*w + 6. Let d be r(-5). Solve -3*z = -4*c + d, -z - c = 2*c - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110200 (base 3) in base 6?\nAnswer: 250500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 5*c. Let u(o) = o**2 + o - 1. Let j(d) = r(d) + 3*u(d). Let f be j(-2). Solve 0 = 5*p + 3*n - n - 8, -5*n + 20 = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*y + 309*y + 39*y + 270*y.\nAnswer: -46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/8 - (7 + (-145)\/20). Suppose -2*n - 6*j + 2 = -3*j, -l*j - 14 = -n. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 42 - -7) + 18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 665*x + 706*x + 90 - 1373*x + (0 - 3 + 1)*(-4*x + x + x) as b + h*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4\/26)*78728\/48448?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50594 = -87*v - 19883. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -6641347\nAnswer: -33206735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -57. What is the units digit of (-524)\/(-26) - o\/78?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/3, -4, 1\/7, 1888?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741008.\nAnswer: 2, 29, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -875, -1313, -1751, -2189?\nAnswer: -2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -55100546*n + 345363. Let g(v) = -6063*v + 38. Calculate 18177*g(i) - 2*k(i).\nAnswer: -6059*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4068638*l**2*u + 234*l*u - 1491*l + 2*u - 2 wrt l?\nAnswer: -8137276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + 1. Let k be (-6 + 9)*(-2)\/3. What is the tens digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*x + 40, -7 - 9 = l + 5*x. Let w = l - -9. Is -1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -653\/56 - -99\/8. Let r(g) = -g - 2. Let u be r(-3). Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -4. Let t = 19.28125 + l. Let k = -0.28 + t. What is k rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/21*(-28)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*c - 6, -i - 4 = 3*c - c. Let d(z) = z - 2. Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 7. Let y(s) = -s**2 + 7*s - 14. Let r be y(10). Let m = -51 - r. Calculate k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0 - 32 - (-25 + 28)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p - 58. Let z(x) = 54*x - 334. Let j be z(6). Let m be t(j). Sort m, 0, 52, -4.\nAnswer: -4, 0, m, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46945133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056961 a multiple of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(13\/2))**(-44)\/(x**17*x*x*(x\/(x**(10\/7)*x*x)*x)\/x) assuming x is positive.\nAnswer: x**(-2118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 181 - 55. Let r = -4 - -3. Let f be (1*46)\/1 + r. Calculate the greatest common divisor of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14029\/21 + -4674\/7. Let f(g) = -g - 8. Let s be f(-4). Which is the third smallest value? (a) 92 (b) s (c) 3\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 12*b**2 - 10*b + 2. Let t be z(11). Let h(j) = -j**3 + 13*j**2 + j - 5. What is the remainder when 20 is divided by h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88.999878 - -89. Round p to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 2. Suppose -2*h + 0*n + 2*n - 16 = 0, 5*h = -n - 16. Is 9 a factor of o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 - 270. Suppose 0 = 66*l - 63*l - i. Solve -2 - l = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10582028 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 2*w**2 + w - 2. Let r be f(-2). Let h(c) = 18*c - 5. Let t be h(r). Is 0 + t + 0\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6, 0 = -4*x + 2*x + 5*y - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31827756 rounded to the nearest 10000?\nAnswer: 31830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.051*-29\nAnswer: -1.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/160 + i**5\/40 - 3*i**4\/32 + 86*i**2. Let n(b) = 0. What is b?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/60 - 5*u**4\/12 + 13*u**3\/3 + 19*u**2 + 1. Let q be i(4). Solve -5*h - 18 = q*s + 3, 0 = -5*s - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((-660)\/150)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 908\/1589*21\/2*1*(-58)\/4?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39484, -78966, -118448?\n\"Answer: -39482*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 793 - 535 + 1830 = 882 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:46 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 2853.\nAnswer: -16\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:13 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(68)*-2 + -2 - -3*(sqrt(68) + sqrt(68)*-2)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 51) + -16 + 15 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2783304 and 41\/992?\nAnswer: 11133216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 15*i - 15. What are the prime factors of v(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) -7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25664 and 64.\nAnswer: 25664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/455)\/(6\/(-5))*2010\/(-335).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -303, -673, -1191?\nAnswer: -1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-10))\/(33\/(-30)*12852\/(-15708))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 313334202 (base 5) to base 9\nAnswer: 2414145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*i + 3 - 0, 3*i = -3*h + 27. Let d = i - 3. Put -2, d, 0 in increasing order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*k*s + 11*a*k - 2*a + 100*k*s + 55*s - 10 wrt k.\nAnswer: -a*s + 11*a + 100*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1041 and 136024?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)*b**31\/b)\/(b*b**25)**36 assuming b is positive.\nAnswer: b**(-8158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46837820 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: Let k(g) be the second derivative of -1151*g**3\/6 + 14344*g. Let r(w) = 6*w**2. Give k(r(t)).\nAnswer: -6906*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2138 = -2*p - 3*s, 4*p = 3*s + 4286. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c653 - -19?\nAnswer: -9c637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 15*d**2 - 6*d + 17. Let g be h(16). Suppose 18 = -u + g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 481924 and 1676?\nAnswer: 201926156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4 = -3*i, -28 = -i - 31 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13932 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 - 91230*i**4 + 5943380*i**3 - 140825530*i**2 + 1420933905*i - 5023805960 = 0. What is i?\nAnswer: -18311, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -6)*(4 + (-2 - 0)). Suppose -m + s - a*s = 580, 0 = -5*s + 25. Let i = m + 1014. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/56*-16)\/(4\/14). Let j(o) = 7*o + 1. Let a be j(-1). Let x be a*(1\/2 - 1). Solve r = -x*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172000 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205920 divided by 104.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in -1.48, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2309*b**2. Let u(z) = -2306*z**2. Calculate l(u(g)).\nAnswer: 12278421524*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.36. Let o = y - -0.14. What is the biggest value in 2\/5, 5\/3, o?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -45. Suppose 5*n - s + r*s = -5, -5*n = 2*s. Suppose q + 3*f = 5, n = -3*q + 3*f - 7. Which is smaller: q or 1\/66?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + a = -1806, 1818 = 3*s + 4*a - 9*a. Let r = 1005 - s. Suppose 0 = -6*d + 328 + r. What are the prime factors of d?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 - 3*m**2\/2 + 7*m + 3. Let u be v(-5). Let b = 0 - -1. Sort u, -4, b in ascending order.\nAnswer: -4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 + -149. Let c = 76 - r. Is 13 a factor of (-3)\/2*(-2040)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5 - 5*x + x**2 + 10 + 0*x**2. Let y be a(4). Let m be -1 + 0 + y + 18. Solve 5*i + 4 - m = -c, -4*c + 4*i = 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3535, 14161, 31877, 56689, 88603, 127625?\nAnswer: 173761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169 is divided by 2702?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 5*w, -r = 6*w - 2*w + 1. Suppose 2*y + r = 5*y. Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 132, 273, 414, 555?\n\"Answer: 141*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -52, -72, -92, -112?\n\"Answer: -20*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -11*h**5\/5 - 22*h + 26. Differentiate a(o) wrt o.\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.14 and 22.434.\nAnswer: 9.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(605)*3.\nAnswer: 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.5 minus 851?\nAnswer: -909.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/9433 or 1074?\nAnswer: -10\/9433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let z be a(-2). Let u = -6 + 4. Let j = u + 2. Is j > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00176019501 to five dps.\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1.4. Let l = 287\/3 - 96. Which is the nearest to -1? (a) l (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046 divided by -2?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1590 = 4*d - 4*f, 0 = -5*d + 5*f + 1980. What are the prime factors of d?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-247)\/114 + (-40)\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziziiisiiinzdz. Give prob of sequence sd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4164, 5, -4, 3 in decreasing order.\nAnswer: 5, 3, 2, -4, -4164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7340148 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*z - 51*z - 8*z**2)*(-139*z**2 - 9 + 83*z**2 + 93*z**2) as m*z**2 + a*z**4 + d*z + i + u*z**3 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2195754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = -r + u, -4*r + 2*u - 649 = -5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -40 + 19. Suppose v*p - 11 = 3. Suppose 2*w = p*d - 76, w + 2*w = 2*d - 77. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 421 = -2596. Let o = q + 527\/7. Factor 0 + o*u**3 + 0*u**2 + 0*u + 2\/7*u**4.\nAnswer: 2*u**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - r)*(-r + 3*r + r) + 0*r + 0*r + 2*r**2 - 3*r**2 - 2 + 5*r**2 + 4 as c*r**2 + v + m*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/7)\/(4\/64*16).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*l + 4 = 0, -2*i + 3*l - 3 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:45 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7490 divided by -3745.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.3 (c) 2\/142929 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + ((-14)\/196)\/(238\/53278).\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029017 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/24 + y**2\/2 - 2. Let x(g) be the second derivative of s(g). Let i(m) = -3*m**2. Determine i(x(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934 = 2*u + 4*o, u + 2*u - 4*o = 1431. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107818 rounded to five decimal places?\nAnswer: -0.01078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/7*u + 4\/7*u**2 + 0 - 2\/7*u**3 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (-1135)\/25*-3. Let h = a + -130. Factor 1\/5*p**3 + 0*p**2 + h*p**4 + 0*p + 0.\nAnswer: p**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 62. Let i be p(-19). Suppose n = 2*d + 49, -i*n + 7*d + 235 = 2*d. Suppose 0 = 21*b - 30*b + n. Solve -3*w + 5*t = 2*w + b, 0 = -5*t - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187585 is divided by 39586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 571494*b*i**2*u - 2*b*i**2 + 3051219*b*i*y - b*u - i**2*u*y - u*y wrt y.\nAnswer: 3051219*b*i - i**2*u - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 26*h**2 - 219*h + 2062. Give j(9).\nAnswer: 1468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*b - 2*b + 8, 2 = 5*b - x. Suppose 19*u = -b*u. Solve u = 2*a - 1 - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/17*2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 + 765?\nAnswer: 7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*q + 430*q + 211*q + 111 - 111 to the form p + z*q and give z.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737001 is divided by 622824?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.5 - -0.0301244637?\nAnswer: 52.5301244637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5805679, 1\/2, -3\/7 in ascending order.\nAnswer: -3\/7, 1\/2, 5805679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10042414141 (base 5) to base 9.\nAnswer: -21038178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 943030*s + 6521918 wrt s.\nAnswer: 943030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6022558 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321*q + 1562 = 1250*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78.8 - 9.8. Let n = 88.34 - k. Let t = -19 + n. Round t to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 + -235. Sort f, -2, 5, -5 in descending order.\nAnswer: 5, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.439 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 753 + -23345\/31. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 - 5*i + 3. Let w = 4 + 1. Let n be q(w). List the prime factors of ((-14)\/3 + n)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19423487 to the power of 1\/2, to the nearest integer?\nAnswer: 4407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - z + 1. Let y(q) = q**3 + q**2 + q - 1. Calculate c(m) + y(m).\nAnswer: -5*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -639 + 645. Solve u = 2*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 + 0*p**2)*((-33*p - 62 + 62)*(0*p**2 - 6*p**2 + 8*p**2) + (0 - p + 0)*(3*p**2 - 3*p**2 + p**2) + 3*p**3 - 3*p**3 - p**3).\nAnswer: 68*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23.9 (b) -7302 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -107.43 * 74\nAnswer: -7949.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -142 (c) -0.3 (d) -4\/9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 562138733.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 - 2*f + 11. Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54777038*p**4 - 590116313*p**2.\nAnswer: 1314648912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:35 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 0*t + 0*t**4 - 1\/1800*t**6 + 3 + 0*t**2 + 0*t**5 - t**3. Let p(y) be the third derivative of u(y). Factor p(g).\nAnswer: -g**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - k + 707 = 0. Suppose -3*d = 8 - 23. Suppose -2*g - 21 + k = d*u, -5*u + 85 = 3*g. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - l**3 - 2)*(2*l - 2*l - 2*l) - 91*l**4 + 70*l**4 - 127*l**4 in the form x*l + i*l**2 + o*l**3 + v + r*l**4 and give r.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -109. Suppose 0 = 4*q - 10 - b. What is the remainder when 12 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3 + (-4)\/(-3))*(-5943)\/1698 + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -382*x + 382*x - 13*x**2 + (2*x**2 - x**2 - 2*x**2)*(-2 - 1 + 1).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 972561*v**2 - 1480634*v**2 - 1405061*v**2.\nAnswer: -1913134*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 224 = -48*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-147) + (-2)\/(-14). Determine q, given that x*q**2 - 1 - 7*q**2 + 8*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*t**2*z**2 + 159*t**2 wrt z.\nAnswer: -716*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n**3 - 2*n**2 + 8*n - 15. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 - 3 = 0. Let h = z + 1. Let v(g) = 2*g**2 + 2*g. Let m be v(h). Solve -3*d = -m*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = 301*z + 100*z + 64*z + 2465 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2430 is divided by -30*-2*6\/(-12)*(-16)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 11*g - 9. Let s(b) = -74*b**2 + 136*b**2 - 68*b**2 - 8 + 13*b. Let a(t) = -7*n(t) + 6*s(t). Differentiate a(y) wrt y.\nAnswer: 26*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3116 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + 0) - (-1 + (-17 - (4 - 51))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/12 - 2*t**3\/3 + 38*t**2 + 10*t + 2. What is the first derivative of o(j) wrt j?\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 11*w**4\/24 - 8*w**2. Let t(p) = -p**2. Give b(t(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 157*v**2 - 2*v**3 + 5 + v + 164*v**2 - 6*v - 329*v**2 - 6*v. What is g(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 + 656 + (-161)\/(-4)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 9}. What is prob of picking 2 q and 1 f?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1) - (9 + -7 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-424) + ((-8)\/212 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p. Let t be (-4)\/(-10) - (-88)\/(-20). Let n be s(t). Suppose n = -x + 15 - 5. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*j**4 + 38213136*j**3 - 8491820*j**2 + 471768*j.\nAnswer: 4*j*(j + 117942)*(9*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 4 + 44710347*x.\nAnswer: 44710347*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 + 642. Let u = w - 158. Suppose 3*r = 4*r - 13. What is the highest common factor of r and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 16*j + 36. Determine x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*b = 1 + 20, -b = 2*q + 1. Suppose q*p - 4 - 2 = 0. Let j = p + 1. Solve 3*o = 2 + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 762.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i + 4. What is the tens digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/36)\/(2\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18. Which is the smallest value? (a) -1 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**2 + 11930*x - 7116245 = 0.\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-36)\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 4894720*r = 0 for r.\nAnswer: 0, 1223680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 2*m - 64. What is the least common multiple of 90 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c - 72*c + 130*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 8*m + 14. Let k be q(-6). Suppose 4*j - k*b - 2388 = 0, -7*j + 3*b + 2388 = -3*j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2 + 0 - -1. Calculate the remainder when 82 is divided by 16 - (8 - h - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-8 - -10) + -7 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-66)\/77)\/((-3)\/14). Suppose j*v = 1 + 3. Which is smaller: v or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j + 176. Let x = 254 + j. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 29*s**2 - 361*s + 86. Let f be u(23). Calculate the greatest common factor of 52 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -36. What is the third smallest value in 1, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-4 - -217 - 4). Suppose -3*c = -2*b - o, -b = 3*c + 112 - 315. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from wrywyrwywwybwrwxr.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 14*q**2 + 5*q - 5. Let n be w(-6). Suppose -32*k - 50 = -n*k. Suppose u - k = -5*g, 1 - 9 = -g + u. Solve -3*t = -g - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 5 = -19*z. What is the hundreds digit of -23*(z + -25 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141437.63 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2 - 2 + (-12*c**2 + 14*c**2 + 30*c**2)*(0 - 4 + 2))*(-7*c**2 + 6*c**2 + 0*c**2 + 1).\nAnswer: 63*c**4 - 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38585, 40843, 43101, 45359, 47617?\n\"Answer: 2258*u + 36327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.5, -3, -14\/19, -1 in decreasing order.\nAnswer: 2\/15, -0.5, -14\/19, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - z - 2*z + 2*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9344551km?\nAnswer: 934455100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + 34*b - 10. Let m(f) be the first derivative of f**4\/4 + 2*f**3 - 7*f**2\/2 + 8*f - 26. What is the remainder when m(-7) is divided by i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 18*x + 24. Let k be j(18). Find the third derivative of 13858 - k*r**2 - 13858 + 13*r**6 wrt r.\nAnswer: 1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 5866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 + 292. Suppose 0 = -u - 4*d + 17 + a, -312 = -5*u + 3*d. What is the remainder when u is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m - m + 3759 + 2721. Suppose 5*b - 56 = -l, 4*l = 2*b - 0*b + 158. Calculate the remainder when m is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 4*d - 1\/2*d**2 + 1\/10*d**5 - 5\/12*d**4 + 1\/3*d**3 + 0. What are the prime factors of u(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = b - 8. Let u(j) = -j + 1. Let y(x) = -x**2 - 3. Let t(r) = -2*u(r) - y(r). Let w be t(b). Solve 0*c = c + w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 10404023200?\nAnswer: 10404023153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -3 + (-126)\/(-7). Solve -a + p = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-160)\/(-35))*(-414)\/(-63).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -27, -53, -89, -135, -191, -257?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.4 + 16. Let m = -1.8 + d. Let q be (1\/1)\/(20\/8). Which is the smallest value? (a) m (b) q (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejwwwwjjweej. Give prob of sequence ejj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 8*k - 8 = 0. Let j be 0*k\/80*-5. Suppose 3*x - 152 = -5*q, x + 0*x - 4 = j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*d - 99*d - 107*d + (2 - 5 + 1)*(2*d + 2*d - 2*d) in the form k + y*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 1. Let h(x) = -x. Let m(t) = -5*a(t) + 4*h(t). What is the lowest common multiple of 22 and m(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.119 and -559?\nAnswer: 9010.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 + 3*q**2 - 3*q**2 + (-2*q + 2 - 2)*(-2 + q + 2) - 3*q**2 - 4*q**2 + 6*q**2 - 9 - 5*q**2 + 9 as v + g*q**2 + y*q and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1049.1 and -0.69.\nAnswer: 723.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 71. Suppose -q*d - 9*d - 70 = 0. Let c(t) = -5*t + 1. Let h(p) = 4*p - 1. Give d*c(f) - 6*h(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let h(g) = 2*g**2 - g + 72. What is h(l(d))?\nAnswer: 2*d**2 + d + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 11*s + 490. Round s to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2200 divided by 4\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4173*1.44\nAnswer: 6009.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1224 (base 7) to base 10\nAnswer: -459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + (-6*(sqrt(275) + sqrt(275)*-1) + sqrt(275) - sqrt(275))**2.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*(6*p**3 + 0*p**3 - 6*p**3 - 3*p**5).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*j - 221 = -6*p, -j - 137 = -3*p. Let o = -280 - -558. Let w be o\/10 - 76\/95. Calculate the highest common divisor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, -7, -6\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(1356\/(-4)*7\/(-462)*-22)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 29 + 41*n + 65 - 47 in the form b + y*n and give y.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3636.3 and 0.128?\nAnswer: 465.4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21715007*k - 17172125 wrt k?\nAnswer: 21715007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 61705*t**2 + 232065475*t - 275997294815.\nAnswer: 5*(t - 6523)*(t - 2909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12992 and 1015.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 6*v**2 + 6*v + 7. Suppose 2304 - 2294 = -5*y. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose -u = -i - 1, 4*u + 3 = -b*i - 21. Is (212\/(-6))\/(2\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (44 + (19 - 4))) + (-1 + -5 - 1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/219 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 3*q**2 + 3. Let j be 3*12 + 0 - 2. Let d(r) = 17*r**2 - 22 - 6*r**3 + 0*r**3 + 5. Determine j*i(g) + 6*d(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -227*g**3\/2 + g**2 - 25*g. Is t(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*f**2 + 3*f**4 + 5*f**2 - 2*f**3 - f**2 + 2*f - 3*f**2 - 2*f**2 to d*f**2 + i*f + j + g*f**3 + t*f**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.118 - -1.922. Let x = -0.04 + j. Suppose -4*h + 0 = -4. Which is the nearest to 1? (a) x (b) 1\/10 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -198, -465, -844, -1335, -1938?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*c - 20 = 0, -4*p - 3*c = -3*p + 15. Let w be p*3\/6 + 4. Suppose -3*m + 2*n + 0*n + 437 = 0, 0 = 2*m - w*n - 278. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 79743.44 meters?\nAnswer: 79.74344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.001 to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/6 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255*u - u**2 + 1255*u - 11*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)\/(35\/(-25)). Let k = -18\/7 - x. What is the closest to 0.1 in 0.5, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o + o + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times 33.5?\nAnswer: 13.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 42 = 4*c + 10 - 73, 44 = -2*k - 2*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 182*r - 184*r + 94 = 0, 5*t - 2*r = 146. Suppose -171\/8*v**4 + 27\/8*v**5 - 6 + t*v - 57*v**2 + 51*v**3 = 0. Calculate v.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*j = 20, 2*n + 0*n = 5*j - 8. Let q be 5172\/24 - (2 - 0)\/n. Calculate the greatest common divisor of q and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {r: 2, e: 1, o: 1, g: 8, y: 6}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 27*u**2 + 58*u - 302*u**3 + 12*u**2 + 13*u**2 - 528*u**4 - 224*u**5 - 12 + 20*u**2 = 0.\nAnswer: -1, -6\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44725.04 microseconds in milliseconds?\nAnswer: 44.72504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 79*r**2 - 134*r - 174. Give g(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peokkeppuwpo. Give prob of sequence kk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*p + 612*p = 710*p - 12384 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 5. Let o = 73 - 75. Let t(z) = -2*z + 1. Give o*i(b) - 9*t(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -71395768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)\/(u\/u**6*u*u)*(u**(-1))**(-2\/19) assuming u is positive.\nAnswer: u**(255\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -42, -55, -0.1.\nAnswer: -55, -42, -0.1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24\/13 - 197\/156. Find the common denominator of f and 83\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -540471.914 to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2330.4 + 2330. Sort -1\/7, -4.1, 0.1, a in ascending order.\nAnswer: -4.1, a, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 22?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/(-256))\/((-3)\/24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 4. Let i(x) = -4105*x + 6568. Let h(c) = i(c) + 1642*y(c). Let w(l) = -7*l**2. What is w(h(q))?\nAnswer: -4718287*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*h**2 - 2*h - 5505*h**3 + 43*h**2 - 2 + 11000*h**3 + 2*h**4 - 5496*h**3 to the form p*h**3 + n + o*h**2 + u*h**4 + z*h and give o.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s - 3*c - 1, -7 = -4*s - c. Let q(i) = 4*i + 2 + i**s - 7*i + i**2. What are the prime factors of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + 85 + -65 + -28?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 - 20*u + 20. Give r(7).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 32113122?\nAnswer: -32113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**3 + 3 - 4)*(3 - 1 - 3 + (1 - 2 + 0)*(-3 + 1 + 0)).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 48 = -7*l. Solve -7 = 3*x - l*s + 8, -4*s + 17 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:19 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q. Let j(a) = -3*a**2 + a**2 + 5*a**2 - 2*a**2. What is v(j(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 5*p**4\/24 + 95*p**3\/6 - 49*p**2. Calculate the smallest common multiple of o(-17) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 17*s + 48. Give j(18).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-9)*8\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1000*w + 289987. Give g(290).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 15309?\nAnswer: -15309.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:45 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.073\nAnswer: 0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - l - 1. Let c(q) = q**3 - 4*q**2 + 5*q - 2. Let x be c(4). Let w = x + -19. Let v be 4\/(0 + -4) + w. Determine i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 124 = -77. Let p = 608\/3 - c. Let v = 2.5 + -2.5. What is the second smallest value in 3, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5 + 1 + 3 + 8. Let g be z(4). Suppose 2*p = g*s - 5*s - 172, 442 = -5*p - 2*s. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5361 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1845440502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 9. Let d be x(8). Suppose -d = w - 0*p + 5*p, -3*w + 3*p = -21. Calculate the remainder when 35 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12088, 12083, 12078, 12073?\nAnswer: 12068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-139)\/(-834)*(-4)\/(-1). Put g, 3\/5, 15, 13 in increasing order.\nAnswer: 3\/5, g, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*t - 7*c - 21, t - 11 = 3*c. Suppose 4 = 2*p + t*p. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9987794?\nAnswer: 2, 4993897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 167 = -601. Let p be (-18)\/12*c\/6. Let r = -39 + p. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-17)\/2) + (-1)\/2. Solve -a - 4*g - 12 = -0*a, 3*g = 4*a + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 divided by 1?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -3294\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*1\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15175*v. Let b(k) = 80*k**2. What is b(c(g))?\nAnswer: 18422450000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 2*i**2 - 3*i**2 + 10*i**3 - 88*i**4 + 89*i**4 + 3*i**2 in the form t + b*i**4 + v*i**3 + n*i**2 + d*i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.4 - 18.2. Let t = c + 8.8. What is the nearest to 0 in -0.2, t, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32876681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 11 in descending order.\nAnswer: 11, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 2\/3*l**3 - 1\/30*l**6 + 0*l - 3*l**2 + 0*l**5 + 0 + 0*l**4. What is the derivative of j(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 2 = 55*k, -5*k = 2*l - 1. Suppose l*y = 98 - 65. What is the lowest common multiple of y and 127?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4)\/(33\/(-22)). Let f = 10 - 10. What is the closest to 0.4 in c, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9, -4*m + 2171 = -10*z + 11*z. Let h = 84 + -33. Let j = m - h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 3*v**2 - v**2 + (-9*v - 1 + 1)*(-5*v + v - 3*v) - 2*v**2 - 2*v**2 + 6*v**2 + (2*v - v + v)*(-3*v - 4*v + 5*v).\nAnswer: 57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(33)\/sqrt(3))**2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g + 2. Let k be y(-2). What is the third biggest value in 2\/5, 0.6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2376)\/360)\/(11\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 13 = 2*n. Let j(r) = 5*r**3 - r. Let u be j(-1). Let s(l) = -l**3 - 3*l**2 + l. Calculate the least common multiple of n and s(u).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/811760 and -93\/8176?\nAnswer: 5682320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/5 + 4*n**3 - 24*n**2\/5.\nAnswer: -4*n**2*(n - 3)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3908, -3966, -4130, -4454, -4992, -5798, -6926, -8430?\n\"Answer: -9*t**3 + t**2 + 2*t - 3902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16310 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 - (4 - (-306)\/(-60)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113572\/91 + -1248. Let d = 434818569\/2002 - 2389118\/11. Let g = d + c. Find the common denominator of -1\/10 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*c, -i = -c - 4 - 11. Solve 5*s = 3*a + 5 + i, 14 = 3*a + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-63))\/((-1687)\/(-189) - 9).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67998882 is divided by 109.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 + 220. Suppose 0 - 4 = u + 2*z, -2*z = 4. Solve -15 = 2*r - 5*a, -t*r - 3*a + 9 = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/(-10) + 19 + 2 + 0. Put y, -0.09, 0.2 in decreasing order.\nAnswer: y, 0.2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 2, 99, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w**2 - 4*w + 6 - 12 + 8 - 5 - 4 - w**3 as k*w + o*w**3 + t + q*w**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-5 - (-1 - -10 - 7)) - 11\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 106*y + 215. Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 10*u**2 - u + 12. Let s be c(10). Suppose 0*x = -s*x + 16. Calculate the greatest common divisor of 64 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - (1 - 4)) + 3. Let j = f - -4. Suppose -2*z = -z - j. Solve z*i - 10 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*l + 9, -5*v - 32*l - 22 = -33*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22058 - 18.6.\nAnswer: 22039.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -26 - (-26 + -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 2*y**3 - 2*y + (0*y - 3*y + 2*y)*(0 + 0 - 4)*(53 + 59 - 5*y**2 - 114).\nAnswer: -18*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = -2*l - 6, -4*w - 10 = -3*l. Suppose -2*g - 2*h = -5 - 17, -l*g + 2*h + 2 = 0. Solve -g = -z - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141101804*c*t**2 + 2*c*t - 676*c + 17773*t wrt t?\nAnswer: 282203608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 62. Calculate the least common multiple of i and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 107550*l + 148 + 1478272*l - 148.\nAnswer: 2*l**2 + 1585822*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909 is divided by 1907.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 182, 263, 344, 425, 506?\n\"Answer: 81*k + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8 = 3*l. Let q be (-15)\/l - (-1)\/4. Solve -q*i - 1 = 3, 6 = h - 3*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (-8 - -8) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12124*f + 885099. Calculate b(-73).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 7:08 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12227*q**2 + 1070*q + 5368. Is o(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y + 70. Let i be q(-7). Let o(d) = -d**3 + 2*d**2 + 1. Let f(l) = -2*l**3 + 5*l**2 + 3. What is i*o(w) + 3*f(w)?\nAnswer: w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 3. Let s(g) = -g + 2 + o*g - 4*g. Give s(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + 9 = 3*i, -3*i + 5 = w. Suppose -b = v - 2*b - 8, -v - 5*b + 8 = 0. What is the smallest common multiple of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788606.1km to centimeters.\nAnswer: 78860610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwffraffsrfw. Give prob of sequence rfas.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2829 + 0.0829. What is the nearest to 2\/3 in -0.3, 4, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 602.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70384 by 212.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*p = 7 + 10, 0 = 3*m + p + 12. Let a(k) = -2*k - 12. Let u be a(m). Let x = 3 + 0. Put x, -5, u in increasing order.\nAnswer: -5, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2735*u**3 + 5493*u**3 - 2751*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -43. Let f = -16 - h. Which is smaller: -2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4 - 4)*(430*m - 15 + 2*m**3 - 430*m)*(m - 7*m + 2*m).\nAnswer: 16*m**5 - 120*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218412444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19207850 or 19207852?\nAnswer: 19207852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4046 divided by 119\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/7 + 18*f**2\/7 + 3*f = 0. Calculate f.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 457 + -445. Calculate the remainder when 103 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 33.9. Which is the third smallest value? (a) -6 (b) 0 (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278460648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2646 or 13654?\nAnswer: 2646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + -187. Let u = r + 214. Let v be 1 - (-7)\/(-4) - -1. Which is the third biggest value? (a) u (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -976 - -1006. What is the smallest common multiple of 447 and x?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 367443522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 239950*n + 2880120.\nAnswer: -5*(n - 48002)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243973 is divided by 81321?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m - 12 + 12)*(-3 + 0 + 2)*(-5*m + m**2 + 5*m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let h(t) be the third derivative of -t**4\/3 - 5*t**2. Suppose -4*v = -3*r + 28 - 46, -2 = -5*r - 4*v. Give r*h(a) + 9*p(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -1778, -4003, -7118, -11123?\nAnswer: -16018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/7 - (-8)\/(-20). Sort x, 48\/5, -0.3 in descending order.\nAnswer: 48\/5, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71214 and 936.\nAnswer: 854568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/64943864 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 - 6*g**4 - 9*g**3 + 4*g**2 + 12*g = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, j: 1, y: 2, o: 4, g: 2}. What is prob of sequence yj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*x + 58. Let c = x - -14. Solve -i - r = 0, 0 = -i - 2*r - c - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1171084 to 4 dps.\nAnswer: -0.1171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 - 47941*v**4 + 4*v**3 - 2 - 2*v**2 + 47974*v**4 to the form k*v + d + o*v**2 + g*v**4 + y*v**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 9, 1 in descending order.\nAnswer: 97, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -143382 (base 9) in base 16?\nAnswer: -156f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let f be d(0). Suppose 5*x - 4*v = -v + f, -2*v = -5*x + 4. Suppose 0 = 5*p - 12 + x. Which is bigger: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 4)*(967*d**2 + 1298*d**2 - 47*d**2 + 47*d**2) to the form n*d + g + i*d**2 and give i.\nAnswer: -9060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2))**(8\/9) assuming y is positive.\nAnswer: y**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11960, -47641, -107008, -190061, -296800, -427225, -581336?\nAnswer: -759133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -495552 and -0.24491.\nAnswer: -495552.24491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4879682 + 3473861?\nAnswer: -1405821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Let p(x) = 635571*x**2. Give p(a(z)).\nAnswer: 2542284*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 1 + 2*s - s**2 - s**4 + 0*s - s**2 to m*s**2 + f*s**3 + q*s**4 + a*s + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -216220 divided by -20?\nAnswer: 10811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 423? (a) -3 (b) 1 (c) -10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 114, 2, 0, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s - 20 = -j + 18*s, -4*j = 4*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 2*a. Calculate the lowest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 586*z**3 + 42630*z**2 + 43218*z.\nAnswer: 2*z*(z - 147)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*b = 157 - 1357, -744 = 3*n + 3*b. Let v be n\/(-3)*1155\/140. What is the highest common divisor of 61 and v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -35656635?\nAnswer: 35656663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, b: 7}. Give prob of sequence bww.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6406472681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(1*sqrt(228) - sqrt(228)))\/((sqrt(108) + (sqrt(108) - sqrt(108)*1))*-3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 + 18 - 13*a**2 - 27*a + 39*a + 8*a**2. Give j(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138 - -148) + (-4 - (0 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 7930 - 3950 - 3980 + 37*j**2.\nAnswer: 38*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q + 1\/10*q**5 + 0*q**6 + 0*q**7 + 0*q**3 - 6*q**2 - 1\/84*q**8 + 0*q**4 + 0. What is the third derivative of u(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-8 + -267))\/(1\/31). Let k = m - 5250. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 17*c + 2*z - 314, -4*c + z = -233. Calculate the lowest common multiple of c and 1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 6*h - 3. Let a be g(5). Let n = -15020 + 270455\/18. What is the common denominator of 1446\/(-280) + a\/(-7) and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*h - 14, -l - h + 0 + 7 = 0. Suppose -2*c = -8, -l*j + 4*c = j + 22. Is ((-1)\/2)\/(j\/1580) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/35182 and -113\/122556?\nAnswer: 307983228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1717152*g. Let l(q) = -2*q. Give y(l(x)).\nAnswer: -3434304*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 58*v**5 + 136*v**5 + 4 + (-4*v + 4*v + v)*(0*v + 3*v + 0*v)*(v**2 + 4*v**2 - 6*v**2)*(2*v + v - 2*v).\nAnswer: 75*v**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9493.209 meters to nanometers.\nAnswer: 9493209000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - b + 92 = 0, -2*i + 2*b + 5 = -93. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360416?\nAnswer: 2, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 143*a + 10. Let k be f(1). Is 184 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 2 + 2*b - 3 + b**2)*(-3*b + 62 - 62 + (-1 - 3 + 6)*(0*b - 3*b + b)) to the form t*b**3 + k*b + p + v*b**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1056992*d**4 + 146*d - 3202.\nAnswer: -12683904*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2\/2 - 9*y + 4. Let a be l(5). Suppose 3*r + 3*z = 12, -r + 4*z = -0*r + 21. Put 4, a, r in descending order.\nAnswer: 4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minus 19747919707.98?\nAnswer: -19747919534.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143060 and 13777?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 5. Let l be h(-10). Let a(k) = l*k - 2*k + 1 + 2 + 3. Calculate a(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*g**3*h - g**3 + 429*g**2*h + 21373*g*h + 5*h + 2 wrt g.\nAnswer: -540*g*h - 6*g + 858*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/20 - 2\/(-10))\/2. Suppose f = 2*m - 8119 - 6351. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -420 - -251. Let a = g + 168.9999827. Round a to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -351?\nAnswer: -30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963409084 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.87762ug to milligrams.\nAnswer: 0.02187762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429440*z**4 + 20*z**3 + 5*z - 175422619 wrt z?\nAnswer: 1717760*z**3 + 60*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.28 + -0.52. Let p = i - -140.2. Let q = -99 + p. What is q rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78149 and 53397?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66e0 (base 15) to base 5.\nAnswer: -1144220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420076820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420 - 420.2. Which is the nearest to -1? (a) -2 (b) h (c) -3\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*q + 32, 3*q + 0 = 4*r - 59. Sort 1, r, -2 in ascending order.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117660845 + 31567414 = 3*l. Suppose -13*a = -67257247 - l. What is a rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -96.3. What is j rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 12:57 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5085719000 rounded to the nearest one hundred thousand?\nAnswer: 5085700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 29.8.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1008) - (sqrt(1008) + -1 + -1)) - ((-2*sqrt(1008) + 1 - sqrt(1008)) + 3).\nAnswer: 3 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -101*k + 417. What is n(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + (sqrt(567) - (5 + sqrt(567)*2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/12 (b) 4663.1 (c) 0.049 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0 + (57 - (35 - (15 + -43))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27864, 27779, 27694?\nAnswer: 27609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*2 + -5 + 2 + -3 + sqrt(128) + -5 + sqrt(128)*-3)*5)**2.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 2201284 - 1100873 - 1100411.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-3) - -4)\/(2*(-7)\/(-441)). Which is the second smallest value? (a) k (b) 0 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -619188 by -206396.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvqwwvqvvqqvwvwvww. Give prob of sequence vww.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 47869 - 8549. Is 3 - (-22)\/(-11) - f\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1673*d**2 + 1785*d**2 - 20*d - 23*d + 43*d.\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/3 - (-2)\/(-3). Suppose w - 3*s + 8*s = 14, 0 = -w - 4*s + 14. Calculate the greatest common factor of w and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1880682618 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26800 and 100299?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4177132596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3099 is divided by 566.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-130))\/(-1*1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2957*k - 1230108. What is l(-416)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61794 and 432?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(1200)*-2 - sqrt(1200)) - ((sqrt(144)*-1)\/sqrt(2))**2.\nAnswer: -72 - sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427785 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 8}. Give prob of picking 2 c and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5726, -2\/21, -14, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144561, 578230, 1301011, 2312904, 3613909, 5204026?\n\"Answer: 144556*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2042256 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 716*w - 79 + 36 + 43 as d*w + i and give d.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 15. Let v(p) = 1. Let t(d) = -d**2 - 3*d + 1. Let g be t(-3). Let n(r) = g*b(r) + 6*v(r). Calculate the lowest common multiple of 10 and n(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 16. Is r < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) + (2*sqrt(5)*-3 - sqrt(5)).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5\/13 + 1708*z**4\/13 + 159030*z**3\/13 + 1304300*z**2\/13 + 768208*z\/13 - 8053248\/13 = 0.\nAnswer: -749, -96, -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328 or -1324?\nAnswer: -1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14307 + 14352. Let t(s) = -4*s**3 + 180*s**2 - s + 45. Calculate t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*d + 18, -3495*d + 13 = -3*g - 3496*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 1782283.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081173 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20790 and 284823.\nAnswer: 2848230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f - 738. Give y(-57).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*x - 44, -2*q + 6*q = 2*x. Solve 20 = -x*w + 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 2*x**3 - 487*x + x**2 - 303*x - 394*x.\nAnswer: -2*x**3 - 1184*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -47 - 92\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-50)\/375)*(315\/54 + -6)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/(g*(g*g**(-6))\/g)*(g**2)**(4\/3) assuming g is positive.\nAnswer: g**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)\/w)**(-43)\/(w**10*w**(5\/7)) assuming w is positive.\nAnswer: w**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -6. Let i be (-8)\/(-1)*(-2 + 1). Let x = f + i. Solve 2*j - x = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y + 4. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 e, and 1 b when four letters picked without replacement from {e: 1, s: 4, h: 5, b: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + -0.1. Let r = 4.51 + -4.31. Put r, -0.3, s in descending order.\nAnswer: r, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 68*v**2. Let g(w) = w**2 - 51*w. Give g(k(p)).\nAnswer: 4624*p**4 - 3468*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9575350.\nAnswer: 2, 5, 191507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnyyjy. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*s + 65, 2*s - 8 + 5 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - 352. Is -2 + (0 + b\/(-16))*4 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119.961ml in litres?\nAnswer: 3.119961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/28*1*-49. Calculate the remainder when 1*z*(-4 - -5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635900 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541476*o*p**2 + 3204570*o*p - 4*o - 7*p**3 wrt p.\nAnswer: 1082952*o - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x**2 + 31*x - 31*x)*(-1 + 15 - 1) as d + v*x**2 + s*x and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h = -61*h - 1, -4*d - 3*h + 1011 = 0. What is the greatest common divisor of d and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 47*m**3 - 14*m**2 + 228*m. Let x(z) = 16*z**3 - 5*z**2 + 78*z. Determine -5*l(h) + 14*x(h).\nAnswer: -11*h**3 - 48*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2363, -2270, -2179, -2090, -2003?\n\"Answer: -b**2 + 96*b - 2458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12429968*g**4 - 16053395*g**2?\nAnswer: -298319232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 76\/(-10) - (-12)\/(-30). What is the tens digit of (-74)\/u - 6\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*p + 12002 = 0, -4*f + p = -7*f + 18013. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 714 - 5544 - 9246 - 4550 - 3179 to the form c*z + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152.74 - 162.74. What is the third biggest value in 1\/3, -1, -46, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/78 and -27\/754?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174 + (-195 + -83 - -139)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a - 123. Let h be k(10). Suppose -37*v - 8 = -33*v. Put h, -1, 2, v in decreasing order.\nAnswer: 2, -1, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59238*a*n**3 - 27*a*n - a - 10*n**3 + n**2 + 30320*n - 2 with respect to a.\nAnswer: 59238*n**3 - 27*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11244.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -8.\nAnswer: -8, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 74\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:51 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c37 (base 15) in base 7?\nAnswer: -23602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15620 = -438495*n + 438715*n for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 1 - 1)*(6*o**2 - 8*o + 8*o) + 2 + 0 + 55*o**4 - 23*o**4.\nAnswer: 44*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 5. Let y(p) = -p**3 - 2*p**2. Let n be y(-2). Let l be t(n). Solve -l*s + 27 = -2*w, 8 = 5*s - 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 2. Suppose -8 = 3*a - a. Let p(c) = -10*c + 4. Let x = 9219 + -9226. Determine a*p(n) + x*g(n).\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 - 6*y - 2. Let t be i(7). Let v(m) = 3*m**2 - 7*m + 5. Let l(a) = -5*a**2 + 11*a - 8. Determine t*l(b) + 8*v(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(2448) + sqrt(2448))*1 + 0 + 2 + sqrt(2448))**2.\nAnswer: 288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Let m be (1\/(-1) + -3)*(-6)\/(-12). Sort w, m, -3 in descending order.\nAnswer: w, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44\/7 + 6. What is the third smallest value in -0.3, 1\/3, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 32\/9 - (-136)\/(-306)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1150 + 1149.481. Let v = -39.781 + z. Let q = v - -38. What is q rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -872 greater than or equal to -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 + 6. Let v be t(-7). Let g = v + 556. What is the tens digit of g*(6\/(-16))\/((-18)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227935?\nAnswer: 5, 45587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 922 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129808485 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = -394. Let j = v + 5908\/15. Let l = -161\/6 + 27. Put 1\/2, j, l in ascending order.\nAnswer: j, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:00 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 5*b**2\/2 - 11*b + 2. What is the remainder when j(9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*k - 4, -4*n = 2*k - 1 - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**6\/40 - 5*i**3\/6 + 4*i**2. What is the derivative of j(k) wrt k?\nAnswer: 63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*u + 10, 3*u - 9 + 2 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 6*s + 10. Let f be x(-7). Let t be -2 + f + -1 + 2. Suppose t*q = 4*q - 22. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u + 4. Let c(t) = 2*t - 1. Determine -26*c(y) - 6*f(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57737\/9 - 6415. What is the nearest to -0.5 in 13, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 19*x**2 - 3*x - 13. What is the hundreds digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*h - 430 = 0, 0*h + 330 = 4*g - 3*h. Calculate the highest common factor of 168 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 2. Let k(l) be the first derivative of l + 19. Let r(o) = h(o) - 2*k(o). Let p(d) = d. Determine r(p(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-24))**(-27\/5)*h**(-7\/5)*h\/(h\/(h\/h**(14\/5)*h))*h)**(-1\/10) assuming h is positive.\nAnswer: h**(-321\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010011000001000110 (base 2) to base 11.\nAnswer: -1a709a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 83.44869 millennia?\nAnswer: 8344.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + 4*a - 8. Let k be c(-4). Let d = k + 9. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -1113*w**5\/20 - 7*w**4\/3 - 2*w**2 + 89*w + 8. What is the third derivative of b(n) wrt n?\nAnswer: -6678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 4001391.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**2 + 1. Let u be w(1). Let d = u + 22. Let k = 2 - -2. Solve -y - d = 3*z, -y + 2*y = k*z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 0)*(-242 + 242 + 19*b**4) - 5*b**2 + 39*b**2 + 7*b**2 + b**4 as c*b + w*b**3 + d*b**2 + u*b**4 + l and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 90.737.\nAnswer: -4264.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7*v + 2612 = -11*v, -5*j - 5*v = -3315. Let h = j - 465. List the prime factors of h.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.3, 0.036?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 a when three letters picked without replacement from {a: 8, d: 3, c: 7}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*39\/91)\/(2\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1936*k - 2. Let b(m) = 9*m. Give -8*b(d) - f(d).\nAnswer: 1864*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 21. Calculate the remainder when 41 is divided by -3 - (-21 + (x - 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 768.8169s?\nAnswer: 0.21356025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 24804 - 19851 = 0. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(3\/7)))\/q)\/(q*q\/(q\/q**(2\/17))) assuming q is positive.\nAnswer: q**(-303\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -323460931*b*n - 74798331*n wrt b?\nAnswer: -323460931*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1 - ((-203520)\/(-50))\/(18\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, -6, 2, -89, -3.\nAnswer: -89, -24, -6, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v. Let p(h) = -7*h. Determine 4*p(s) - 3*r(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w. Let z(q) = 2*q**2 - 3*q - 3. Let g(y) = 5*y**2 - 5*y - 5. Let t(m) = 3*g(m) - 5*z(m). What is p(t(d))?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 2, m: 5, f: 1, t: 3, i: 1}. Give prob of sequence fi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3567 - -5496. Is 42 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123847981 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-15))\/((-13)\/(-195)). Let n be 140\/(-80) - 3\/w. Which is the smallest value? (a) -4 (b) n (c) -0.3 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(-1 - 2 + 2)*(-3 + 2 + 3)*(2 - 4 + 4)*(428*f**2 + 180*f - 181*f - 91*f**2).\nAnswer: 2696*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299) + (sqrt(2299) + 1)*-4)**2.\nAnswer: 264*sqrt(19) + 20705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 48363*c - 241846. Determine n(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7611 - 7516. Solve -w*t - 12 = -101*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:44 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6656*d - 464320 + 1382431 = -3897*d for d.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -198*y**5\/7 - 182946*y**4\/7 + 5742*y**3\/7 + 182946*y**2\/7 - 792*y = 0.\nAnswer: -924, -1, 0, 1\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -719, -2633, -5755, -10085, -15623, -22369, -30323?\nAnswer: -39485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -615*x**4\/4 - 1239*x**2\/2 - 280*x + 2. Find the first derivative of c(j) wrt j.\nAnswer: -3690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -h + 4*h. Suppose 3*a + 9 + 5 = -h*g, g = 4*a - 12. Suppose 4*m = -3*u + 2 - 1, 0 = -a*u + 2*m + 10. Is u bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/(-98)*96\/(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 - 188 + 100 + 2*a**2 + 3*a + 92 + 0*a**2 to g*a + q + l*a**2 + o*a**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 3168*i - 65651. Give d(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -15. Suppose 0 = 4*h - d - 0. Solve 2*b - 3*z - 9 = 0, z + 3 = -h*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2535*g - 20181. Determine f(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118880 = -24*b + 964676 + 302532. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65925211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:35 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-256)\/(-42) + 0. Factor -2\/21*d**2 + 2\/21*d**3 - 2\/21*d**5 + 0 + 0*d + z*d**4.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 187234717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049625861 rounded to 5 dps?\nAnswer: 0.04963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99353141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u. Let k be b(5). Factor -24 + k*m**2 - 2*m**4 + 24 - 3*m**2.\nAnswer: -2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 5:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*b - 16, -3*l = 5*b - 16 - 1. Solve -b*d - 17 = -25 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13008972 is divided by 3252231.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 8708.721?\nAnswer: -8714.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8112005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.0657, 2, -1\/4 in decreasing order.\nAnswer: 2, 0.0657, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*t + 875, 3*g - t = -0*t + 1285. Let a = -213 + g. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -145. Suppose 11*z + c*l = 16*z - 10, -18 = -2*z - 5*l. Solve -v + 5*k = -z - 2, 3*k + 2 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - -44. Let k = 79 - x. Suppose -k*c + 43 = 13. Solve 11 = -5*h - c*g - 0*g, -4*h - 4*g = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336 - -332. Let t = 8 - n. What is the greatest common factor of 64 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20963 is divided by 238?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 5*y**2 - 28*y - 4. Let c be r(8). Let u(s) = 4*s**2 + 78*s - 74. Is u(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.8, 686, 1\/5?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)\/(z*z**(-17\/4))*(z*z*z**(-3\/2))**39 assuming z is positive.\nAnswer: z**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let y(r) = -10*r + 2. Calculate -3*m(w) + y(w).\nAnswer: -13*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52645, -105286, -157927, -210568, -263209, -315850?\nAnswer: -368491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 163. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 322*c*d**2 + 25*c - d wrt d?\nAnswer: 644*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 795 and 822.\nAnswer: 217830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1048 - 383. Let a = q - -234169. Round a to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557727 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2. Let c(n) = 4*n. Let g(s) = 8*s. Let b(x) = 5*c(x) - 2*g(x). Give b(r(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2 - 3*o - 33. Is z(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**2 + 18*s**2 - 6*s**2 + (-5*s + 4*s + 3*s)*(0 + 0 + s).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2041 - -59?\nAnswer: 209a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4 - 180*g**3 - 9974*g**2 - 119508*g + 2775663 = 0?\nAnswer: -69, -53, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 889782 + -5.\nAnswer: 889777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 - 3. Let i(f) be the first derivative of -23 - 1\/3*f**3 + 0*f + 0*f**2. Give i(u(x)).\nAnswer: -64*x**4 - 48*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + 41243?\nAnswer: 41004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168200*s = -170998*s - 5596 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -5*r - 13167. Let h = 987 + r. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5842 - 438*p + 2917 + 2925.\nAnswer: -438*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 3. Let u = 1 + q. Let i = -1 - -1.1. What is the closest to i in u, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94077.\nAnswer: 3, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 6 - (24 - 13)) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 l when three letters picked without replacement from eleuddlldfeeuffeuefl?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + sqrt(1377)*2 + -3 - ((sqrt(1377) + sqrt(1377)*-1)*-5)**2.\nAnswer: -3 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34030581 - 4?\nAnswer: 34030576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4113689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -5*d + 2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 215 = 0. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115791898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/12)\/5)\/((-3)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552061 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*b**2 + 1 + 5)*(20*b**2 + 84*b**2 + 33*b**2).\nAnswer: 411*b**4 + 685*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7.1. Let d be -5*(-2 - 3\/(-2)). Which is the nearest to -0.1? (a) k (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93571 and 29369.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 354 and 234.\nAnswer: 13806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -314? (a) 1\/65 (b) -1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*p - 2. Solve 2*v + p*r = -3*v - 19, 0 = 2*v + 2*r + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a + 168. Let x(w) = -4*w + 57. Let o(r) = 6*m(r) - 17*x(r). Calculate o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 - 4*g - 5. Let v be f(-2). Suppose 4*i + i = 60. Calculate the highest common factor of i and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**2 - 6*s**4 + 3*s**4 - 4*s + 5 + 11*s**2 + 2*s to the form w*s**4 + x*s**2 + v*s + i + c*s**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99098.79t to micrograms.\nAnswer: 99098790000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from izcjrhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/30 - 1849*m**4\/6 - 3418801*m**3\/3 + 45*m**2 - m + 3. Find a such that o(a) = 0.\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17*a**3 - 2*a**2 + 4*a + 11. Let o(r) = 8*r**3 + r**2 - 2*r - 6. Determine -6*c(p) - 11*o(p).\nAnswer: 14*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2\/9 + 3240*s + 38944 = 0. Calculate s.\nAnswer: -12, 7302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10030 + 481379\/48. Find the common denominator of t and -67\/14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/12 or -3?\nAnswer: -35\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -875? (a) -3\/2 (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -9, 0, -2\/11.\nAnswer: -9, -4, -2\/11, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a + z = 126, 5*z - 118 = -4*a. Let l(x) = 2*x**2 + 10*x + 2. Let j be l(-7). Which is greater: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/((-5082)\/636 + 8) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146313777?\nAnswer: 3, 48771259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - -32. Suppose -5*j - 2*k + u = 0, -5*j + 6*j = -3*k + 26. Suppose 3*h + j = 95. What is the remainder when 100 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 49*a - 5. Let w = -360 + 363. Let y(q) = -27*q + 3. Let o(d) = w*k(d) + 5*y(d). Let m(i) = -3*i. Give m(o(b)).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/5 + 49*l\/5 = 0. Calculate l.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 3*a**3 + 113 + 0*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 4*s - 20. Let z be n(-8). Let c be 102\/5 - 4\/10. Calculate the highest common divisor of c and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092639602 to seven dps.\nAnswer: -0.0009264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (4 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*k - 5*k. Let b be 507\/6 + 5\/k. Is 5\/1*(b - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 572\/3 + 1 - (-4)\/12. Suppose 0 = 7*m - y - 284. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 20. Let v be m(21). Let x = -45 - v. Suppose -x*p = -34*p - 186. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 16*c**2 - 23*c - 18. Let h be z(-15). Suppose -5*r + 198 = -h. What is the greatest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1281 and 0.004?\nAnswer: 1281.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*m**2 + 20*b*m - b + 278 wrt m?\nAnswer: -6*b*m + 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33118 and 10849?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 20. Let u be g(5). Let o = -34 - -36. Let m(z) = z - z - 8*z**3 - o*z - u*z + 7. Let b(k) = -7*k**3 - 6*k + 6. Calculate -7*b(j) + 6*m(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 - 23305*a**2 + 46705*a + 349725 = 0. Calculate a.\nAnswer: -4663, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:44 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397405 is divided by 465786.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/35 + 24462\/(-270) + 89?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*j + 1 = -4, 3 = j. Let d(l) = l**w + 947*l - 947*l. Let t(h) = 15*h**2. What is t(d(o))?\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002438593 to five decimal places.\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22735*-176.\nAnswer: 4001360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 13*w + 16. Let p be m(-12). Suppose 3*u + 9 = f, p*u = 3 - 11. Factor -2\/3*j**5 - 4\/3*j**4 + 0 + 4\/3*j**2 + 0*j**f + 2\/3*j.\nAnswer: -2*j*(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.2 (c) -21963681 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 12401785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 82*p**5\/15 - 7856*p**4\/15 - 13534*p**3 - 13104*p**2\/5 = 0?\nAnswer: -21, -8\/41, 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 + (-3 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 3. Let s be (j - 1)\/2 - -47. Suppose -2*d + 160 = -4*l, -13*d + 2*d + 3*l = -880. What is the greatest common factor of s and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103030369 is divided by 887?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2 - 5170*t - 1336445 = 0.\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 21*m - 190. Let u be w(-10). Which is the biggest value? (a) -2\/3 (b) 1 (c) 7\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (5 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (-1 + sqrt(567) + 0)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -114033.\nAnswer: 22\/38011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 - n - 6*n**2 + 0 - 1. Let b(f) = -2*f**2 + 3*f + 3. Let q(c) = -b(c) - 3*z(c). Let h(r) = -2*r. What is q(h(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4461, -8715, -12969, -17223, -21477?\nAnswer: -25731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -762, -5644, -18788, -44334, -86422?\n\"Answer: -690*k**3 + 9*k**2 - 79*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8014272 and 83\/3024.\nAnswer: 72128448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, -5\/79, -3?\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 270 (b) -11 (c) -1\/3 (d) 2 (e) 20.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 16. Let a be k(-11). Is -5 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 41513350?\nAnswer: -41513345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -10*q**2 - 6*q + 4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13056 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/48 and ((-10395)\/3645)\/(1*4).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 3*p**2 - 1. Let v be s(-2). Suppose 3*j = -9, -v*j + 4*j = -5*u + 127. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 760 - 284 = -62*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-9) - 15\/9*(-24)\/(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 + 20 = 0. Let c(f) = 8 + f - q + 9. What is the remainder when 15 is divided by c(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:10 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107.534 and 1?\nAnswer: -107.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 315 (b) 1957 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -17 - (13 - 2)) + 0 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 2\/3*z**5 - 106*z**2 + 0*z**3 + 2*z + 0 - 17\/12*z**4. What is the second derivative of n(k) wrt k?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*v - 558*v - 437*v - 30225 = -192*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 113. Let k be (1 - -5)\/(4\/(-6)). Let v = t - k. Solve n = v - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -120*v - 1. Let k(p) = -122*p - 2. Give -2*k(i) + 3*q(i).\nAnswer: -116*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - n**2)*(-120775*n**3 - 124561*n**3 + 232647*n**3 + 0*n**3 + n**3 + 0*n**3 + (-2*n**2 + 4*n**2 - 3*n**2)*(4*n - 5*n - n) - n**3 + 1 - 1).\nAnswer: 12687*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22677, -45609, -68961, -92943, -117765, -143637, -170769, -199371?\n\"Answer: -35*i**3 - 22687*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/1259 + -142555\/22662. Calculate the common denominator of -57\/14 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8611 - 8612. Which is the biggest value? (a) -0.92 (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15668412 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccchvhvbbvhhvcxvva. Give prob of sequence cv.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 - 14 + 14 + (4*w - 2*w - 4*w)*(2*w**4 + 0*w**4 + 2*w**4 + (1 - 2*w - 1)*(w**3 + w**3 - w**3)).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 201*r**6\/10 + 1999*r**2 + 5928*r. Find the first derivative of n(p) wrt p.\nAnswer: 2412*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*h - 4*f, 2*h - 2*f - 12 = -0*f. Solve 0 = -p - 2*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + 2 + 4)*(-2)\/(-4). Solve 0*q + 3*q + w = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) -0.075 (c) -0.541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(-1\/13)\/((((c*c**(-8))\/c)\/c)\/c**(2\/3))*((((c*c*c**7\/c)\/c)\/c)\/c)\/(c\/c**(1\/2))*(c*c**2)**(19\/4) assuming c is positive.\nAnswer: c**(13307\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.048 + 0.04800053. Round i to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1058.75 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/3 - 5*b**3\/3 - 68*b**2\/3 - 60*b - 48 = 0.\nAnswer: -3, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.97 + -1.426. Let h = g + -0.244. Sort 14, h, -4, -0.07 in ascending order.\nAnswer: -4, -0.07, h, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 201212100?\nAnswer: 201212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 6. Let x(o) = 130 + 131 - 266. Calculate -5*c(t) - 6*x(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 2472.\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 177187884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 1, -42, -119, -242, -423, -674, -1007?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 7\/((-49)\/42))*20. Suppose 2*z - 3*l = 10, 4*z + w = 9*z - 5*l. Let v(i) = -3*i. Let h be v(-1). Solve -5*n + 11 = -n + h*r, -z*n - 4*r = 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5325400726 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -544*j - 1956. What are the prime factors of x(-13)?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(48\/((-518400)\/1950))\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 150533 (base 6) in base 16?\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -248, -339, -430?\n\"Answer: -91*x - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-52.4\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 5. Determine z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729 is divided by 722.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32746212 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.475 + -12. Let w = -0.615 + 0.6. Let f = w - x. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13806 - -26306. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:57 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h**5\/5 - h**3 - 4*h**2 - 4*h. Let t(k) = 7*k**3 - 5*k - 7. Calculate -7*t(f) + 6*y(f).\nAnswer: -f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -7*w - 150. Let j be 6\/w + (-14)\/(-5). Suppose -o = j*o. Solve o*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -11, -44, 0, 2 in descending order.\nAnswer: 2, 1, 0, -8, -11, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 + 440\/77. Let g be (-2)\/6*(-36)\/o. Suppose z - g*z = -11. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28174*o**4 - 5*o**3 + 981*o + 538.\nAnswer: 338088*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.2 (c) 26 (d) -35 (e) 1\/144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 - 457\/4. Let f(p) = p**2 - 5*p - 28. Let l be f(-3). What is the second biggest value in 45, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 times 7\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 204 in -2, -3, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 661 - 661.3. Suppose 4*r + 5 = -r. Let q = 0 + r. Which is the nearest to q? (a) k (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 94*c - 2 - c**3 + 190*c - 96*c as x*c + y*c**2 + d + s*c**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5 - 2*j - j**5 - j**5 + 2. Find the first derivative of i(g) wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.753 - -16?\nAnswer: -52.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 2041 = 10609. Suppose a = -32*z + 1980. Solve -3*u + 56 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = h - 20, -3*j = 5*h - 20. Solve -5*t - 29 = 3*m - 15, 3*m + h*t + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 56*f + 3. Let b(u) = 2923*u. Calculate d(b(h)).\nAnswer: 163688*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 + 280139.\nAnswer: 279833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-30))\/(5\/10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.060067 and 5.\nAnswer: 4.939933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1130 or 4519\/4?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - (32 - 23 - (-8 + 6))) + -15\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 22*p**2 + 799*p - 820.\nAnswer: -(p - 41)*(p - 1)*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(1 + 0 - 3) + 1 - 6 + 2)*(1 - 1 - 2)*(x - 3*x + 3*x)*(-3 - 2 + 6).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 53\/(-6) - 17\/102. Let o be 18\/(-27) - 42\/g. Suppose o*p - 124 = 228. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 115766*r + 12734254. What is f(-110)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1186146513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2097 - 1448.2097. Let y = -1448.000000609 - j. Round y to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t. Let v be b(-2). Let l be (-3 + 5)*(-2)\/v. Let k = 0.2 - 0.3. What is the nearest to -2\/3 in l, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**3 + 191*p**2 + 1412*p + 99. What is r(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-4*v + 2*v + 0*v) - 3 + 3 - 2*v + (-2*v - 2*v + 3*v)*(0 + 1 - 3) + 0*v + 3*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 39. Let k(p) = p**3 - 7*p**3 - 19*p + 18*p. Give k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(1\/2)*(770490\/84 + -26)?\nAnswer: 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -26*z**3 + 114*z**2 - 11. Let k(p) = -5*p**3 + 23*p**2 - 2. Let l = 23 - 34. Let r(u) = l*k(u) + 2*x(u). What is the third derivative of r(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hzzhbhbbbzhzhbbbb.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/8 - 5*p**3\/2 + 325*p**2. Let v(u) = -u - 8. What is -5*v(w) + 2*x(w)?\nAnswer: -w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*u + 2 = 0, -2*u + 13 = -3*h + 15. Factor 0*c**3 + 1\/5*c**4 + h - 2\/5*c - 3\/5*c**2.\nAnswer: c*(c - 2)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -24518?\nAnswer: -3\/24518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973, 988, 1019, 1072, 1153?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/7 - (16 + -263)\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmii when four letters picked without replacement from immmiimmmimi?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*b + b + 4*p, 0 = 2*b + 5*p - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3195091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*d**3*u**2 - 458*d**3*u - 2*d**2*u**2 wrt u.\nAnswer: -280*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/15 - 6*j + 96\/5.\nAnswer: -2*(j - 3)*(j + 48)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*j - 279*j - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0972246 to three decimal places.\nAnswer: -1.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.29712 rounded to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-1 - -5))\/(1*6\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 1, u: 2, z: 2, j: 1, s: 8}. What is prob of picking 2 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -s - 3*v + 29, -405 = -3*s - 4*v. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 + h**4\/8 + 7*h**3\/6 - 375*h**2. Determine t(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26292127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -9.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 80, 14, 44, 3\/2, 1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5489.339 centimeters?\nAnswer: 54893390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10960*i = -402418 - 269960 + 157258 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - d - 6*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 42. Let a(l) = l + 2*l**g - 7*l + 6*l. Let v(k) = 14*k. Give a(v(f)).\nAnswer: 392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmimvvmmvvivv. What is prob of picking 1 i and 1 v?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 164\/14 + (-16)\/(-56). Suppose 5*k - 2*z = -0*k + 8, t = -3*z. Suppose k*q - 4*q = -108. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 59.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*u + 15. What is the third biggest value in 1, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337390070 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 3*x, -3*l - 3*x + 10 = -x. Suppose l*n - 5*n - 5*f = 22, 18 = -3*n - 3*f. Let y(u) = 9*u + 0*u**2 - 3*u + u**2 + 4. Determine y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -319\/48 - 1021\/240. Let n be 18\/3*(-713)\/(-4). Let a = 1102 - n. Calculate the common denominator of a and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14689.72 decades to years.\nAnswer: 146897.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105993797 to the power of 1\/3, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 224762 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose 0 = a*h + k - 3, 4*k = -16 - 4. Suppose 1769 = -4*j - 3*o, -h*o = j - 133 + 585. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t - 2*t**2 + 115*t + 1962*t**3 + 2 - 67*t.\nAnswer: 1962*t**3 - 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14434459.\nAnswer: 13, 85411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 13) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9304615 to the power of 1\/2, to the nearest integer?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**2)*l)\/l)\/l)\/(l\/(l**(-1\/2)*l)))\/((l*l\/(l\/(l**0\/l)))\/l)**(-26)*(l**1)**(-33)*l*l\/(l\/l**(-2\/3))*l*l**(2\/5)\/l assuming l is positive.\nAnswer: l**(-1853\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*v, -2*v = -g + 1 - 4. Suppose -1 = -2*q - 5*a + 28, g*a - 25 = 0. Suppose -2\/7*s - 2\/7*s**q + 4\/7 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-1))\/(-3))\/(2*39\/(-78))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*r**5 + 17\/4*r**2 - 1 + 35\/4*r**3 + 23\/4*r**4 - r.\nAnswer: (r + 1)**3*(r + 2)*(5*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v - 18. Let m be 86\/v + 4\/6. Let h = -5 + 8. Solve -i - i + 15 = 3*o, -h*o + m = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.5 (c) 0 (d) -118\/227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - 125. Find the common denominator of ((-6)\/(-72))\/((-2)\/o) and -67\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 3*z - 3. Let v(a) = -20*a**2 - 27*a - 39. Give -v(i) + 8*y(i).\nAnswer: 12*i**2 + 3*i + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02499457 to 4 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6857 - -6873. Solve 29*w - 31*w = -z for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 + 27 = 2*y, -5*b + 26 = 2*y. Let g be 0 + 3 - (y - -4). Let o(u) be the third derivative of u**5\/60 + 5*u**4\/24 + 4*u**2. Give o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 + 1 - 114*u - 9.\nAnswer: -114*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 1, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0103*0.2\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28606896 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2166092, 2166088, 2166082, 2166074, 2166064, 2166052?\nAnswer: 2166038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/(18\/15 - 1). Suppose 25*f - s = 22*f. Let n be (f\/(-39))\/(2\/(-6)). Let j(l) = l**3 - 5*l**2 + 2*l + 7. Give j(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-98)\/(-55)*(150\/(-174))\/(-5). Let d = z - -57\/29. Find the common denominator of 97\/10 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -4*y, -x + 23 = 5*y - 1. Suppose 6*z = z. Let a be 2 - -1*(z + 1). Solve y*q = -a*h - 25, q - 2*q = 2*h + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*5*(sqrt(475) + -2 + sqrt(475) + sqrt(475) + 2)*4)*3)**2.\nAnswer: 64800*sqrt(19) + 138510144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 416, 623, 830, 1037, 1244?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/10)\/12)\/((-25)\/675)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*p + 41*p - 295 - 1073 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.4 (b) -5 (c) 155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 100.46. Let d = w + -0.46. Let l = 0.4 - 0.2. What is the third biggest value in d, l, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 28 = -26, 0 = 4*n + 3*c - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/3 - 32002*d**4\/3 - 43682514*d**3 - 24102363142*d**2\/3 + 48597996928*d\/3 - 8121518080 = 0.\nAnswer: -7904, -195, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 4, g: 2, x: 4}. What is prob of picking 1 e and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 45685 = 32*s - 27*s, 0 = v + 5*s - 9121. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, j: 7}. Give prob of sequence jxjj.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 61.4. Sort 0.3, r, 9, -2 in increasing order.\nAnswer: -2, r, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 0.1, 1110\/31, -5, -3 in descending order.\nAnswer: 1110\/31, 0.1, 0.08, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*m + 2146 = 311*m. Solve -4*n + 14 = 5*s, -m = -3*s - 31 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**4 - 5019449*p**3 + 9*p**2 + 230811*p - 2 wrt p?\nAnswer: -216*p - 30116694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-2)\/(-8) - 1130\/1808)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42853477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 9*s**2 + 25*s + 5. Let c(u) = -2*u**3 - 4*u**2 - 12*u - 2. Calculate -7*c(d) - 3*m(d).\nAnswer: 2*d**3 + d**2 + 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 10.977. Let r = -4597 + 4591.977. Let v = r + c. Sort v, 0, -2, 1 in descending order.\nAnswer: 1, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(125) - ((sqrt(5) - (sqrt(5) + -1)**2) + 4).\nAnswer: -13*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3564\/60 - 4\/10. Suppose 9*o - 166 - m = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 693 + -3464\/5. Which is the smallest value? (a) -3 (b) y (c) 5.2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-4 + 4 - 2*d) - 1767*d + 404 + 577 + 1770*d.\nAnswer: -d + 981","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152273 is divided by 16947.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72634480, -145268947, -217903414, -290537881, -363172348?\nAnswer: -435806815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 24\/16 - (-50)\/4?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56680.4 rounded to the nearest 100?\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 28, 6, 2, -3 in decreasing order.\nAnswer: 28, 6, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiri when four letters picked without replacement from {b: 3, r: 1, t: 2, i: 3, a: 2, u: 4}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -0.143.\nAnswer: 2.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 119070680*y - 886114177228900 = 0.\nAnswer: 14883835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5))**(2\/141)*d**(3\/7)\/d**9)**24 assuming d is positive.\nAnswer: d**(-338624\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 31. Let f be t(7). Let n = -378 - -382. Sort -1\/4, 126, f, n in ascending order.\nAnswer: f, -1\/4, n, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y. Let q(t) be the third derivative of 0 + 1\/120*t**6 + 0*t**3 + t**2 + 1\/24*t**4 + 0*t + y*t**5. What is the second derivative of q(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2497384\/117 + 21345. Find the common denominator of -47\/351 and b.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.39 - 5.59. Let u = -27.9 + d. What is the closest to 1\/3 in 4, u, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127037750 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = s + 5*h, -3*s - 6*h + 2*h = 223. Let c = -63 - s. What is the least common multiple of 15 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374 + -360. Suppose 5*c = t - 887, l*t + 5*c - 3648 = 10*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -622, -577, -532?\n\"Answer: 45*k - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*f**2 - 35*f**2 + 34*f**2 - 29*f**4 wrt f?\nAnswer: -696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 10. Let u be y(7). Let a = -2 + u. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 f when three letters picked without replacement from {b: 6, j: 6, k: 1, f: 6}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.2 in 1\/8, -36, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 6.9\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2153 + 0.7153. Suppose 3*v = 3*u + 12, 4*u + 3*v + 3 = 1. Let k = u + 7. Which is the biggest value? (a) -5 (b) k (c) -1\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -11*s**4\/12 - s. Let x(k) = 38*k. Let z(h) = 3*h. Let u(f) = -6*x(f) + 78*z(f). Determine u(c(t)).\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16240 (base 7) to base 8.\nAnswer: -10751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 - 3*u - 5. Give b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*y - 217698 = 0, p + 89*y - 90*y - 36287 = 0. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l - k + 559, 5*k = 5*l - 535. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/76 + 7\/2. Solve 0 = 2*s + 5*z - 22, c*s + 5*z = 11 + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2058 - 2086 - (-8 + -2 + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let a(t) = t. Let r(b) = b**2 - 7*b + 2. Let l(x) = m*r(x) - 2*a(x). Suppose 4 = -2*s - 4*n, -5 = -2*s - 0*s - n. What is l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 234792.\nAnswer: -1\/78264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 less than -2929\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122.56 + -700.46. Let w = o - -613. Let n = w - 36.99. Round n to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*f**3 + 2*a**3*f**2 - 249*a**3 - 18*a**2*f**3 - 3*a**2 + a*f**2 + 7103*f**3 - 2*f**2 + 7 wrt f.\nAnswer: 24*a**3 - 108*a**2 + 42618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 - 90*t**3 + 672*t**2 + 27738*t + 26979 = 0. Calculate t.\nAnswer: -23, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 565, 2030, 4947, 9814, 17129?\n\"Answer: 83*k**3 - 21*k**2 - 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Suppose -28*o = -20*o - 96. Let m be 6\/o*5\/((-10)\/16). What is h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/(-2))\/((-16)\/(-96)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11428 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 4547840?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4260 by -6.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2530, 2642, 2758, 2878, 3002, 3130?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15151\/2 + -15584\/3. Let q = 2368 - i. What is the common denominator of q and 25*(-1 + (-2)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 2719 + 5559 - 2840. Let w(c) = -5*c**2 - 4*c + 2. Let j(h) = -6*h**2 - 4*h + 3. Let a(i) = 2*j(i) - 3*w(i). Determine g(a(n)).\nAnswer: 3*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 85 + 259 + 24 - 54 = -4*v + 32, -3*v = -3 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.7 (b) 625 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -1086*z + 1075*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224954723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*k**2 + 0*k**3 - 7*k**3 + 35*k**2 to i + b*k**3 + o*k + z*k**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24200.161+0.05884\nAnswer: 24200.21984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = k - 45, 2*r + 18 = -0*k - 5*k. Let s(j) = -j**3 - 9*j**2 - 6*j + 13. List the prime factors of s(r).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 2*c**2 + 146*c + 4. Let h(r) = -r**3 + r**2 + 2. Determine 2*h(t) - q(t).\nAnswer: 2*t**3 - 146*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047940879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 4 - 3*a - 6*a.\nAnswer: -16*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3432\/88*4\/(-3)*(-1)\/(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b*b**(-10))\/b))**2)**(17\/5))**23)**(1\/9) assuming b is positive.\nAnswer: b**(8602\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4789396 + -4789395.91999988. Let j = f + -0.08. Round j to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/20 + c**4\/12 + c**3\/6 - c**2\/2 + 21*c. Let a(g) = -12*g**3 + 18*g**2 + 18*g - 18. Give -a(i) + 18*z(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 0.401\nAnswer: -14.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 7 + 3. Suppose -r - 3*b + 65 = -n*b, -b + 254 = 4*r. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*d + 10 = h, -5*d = -3*h - 4. Let c(v) be the first derivative of 5 - h*v**4 + 7*v + v**4 - 2*v - 2. Differentiate c(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:34 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {n: 11, y: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 12*v**2 - 21*v + 8. Let s be y(-10). Suppose -16*n + 6 = -s*n. Which is greater: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhshqqqvvhhvszqhssv. What is prob of sequence qh?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636028 divided by -228.\nAnswer: -159007\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 11 = 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 122, -2\/13, -0.4, -33.\nAnswer: -33, -0.4, -2\/13, 0.5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0342 + 61.5658. Let l = -56 + p. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 93.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:06 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39a8c (base 15) in base 13?\nAnswer: -66066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60979?\nAnswer: 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8755 - -8627.94. Let x = 129 + h. Round x to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 10.7. Let l = -9.6 + 8.8. Let j = l + z. Which is the closest to j? (a) 2 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**22*t*t**3 assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/101 + -35\/1111. Let v be -4 - -3 - -1*1. Let s = r - v. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -303, -379?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 12*z - 10. Let y be j(13). Suppose w - 1 = y. Suppose 5*o - w = 56. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15697*f - 784867. Give j(50).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 - -12701?\nAnswer: 12674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2017223 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10512 divided by 9\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17911, 35897, 53883, 71869, 89855, 107841?\nAnswer: 125827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 0*p + 2*p)*(-1 - 3 + 5)*(12*p**2 + 45 - 45) to the form v + a*p**3 + c*p**2 + h*p and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*z - 484772*c**3 + 3*c + 187698*z with respect to z.\nAnswer: 3*c**3 + 187698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3863335 and 430.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.86 - -8. Let p = i + 0.06. Let x = p + -1.2. Which is bigger: x or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (0 + -4)*12*85\/408.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(160) - sqrt(10)) + sqrt(833)*-3 + -2.\nAnswer: -62*sqrt(17)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*c - 68*c - 1 + 5*c**4 - 1 + 4*c**2 - 1 as s*c + x*c**4 + n*c**2 + w*c**3 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5488 and 0.012.\nAnswer: -65.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(-3*i**2 - 3*i**2 + 4*i**2)*(-5 + 6 + 4)*(0 - 2 + 1) to the form b*i + g + u*i**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -7, -28, -61, -106, -163?\n\"Answer: -6*b**2 + 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19*w**3 - w**2 - 2*w - 1. Let u(i) = -i**2 - 5*i + 1. Let z be u(-5). Let g be 2 - (z\/1 + 2). What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 take away -1028?\nAnswer: 1025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186864 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3234*z + 1608*z + 3*z**2 + 1586*z - 6*z**2.\nAnswer: -3*z**2 - 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 29*l**2 + 55*l + 31. Is 4 a factor of x(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63210.46 rounded to the nearest one thousand?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.46513488 and 5.\nAnswer: 17.3256744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.15 + 2.15. Let h = 98.3 + i. Put -0.4, -1\/4, h in increasing order.\nAnswer: -0.4, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608010 and 7800?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from {o: 1, s: 1, e: 1, y: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(972) + 1)**2 - ((sqrt(192)*-1)**2 + -1).\nAnswer: 36*sqrt(3) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144045448 a multiple of 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*1324.\nAnswer: 503.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-99)\/(-54))\/11\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 + 7*w + 140. What is q(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*r - 30, -3*r - 3 = -4*j + 25. Let y be -2 + 3 - (2 + -4). Suppose -y*d = -d - j. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 - 227. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4275 (base 8) to base 6.\nAnswer: -14205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 171932.\nAnswer: 859660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21.3 and -403?\nAnswer: -8583.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48471, -48472, -48473?\nAnswer: -48474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2909*l - 8. Suppose -z + 2*u = 2, -z - 10 = 4*u - 2. Let w be 4 + 4 + z + 8. Let q be o(w). What is q rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*h + 7416*h + 8658*h.\nAnswer: 15908*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:18 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z**3 + 13*z**3 - 97*z**3 + z**3 + 0*z**3 - 3*z**3 + (4*z - z**2 - 4*z)*(3*z + 0*z - z) in the form i*z**2 + o + p*z + s*z**3 and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y. Let z(w) = -577954*w. Give v(z(s)).\nAnswer: -8091356*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820 a factor of 219665280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 89 + 82*d**2 - 67*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 3*a + 3. Let j(n) = 144*n**2 - 4*n + 112*n**2 - 259*n**2 + 3. What is -4*j(r) + 5*w(r)?\nAnswer: 2*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25685, 51371, 77057, 102743, 128429?\nAnswer: 154115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1485\/(-2))\/(-11)*(-4)\/(-6)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(175)\/sqrt(5))\/(1*sqrt(7)*-1).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 1, f: 1, y: 2, v: 2}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -430602 divided by -2\nAnswer: 215301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 239221 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-18)*-6*(-42)\/(-45)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 2*z**2 - 16*z**3 + 31*z**3 - 13*z**3 to the form o + v*z**3 + w*z + a*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -80800094?\nAnswer: -1\/80800094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.000199 kilometers?\nAnswer: 199000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (71 - (1 + -5)). Let t(r) be the first derivative of -86*r**3 + 5 + 12 + p*r**3. Let o(q) = q. Determine t(o(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6109.5345 to the nearest integer.\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5*g**4\/24 - 7*g**3\/6 + g**2 - 2. Let x(w) be the second derivative of j(w). Does 9 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/151465166 and 3\/3273314.\nAnswer: 1666116826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 2*c - 3. Let x be q(-3). Let z = x + 5. Does 4 divide z\/3 - (-4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6168769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 136 - 53425*w - 135 - 140.\nAnswer: -53425*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 54, 47, 40, 33, 26?\n\"Answer: -7*w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 41*a**3 + 17*a**2 + 17*a. Suppose 3*i + 3*l = 27, -5*i + 4 + 14 = -4*l. Let t(z) = -7*z**3 - 3*z**2 - 3*z. What is i*j(h) + 34*t(h)?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251 or -8?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**4 - 10*a**3 + 303*a**2 - 200781*a.\nAnswer: -48*a**2 - 60*a + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -4\/3 (b) -0.137 (c) 1\/7 (d) 0.1 (e) -201 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1536822862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = 5*w - 41, 12*j + 2*w - 230 = 0. Solve 0 = 25*l - 18 + j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683866 a multiple of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = 23*a - 72813. What are the prime factors of a?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.1, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Suppose 0 = s - 2*s - 3*m - a, s = 5*m + 7. Let c(f) = 19 + f**s - 19. Let u(j) = -j**2. Calculate c(u(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 + 8*k - 15. What is s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -18\/5, 0.08, 1\/10, 4\/3, -2\/11, -0.5, -8.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {g: 2, l: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923036 and 2844?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12791253 from 7712.\nAnswer: -12783541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 12732 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 c when four letters picked without replacement from {q: 1, c: 1, i: 5, x: 4, a: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-6) - -5*(-2)\/(-15). Suppose c - j = 2*u + 3*c, 5*u + 2*c = -4. Suppose -2*a + h = -46, h + 3*h = u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77076.\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y - 14. Let l be q(-13). Calculate the greatest common factor of 48 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 1 + (-129)\/10 and -89\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -0.033519037281?\nAnswer: 16.966480962719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 39915742\nAnswer: 79831484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*8\/(80\/15). Solve -4*r = -2*s + u - 11, -1 = -4*r - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*u + 23 = 0, -3*u - 2*u = -4*w + 22. Suppose -w*a - 2 = -83. Calculate the remainder when (-2)\/((-21274)\/7953 - (-8)\/3) is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(1808\/64 + -29 + 6 + 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42073 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 2. Determine q(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 8. Let x be y(6). Let h = 41 + x. Find the second derivative of -18*w**5 - 2*w + h*w**5 + 5*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 25*r**3 + 6*r**3 + 6*r**3 + 8*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.61 and -0.7111?\nAnswer: 13.3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(2 - -10)*24\/54. What is the second smallest value in k, 18, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o + 8. Let g be (-28)\/(-8)*(-3)\/(3\/(-2)). Let a be p(g). What is the derivative of -12*j**2 - a*j + 8*j - 4 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h. Suppose 0 = -v - 2*z - 8 - 34, h = v - 4*z + 12. Let o = v + 36. Solve -2 = -5*b + c + 17, -o*b + 2*c = -14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2021, 1, 0.2, -3\/4, 4\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v**2 + 3. Suppose 8*f = 12*f. Let i be q(f). What is the second derivative of 7*t + i*t - 6*t + 8*t - 9*t**3 wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 42. Let x be w(0). Calculate the highest common factor of x and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 44 = 1. Let c(h) = 0*h - 2*h**2 - 5 - 2*h**2 + h**3 + y*h + 9*h**2. Let t(m) = m**2 + 0*m**2 + 3 - 4*m**2 - 3*m. What is 3*c(b) + 5*t(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 7990*b**4 - 2752200*b**3 + 355699610*b**2 - 15858580195*b = 0. What is b?\nAnswer: 0, 139, 1181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 18090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*j + 19 + 11, 5*j + 6 = -3*f. What are the prime factors of f\/(-21) - 242\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 725, 720, 715?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 - 18093*z**2 + 937086*z wrt z.\nAnswer: -12*z - 36186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/218914 and 73\/552.\nAnswer: 2626968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 484926800 to the nearest 1000000.\nAnswer: 485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8114?\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(2\/3736)*193\/(-386) is divided by 71?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 2, o: 3, x: 4, i: 4, l: 2}. Give prob of sequence li.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = 1568 - 1370. Let n(y) be the second derivative of -25*y**3\/2 - 8*y**2 - y. Is n(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 0.26. Let f = 15.1 - q. Let y = f - 14.61. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 1123.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let c(w) = 3*w + 0*w**2 + 0*w**x + 2*w - 5*w**2 + w**3. Determine c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4823 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -5750 (c) -916.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 132 = 239*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(90)\/((1*sqrt(22))\/sqrt(11)) + 0 + (-2 + 2*sqrt(320) - sqrt(320)) + sqrt(320))**2.\nAnswer: -228*sqrt(5) + 1841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2175794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + -3 + 2 + 4*(sqrt(180) + -1))**2 + 4.\nAnswer: -11916 + 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12a - 300511?\nAnswer: -30063b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 84.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppqppqp.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 61.44+1377894986\nAnswer: 1377895047.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0 + 4*y - 3*y - 1. Let c(b) = 3*b**2 - 6*b + 3. Let w(m) = -14*m + 47. Let o be w(3). Calculate o*s(u) + c(u).\nAnswer: 3*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 5\/2*x**2 - 1\/3*x**3 - 9 + x. What is y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -4*a**2 - 4*a + 0 - 3\/2*a**4 - 5\/6*a**3. Let v be b(8). What is v rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/u*u*u\/(u*u\/(u*u**6)*u*u)*u*u)\/(u*u**(-2\/17)*u**(-2)*u))**(20\/7) assuming u is positive.\nAnswer: u**(540\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 != 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 7*y**6\/120 + y**5\/12 - 6*y**2. Find the third derivative of q(r) wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 + -88. Suppose -l - g = -5*l. Suppose q - 4 = -3*a, 2 = 3*a - 2*q - l. Solve 1 = a*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/587592 and -109\/5582124.\nAnswer: 11164248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k + 13*k + 35*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8229 - -1?\nAnswer: 822a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6901 = -5*b, -b + 1367 = -28*j + 25*j. Are b and 1377 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101001101001011 (base 2) in base 7?\nAnswer: 1005524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 3*r**2 - 5*r**2 + (r - 7*r + 5*r)*(3 - 6 + 1)*(86*r + 50*r - 169*r).\nAnswer: -74*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4958 + 5009. Solve 6*s - k = -33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5110 (base 8) in base 15?\nAnswer: -ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4344 + 4344 - 48*c + 48*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1543267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 370452.32 to the nearest 100.\nAnswer: 370500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 590 - 590.2. What is the nearest to d in 1.1, -2, -4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10251*c**3\/8 + 50117*c**2\/8 - 2849*c\/4 - 5 = 0. Calculate c.\nAnswer: -5, -4\/603, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 12. Let q be t(6). Let n(k) = k - 8. Let y be n(q). Let m be (4 + y)\/((-2)\/3). Which is the smallest value? (a) m (b) -0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 136 = -354*q + 384*q, 0 = -5*q - 4*o - 44. Suppose 10 = -5*k, 3*f + k = -1 + 14. Solve 4*y - 20 = f*s, -5*s = -7*y + q*y + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:10 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3\/7 (c) 2\/23 (d) -3\/5 (e) 2.2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114980, 230175, 345556, 461117, 576852, 692755, 808820, 925041?\nAnswer: 1041412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1026165456 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -43 - 5. Let r = 11 - -19. What is the greatest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -129, -192, -253?\n\"Answer: k**2 - 68*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 10. Let n be i(-3). What is the units digit of (-10 + n)*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5*f**4\/14 - 8*f**3\/7 - 4*f**2\/7 - 4. Factor v(q).\nAnswer: -2*q*(q + 2)*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.786042 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0, -0.2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + ((-2)\/20 - 328\/(-80)). Let n be 14\/(-18) + (-1)\/(-1). What is the nearest to -0.1 in -2, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25854923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, 72, 1, 3, 5, 28 in decreasing order.\nAnswer: 72, 46, 28, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40183.7899985 + -40183.7. Let y = k - 0.09. What is y rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -869*h + 865*h. Sort h, 4, -5, -1, -3 in increasing order.\nAnswer: -5, -3, -1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 35616*u**2.\nAnswer: 4*u**2*(u + 8904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -487634.9875 and 62.\nAnswer: -487572.9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -44?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23001*p**2 - 91729*p**2 + 22720*p**2 + 23009*p**2 + 23000*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6403 - -82630. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32974152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34668, -34666, -34664?\nAnswer: -34662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-16)\/(l\/(l\/(l\/(l\/(l*(l**1\/l)\/l*l*l)))))**(-1\/24))\/((l**(-4)*l*l\/l**3*l)\/((l**(4\/5)\/l*l)\/(l\/(l**(2\/5)*l)))) assuming l is positive.\nAnswer: l**(319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 3, q: 4}. Give prob of sequence vq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -26, -73, -144, -239?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -59.69?\nAnswer: -775.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let t be (-2 + 1)*0*z. Suppose t = -d + 2*q + 32 + 45, -4*d + 2*q + 314 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 6, 0.5, 7, -48\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 712400764?\nAnswer: 712400761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/15 - (-1 + 0). Sort 0, f, 1\/4.\nAnswer: 0, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-1)\/(sqrt(1100)*1)*-2.\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.07 - 4. Let z = 0.03 + i. Let w = 0.13 + -0.63. Which is the nearest to z? (a) -3 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmfr when four letters picked without replacement from rrrrmrrrrfrrr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 24*l + 1875. Is 125 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**2 + 4*c. Let b be (2 + 0)\/(((-140)\/154)\/5). Let y(v) = -21*v**2 + 11*v. Calculate b*n(d) + 4*y(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d. Let y = 46 - 44. Let v(l) = 7*l + 0*l**2 - 3*l + 2*l**2 - 3*l**y. Calculate v(n(c)).\nAnswer: -4*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1713*b**3 + 634*b**3 - 1240*b**3.\nAnswer: -2319*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = -61957 + 123854 - 61951 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54*230433.\nAnswer: -124433.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236309934*l*m**2 + 3*m**2 + 217715747*m wrt l.\nAnswer: 236309934*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 4. Let s be g(0). Suppose -s*j - 5 = j. Suppose -2*q + 5*q - 3 = 0. Is j less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032974000 to the nearest one million.\nAnswer: 1033000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)*a\/a**(-8)*a)\/(a**0)**(-50))**(-2\/11) assuming a is positive.\nAnswer: a**(-144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-8) - -10)*(4 + -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 11, 5, -11 in descending order.\nAnswer: 98, 11, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1488\/(-992))\/(6\/(-20) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4))\/sqrt(7) + sqrt(3) + sqrt(12)*-5 + sqrt(3).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/700 and -67\/140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6))**(2\/7) assuming l is positive.\nAnswer: l**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.18, 104, 0.3, -7?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 1. Let o(v) = -45*v - 183. Let c be o(-4). Let p(u) be the third derivative of -5*u**4\/24 + u**3\/6 + u**2. Give c*l(f) - 4*p(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n*p**2*z**2 + 160881*n*p**2*z + n*z**2 - 196002*n*z - 2*p wrt p.\nAnswer: -16*n*z**2 + 321762*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from jkkfjjsfqjkjjkfjffk?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489966275.\nAnswer: 3, 5, 7, 17, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8802 by -1467.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3e25c (base 15) to base 16\nAnswer: -30bee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - -6 - -2*5\/5. Let j be ((-66)\/(-15) - p)*10\/4. Solve a = 14 - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 plus 1465?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*h - 19, 10*r - 5*r - 15 = -94*h + 94*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 897148 = -w, -456*b + 2*w = -458*b + 358852. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80d43 (base 14) in base 8?\nAnswer: 1135257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12750?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 764 (b) -4\/3 (c) -3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19046*l**5 + 81378*l wrt l?\nAnswer: 380920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 141.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*k - 14, 146*k - 158*k + 3*k - 32 = 5*s + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19648)\/80 + 2\/(-5). Let s = t + 779\/3. Let k = -14 + s. Which is smaller: 59 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Suppose c*d = -0*d - 4. Let z be -1*(d - (-2)\/2). Solve 0 = -l, l + z = -2*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211064 decades in months?\nAnswer: 2.532768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 911931539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -788 + 792. Let i be (s*(-5)\/60)\/((-1)\/9). Solve -i*r + 8 + 9 = -5*x, 3*r - 13 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**2 - 2*r**3 - 2*r + 8*r**2 + (-1 + 1 - 2*r**2)*(-r + 2*r + 0*r) - r**2 + 4*r**2 + 3*r**3 + 8*r**3.\nAnswer: 7*r**3 + 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2 + 2)*(-6*r + 293 + 2*r - 294).\nAnswer: -12*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (-5*(sqrt(12) + (sqrt(12) - sqrt(192))))\/((sqrt(54) + sqrt(6))*-4 + sqrt(6))).\nAnswer: -6 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/126 and 25\/3101.\nAnswer: 55818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4828\/(-852)*5\/(-51)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -348*o**3 + 16*o**2 + 4*o + 159. Let r(c) = 347*c**3 - 20*c**2 - 5*c - 158. Let k(f) = -5*b(f) - 4*r(f). Find the first derivative of k(n) wrt n.\nAnswer: 1056*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -35) + (-3 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1233?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let l = 7.2 + -7. Let f = 109\/3 + -37. Which is the second biggest value? (a) l (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 3.5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. What is the closest to c in 5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from {f: 7, o: 9}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -4*(2*sqrt(130) + sqrt(130)))*2)\/(-3*sqrt(10)*-5*-5).\nAnswer: -26*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -1503, -1492, -1481, -1470, -1459?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 7:17 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368236613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 197086. Let h(y) = y. What is h(j(d))?\nAnswer: -2*d + 197086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 8*d + 2. Let v = 5 - -3. Calculate the remainder when i(v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131.877 + 132. Let i = w + -0.103. Which is the fourth smallest value? (a) i (b) -1\/3 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 57062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -102*r**2 - 85*r + 7. Let s(x) = -x**2 - 3. Let g(z) = c(z) + 2*s(z). Find the second derivative of g(k) wrt k.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2541, 9751, 21751, 38541, 60121, 86491?\nAnswer: 117651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12260192 rounded to 3 decimal places?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 353610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23718 and 4079496.\nAnswer: 4079496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 17083392?\nAnswer: 17083392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:13 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 24.2?\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36243 is divided by 9058?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -176.8. Let q = 24 - 46. Let f = p - q. Is f > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2436 times -0.15\nAnswer: -365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v. Let h(g) = 60*g**2 + 10*g. Calculate q(h(u)).\nAnswer: 1140*u**2 + 190*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 4*d**2 - 3*d - 4. Let y be -1*(-3)\/2*2. Let z be g(y). Let w = -2 - z. Solve -o + 2*o + 15 = -5*u, 2*u = -w*o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okag when four letters picked without replacement from {g: 6, o: 3, k: 2, a: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 10. Let u(i) = -18*i**2 - 6*i. What is z(u(d))?\nAnswer: -36*d**2 - 12*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.81 and -2.1.\nAnswer: -26.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -24, -55, -108, -189, -304?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2))\/sqrt(5)*-2*-6 + -1 + (sqrt(99)\/sqrt(144) - sqrt(121)\/(-1*sqrt(11))) + 4.\nAnswer: 3 + 53*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47945020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddjxqojodjoxo. What is prob of picking 1 o and 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*z = 9, 0 = z - 0*z + 2. Suppose 288 = 3*g - 180. Suppose g = -x + b*x. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -0.1 (c) -0.3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2, u: 1, s: 6, l: 1}. What is prob of sequence cc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 230, 204, 164, 104, 18, -100?\n\"Answer: -a**3 - a**2 - 16*a + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4910*y**2 - 4991*y wrt y?\nAnswer: 9820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 + -1)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + (-396)\/(-144). Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/128 - 21\/(-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 10 (c) -4\/5 (d) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 899.3904 - 893.4. Let y = m + -6. Round y to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:41 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1, -6\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609687 and 143.\nAnswer: 6706557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4 - 1. Let u be 1\/(c\/18*-3). Let t = -1 + u. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.396 + -0.06.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -16) + 14*(-3)\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*t = 258, 35 + 27 = f - t. Let m = -39 + f. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z + 16 - 1\/2*z**2. Let l(m) = -32*m**2. Determine l(r(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*y + 38 = 0, 41*y = -5*q + 36*y - 0 + 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10203, -10209, -10225, -10257, -10311, -10393, -10509?\nAnswer: -10665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 - 186*k**2 + 3600*k + 35000 = 0.\nAnswer: -7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - -5*sqrt(7)) + sqrt(7) + (sqrt(56) - sqrt(14))\/sqrt(2).\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 + 1 = 3*x, 0 = 2*m - 4*x - 12. Which is the closest to 0? (a) 2\/7 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32205\/678*(-2)\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431417848?\nAnswer: 2, 53927231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*y**2 - 12*y**2 - 35*y**2 + 14*y**2 + 70*y**2 + 42*y**2.\nAnswer: 137*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 + (-5410)\/(-525) + 259 + -271?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + l - 6 = 0, -58*q = -63*q - l + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -40 - (-74 - 12 - 24)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12835?\nAnswer: 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101111010 + 220?\nAnswer: 2101112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4082, -16386, -36914, -65666, -102642, -147842?\n\"Answer: -4112*q**2 + 32*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4145 + -400?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 592 - 449. Let j = m + 120. Let b be 6\/(-12) + j\/2. What is b rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 8\/5*i - 2\/15*i**3 + 0*i**2 + 3. Factor b(d).\nAnswer: -2*(d - 2)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0426 + -411.0426. Let l = 411.5 + f. What is the nearest to 0 in -20, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 - 2. Which is the closest to 1? (a) 2\/13 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**28)**(-25) assuming q is positive.\nAnswer: q**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 907, 1815, 2723, 3631, 4539?\n\"Answer: 908*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -29, -121, -303, -605, -1057, -1689?\n\"Answer: -5*z**3 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let i = j + -2. Suppose -5*g = -i*g - 27. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/6)\/(-12*(-25)\/(-1800))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17162 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*t + 258 = 774*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/56*-2)\/(((-20691)\/(-88))\/57)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/2*(-8)\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = -m + 18, -3*z - 15 = 0. Suppose 47 = s + 3*q - 12, 278 = 5*s - 2*q. Calculate the greatest common divisor of m and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-3*(-2 + 3). Let n(i) = -2*i - 5. Let o be n(-4). Suppose -o*s + 5*s = 0. Solve -l*p = -s*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 10*s - 77. Let w be a(15). Let u(j) = 25*j + 104. Let h be u(w). Suppose -3*m = -3*g - 6*m + 174, m - 3 = 0. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) 5 (c) 0.5 (d) -29\/3 (e) 1\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 - -386. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 48*s + 23*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25875.16 years?\nAnswer: 310501.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + -1)\/1)\/(-2). Let i(q) = 11*q**2 + h*q**3 - 3*q - 4 - 9*q**2 + 0*q + 0 + q**3. Suppose 2*s = -2*s - 12. What is i(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 183449998 = -2*l, z - 8*l - 61149995 = -3*l. Suppose -15*f + 20*f - z = 0. What is f rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3)\/1 - -1. Suppose 3*x - d = -b + 14, 5*x + d - 10 = 0. Solve -x*n + 5 = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 8*h - 43*h**2 + 2*h + 43*h**2 as k*h**3 + b*h + f + c*h**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 329, 529, 733, 935, 1129, 1309, 1469?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 433 + -428. Suppose -4*o - 4*i + 32 = 0, 0 = 5*i + 5 - 0. Suppose 0*a - o = -a. What is the lowest common multiple of a and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.049291779 and -87147.\nAnswer: -87147.049291779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/2 + 1305*k**3\/2 + 9*k**2\/2 - 3921*k\/2 + 1305 = 0. Calculate k.\nAnswer: -2, 1, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 6*g + 6. Let t be n(-5). Suppose 6*k - 3*k = -2*i + 11, -4*i = 5*k - 27. What is the remainder when i is divided by -4 + t + (-3 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 93, -206, 233, 4 in descending order.\nAnswer: 233, 93, 4, -2, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357 + 528. Suppose 0 = 6*s - 201 + l. Solve v = -2*a - 9, -s = 2*a + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1093, -3, 2, 1, 4 in increasing order.\nAnswer: -3, 1, 2, 4, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-14742)\/17101) + 7. Let b = u + -3322\/48087. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 744*l + 747. Let s be i(-1). Solve 4*n - 7 = s*f, -5*f + 41*n - 7 = 39*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(74\/(-333)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -2) + ((-68)\/60 - (-7 + 15))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -204575?\nAnswer: -2\/204575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -53\/5, 6\/7, 3, -3, 0.3, 1, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 667*j + 293. Let m(n) = 110*n + 49. Let k(p) = -6*c(p) + 34*m(p). What is the hundreds digit of k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -4)\/(2\/(-40)). Let k = 29523\/4 + -7400. Is k <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:56 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93105651.\nAnswer: 3, 17, 1825601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -6.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g + 4. Let y be x(3). What is the second derivative of 7 + y*k**2 + 2*k - 53*k**4 - 4*k**2 + 0 wrt k?\nAnswer: -636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = 4*j - 2*p + 821, 3*j + 2*p - 11 = 0. Sort j, -77, 19 in decreasing order.\nAnswer: 19, j, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) 0.5 (c) 0.12 (d) -1\/384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6630 = 2559*u - 2338*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1158 in 0.5, -5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/7 - 30*l**2\/7 = 0. Calculate l.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 58*p**2 - 10*p - 129. Let t be z(-29). What is the greatest common divisor of 15134 and t?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + (-986)\/(-102). What is the greatest common factor of 144 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-4\/3))\/d)\/d**(-10)*(d**(-2\/33)\/d)\/d**(-9))**(-46))**(-21) assuming d is positive.\nAnswer: d**(176456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m + 8 = 64*m. Sort 3, m, -3, 14.\nAnswer: m, -3, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523481252.\nAnswer: 2, 7, 31, 683, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -15. Let k(g) = 68*g**3 + 1. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3\/4 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)\/u**(1\/16)*(u\/(((u*u**(-5))\/u)\/u*u))\/u**8)**(1\/9) assuming u is positive.\nAnswer: u**(-241\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:01 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**2\/17 + 423054*x\/17 - 169220\/17 = 0. What is x?\nAnswer: 2\/5, 42305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5*u + 5. Let t be -6*(8 + 160\/(-24)). Let b = 3 - 1. Let z = t + b. What is o(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/2 of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 180 (b) 4 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 times 178360?\nAnswer: 66349920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxgggzzzzzgz. Give prob of sequence xzz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-20) - 7)*((-850)\/15)\/10 - 1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -11*m + 12. Suppose 0 = -m*c + 12, -u - c = 2*u - 130. What is the remainder when u is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 2*w - 6. Let n(r) = -2*r**2 - 4*r - 13. Let b(h) = 5*k(h) - 3*n(h). List the prime factors of b(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 36*d - 165. Is j(19) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-84))\/((-29)\/(-522))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -l, -6*l + 4*q = -l - 45. Suppose 11*w - 654 = l*w. Let h = w - 36. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 17) + -14 + (-2 - -50) - 20.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 116*z**2 - 1537*z - 123. What is w(-128)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5727995*k**4 - 2*k**3 + 11*k - 42359752 wrt k?\nAnswer: 22911980*k**3 - 6*k**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18186128 - 0.04\nAnswer: -18186128.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.6472 milliseconds in minutes?\nAnswer: 0.00679412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*o = -16, 4*t + 2*o = -3*o + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-1596)\/(-1))\/4. Suppose -5*j + i = 5*j. Let s = j + -32. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m - 5. Let u(g) = -g**2 - g + 1. Let s(j) = -2*u(j) - x(j). Is s(0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m + 2. Let x(i) = -90*i + 21. Let s(w) = -63*a(w) + 6*x(w). Let k(f) be the third derivative of -f**5\/12 + 13*f**2 - 5. Give s(k(r)).\nAnswer: -135*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n - 4*n)*(3*n - 3*n - n**3) + 1332*n**2 - 1332*n**2 + 18*n**4 - 5*n**4 + n**4 + 3*n**4.\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81 - 81 - 17*u**2 + (-4*u - 2*u + 3*u)*(-u + u - u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let t = -317\/51 - -19\/3. Which is the closest to -2\/7? (a) l (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from mmdmmmmmdmdmmmm?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.8, 2\/117, 5?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1624 - -1624. Solve k = -12*x + 13 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 108*v = 80*v - 1025 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -3. Let h = k + 12. Let b be h\/10 + 76\/20. Solve b*w - 18 - 10 = 5*f, -f - 3*w + 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(sqrt(891) - (sqrt(891) + (sqrt(891)*2 - sqrt(891))))*-2 - -4*3*(sqrt(891) + 1 + 4 - sqrt(891)))**2.\nAnswer: 2124*sqrt(11) + 7045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61115 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 47, 83, 153, 269?\n\"Answer: 2*n**3 - n**2 + 3*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 4. Let h be n(-4). Which is the nearest to -0.1? (a) h (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-4\/3))\/i)\/(i*i*i**(1\/17)))**(-2\/49)\/((i*(i\/((i*((i\/i**(-1))\/i*i)\/i)\/i))\/i*i*i)\/(i\/i**(-7\/3)))**(1\/36) assuming i is positive.\nAnswer: i**(1499\/22491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t + 3*t. Let m be -1 + 16\/(-4)*t. Find the second derivative of -m*c + 0*c**5 - 4*c + 8*c**5 - 3*c**5 wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -2*-2*sqrt(17) - (sqrt(68)*-1*-4 - sqrt(68))\/sqrt(4))**2.\nAnswer: -99 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/4 (b) -9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - t + 2*t = 8, -5*u + 2*t + 11 = 0. Solve u*n - 9 = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/3566 and -65\/112.\nAnswer: 199696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -35?\nAnswer: 68\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5692 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32800337 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142964 or 857783\/6?\nAnswer: 142964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/(-5304))\/((10\/17)\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 7. Let a(f) = f**2 - 16*f - 14. Let v be a(17). Let r(h) = -6*h**2 + 11*h**2 - v*h**2 + 4. Determine -4*b(d) + 7*r(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**6\/120 + 23*h**5\/40 - h**3\/3 + 8*h - 42. Let u(d) be the third derivative of o(d). Factor u(r).\nAnswer: -3*r*(r - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -1101\nAnswer: 91\/1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 + -131. Find the second derivative of -227*l + 0*l**3 + 2*l**4 + 0*l**3 + n*l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 383, 368, 341, 302?\n\"Answer: -6*b**2 + 3*b + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 200*d**2 = 0. Calculate d.\nAnswer: -200, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*2659\nAnswer: 3722.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6814852 and 220?\nAnswer: 34074260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 4*f**3 - 484*f - 7202 wrt f.\nAnswer: 8*f**3 + 12*f**2 - 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 4*a - 45 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w. Let r(j) = 207*j + 4. Determine -2*d(o) - r(o).\nAnswer: -197*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -15, 5\/2, -4\/3217?\nAnswer: -4\/3217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44661389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3270, 6455, 9640, 12825, 16010, 19195?\nAnswer: 22380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb816 (base 12) in base 16?\nAnswer: -795d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*s + 0*s - s + 7*s as m*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2 + 3*r**3 + 1 - 2*r**3. Let x(s) = s**3 + 3*s - 4. Let v(p) = -4*m(p) + x(p). What is j in v(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*27*11\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 622, 601, 564, 511, 442?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13964540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0)**(-20)*(m\/((m*m\/(m*m\/(m**(3\/2)\/m)))\/m))\/(m\/(m*m**(-1\/6))) assuming m is positive.\nAnswer: m**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 20 = -155 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5 minus 11.433885?\nAnswer: 175.066115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 25.72762\nAnswer: 874.73908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5805505 divided by 1161101?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5024643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74)\/(-14) + (92\/(-28) - -3). Let p = -27.061 - 0.339. Let t = p + 27. What is the second smallest value in 3, t, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.303, 1, 2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54244624 is divided by 54244604?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -5*a - 5*q, -1212*a + 3*q = -1207*a + 95 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8629.688338 rounded to the nearest 100?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347234292 by -34926.\nAnswer: 9942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15\/2968, -2\/7 in descending order.\nAnswer: 15\/2968, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 41\/4*i**4 + 0*i**3 - 33 + 2*i + 0*i**2. What is the first derivative of t(l) wrt l?\nAnswer: 123*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed80 (base 15) in base 16?\nAnswer: -c477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3232*i - 161253 - 43238 = -33195 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2)**(-38))**(-4\/33)*((z\/z**(-5\/3))\/((z\/z**(-1\/8)*z)\/z))**22 assuming z is positive.\nAnswer: z**(3869\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 586.0195 decades?\nAnswer: 5.860195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 47*c**6\/6 - c**4\/24 + 397*c**3\/3 - 1452*c**2. Find the first derivative of z(o) wrt o.\nAnswer: 2820*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 + (-3)\/2. Suppose 0 = -3*d - 3*p - 9, -2*p + 1 = -3. Which is the third biggest value? (a) w (b) -2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 13*i - 325. Let x = 6 + i. What is the third derivative of x*p**4 + 15*p**4 + 777*p**2 - 792*p**2 wrt p?\nAnswer: 1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25671 divided by -41\nAnswer: 25671\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 534205 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: How many minutes are there between 11:37 PM and 6:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**7\/o))**(1\/9) assuming o is positive.\nAnswer: o**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2*c - 2*c)*(2 + 0 - 10)*(-18*c + 30 - 30) as s + l*c + o*c**2 and give o.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -35, -49, -61, -71, -79?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, 0.5, 8\/3, -8, 0, 3, 6\/55?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27587601 and 4617.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (838*f + 5*f**2 - 836*f + 41 + 123)*(3*f + f + 0*f).\nAnswer: 20*f**3 + 8*f**2 + 656*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-209*o + 525*o - 245*o + 6)*(1 + 0 - 3)*(-3 + 0 + 2) in the form r + t*o and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70.4 - -71. Let s be 5\/(-2) + 22 + -20. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5490, 5863, 6488, 7371, 8518, 9935, 11628?\n\"Answer: u**3 + 120*u**2 + 6*u + 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1277, -2419, -3559, -4697, -5833, -6967?\nAnswer: -8099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*k*u**2 + 12*k + 7 wrt u.\nAnswer: 158*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -5, 2, 10.\nAnswer: -5, 0, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252864 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*24\/54*3\/2. Let n(u) be the first derivative of 1 + 0*u + 15\/2*u**c + 11\/3*u**3. What is the second derivative of n(g) wrt g?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(171) - -3*sqrt(171) - sqrt(171))*2)\/(2*sqrt(81) - sqrt(81)))**2 + (sqrt(114) + sqrt(114)*2*-1)\/((sqrt(144)\/sqrt(4))\/sqrt(6)).\nAnswer: -sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -606 - -1753. What is the remainder when r is divided by 227?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225403 is divided by 384.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -20. Let v = i - -15. Let g be (15 - v)*2\/(-3). Solve s + s = -g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 3144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**2 + y**2 + y**2 + y. Calculate the remainder when d(-1) is divided by (7\/(-1))\/(3\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*c - 270 = 2*o, 4*c - 849 = -3*o. Calculate the greatest common divisor of 31 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 2 + 2 + (-m**3 + m**3 - m**3)*(0*m - m - m))*(3*m - m - m).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -s + 3*p - 18, -3*s = 2*p + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2. Let b = -33 + 35. Let f(s) = b*s**2 + 4*s**2 - 3*s**2. Calculate f(i(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 34*n - 36. Let d(r) = 8*r - 8. Let i(f) = -9*d(f) + 2*y(f). Let x(b) = -24*b. Determine i(x(u)).\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 - (-1 + 2) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/54 - 25025\/2079\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 55 - 308. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 594549223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184508275?\nAnswer: 5, 7, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*r - 8 - 12 = 0, 0 = 5*y - 4*r - 71. What is the first derivative of -y*k**4 - 13 - 3*k**3 + 13*k**4 - 50 - 10*k**4 wrt k?\nAnswer: -48*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9391518 and 504?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2903 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 22 - 11 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/42 + 7*t**5\/10 + 14*t**4\/3 + 10*t. Find the third derivative of s(p) wrt p.\nAnswer: 60*p**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5765 = -8*k - h, -5*h + 25 = 0. Suppose -q - k = -11*q. Calculate the highest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:19 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 20*o - 2. Let k be h(2). Let u be ((-18)\/12)\/((-12)\/16). What is the derivative of -k - 15*r**2 - 26*r**2 + 8*r**u wrt r?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 22*g = 35*g - 338 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2880 + 2820 + (1 - (9 + 0))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-489555)\/(-483))\/43 + -27?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4130 divided by -10\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + 22*j**2 + 7*j - 15. Let t be h(-5). Solve -46*a + 42*a + 16 = t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813031 (base 9) to base 14\nAnswer: -c74d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/15 + (-12)\/10. Suppose 0 = 4*x - 38 - 18. What is the remainder when -2 - (1184\/(-22) + j\/11) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212.4 - -274. Let x = g - 59.6. Put -19, 3, x, -0.1 in increasing order.\nAnswer: -19, -0.1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.02705, 220\/41 in increasing order.\nAnswer: 0.02705, 220\/41, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 - 2*r**2)*(-2 - 1 + 2 + (3 - 4 + 2)*(5 - 4 + 1) - 35 - 66 + 189).\nAnswer: -89*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 12}. What is prob of picking 2 u and 2 t?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 plus 619.7?\nAnswer: 615.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**7\/210 + 3*u**4\/8 - 13*u**2. Find the second derivative of c(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 + 0*g**2)*((-1 + 0 + 3)*(3*g - g - 3*g) + 21*g - 16*g - 48*g + g + 4*g - g).\nAnswer: -82*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 608 or 609?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*h + 349*h - 38592 = 0 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 2:49 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 373 = k - 2*k, -b = 5*k + 26. Which is greater: -27 or b?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3250)\/104)\/5)\/(3*(-2)\/(-72))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -89452545 divided by -355?\nAnswer: 251979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 97 + 113. Suppose -106 - 188 = -b - 2*z, -4*b + y*z + 1128 = 0. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 12*j**5 - 48*j**4 - 57*j**3 - 15*j**2 = 0.\nAnswer: -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 + (-91)\/(-28). Find the first derivative of 143 - 22*p**4 + 19221*p**2 - 19221*p**2 + o*p wrt p.\nAnswer: -88*p**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31300 (base 8) to base 4.\nAnswer: -3023000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 602041.2 years?\nAnswer: 602.0412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12852.2ml to litres.\nAnswer: 12.8522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - 7*s**4\/24 - 3*s**3\/2 - 17*s**2. Let a be 5\/(10\/(-3))*-2. Suppose a*u + 0*u - 21 = 0. Calculate b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.15955 - 0.00545. What is b rounded to 1 decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*a - 1527*a**2 - 80*a - 45*a**2 - 68*a - 248*a**2.\nAnswer: -1820*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than or equal to 124490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-2))\/((-12)\/(-6 + 30)). Suppose 22*w - l*w = -2695. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20659 is divided by 62.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 761 - 1941. Let p = 2241 - s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - 3 - -33) + (-18 - 0). Let n = -8 + 11. Suppose -3*v - n = -2*v. Let j(d) = -3*d. Let q(f) = f**2 + 5*f. What is u*j(l) + v*q(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/42 - 682*n**3\/21 + 683*n**2\/7 - 3*n - 479. Determine r, given that g(r) = 0.\nAnswer: -683, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 440687631560853 - -0.1.\nAnswer: 440687631560853.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 295, 465, 635, 805, 975?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 6901*o - 565569. What is g(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.1728 and 179971.6?\nAnswer: 179968.4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6938147 - 3469069 + 0*g - g - 3469078.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87679 is divided by 404?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*p - 7 = 0, 5*v = 5*p + 2 + 3. Let n(t) = t + 1. Let i be n(v). Let u = 0 - i. Solve u*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2031?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/11 - (-2 + 0). What is the nearest to 3\/4 in -0.2, 2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -2*x. Suppose -m = m + 5*s - 401, 0 = m + x*s - 199. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103636 (base 8) to base 9\nAnswer: 52555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 0, 4, 10, 18?\n\"Answer: u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 + 2)*(6961 - 6961 + 277*v).\nAnswer: 3324*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 3*c**2 + 3. Let y be w(-3). Let j(x) be the first derivative of -1\/2*x**4 + 6 + 0*x**y + 0*x + 0*x**2. Determine i so that j(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/2 (b) 1 (c) -1\/10 (d) -2 (e) 0.1 (f) 43767 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 5 + 4 + 5*l)*(2 + 0 - 1)*(-306 + 30*l + 306)*(-2*l + l - 2*l).\nAnswer: -180*l**3 + 90*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-35)\/(-5))*1\/2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 42, 3 in ascending order.\nAnswer: -27, -4, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/65? (a) 15 (b) -583\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*j - 18 = -645*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Suppose -s = h*s + 10. Let w = 14 - s. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.24227 kilograms in nanograms?\nAnswer: 9242270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 444095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 4455425605?\nAnswer: -4455425604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54339 and 2349471?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 + 220.5. Let v = 1.4 - 0.8. Let r = v - k. What is the third biggest value in 0, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828388813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -72. Suppose j + 36 = 2*u, 0*u - j = -4*u + 76. Calculate the highest common factor of m and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 9*i**2 + 2*i - 3. Let b be y(-4). Solve 3*h + b*x = 2, 3*h + 3*x = -2*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152007.82919897 - 152028.0292. Let m = -20.2 - t. What is m rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -23. Let h = p - 3. Suppose 159 = h*w + 19. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398836?\nAnswer: 2, 99709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*-2*1\/(-3). Find the third derivative of -l*y**2 - y**2 + 5*y**2 + 2*y**6 - 2*y**2 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.3267047 less than -8?\nAnswer: -537.3267047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14537?\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - 0.01. Let u(j) = -j + 4. Let x be u(2). Let q be 5\/(-7)*x\/5. Is q at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85556 and -390?\nAnswer: -33366840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053 and 45?\nAnswer: 2.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249456173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/13 + (-4173)\/169\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:46 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -40317, -4 in decreasing order.\nAnswer: -1, -4, -40317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:36 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 6 - 6)*(-2*w - 6*w + 4*w) - 4*w + 6*w - 3*w)*(-w**4 + 2*w**4 - 3*w**4).\nAnswer: -94*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8935*y - 42430*y - 392*y.\nAnswer: -51757*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -326, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 11:08 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - -67906353?\nAnswer: 67906352.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -10*p + 6. What is the units digit of p*10\/9*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 198 = -12*q. Which is smaller: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(136) + sqrt(136) + sqrt(136))\/sqrt(8) + 5)**2 + 5.\nAnswer: 90*sqrt(17) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-35)*((-14)\/(-4) + -1). Which is the second biggest value? (a) 5\/8 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-3)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 128 = -562. Let v = 47 + o. Calculate the highest common factor of v and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -q + 9, 17*q - 18*q = -2*z + 1. Suppose 0*x**q - 1\/5*x**4 + 2\/5*x + 0 + 3\/5*x**2 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74765600 a multiple of 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.8, -10, 1\/2, -5, 5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) - (-88)\/16. Let a(r) = 7*r + 212 + r**3 - 208 + 5*r - 12*r - 5*r**2. Calculate a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2144*p - 2156*p - 2*p**2 to the form u*p**2 + y + b*p and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3 + (-5 + 1 - 27)*(-1 + 5 + 0))*(6*p - 13*p**3 - 6*p) in the form w + k*p + m*p**2 + l*p**3 and give l.\nAnswer: 1651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67042*z**3 + 134135*z**3 - 67091*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16228011373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -14, -18, -26, -38?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5759.\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w + 159. Let c be q(29). Let a(i) = 88*i - 78. Does 63 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 3. Let x be w(5). Suppose 4*z - z = 75. Suppose -8*y = -3*y - z. Solve 4*j + y*q - x = 21, -5*j - 10 = -3*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*w = -71, 5*l - 3*w - 183 = -w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -44*z**3 - 11*z**2 - 39*z - 35. Give s(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50822785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3608226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27d67 (base 16) in base 5?\nAnswer: -20210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(3\/4)\/l))\/(l**(-1\/2)*l)*l**(2\/7)*l**(3\/2))\/((l\/(l\/l**3*l))\/l*l*l\/((l\/((((l\/l**(-2\/3))\/l)\/l)\/l)*l)\/l*l))**(-41) assuming l is positive.\nAnswer: l**(-935\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:37 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 - 241a9?\nAnswer: -24170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/17)\/(360\/(-3060)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5443649 is divided by 1375.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422848 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*x + 6, 570*o = 567*o + 4*x + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 - 32*p. Let f(s) = -2*s**2 + 6*s. Let n(t) = 16*f(t) + 3*g(t). Let o(b) = 5*b**2. Determine o(n(d)).\nAnswer: 320*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 262*t + 266*t - 8, 2*x + 3*t = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126178 and 126710142.\nAnswer: 5486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/3) + -12. Let u(r) = r**3 + 16*r**2 + 16*r + 16. Let w be u(b). Let t be (-30)\/42 - (w + -2). What is the nearest to -4 in -3\/2, t, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 3. Let k = 7 + -9. Let q(u) = u + 1. Let g(z) = k*c(z) - 7*q(z). Let m(v) = -2*v + 7*v - 4 + 0. Determine 18*g(d) - 4*m(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 30*i**2 - 82*i - 1. What is x(-27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1214*n + 618*n - 109920 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45345019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 8, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 greater than or equal to -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3620505351 + -1?\nAnswer: 3620505350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 + 116*h**2 + 4849*h + 9461475 wrt h.\nAnswer: 6*h**2 + 232*h + 4849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-204)\/((-102)\/(-6))*(-3)\/858.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + y + 0)*(27 + 11*y - 4*y - 25) as a*y + w + i*y**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let k be j(0). Suppose -5*u + 1 = -9. Let p(y) = 3 - y**2 + 0*y - 2*y + 2*y**u + y. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*l + 11 + 725*l + 10*l**3 - 359*l - 3*l**3.\nAnswer: 7*l**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 126599970*v**2 - 801377620200045*v = 0 for v.\nAnswer: 0, 12659997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 36 = 3*k, -4*l - 21 = 4*k - 5. Let i = 11 + l. What is the remainder when 2*(6\/2 - -1) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 25 = 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -34*a**2 + 7450*a - 883. What is b(219)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 270, 1146, 2682, 4878, 7734, 11250?\n\"Answer: 330*w**2 - 114*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - h - 5. Let o be k(-6). Let y(f) = 25*f**3 - 2*f**2 + 1. What is the tens digit of y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2818, 2805, 2784, 2755, 2718?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12))\/(((-4)\/90)\/(5\/(-15)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40756?\nAnswer: 2, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25312\/(-5876))\/((-1)\/(-13)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 + -2667\/13. Suppose -3*x = -0*x - 4*x. Is x at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - 3d?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*s**4 + 13*s**3 + 1456*s wrt s.\nAnswer: -504*s**2 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -3*o**2\/2 - 10*o + 4. Let d be t(-4). Solve -4*k = 3*i, 5*k + d*i = 2*k - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 545071\/54 + -10093. What is the common denominator of p and -25\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1933*y**2 + y + 29. Let j(l) = 1657*l**2 + l + 25. Let q(u) = -7*j(u) + 6*m(u). Let n(x) = 3*x - 2*x + 1 + 0*x. Calculate -3*n(g) - 3*q(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 18*h + 73. Suppose -79 = -5*s - 272*v + 268*v, 27 = 3*s - v. Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 467, 469, 471, 473, 475?\n\"Answer: 2*p + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -9723.75?\nAnswer: -9723.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(1\/8)\/x)\/x))\/(x**(-20)*x))\/(x*x\/(x\/(x*x*x**(-3)))*x)**(21\/5) assuming x is positive.\nAnswer: x**(667\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjm when three letters picked without replacement from {j: 1, m: 9, a: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/8))\/(k\/k**(-1\/4))*k**(-1)*k*k*k\/(k**4\/k)*k assuming k is positive.\nAnswer: k**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from nhhmzhxnnmn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3658*g**3 + 4731 + 774*g**3 - 4731 + 2*g**2.\nAnswer: -2884*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5\/4 (c) -0.21 (d) -29 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 + 599 = 109*h - 537 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2562 + 1658 + 1325)*(-3*h - h + 3*h).\nAnswer: -421*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**2*q**5*q*(q*q*q*q*((q*q*q\/(q*q*q**(2\/9)*q*q))\/q)\/q)**(-45))\/((q**1)**(-34)\/(q**(1\/2)*q**(-4)\/q)) assuming q is positive.\nAnswer: q**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 - 2*m - 2 + 3*m + m**3 + 6*m**2. Let x be l(0). Is 21 a factor of 21\/(20\/8 + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114588 divided by -9.\nAnswer: 12732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20134247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -31. Let n = -58 + y. Solve -5*m - 8 - 12 = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 2, g: 5, q: 7, u: 2}. Give prob of picking 1 g and 1 v.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*f - 505*f = -538*f + 85890 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s - 29 + 74 - 42 as x + o*s and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 7 - -5 - ((-19 - 13) + 9 - 7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 + -3?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -1\/3, 224?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2200 and 9320.\nAnswer: 512600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 24. Let m(i) = 25. Let l(c) = 3*m(c) - 2*s(c). Suppose 3*a + 0*a = 5*p + 30, -4*a + p + 57 = 0. List the prime factors of l(a).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2056 and 2?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/3 - n**2\/2 - n. Let g(h) = 6*h**2 - 2*h - 3. What is the remainder when g(-2) is divided by v(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 15*n**2 - 4*n + 2. Give c(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3 and -56\/15054195.\nAnswer: 15054195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -159251 to the nearest 1000.\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i. Suppose -3*r - 1 = -2*r. Let k be z(r). Suppose -4*g = -12 - k. Solve -4*b + 2*o + 19 + g = 0, 0 = -4*o - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -916 + 918. Solve 2 = 2*u + y + y, b*y - 8 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 370229\/306 + -7259\/6. Calculate the common denominator of 48\/1819 and s.\nAnswer: 16371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656754 (base 8) to base 2\nAnswer: 110101110111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2634 divide 117252510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -13\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 3*z - 3. Let n = 306 + -303. What is h(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8.28, -1\/4 in increasing order.\nAnswer: -1, -1\/4, 8.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 + 2*a + 7 + a**3.\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 5. Suppose 6*u = -680 + 554. Let s be 8*(-2)\/14*u\/(-6). What is o(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:36 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 495*p**3 - 4805*p**2 - 10595*p + 3635. Let s(d) = 41*d**3 - 400*d**2 - 883*d + 303. Let m(v) = 35*s(v) - 3*y(v). Solve m(k) = 0 for k.\nAnswer: -2, 3\/10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65654980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/5 + 1544*w**4 + 30869*w**3\/5 + 38582*w**2\/5 + 15432*w\/5 = 0. Calculate w.\nAnswer: -7716, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*c**5 + 1336*c?\nAnswer: 5300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126112.08 rounded to the nearest one hundred?\nAnswer: 126100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/29, -5, -3.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -912 - -916. Let c(s) = s**3 - 3*s**2 - 3*s - 1. Let o be c(4). Solve m = -o*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -775 + 770. Which is the closest to -41? (a) -2\/11 (b) 2\/17 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 36*q**2 - 353*q + 12692. Calculate k(36).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 89 = 5. Let o(v) = 2*v**2 + v - 1. Let j be o(-2). Suppose j*i - 132 = -s. 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 the hundred thousands digit of 4171262276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14196 and 84.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/444 and 11\/15.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 5*l**2 - l**2 + (l - 2*l - l)*(-48 + l - 38 + 85)*(-1 - 2 + 2).\nAnswer: 9*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxh when three letters picked without replacement from fmmhmxx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - y + 8 = 0, 3*y = -2*s + 5*s - 6. Factor 2*r + 2*r**s + 3 - 7*r - 1 + 0*r**2.\nAnswer: (r - 2)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 15*b**2 + 35*b - 524. Calculate u(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298385 + -18800870\/63. Let z = 515\/14 + b. What is the common denominator of (2 + 53\/(-28))\/((-16)\/168) and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-5*d - 8*d - d)*(0*d + 2*d - 5*d).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/928 and (((-135)\/1920)\/9)\/(0 - 4\/(-72)).\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2. Let y(k) = 4*k**2 - 28. Calculate y(u(o)).\nAnswer: 400*o**4 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.3229 nanograms to grams.\nAnswer: 0.0000000153229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/(2\/(-16)). Find the common denominator of (-2)\/w + 11\/(-28) and (5\/4)\/(105\/658).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 3559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-88)\/28)\/(8\/(-32))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1505, 1499, 1493, 1487, 1481, 1475?\n\"Answer: -6*v + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 15 = 5*x, 73*x - 73*x + 3*i = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 411677 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by 410.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1966765753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 2. Let a be o(-9). Suppose -6*f = -a*f + 2*c - 10, -5*f + 15 = 3*c. Which is smaller: f or -19\/2?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 177 = 0. Let y = m - 41. Find the first derivative of -5 + y - 2*h + h wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose -o + 309 = -2*y, 4*o + q*y + 5*y = 1223. Suppose -4*v + 40 + o = 5*m, -v + 2*m + 77 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8*l - 4004 = 7*l, 0 = i - 4*l - 1001. What are the prime factors of i?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13071 is divided by 5962.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9168\/191)\/((-3)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34051*v**2 - 25024*v**2 + 32923*v**2)*(-1 - v + 1) in the form r*v**2 + h*v + d*v**3 + l and give d.\nAnswer: -41950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 + 20445*j**3 + 182520*j**2 - 4402620*j + 15422400 = 0. Calculate j.\nAnswer: -4080, -21, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 13\/6*u**3 + 0*u**2 - 5*u + 0. Let s(c) = c. Give g(s(d)).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 204 + 195 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48326251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33610, -134378, -302318, -537424, -839690, -1209110?\nAnswer: -1645678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2 + 2 + (-1 + 1 + 2)*(-4*k + k + k) - k - 3*k + 5*k + 2*k + 0 + 0 + 3*k + 4*k - 6*k + 0 + 0 + 2*k - 4 - 6*k + 16 - 13.\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*s - s = 48, -72 = -3*b - 4*s. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bonu when four letters picked without replacement from {s: 2, n: 1, u: 2, b: 2, c: 3, o: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 216\/42 + (-3 - -1)\/14. Let c(s) = 72*s**2 - 9*s + 12. Let u be c(t). What is the common denominator of 31\/18 and u\/(-180) + 9\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-33 - -24) + 18 + 2 + 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by -82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**3 + 45*s**3 + 37*s**3 - 5*s**3 - 2*s**2.\nAnswer: 40*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -972 divided by -5\nAnswer: 972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -280*c**2 - c - 1. Let z be j(-1). Let x be (-3982)\/z - (1 + 1). Let s = 1\/35 + x. What is the common denominator of -23\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7180 + -7161. Put -10, j, -1\/4 in descending order.\nAnswer: j, -1\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65, -79, -93?\n\"Answer: -14*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -102, 274, 3, -2 in descending order.\nAnswer: 274, 3, 1, -2, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 458220, 1832954, 4124178, 7331892, 11456096?\n\"Answer: 458245*k**2 - k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*d = -12, -2*h + 0*h = 3*d - 7. Solve -2*b + h - 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, 3, 39 in increasing order.\nAnswer: -5, -2, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 0*w - 2*w)*(1 - 1 - 2*w) + 1196 + 53*w**2 - 1196 to the form m + j*w**2 + b*w and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1912*t - 605. Is m(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**7\/70 - f**5\/30 + 9*f**2. Find the third derivative of a(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -141*a**3 + 5*a**2 + 5. Let r(d) = 70*d**3 - 2*d**2 - 2. What is 10*r(n) + 4*u(n)?\nAnswer: 136*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 32 = -9*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10163, -20166, -30181, -40214, -50271, -60358?\n\"Answer: -u**3 - 9996*u - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 904, -0.5, 4, -5, -2\/11 in descending order.\nAnswer: 904, 4, -2\/11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*f - 45*f - 11*f)*(5 + 3 - 1) in the form v*f + w and give v.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 348402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91813 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(5\/(-4)))\/(168\/68) and 65\/123.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-891)\/18*(-198)\/(-891)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 + 28*r**2 + 3*r + 2. Let q be h(7). Let k(w) = -q*w + 15 + w**2 + 6 + 10 - 4. What is the units digit of k(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (0 - (-1)\/1). Let m(v) = v + i*v + 30 - 30 + v**2. Give m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.21 * -0.032\nAnswer: 0.64672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 667727129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537648?\nAnswer: 2, 3, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10191 - -14426. Calculate the remainder when i is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 - l - 3. Let n be y(-7). Let t be (1\/2)\/(2\/n). Let i = -92 + t. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4*g - 4. Let h = 10 - 13. Let l(o) = -3*o**2 + 15*o - 5. Let v(x) = 2*x**2 - 8*x + 2. Let c(r) = h*l(r) - 5*v(r). Calculate 4*c(w) + 5*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-7) + 2482\/14.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-48)\/72)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:35 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-63)\/6) - 435\/(-21). What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -111\/4 in increasing order.\nAnswer: -111\/4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 960*y**2 + 16551*y + 73386 = 0.\nAnswer: -302, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4640018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i - 71. Give z(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 51*y**2 + 126*y.\nAnswer: 3*y*(y + 3)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g - 224*g + 16990 - 9142 = -15929 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*j**3*m**2 + 5718*j**3 - 5*j*m**2 + 2*m**2 with respect to m.\nAnswer: 102*j**3*m - 10*j*m + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 t, and 1 n when four letters picked without replacement from ttttvmunmvntvvvtvt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -30. Is q smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.002 - -0.002. Let q = p + -97. Let i = 96.963 + q. Round i to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 9*a**2 + 13*a - 9. Let x(y) = -y**3 + 4*y**2 + 6*y - 4. Calculate 6*m(v) - 13*x(v).\nAnswer: v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317434?\nAnswer: 2, 13, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -145060.\nAnswer: -145064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1394)\/(-224) - (-8)\/(-28) and -149\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3\/4, -2, -2\/7 in descending order.\nAnswer: 3\/4, 0.2, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*x**2 - 2693*x**3 + 2690*x**3 - 40 - 26*x**4 + 11*x**4 - 8 + 12*x = 0. Calculate x.\nAnswer: -2, -1, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -360.52994 - 0.40006. Let j = a - -359. Let s = -0.07 + j. What is the smallest value in s, 4, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 greater than or equal to 774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-140)\/560*13*2).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/7 - 76\/105. Suppose 0 = -2*j - 2*y + 16, -y = 5*j - 0*j - 24. Let a be (-50)\/(-90)*9 + (-19 - -3)\/4. What is the closest to a in j, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123212 (base 4) to base 16.\nAnswer: 6e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i = 60*i + 95 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(2*(-2*2*sqrt(72) - (sqrt(72) + sqrt(72)*3*6)))**2.\nAnswer: -914109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 69*c**2 + 2*c - 2. What is the tens digit of m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10261*c**3 + 10261*c**3 + 10261*c**3 + 10266*c**3 - 41051*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*w = -105, -22 = -2601*k + 2600*k - 5*w. Calculate the remainder when 97 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/21, 0.3, -219?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1\/(-3))*0\/1. Let r(k) be the second derivative of 2\/15*k**3 + 1\/30*k**4 - 3*k + a + 1\/5*k**2. Factor r(x).\nAnswer: 2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 + 3858*x**2 - 1121238*x + 88965910 = 0. What is x?\nAnswer: 167, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -512 - -780. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41730810150\/1603 + 26032946. Let g = q + 2\/1603. What is h in -2\/7*h**3 + g*h**2 - 6\/7*h + 0 - 2\/7*h**4 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -43\/9, -17.6, 9\/7, 1\/8, 0.4?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 29 = 5*u - 137, 3*i = 5*u - 129. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1781, -1763, -1745, -1727, -1709, -1691?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5395 + 10789 - 5394 - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + 3\/(-4). Let v(j) = -4*j + 26. Let s be v(7). Which is the nearest to n? (a) s (b) -0.3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90437 or -0.1?\nAnswer: -90437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 4 + 2*o + 7*o + 7*o. What are the prime factors of t(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 306\/12*8\/12. What is the highest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4.1. Let t = 61 - 106. Let x = -44.7 - t. What is the second smallest value in -1, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -101.32.\nAnswer: -95.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 19 + 937*w**2 - 1.\nAnswer: 937*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 - 14*v**2 + 61*v - 61. Give n(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1966280 by 245785.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20720 = -38*g + 127708. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 146 + 106. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 g when four letters picked without replacement from {g: 3, v: 1, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -70. Suppose -5*x + 4*x = j - o, 0 = 5*j + x - 138. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.96? (a) 1\/4 (b) 0 (c) 3\/2 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 20\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:08 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/2))**40)**(-36) assuming c is positive.\nAnswer: c**(-2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6513 and -35212?\nAnswer: 35212.6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 e when three letters picked without replacement from rkreek.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7021*r**2 - 7*r - 2. Let m be b(-3). Suppose 4*s - i = m - 5536, 0 = -5*s - i + 72099. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 - 5*i - 3. Let w be y(0). Let z = 0.1 + -0.1. What is the smallest value in z, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*y - 3*g - 117, -2*y + 3*g = -57. Let c(r) = -r**3 + 5*r**2 + 4*r - 4. Let n be c(6). Let i = y + n. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761666?\nAnswer: 2, 3, 89, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 104231400 (base 5) to base 12\nAnswer: 1a3083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -101*j**2 + 3\/4*j**4 + 0 + 0*j**3 + 0*j. Let h(k) = 6*k**2. Calculate h(y(q)).\nAnswer: 1944*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s**2 - 875 - 38*s**2 + 19*s**2 - 2*s + 0*s in the form w*s + l + f*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y*y\/y**(2\/15))\/(y**(-2))**(-46) assuming y is positive.\nAnswer: y**(-1472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*n**2 + 5645675*n - 368196.\nAnswer: -(n - 122732)*(46*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 3*g - 13. Suppose 6*p + 135 = 153. Let m be z(p). Solve 4 = m*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3835.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-155265)\/231 + 1\/(21\/(-18)). Is o less than or equal to -673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*y - 23. Let w = -1 + 3. Solve -y = -2*x + w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-5*sqrt(99) + sqrt(99)) - sqrt(99)) + sqrt(99)*-4*1)\/((sqrt(9) - 2*sqrt(9) - sqrt(9))*6 + sqrt(9) + sqrt(72)\/sqrt(32)).\nAnswer: 2*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r**3 - 3*r**2 + 37*r**3 - r**4 - 2 - 72*r**3 to c*r**4 + m*r**2 + g*r**3 + d*r + p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:28 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnrnrgqnrcrrryrnnrg. What is prob of sequence ngqr?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15*r - 60 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160512160387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(-2 + 6*6*(sqrt(363) + 1)))**2*-6 + 3.\nAnswer: -2829621 - 161568*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56\/284091 - -2791171339\/115340946. Let v = f - 20\/609. Calculate the common denominator of -5\/12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24*o - 4 = -25*o, -16 = -3*n - 4*o. Let z(i) = -i - 20. Give z(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138378*q + 4 + 138354*q - 9 + 23*q**4 + 5 + 6*q**2 as j*q + g*q**4 + l*q**3 + h + n*q**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.08, -2, -2\/3 in ascending order.\nAnswer: -2, -2\/3, 0.08, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3\/3 + g**2\/2 - g + 3. Let a(x) be the first derivative of h(x). Let s be a(-1). Solve -y = -1 + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (8 - -5 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 11*y**2 - 20*y - 88. Let q be f(-12). Let a be (6 + 0)\/((96\/2754)\/q). Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 18 = -4*q, 3*d + 12*q = 15*q - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2795 + 0.2795. Let f = 554\/7511 - 4\/203. Put t, 3, -1\/3, f in increasing order.\nAnswer: t, -1\/3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {m: 1, i: 3, p: 3, s: 4}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -972.728721 to the nearest integer.\nAnswer: -973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0.13, -32\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5254 is divided by 1303.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 1. Let h(o) = -2*o**2 + o + 4. What is -h(g) + 5*i(g)?\nAnswer: -3*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 411a0 (base 13) to base 5\nAnswer: 12213430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**9\/90720 - l**7\/15120 - 11*l**4\/12 - 4*l. Let d(c) be the third derivative of r(c). Suppose d(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/7 (c) 0.2 (d) 7196 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293547, -2587100, -3880657, -5174218?\nAnswer: -6467783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320988 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943, 1934, 1899, 1820, 1679?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14550 - 57220 = -10*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 j when three letters picked without replacement from {j: 7, y: 12}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 13. Calculate the smallest common multiple of 6 and m(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -3 + 3 + 9 + 5 + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111 - 1?\nAnswer: 11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 27, -1\/4, -5678, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31*(5 - 4) + -2. Suppose 0 = 3*w - 70 - n. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*n = 19, -2*x - 2*n = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 1\/2, -246?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 + 789*y**3 + 11*y**2 - 386078 wrt y.\nAnswer: 16*y**3 + 2367*y**2 + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -2.99. Let q = g + -6. Suppose 0 = -6*d - 2*d + 16. Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -13*u + 18316. What are the prime factors of u?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose -f + 1 + 2 = 0. Let v = o - f. Solve 0 = 4*n + x + 7, 4*n - 4*x + v = 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1037*i**2 + 2*i - 91. What is j(0)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 0. Let l = k + -2. What are the prime factors of l + 0 + 6\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4767, 4764, 4761, 4758, 4755?\nAnswer: 4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/16*(-8)\/12 + (3 - 8 - 66).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94474315 divided by 29?\nAnswer: -3257735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -212, 8 in decreasing order.\nAnswer: 8, 4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*p - 3*m, 3*m = -3*p + 4*m + 70. Let l be p\/16 - (1 - 0). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48235, -96526, -144891, -193330, -241843?\nAnswer: -290430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 4853335.\nAnswer: 2\/4853335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 1, 4, -4.\nAnswer: -7, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j. Let n(v) = 4*v - 3. Determine n(q(r)).\nAnswer: -28*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -7*k + 61764. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43245876*v**4 - 262988896 wrt v.\nAnswer: -172983504*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a**2 + 12 - 27 + 14)*(-5 + 1 + 2)*(4 - 3 + 1).\nAnswer: 36*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*i + 12 = 588*i, 0 = v - 5*i + 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/180 + 3*v**5\/40 - 27*v**4\/8 + 5*v**2 - 3. Let f(g) be the second derivative of d(g). Give f(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523455, -523454, -523451, -523446, -523439, -523430, -523419?\nAnswer: -523406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16469898 and -3666.\nAnswer: -16473564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 10*n**2 - 7*n - 15. Let z be w(9). Suppose -z*f + 26 = -2*f. Let x = -23 + f. Solve -x*a = -4*i - 28, 5*i + 3*a = i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173036 times -0.3\nAnswer: 51910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4227*h - 185985. Let k be u(44). Factor -310\/11*a + 150\/11 + 106\/11*a**2 - 10\/11*a**k.\nAnswer: -2*(a - 5)**2*(5*a - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82503 or -287?\nAnswer: -82503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-8))\/(-21) - 9\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9664413 and 1464.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 0.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/(-40) - -10) + -16 + (9 - 8).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70517 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -38 + 74. Let a be (-155)\/(-95)*-3 - z\/38. Let y(g) = 4*g**2 + 10*g + 3. Let v(r) = 3*r**2 + 9*r + 4. Let k(s) = -3*v(s) + 2*y(s). Give k(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2045851?\nAnswer: 8183404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130 + -23130321312?\nAnswer: -23130320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15389226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 11 + 4 + 2 + 2 - 5 + (1 - 1 + 1)*(2 + 2 - 5))*(-1647*m + 4*m**2 + 1647*m) to the form j*m**2 + y*m + d and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 49 (b) 22\/5 (c) 4 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 12 = 0. Let v(y) = -5*y - 2 - 2 + g*y + y**2. Let q be v(3). Solve -3 = -q*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3608.735699.\nAnswer: 3601.735699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l + 18. Let u be n(3). Suppose -u*w - 3*y - y + 39863 = 0, 3*w + 2*y - 39859 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 22*c**2 + c**3 - 15 - 30*c**2 + 4*c - 7*c + 8*c. What is j(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5 + 5*k + 2*k - 3. Let c(a) = 6*a - 7. Let y be (-8)\/(-3)*36\/(-16). Determine y*c(h) + 5*b(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let q(v) be the first derivative of 0*v + 115 + 17\/3*v**3 + 1\/2*v**2. Calculate q(g(j)).\nAnswer: 17*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (216 + -319 - (6 + 0)) + -5 + 16 + -14\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**3 + g**2. Let j be d(-1). Suppose 0 = 4*h - 22 + 14. What is the highest common divisor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:04 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 2231740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**10\/140 + v**6\/8 + 47*v**3\/6 - 24*v. Let q(c) be the second derivative of r(c). Find the third derivative of q(o) wrt o.\nAnswer: 4320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9925050049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:31 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*f - 45*f**2 + 51*f**2 - 675*f.\nAnswer: 6*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 t when three letters picked without replacement from tklhleekctcttt.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(2*t - 1 + 1) - 2*t + 383 - 383 to the form b*t + y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f = -18 - 20. Sort 120, f, 4 in ascending order.\nAnswer: f, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750421398 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/8)\/((-19)\/(-76)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(92\/(-1012))\/(12\/(-33))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -329 - -349. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*p**2 + 39*p**2 - 118*p**2)*(1 - 2*p - 1).\nAnswer: 282*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2909840*-5\nAnswer: -14549200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*w - 427*w - 15740 = 173*w - 10364 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1858050*j**3 - 225*j**2 - 6704*j.\nAnswer: -11148300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*(-6)\/(-252))\/(3\/18*3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/24 + 4*b**3\/3 + 237*b**2\/2 - 4*b - 30. Let k(m) be the first derivative of q(m). Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:01 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*f - 123, -3*w + 3*f - 72 = -0*f. Let a = w + 34. Let m(r) = -r**2 - 7*r + 6. Let z(j) = -j**2 - 6*j + 5. Calculate a*z(g) - 6*m(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160897548 = -25*h + 160896923 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**5*a))**6\/(a**19*a\/((a\/a**(1\/25))\/a)))**(-14\/9) assuming a is positive.\nAnswer: a**(1946\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.021 + 71.979. Let q = c + -71.99796. What is q rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 527, 1081, 1857?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227119 is divided by 402?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 = 3*r. Suppose -r + 1 = -2*x. Suppose x*d = 1 + 7, 4*n + 4 = -d. Let q(j) = 7*j - 5. Let o(k) = 3*k - 2. Calculate n*q(g) + 5*o(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2325 by 465.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35792 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 395, 397, 399, 401?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64496 and 96744?\nAnswer: 193488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.275 plus 0.007?\nAnswer: -2.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (2 - 4) + 7 - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2. Let p(o) = -8*o. Give p(m(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (7 - (2 + -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/24*4*2. Solve b - i*b = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5116 and 0.768.\nAnswer: 5116.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 4*y, -2*y + x = -3*x + 2. Suppose -4*w - 25 = w. What is the closest to y in 0, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(7\/3)\/(u**(-3\/14)\/u*u*u*u*u*u)*(u*u\/(u**11*u))**(-37) assuming u is positive.\nAnswer: u**(15479\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 1. Suppose t = 2*d + 6*t - 122, 3*d - 2*t - 221 = 0. Let n = 72 - d. Calculate r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 887. Suppose -n = -2*y + 5, -5*y + 2*n + 11 = n. Let u(s) = 2*s**2 - 5*s + 2. Let h be u(y). Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002275515 rounded to six decimal places?\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -211, -414, -759, -1294, -2067?\nAnswer: -3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Suppose w = 5*p - 17, -20 = 58*w - 62*w - 2*p. Let a(h) = -67*h**2 + w*h**2 - 14*h**2 - 17*h**2. Give n(a(u)).\nAnswer: -95*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15))**(-41) assuming m is positive.\nAnswer: m**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2 = 4*k - 3*l - 0*l, 4*k - 24*l - 34 = -25*l for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a827 (base 12) to base 14.\nAnswer: 28d55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6786 and 98919?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 84, 77, 68, 57, 44, 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 42. Put r, 3, -1, 2 in descending order.\nAnswer: 3, 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.309*7664.\nAnswer: -2368.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 100273804?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, l: 1}. Give prob of sequence lt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-234) - 1\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 179.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97253064 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 2*w + 3, 3468*v - 3466*v - 4*w = 34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*g = 4*k + 28, -76238*g = -76236*g - 4 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - 2*d**2)*(d + d - 3*d) - 5*d**3 + 4*d**3 + 2*d**3 - 374*d**3 - 615*d**3 + 1171*d**3.\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + (((-288)\/(-112))\/((-24)\/84))\/((-2)\/(-2)). Factor -68\/9 + 38\/9*c - 2\/9*c**d.\nAnswer: -2*(c - 17)*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/76146 and -71\/20286?\nAnswer: 5254074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-7\/4)\/(g**(-2\/11)*g*g\/((g*g**(-2))\/g)) assuming g is positive.\nAnswer: g**(-245\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7353 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 78012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50620224 by -12655056.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1, -1, -1\/3, 0.1, 4\/28047?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37231*o - 4*a = -37232*o + 112, -2*o + 3*a = -89 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v**2 - 241*v - 226. Calculate y(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 738.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 9*z**2 + 8*z + 12. Let q be k(-8). Let n be (1 + -3)\/(q\/(-30)). Solve 6 = -n*s - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/12 - -1*10. Solve s + 3 = -10*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -214*o - 5346. Let x be m(-25). Suppose -2*r**x - 3\/2*r**3 + 0*r + 0 + 1\/2*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/4)\/9*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077 + 1077 - 10*o**2 + 0*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**3 + w**2 - 4*w + 4. Let g be t(-8). Suppose -k + 1084 = -3*k - 3*x, 0 = 5*k - 5*x + g. Let z = k + 6. What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -25, 40, 504, 5 in increasing order.\nAnswer: -25, -1\/2, 5, 40, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:10 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*b = -5*b - 227, -2*o - 4*b = 222. Let x = -99 - o. Solve -x*q - 5 = -13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -16. Suppose -2*v - v = -t, -3*t - 2*v = -c. Solve t*i = -i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2433618.746 + -6.\nAnswer: -2433624.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + -0.1. What is the third biggest value in 2\/11, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.06 + 10. Let v = -1.435 - -1.5. Let d = v + p. What is d rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0. Let u = 0.4 + -3.4. Let t = -2.7 - u. What is the third biggest value in t, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.44 - -2.44. Suppose -3*r + 0*r = 0. What is the third smallest value in -2\/19, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127708 <= -127707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5425089.\nAnswer: 3, 19, 95177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(-15)\/((-45)\/(-104)). Let a = 1 + p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 69047969*y\/2 - 11507995.\nAnswer: (y - 23015990)*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 5*w + 9. Let y(k) = -k + 1. Suppose 0 = 8*i + 2541 - 2501. Determine i*y(a) + x(a).\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187108523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.04042?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39871906, -79743814, -119615722?\n\"Answer: -39871908*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:17 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*t**3 + 147*t**2 + t + t**4 - 147*t**2 in the form k*t + o*t**3 + z + f*t**4 + s*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, 4, 31, -1, -5.\nAnswer: -15, -5, -1, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*j - 1. Let f(x) = 10*x**2 + x + 3. Is 15 a factor of f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-25)\/15)\/((-1)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10621*x - 473. Let z(k) = -45*k - 2. Suppose 508 = -4*d + 516. Determine d*r(c) - 473*z(c).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.861 + 3.861. Which is the second smallest value? (a) 0.3 (b) 4 (c) 0.4 (d) t (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5890366877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xotxyyg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:17 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -m, -2*l - 3*m + 0 = 2. Let v be (-2425)\/3*(25 + l). Round v to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - 214?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(-3 + ((-1 + sqrt(275) - sqrt(275))*5 - (sqrt(275) + -1 + sqrt(275) + -2)**2) + -5).\nAnswer: -360*sqrt(11) + 6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -53*b + 15. Let p be d(-2). What is the greatest common divisor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -8 - -18 - 32) + 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7*w**2\/2 - 19*w + 82. Let q be t(-3). Factor 1\/3 + 1\/6*g**4 + 5\/6*g**3 + 7\/6*g + 3\/2*g**q.\nAnswer: (g + 1)**3*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 + 5 = 0. Suppose n*x = 3*x. Let d be (2\/10)\/(4\/16). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1340*w**2 + 8*w + 1 - 14*w - 1349*w**2)*(-1 + 2*w + 1) to the form r*w**2 + m*w + f + q*w**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 9. Let j be q\/4*2*0. Suppose -o + 3*g - 7 = j, 6 = 4*o - g - 21. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 40*u - 189. Let z be d(7). Solve -70*i + z*i + 105 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/3 - 10\/(-15). Suppose -3*n + 2*m + 16 = 0, 4*n + 4*m - 3 = 3*m. Suppose -n*v + u = v, 2*z - 98 = -5*v. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 2 - 17481*j**3 - 17480*j**3 - 3*j + 34959*j**3 to the form z*j**3 + d*j**2 + a*j + y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 7157080*b**3 - 3201487132900*b**2.\nAnswer: -4*b**2*(b + 894635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (3 - 18) - (1 - 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Sort -2, 2\/7, -2\/11, p.\nAnswer: p, -2, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 100*i**2 + 585*i + 990.\nAnswer: 5*(i + 3)*(i + 6)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(1 + -6*((-1 + sqrt(108))*-3 - 5*sqrt(108)*1)))**2.\nAnswer: -19584*sqrt(3) + 498242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (87\/(-116))\/(1\/(-4)). Solve q*k = 2*h + 6, -k - 4*h - 6 = -2*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 8 + 4*o**2 + 13 - o**3 + 6 - 7*o**2. Factor q(s).\nAnswer: -3*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12686605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/360*(19 + (-11)\/((-77)\/(-49)) - 6)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**4*c))*c)**(3\/2)*(c*c\/(c**8\/c))\/c*(c**(4\/5)\/c)\/c)**(-3\/14))**30 assuming c is positive.\nAnswer: c**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**5\/20 + s**4\/12 + s**3 - 2*s**2. Let c(o) = -o**2. Determine -4*c(y) + j(y).\nAnswer: y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/t*t**(-2\/9)\/t)**(-16)\/(((t*t**(2\/15))\/t**(1\/4))\/(t**3\/((t\/t**(-6))\/t))) assuming t is positive.\nAnswer: t**(6277\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -392*w + 15. Let t(m) = -392*m + 21. What is -3*j(c) + 2*t(c)?\nAnswer: 392*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, -20, -3\/2 in descending order.\nAnswer: 4, 2, -3\/2, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**13)\/(u*u\/u**(-8)) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.3 - -34.7. Let g = v - 25. Let s = -1922.9 + 1922.9. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4 - 20*o**2 + 14*o**2 + o + 0. Let h(f) = -11*f**2 + f - 7. Let j = 2683 - 2676. Give j*x(y) - 4*h(y).\nAnswer: 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 5 - (49 + -18 - 6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-9)\/21)\/(-3))\/(66\/7906580). Let o = c - 17118. What is the common denominator of o and (-129)\/135 - (-2)\/5?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 z when three letters picked without replacement from {l: 1, k: 1, a: 1, z: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/20 + m**4\/3 + 7*m**3\/6 - 3*m**2\/2 + m. Suppose 6*k - 30 = -0*k. Let q be u(k). Which is greater: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kix when three letters picked without replacement from {k: 4, t: 3, i: 1, x: 5}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 665005 by -6215.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 (base 9) in base 3?\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335.2 + 335.2. Which is the closest to -1\/3? (a) 1 (b) -1\/4 (c) j (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 4. Let q be -1*(-13 - (2 + -1)). Let g = 14 - q. Determine o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 2*r**2 - r**3 + r**2 - 6*r**2. Let g(q) = -2*q + 5*q + 0*q. Let c be g(-1). Determine d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**4\/24 + 5709*z**2. Let f(b) = 546*b**2. Determine k(f(j)).\nAnswer: -546*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -1, 1\/4 in descending order.\nAnswer: 1\/4, -1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*a + 1)*(592 - 32 - 81) to the form m + h*a and give m.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oobo when four letters picked without replacement from tobofbbfbofff?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 25688?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3565*c**2 + 3561*c**2 + 5.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1399034.2 * -0.6\nAnswer: 839420.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32220001310 (base 4) in base 12?\nAnswer: -134a898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843170623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 120*l**2 + 5738*l + 90480.\nAnswer: -2*(l - 40)*(l + 13)*(l + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266778118 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-23 - -7 - -26) + (0 - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 6, u: 3}. Give prob of picking 2 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -258347\nAnswer: 30\/258347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5 + 7959*b**4 + 24081*b**3 - 470427*b**2 + 836790*b - 398400 = 0?\nAnswer: -10, 1, 5, 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.9 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129078470849552671\/2481063380695158 + -828934\/506615933. Let z = s - 2\/116603. Let y = z + -524\/7. Find the common denominator of y and 89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534498 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(98) + -3 + sqrt(98))*2 - (sqrt(98) - (sqrt(98) - 2*-2*sqrt(98)) - sqrt(98)*1*-5)))**2.\nAnswer: -1512*sqrt(2) + 8082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 5 - 3*m**2 + 11*m - m**3 + 7*m**2. Let z be g(-4). Find the third derivative of -23*t**3 - 6*t**4 + z*t**2 + 23*t**3 wrt t.\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.9 + 19.9. Which is the smallest value? (a) j (b) -2\/23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*-5\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.954 - 0.046. Let h = d - -32.4. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 11:09 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*g**3 - 38*g**3 + 163*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/4 - 475*t**2\/4 + 29797*t\/2 - 389940 = 0.\nAnswer: -582, 40, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -31. Suppose -1 - 9 = -5*m. Solve c**2 + 16*c + 32 + p*c**2 - 8*c**m = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-150))\/(((-1)\/3)\/1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*r = 334*r - 2*j - 11, 4*r + 2*j + 18 = 0. Which is the third biggest value? (a) -2\/7 (b) 3\/10 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93791990 by 46895995.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -66. Let u(w) = -4*w - 6. What is u(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 v when four letters picked without replacement from {v: 3, g: 3, e: 1, q: 1, y: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**8\/120 - h**6\/24 - 2*h**3\/3 + 12. Let i(y) be the third derivative of u(y). Find the third derivative of i(z) wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 6) to base 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3694164.\nAnswer: 2, 3, 83, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 46296.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 2. Let d(i) = -2*i - 2. Give -6*d(s) + 5*u(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 13*f - 7*f - 50 = 0, -81 = -f - 76 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (4 + -5 - 1). Sort t, 7, 4 in decreasing order.\nAnswer: 7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and 480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/720 - 7*w**4 + 149*w. Let k(a) be the third derivative of h(a). Calculate k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*u - 160 = -165, 2*s - 21 = -3*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 0 + 0)*(-19*y**4 + 41*y**3 + 18*y**4 - 14*y**3) + y**4 + 0*y**2 + 0*y**2 + (-y**3 + 0*y**2 + 0*y**2)*(-2*y + 3*y - 2*y))*(-3 + 4 + 1).\nAnswer: 16*y**4 - 324*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 2*g + 2*g - 3*g + 9*g + 0*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-110)\/25 - -5)\/(10\/550). Solve -u = -4*a - 69 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.565 + 0.355. Let t = m + 0.01. What is t rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35855, 71844, 107823, 143786, 179727, 215640, 251519, 287358?\nAnswer: 323151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 4260 = 4365 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/16 + 2\/(-4). Suppose 2*o = 1 + 3. Let k be (-3 - 6\/(-2))\/o. Solve c + c + q = k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 5. Let j(f) = -f**3 - 10*f**2 - 10*f - 6. Let w be j(-9). Let v(c) = -w + 6 - 2. Determine -p(o) + 6*v(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsi. Give prob of sequence is.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + -2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 248c + -2024?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1484, 2441, 4242, 7151, 11432, 17349, 25166?\nAnswer: 35147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j**2)\/(j**(-1\/2)\/j**(4\/7))*((j\/j**1)**(1\/4))**(-5) assuming j is positive.\nAnswer: j**(65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjuj when four letters picked without replacement from {u: 4, j: 14}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 - 297*r + 9 + 303*r + 9 - 64*r**2. Let p(c) = 115*c**2 - 13*c - 39. Let h(z) = -13*j(z) - 6*p(z). Let t(m) = 2*m**2. Determine t(h(o)).\nAnswer: 5202*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from wccasbr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485353 divided by 1.\nAnswer: -485353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine fifths of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -4. Suppose 2*b = r + 4. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 7*v**3\/3 - 2*v + 6. What is the first derivative of b(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.22 and -239.\nAnswer: -239.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(18\/(-10))\/(-3). Let i(h) = -h**2 + 5*h - 1. Let y be i(4). Find the second derivative of -5*w + 0*w + 2*w**a - 2*w**3 - 3*w**y wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.2194.\nAnswer: 1.5358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -33, -65, -109, -165, -233, -313?\n\"Answer: -6*s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/160 and -8 - ((-7403)\/1232 - 3).\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 1356 - 5*c - 355 + 21*c - 3323.\nAnswer: 43*c - 5034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*t)*(10274 - 10274 + 392*t**2 + (-t + 2 - 2)*(-t - 3*t + 2*t)).\nAnswer: 788*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -925638 divided by -15\nAnswer: 308546\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 4*c + 13. Determine p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:44 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:43 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -143329598.\nAnswer: -1\/71664799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6270\/(-1980) - (-318)\/(-36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - s + 2)*(0*s + s - 3*s) + 2*s**2 + 3*s**2 - 3*s**2 + 35*s**2 + 8487 - 8487.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {y: 1, b: 3, m: 5, q: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12385606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylfwxxf. Give prob of picking 1 w and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/9 or -658861?\nAnswer: -658861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.126*-39250.\nAnswer: -515195.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(480)*-2 - (sqrt(30)*1 + sqrt(30))*-3)\/((sqrt(1210) - (2*sqrt(1210) + sqrt(1210))*6) + sqrt(1210)).\nAnswer: sqrt(3)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 7. Let o be k(6). Let x = -1281 - -1284. Which is the second biggest value? (a) o (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.2 (c) -87 (d) 4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251.8 + -252. Sort h, -19, 1 in decreasing order.\nAnswer: 1, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -2080 - 3069. Let y = n + -268. Solve 0 = -a - 0*b - 3*b + 10, y*b = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13506221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462424321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1975974 and 17\/86856.\nAnswer: 7903896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 + 368*u - 8464 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 11070*y + 22120 = 0. Calculate y.\nAnswer: 2, 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*b - 2*b + 4*i, -5*i = 0. What is the lowest common multiple of b and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7061 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24519 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Let w(y) = 19*y**2 - 13*y. Let l(k) = -3*k**2 + 2*k. Let c(p) = -39*l(p) - 6*w(p). Determine m(c(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -946 or -939?\nAnswer: -939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 5*w - 4*w)*(2 - w**2 - 2 + (-1 + w + 1)*(2*w - 2*w + w) + 45*w**2 - 32*w**2 - 118*w**2).\nAnswer: -630*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 1\/9*b**3 + 0*b**2 - 7\/36*b**6 + 9 - 1\/8*b**4 - 2\/5*b**5 + 0*b. Suppose q(n) = 0. What is n?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 1\/24*y**4 + 0 + 1\/2*y**3 + 0*y - 2*y**2. Does 7 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13. Let w = -2.501 + 0.101. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 20 = -w, -72*g + 65*g + 1 = w + 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 - -612. Let z = -158 + n. Suppose 0 = -5*q + 3*p + 164, -3*q + 0*q + z = -p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, 0, 1953, 0.1, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*j**2*v**3 + 379*j**2*v**2 + 61*j**2 - j - 780*v**4 wrt v.\nAnswer: -132*j**2 - 18720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -768*b + 13. Let s be x(-1). Let z = 781 - s. Sort 8, z, 3 in descending order.\nAnswer: 8, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Let s be g(3). Which is the nearest to s? (a) 0.7 (b) 3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 8. Let q be a(-6). Let c be (-4 + -23)*(10\/6 - 2). Suppose -g = 5*b - c - 14, 0 = b - 5*g - 15. Sort q, b, 4 in increasing order.\nAnswer: q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**1)\/x*x*x**(-4)\/x)\/(x\/(x\/((x\/(x*x**1)*x)\/x)))**(-7))**11)**(-2\/19) assuming x is positive.\nAnswer: x**(220\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + -8)\/((-3)\/(-39)). Let n = u - 24. Solve 2*v = -2*m, -5*m + n = -m + 3*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -17. Suppose -3*t + 103 = u, -5*t - 323 = -0*u - c*u. Let v = u - 105. Let f(n) = -3*n**2 + 3*n + 1. Let r(h) = -h. Determine v*r(b) + f(b).\nAnswer: -3*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Let h be d(-6). Suppose 5*o + 3 - 13 = h. What is the third derivative of 7*z**3 - z**o + 4*z**2 + 0*z**2 wrt z?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4*j**6\/15 + 9*j**2 - 25*j + 12. Let m(q) be the first derivative of d(q). What is the derivative of m(x) wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-2)\/18*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhhhhehhhhhahh?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300069 is divided by 57642?\nAnswer: 11859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 4574105.059?\nAnswer: -4574079.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 = -4*t, -4*t + 2*r - 4 = -t. Let s(u) = 4*u**2 + 4*u**2 + 0*u**t. Let v(g) = 2*g**2. Give s(v(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686*c - 94283 + 23729 = -1521*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 477028*k.\nAnswer: -477028*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 156786420*g + 1229099074820820 = 0. Calculate g.\nAnswer: 15678642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49 + 2)*(-8)\/(-8). Is 1\/4 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 11*r - 60. Let m be p(-9). Let o = m + 4801\/39. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.5.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 33. Suppose -3*t + f + 90 = 0. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31347*p - 31872*p + 4200 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -532959.735 + 0.2705\nAnswer: -532959.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4353*i**3 - 15*i**2 + 70 wrt i.\nAnswer: 26118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1110010001100000 (base 2) to base 13\nAnswer: 207c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 57*s + 115. Give u(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10061088 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 (-1*(-3)\/(-4))\/(2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/45 - (-38)\/10. Suppose 0 = -y*x - x + 85. Suppose 0 = -x*f + 14*f + 30. Solve -a + 3*q - f = 0, 35 = 5*a - a + 3*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 + 8 + 1 - 6)) + 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747489 is divided by 53379.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w + 8. Let f be g(-8). Sort 11, -1, f in descending order.\nAnswer: 11, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = g + 2, 2*g = 6. Let t(f) = -f**2 + 9*f + 16. Let h be t(13). Let r = h + 143\/4. Which is the closest to 0? (a) r (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.58 - 38.47. Let o = k + 0.89. Let h = 11 - 7. Put h, o, 2 in descending order.\nAnswer: h, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - ((5 - 2 - -25) + -14 - 29)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*f - 15 + 3, 5*f + 20 = 5*m. Sort 3, 8, f in descending order.\nAnswer: 8, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100d + 5?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 197168678309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + 20?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527.4, -0.9, -0.3, -1\/2, -1\/5 in decreasing order.\nAnswer: -1\/5, -0.3, -1\/2, -0.9, -527.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 63*t**2 - 2*t. Let p(z) = z**3 - 62*z**2 - 3*z. Calculate -2*p(o) + 3*u(o).\nAnswer: o**3 - 65*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-2 + (2 - 1). Suppose 4*p = d + 23, 150*p + 11 = -2*d + 151*p. Sort z, d, 2, 20 in decreasing order.\nAnswer: 20, 2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239.933 * 1\nAnswer: -239.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34880813689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8668644 rounded to 3 dps?\nAnswer: -9.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5 - (0 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 180, 182, 188, 198, 212, 230?\n\"Answer: 2*f**2 - 4*f + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 44*o**2 - o - 43. Does 78 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107.999963 - 108. What is m rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)\/(h**(-1\/5)\/h) assuming h is positive.\nAnswer: h**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + (3 - 0) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 86. Let b(k) = -73*k**2 - 4*k + 6. Let u be b(h). Let p = 2550 + u. Is p 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 121668714*w**2 + 124229688*w?\nAnswer: 243337428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*y + 0)*(-4*y - y + 3*y) - 4*y**2 + 3*y**2 + 2*y**2)*(2*y - 3*y - y + (0 - 5 + 3)*(2*y + 6*y + y)).\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262370 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = 1. Suppose y = -4*c + 67, -d*c - 3*y + 8 = -33. Let z = c - 20. Sort 10, 0, z in decreasing order.\nAnswer: 10, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20401439, 20401438, 20401437, 20401436?\nAnswer: 20401435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w + 19*w - 3*w**2)*(-31 + 23 - 92).\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17782 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 24*i - 45*i - 39*i.\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*j - 0. Let l(x) = 5*x - 2. Let t(p) = -14*p + 5. Suppose 2*c = 6*c - 16. Let k(h) = c*t(h) + 11*l(h). Calculate k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266863 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -2\/9, -4, 1\/2, -4\/17, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 5*l + 3*u + 65, -3*l - u - 14 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217219, 217214, 217221, 217246, 217295?\nAnswer: 217374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -320, -304, -276, -236, -184?\n\"Answer: 6*m**2 - 2*m - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476 - 471. Solve -r*n + 4 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 4. Let a be o(3). Let q(l) = -18*l + 2. Let n be q(a). Suppose -3*d = -2*x + x + n, -4*d - 4*x - 72 = 0. What is d rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7 + r - 139*r**2 + r**3 - 4 - 6*r + 4*r + 141*r**2. Suppose -j - 10 = -5*b, -2*j = 2*b - b + 9. Suppose 13 = -4*y + b. Give v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4 - 2*h**5 + 7*h + 2 - 2*h**5 + 2*h**3 + 8*h**2 + 3*h**5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 267, 1062, 2419, 4368, 6939, 10162?\n\"Answer: 5*c**3 + 251*c**2 + 7*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -7 (b) 1 (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -467, -935, -1403, -1871, -2339, -2807?\n\"Answer: -468*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 + w**3\/2 + 7*w**2\/2 + 7*w. Let o be d(-5). What is the highest common divisor of 68 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157ab (base 14) to base 7\nAnswer: 312304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 + -10) - (-6 - (5 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 3 + (-2)\/2. Suppose 0 = x - 0*x - j. Calculate the remainder when (-3)\/((-3)\/x) - -39 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/21623 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 270\/(-108) + (-2 + -6363)\/(5 - 7). Calculate the highest common divisor of 60 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 79 - 19 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7881 and 36.76.\nAnswer: 28.970556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose -5*t + 17 = -l, t - 3*l + 2*l = 5. Let q = j - t. Solve 0 = q*s + 2*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.54, 251089?\nAnswer: 251089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 3*z + 5*d, -9*d + 6*d = -44*z + 43*z + 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(1 + sqrt(1053) - sqrt(1053)) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62562 is divided by 3788?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**2 + 3*x**6 + 0*x**2 + x**6 + x**6 wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5*(-96)\/(-300).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 n when four letters picked without replacement from {m: 6, c: 3, v: 2, n: 4}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 953187644 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*86\/(-129)*(83 + 9).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 340\/(-6) - (-3)\/(-9). Let j be (-120)\/t - (2 - 0). What is the second smallest value in 2, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17157466.4 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b + 3*b. Let t be -4 - (b + (2 - 2)). Let h be (-8000)\/((2\/(-3100))\/(t + 1)). What is h rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/16*(-8)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 9:47 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-4))\/(2\/(-40)). Suppose f = 5*i + 5*x, x = -i - x + 14. Find the third derivative of 2 - 10*s**i + 6*s**4 - 2 + 4*s**2 wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 16. Suppose 33 = 3*a - 15. Let g(b) = b - 3. Calculate a*g(p) - 3*c(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 11*i + 13. Let u = 1066 - 1069. Let j(n) = -2*n**2 - 5*n + 7. Give u*r(z) + 7*j(z).\nAnswer: -2*z**2 - 2*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -532*w**5\/5 + 462*w + 380. Differentiate a(g) with respect to g.\nAnswer: -2128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9224*a + 9239*a = 144480. Is a a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -37, -114, -223?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 110484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*o + 11, 0 = -2*o - 6 + 4. Let r(s) = s - 1. Let h(w) = 2*w**2 - 2*w - 2. Give x*r(v) + h(v).\nAnswer: 2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Suppose -f - 64 = 2*c + 3*c, f + 38 = -3*c. Calculate the smallest common multiple of s and (-1 + c)\/(-2*1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5\/(-8) - (-1053)\/1404\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1020.8*-0.022\nAnswer: 22.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 62\/(-6)*-3. Do c and -35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28360, 112987, 254032, 451495?\nAnswer: 705376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 846 + -455. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663836534.\nAnswer: 2, 23, 14431229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -6 - (1 - 3). What is the third derivative of -97*t**q - 113*t**3 - 16*t**3 - 10*t**3 + 39*t**3 wrt t?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8704 from 114.\nAnswer: -8590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1549277\/40 + -38730. Find the common denominator of w and ((-7)\/112)\/(3\/118).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.3 + 51.7. What is the closest to 0.1 in l, -1, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-658)\/(-5))\/(3\/((-75)\/(-10)))?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 6*u - 3*u)*(-9*u**3 - 15*u**3 - 25*u**3) - 4*u**4 + 4*u**4 - u**4 to the form k*u + r*u**3 + c*u**4 + l*u**2 + j and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2694744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -55*z - 690 - 1646 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383816753?\nAnswer: 3, 11, 83, 168409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t - 1964948 = -273*t. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 690 and 60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333363994 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4023663?\nAnswer: 3, 7, 29, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 24. Calculate a(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 491 - 47062*j + 47062*j)*(10*j**2 + j**2 - 3*j**2).\nAnswer: 16*j**5 + 3928*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) - ((sqrt(2) + sqrt(18) - sqrt(2))**2 + -4)) + (-2 + (sqrt(6)*-2 + sqrt(6))\/sqrt(3))**2.\nAnswer: -12 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 53*d + 338. Let y be h(-5). Solve -9*s - y = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492485 divided by -17155?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 725*n**3 + 350658*n**2 + 56689227*n + 112678587\/2.\nAnswer: (n + 1)*(n + 483)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12995301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -443\/9 + 49. Let o = 210 - 209.9. What is the second biggest value in o, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 0.04 (c) 0.4 (d) 4898 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 256 + -166. Calculate the remainder when ((-54)\/s)\/((-2)\/790) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-35) - (-1645)\/25. Let v(m) = m**3 - 5*m**2 + 2*m - 6. Let r be v(5). Suppose -r*w + n = -f, -4*w + 2*f + 18 = -46. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/12 + 95*a**4\/24 - 50*a**3\/3 + 108*a**2. Suppose v(o) = 0. What is o?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.2. Let c = i - 1.1. Sort -6\/7, c, -0.5 in descending order.\nAnswer: c, -0.5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661517 is divided by 217304.\nAnswer: 9605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 124 + -74 - (2 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**3\/6 + 13*s**2\/2 - 4*s. Let y be f(11). Suppose -6*w + 2*w - 14 = -y*b, -13 = -2*b + 3*w. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1496 or -1498?\nAnswer: -1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**10*w**(6\/11)*w**(-6)*w\/(w**(-22)*w)*w assuming w is positive.\nAnswer: w**(303\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 9*p**2 - p + 3. Let m be c(-9). Suppose 4*j - 2*z + 24 = 3*z, 0 = 3*z - m. Is 2\/11 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*g - 28. Suppose 3*p + 6 = -g. Which is the third smallest value? (a) -2\/15 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*p + 12 - 11.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 399\/4030 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -3943?\nAnswer: -3943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 193453900037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -513 (base 12) to base 5\nAnswer: -10420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - j = 2*j - 127, -4*r + 3*j = -80. Suppose r = -0*m + m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 328 - 67 = -5*z, -3*z + 240 = 3*w. Calculate the remainder when z is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2 - (-4)\/1). Let u be h\/1 + 2 + 2. Determine x, given that -14*x**5 + 2*x - 13*x**4 + 8*x**3 + 10*x**2 + 10*x**3 - 6*x + u*x**4 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55570, 59803, 66860, 76741?\n\"Answer: 1412*k**2 - 3*k + 54161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 22*q + 15*q + 6*q. Solve q = -4*t + 2*v - 30, 6*t - 10*t - 5 = 3*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*x + 455 + 112 = -303 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-12)*3 + 7 + 0. Suppose -q*l + 6 = -3*l. Is l equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 6*s)*(-2*s + 3*s - 2*s)*(-4 + 0 + 1).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 11207 = 11917 - 25292. Solve 28 = 1439*j - p*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 2*c**3 + 2*c)*(218*c + 1273*c + 253*c)*(-5 - 2 + 2) to d*c + j*c**2 + u*c**3 + m + b*c**4 and give b.\nAnswer: -17440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 960134*t**5 + 72*t**4 + 61423744*t**2.\nAnswer: 57608040*t**2 + 1728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/2 - 13*a**3\/2 + 149*a**2\/2 - 387*a\/2 + 126 = 0. Calculate a.\nAnswer: -21, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -323*-73*(-1)\/(-1387)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 78 - 40 - 37. Let x(y) = -2*y - 2. Let v(c) = -8*n(c) - 3*x(c). Let a(t) = 2*t - 1. Give 8*a(d) - 3*v(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582475759 or -1?\nAnswer: -582475759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2512*z = 4*c - 2516*z + 8, 5*c - 2*z + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1593351306 rounded to five decimal places?\nAnswer: -0.15934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3861761 to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**9\/t*t))\/t)\/t*t)\/t**(-5\/4))**35 assuming t is positive.\nAnswer: t**(-1225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 + 18*p**2 - 43*p - 60 = 0.\nAnswer: -20, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - (-2)\/(-1) - 3. Suppose -2*v = 5*p + d, -7*v - p = -2*v - 7. Is v\/(-5) - (-334)\/10 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 54. Let t be (-2 - (-60)\/21)\/(b\/21). Is 13 a factor of 440\/t*(-6)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.64 - 17.64. Is -3\/2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (426 - 433) + 37 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 225*z + 20 = -226*z, -4*c - 3*z = -54. Let c*m**5 + 39\/2*m**4 + 12*m**3 + 0 - 21\/2*m**2 - 9*m = 0. What is m?\nAnswer: -2, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 55, 81, 107?\n\"Answer: 26*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 109*l - 111*l + 31, 13*l - 3*x = -3*l + 167 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29186314 or 29186336?\nAnswer: 29186336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17226479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45018852*z**2 + 33920354*z + 2 wrt z?\nAnswer: 90037704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 47478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51813, -103684, -155563, -207450, -259345, -311248, -363159?\n\"Answer: -4*i**2 - 51859*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-25 - -31).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2762374535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d. Let w be j(9). Suppose -v = -w*v + 12. Is v at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 10*p + 1 = 15*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n + 2750 = -71*n. What is the greatest common factor of n and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 108496891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/51)\/q*q))**(3\/20)*(q*(((q\/(q\/(q*q**(-2\/23))))\/q)\/q)\/q)**(-3\/17) assuming q is positive.\nAnswer: q**(2719\/7820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002249838 rounded to seven decimal places?\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4362570 divided by -6\nAnswer: -727095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f + 29*f + 36*f - 26119*f**2 + 30*f.\nAnswer: -26119*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*b + 46390, 4*b = -171*y + 167*y + 185536. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3 (c) -2\/3765705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n + x - 3, -2*n - 4*x + 6 = 0. Let l = -10 + 17. What is the least common multiple of n and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1331 - -1331.3. Let u be 3*((-26)\/(-21) - 28\/49). Which is the second biggest value? (a) -2 (b) -0.3 (c) u (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(1295\/14))\/(13\/(-10))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 153*q**2. Let o(v) = 37*v + 152. What is o(k(g))?\nAnswer: 5661*g**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 3*l**2 - l - 1. Let n be p(2). Sort 5, n, 3.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26, 0.09, 15, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 7*s**4\/24 - s**3\/6 - s**2. Let a(g) = g**3 - 7*g**2 + 5. Let x be a(7). Is 11 a factor of y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/20 - p**4\/12 - p**3\/6 - 2*p**2. Let u(m) = 3*m + 16. Let n be u(-7). Let c(k) = -5*k - 26. Let o be c(n). Give h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22000\/1361, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8700, 42427, 98638, 177333, 278512, 402175, 548322?\nAnswer: 716953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7310, 0, 12, 0.2, 1\/2, 25, -2.\nAnswer: -7310, -2, 0, 0.2, 1\/2, 12, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 28*o**2 + 3*o + 7. Let f = -129 + 127. Let z be r(f). Let j = -105 + z. Which is smaller: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 8*f - f)*(-f + 0*f + 3*f)*(-f + 2*f + 2*f) to the form k*f**3 + t*f + m*f**2 + s and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -29. List the prime factors of 2*-1 + -139*z\/7.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 38 - 104. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.18 - -0.02. Let n = 1.8 - -14.2. Let g = n - k. What is g rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 3 + 3*s + s. Let d be f(2). Let t be 27\/12 + (-2)\/8. Solve d*x = t*x + 4*z - 4, 5*x - 2*z = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u + 2875 = 4*u. Suppose -63 = 4*q - q. Let m = q - u. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 + 12*x**4 + 12*x**3 - 6*x**2 - 15*x - 6.\nAnswer: 3*(x - 1)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 117526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 7*k + 4*k**2 - 2*k**2. Let w be j(-4). Let u(r) = -r + 12. Let x be u(9). Solve -v - w = -x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10300 - 10297. Suppose 2*h + 2*y = 7*y + 37, 61 = 5*h - 2*y. Sort 1, h, q.\nAnswer: 1, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18415 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 + 1. Let i be o(-1). Let j = 4 + i. Suppose 4*t + s = 201, -t + s = -s - 39. What is the remainder when t is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2519331723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 5*q - 110, -3*q - 162 = -5*w. Suppose 3*h - k + 5*k = -16, w = -5*h - 5*k. What is the remainder when 37\/7 - h\/(-28) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(1 + (sqrt(425)*2)**2 + 1).\nAnswer: -15318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -7. Let g(v) = 2*v**2 + 4*v - 4. Let j be g(f). Suppose -3*a = 4*k - j, 3*a + 3 = -5*k + 100. Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 8 + 2 - 14*o + 9*o. Determine f(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 929.6537ms?\nAnswer: 929653.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181431016 is divided by 7946?\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7935 + -7940. Let g be -9 - -1*(-4)\/(-2). Let u = 6 + g. Which is the closest to u? (a) -0.3 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 - 17. Calculate y(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18619 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 4896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 = -1, 4*q = -4*w + 336. Let j = w - 88. Let a be (-11 - 3\/(-1)) + 0. Is j less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 88. Is 5 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksdkkgdgddg. What is prob of sequence sd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 27. Determine j(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6360539\/208 - -451439\/13. Let q = f + -4143. Let c = -223 + 467\/2. Find the common denominator of q and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.4 + 114. Let i = -2.4 + 2.4. Which is the biggest value? (a) 1\/4 (b) i (c) -0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111202010 (base 3) in base 14?\nAnswer: -2b735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20933438*h**2*p**2 - h**2 + 23060*h*p**2 - h*p - 18*h + 28*p wrt h?\nAnswer: 41866876*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*o + 28 = 224*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1472 + -13?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Let f(h) = 2*h**3 - 8*h**2 - 4*h + 2. Let v be f(-3). Let p = v - -671\/6. What is the third smallest value in p, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -h - 37, 4*h - 12 = 4*a - 0*h - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 13 = 6*c, 60*t - 65*t + 3*c - 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 - 6*r + 4*r + 3*r - 3*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/18*(-12)\/(-10). Solve i = -2*i + 6, h*z - 12 = -4*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 7*f**2 - 9*f - 3. Let a be b(-8). Let v(z) = a*z + z - z + z. Determine v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -10*i + 5. Give o(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 + 4*u**2 + 8*u - 8. Let p be 1\/(21\/69) + 2\/(-7). Let g(m) = 7*m**3 + 9*m**2 + 16*m - 15. Let o(r) = p*g(r) - 5*w(r). Calculate o(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3964347 millilitres to litres.\nAnswer: 0.0003964347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let n(g) be the second derivative of 13*g**4\/12 + 7*g. Determine n(v(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15927535 and 0.3.\nAnswer: -4778260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from hhssohhsoos.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 9. Let f be 0\/(y\/(14\/4)). Let k be -9 - 190\/(-10) - 7. Solve k*a + 3 = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173927065 and 5655.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160452134.\nAnswer: 2, 80226067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 350, 4, 1.\nAnswer: -3, 1, 4, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 3 = 12*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b5 - 2?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14d - 1?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6521 - 3254 - 3267 - 14*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 5*h**2 + 3*h. Let p = 13 + -11. Let g be s(p). Solve 12 = 5*i - 3*d, 5*i - 8 = i + g*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*u - 381 + 381 to a + j*u and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279153621.\nAnswer: 3, 3446341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.135 - -0.135. Suppose -10*b = 21 + 9. What is the nearest to s in -0.4, 16, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -5*h. Let k be -1*(-2 - h) + 1. Suppose -3*n + 12 = -k*n. Solve n*x - 6 = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1013945 - 419045. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-4))\/((-53)\/212)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1209, 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = l + 4*c, c + 2 = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.160593 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 4*l, -5*s + 2*s + l + 11 = 0. Suppose 3*w = s*m - 25, -8 = 4*m - 3*m + 2*w. Solve -m*i = -6 + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/z**6*z)))\/((z\/(z**(-6)*z)*z*z)\/z)*z\/(z**4\/z*z)*z\/(z*z**(-2\/3)))\/((z*z**(-1\/2))**(2\/27)*(z*z**(-3\/2))\/z**4) assuming z is positive.\nAnswer: z**(-533\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 724891351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.899 - -0.101. Let v = r - 15. Let g = v + -52.00000082. Round g to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 72966.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25982590, -25982587, -25982584, -25982581, -25982578, -25982575?\nAnswer: -25982572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664 divided by 1.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 11*k - 7. Let w be r(-5). What is the second derivative of -23*n + w - 20 + 3*n**2 + 6 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 110*p**3 - 37 - 220*p**3 + 85*p**3 + 71.\nAnswer: -245*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p\/p**(1\/8)*p*p**(-1\/5)\/p)**(-3\/4))**38)**(-3\/11) assuming p is positive.\nAnswer: p**(25137\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156291712 is divided by 2903?\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 42*x - 26*x + 1112056 = 0. List the prime factors of x.\nAnswer: 2, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -33*(3 + (-40)\/12). Suppose h*t = 15*t - 24. Solve 4 = -4*w, -s = -t*s + 3*w + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c**3 + 2*c - 77276 + 77276. Let r be p(1). Solve -r*n - 3 + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -daa3 (base 14) to base 9.\nAnswer: -56732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14423123 (base 5) to base 11\nAnswer: a6327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17438*h**2 + 19615.\nAnswer: -34876*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-80)*-2 + -45 + 31218\/688?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74537, 74541, 74545, 74549, 74553?\n\"Answer: 4*b + 74533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (2 + 7) - (-345)\/46. What is the nearest to -5 in -0.4, -3, 0.1, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoq when three letters picked without replacement from {q: 1, o: 2, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 20*o + 10*o**2 - 2060 + 3996 - 1936 - 8*o**2.\nAnswer: -2*o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**9\/252 + 59*j**6\/20 - j**5\/12 + 71*j**4\/8 + 2049*j**2. What is the third derivative of n(l) wrt l?\nAnswer: 240*l**3 + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-99)\/66)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 0 - (-71 - -65)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10396 + -197522\/19. What is the nearest to 30 in -2\/3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5739 + -3097. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3179*y = 3158*y + 285873. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79092 and 15408?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*o = 20*o + 10*o - 4928 - 4388 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14 + 82 = 0. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234789693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647156196 to the power of 1\/3, to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2334 (base 7) to base 12\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 651 - 381 = 0. Let v = u + -81. What is the remainder when v is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 (base 8) in base 3?\nAnswer: 122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34857149 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkbhgzv. Give prob of picking 1 h and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-1*-1 + (2*sqrt(76) + sqrt(76))\/sqrt(4) - (sqrt(475) + 2*(sqrt(475) + (2*sqrt(475) - sqrt(475) - sqrt(475)))))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from dwiqqqmq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxmmgxgxxxmxxmbjb. Give prob of picking 1 x, 1 g, and 1 j.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782 and 285007734?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.03, -2.37, 0, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 162420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21 - 17 = -3*q, -3*h = 2*q - 24. Let s = q - 17. Let g be (-1227)\/411 + -5 + 8\/s. Are g and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640652 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-2 + -1 + (sqrt(2299) - (-2 + sqrt(2299))*1) - (sqrt(2299) + -2 + -5)*5) + -1)**2.\nAnswer: -5390*sqrt(19) + 113876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:25 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-360)*-40*(-135)\/1026*(-18)\/(-10)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04065195172 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -227 in -346, 2\/15, 1\/3?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -285. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 5, b: 7, g: 1}. Give prob of picking 3 b.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, 10, 12, 2.\nAnswer: -4, -1, 1, 2, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3))**(-13)\/((h**8\/h)\/h*h**(-1\/3))*(h**(2\/5))**(-10)\/(h**(1\/2)\/(h**(-6)\/h)) assuming h is positive.\nAnswer: h**(-233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*i = 52, 0 = -7*u + 2*u + i + 100. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 4. Let v = r - 7. Let i be -5*2\/(-5)*2. Which is the closest to 1? (a) i (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9466 divided by -119\nAnswer: 9466\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, -0.1618, 1\/6, -1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08728 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736 and 2208.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {s: 2, p: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5. Suppose -t = -2*t + 5*m - 18, -3*m = -2*t - 8. Let a(z) = 0*z**2 + z**t + 0 - 2. Suppose -25 = 5*q - 0*q. Determine q*a(i) + 2*v(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.4467077604 and 3.5.\nAnswer: 1.0532922396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 4*p - 3. Let c be v(-4). Let f(m) = 124*m + 17493. Let t be f(-141). Solve y - t = -c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -18 + 3 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-324)\/126*56\/(-6). Let j be 16\/9 - (-6)\/27. Solve 6*m = m - 25, -4*m = -j*r + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3432 and 31980?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263052432?\nAnswer: 2, 3, 1826753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.93333 and -44.\nAnswer: -85.06652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217180*t**3 + 57*t**2 - 2*t - 240421040.\nAnswer: -651540*t**2 + 114*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67262074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**3\/3 - 3*b**2 - 69*b. Calculate s(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22407, 22504, 22615, 22746, 22903?\nAnswer: 23092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525522, -525524, -525526, -525528, -525530, -525532?\nAnswer: -525534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-11)*626890\/51291.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 3*j**3 + j**3 + (j + j - j)*(2*j**2 + 3*j - 3*j) - 56*j**3 + 108*j**3 + 71*j**3 - 2*j**3 + 10*j**3 + 9*j**3.\nAnswer: 144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + b**2 - b**2)*(b**2 - 2*b**2 + 4*b**2)*(-64 + 7 + 1).\nAnswer: 168*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1006048670?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -824.4 - -921. Let u = o + -108. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -40\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/j)**(7\/3)*j*(j*(j\/(j**(2\/43)\/j*j))\/j*j*j*j)\/j*j*j\/j**13 assuming j is positive.\nAnswer: j**(-5141\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74597?\nAnswer: 74597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + f)*(-2*f**2 - 2*f**2 + 6*f**2) + 7*f**3 + 10*f**3 + 5*f**3 + 9 - 7*f**3 - 9 to the form v*f**2 + z*f + s*f**3 + m and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -412450 (base 12) to base 2\nAnswer: -11111001000011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 7}. What is prob of sequence xx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 11*j**2 - 13*j**2 + 36*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 14, 9, 4, 2 in descending order.\nAnswer: 14, 9, 4, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhjjjhhhjhjj. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 354.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4771531766 to the nearest integer?\nAnswer: 69076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 251.7 (b) -2\/3 (c) 51 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 2*h + 28. Let c be (146\/(-8) + 4)\/(12\/32). Let q be (-7)\/2*(c\/7 + 2). Is l(q) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 8213?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16875240 to the nearest integer?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218, -4575, -9700, -16221, -23766, -31963?\nAnswer: -40440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y**(-1\/4)*y)\/y*y)\/y)**(2\/13)\/((y\/((y*y**(5\/2))\/y))\/(y\/y**5*y*y*y)) assuming y is positive.\nAnswer: y**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 35*l - 450.\nAnswer: (l - 10)*(l + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(18)\/sqrt(3))*-5 + 5 + 2)**2.\nAnswer: -70*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -654*m + 656*m - 20, 5*t + 28 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 3789192*z - 897373500804.\nAnswer: -4*(z + 473649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n - 4. Let u be t(-3). Suppose -3*p = -4*c + 33, -5*p - 3 = 5*c - 3*c. Suppose -2*k + c = -u. What is the highest common factor of 63 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*a**3 - 2*a**2 + 97*a**3 + 3*a**2 - 305*a**3.\nAnswer: 366*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 + -190. Suppose 2*v = -5*l + 40, -5*v - 10 = -3*v. Suppose -5*f + l*f - 5 = 0. Sort f, 2, o in ascending order.\nAnswer: o, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(12) + sqrt(12) + sqrt(84)\/(sqrt(7)*-2)))\/(1*sqrt(256) - (sqrt(20)\/sqrt(80) + sqrt(4) + sqrt(4))))**2.\nAnswer: 972\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*o - 568*o + 77 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 9. Let g = 1273\/7 + -6595\/42. What is the common denominator of 94\/v*1\/2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -3\/2, 20, 2, 11 in descending order.\nAnswer: 20, 11, 2, -3\/2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 32 = 38. What is the tens digit of 67\/r*(-16 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15464485 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11*j\/j**(-4)*j**(3\/8)\/j**(-4\/7))**(-17) assuming j is positive.\nAnswer: j**(-16133\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 - 6*z - 8. Let i be c(6). Let u = i - -1. Calculate the common denominator of -14\/5 and (-266)\/(-24)*2\/u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 30\/15659?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 596, 2116, 3636, 5156?\n\"Answer: 1520*b - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -505 - -335. Let o = m - -1013\/6. What is the nearest to 1\/4 in -2, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*l + 3*l. Suppose -12*c = -l*c. Suppose c*b + 32 = 4*b. Solve -q + 4*w = 2*q - b, -29 = q + 5*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 19. Is l(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*p + 66*p - 23256. Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -44, -91, -156?\n\"Answer: -9*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1120*d - 9811. What is o(-9)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*i + 113. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7. Let g(c) = c + 1. Let s(n) = -2*g(n) + v(n). Let m be 0 - (0 - (-16)\/2). Let q = m + 2. Calculate s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*c**2 + 5*c + 36 wrt c.\nAnswer: -126*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-4))\/l))\/l**(2\/39))**(-33) assuming l is positive.\nAnswer: l**(1309\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 84 = -3*p - 2*q, 84 = 3*p + 5*q. Suppose 0 = 5*m - 5*k - 85, 2*m - 4*k = -4 + p. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/445 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -3\/5, 13\/19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 times 0.3\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-63)*(-9)\/15\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2 - 302*u - 1215. What is the remainder when 16424 is divided by y(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22616, -22600, -22584, -22568, -22552, -22536?\nAnswer: -22520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 51780*g - 51790*g - 5 + 103568*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/25*(-3)\/(54\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4284 and 114716.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1781*a**2 + 1750*a - 10. Let b(w) = 2*w**2 + w + 2. Let u(n) = -5*b(n) - x(n). What is the second derivative of u(m) wrt m?\nAnswer: 3542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 324*r**2 + 29*r - 103. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:56 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90790 (base 11) to base 4\nAnswer: 200121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(4\/(-102)) + 0\/16. Let w be (-17)\/r - (2 - (-158)\/(-3)). Does 17 divide w\/((-56)\/(-48) + 1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594587 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 2802*d**2\/7 + 678756*d\/7 - 11327256\/7.\nAnswer: 3*(d - 458)**2*(d - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2182129 divided by 10.\nAnswer: -2182129\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.938 - 0.062. Let y = z + 27.9. Let x = y - -3.4. What is x rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1390 and -151\/46827432.\nAnswer: 234137160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19189 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*t - 32 = 4*t, -2*l + 378 = 7*t + 362 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 1909*v**6\/3 - 2416*v**3\/3 + v**2 + 3014. What is the third derivative of l(o) wrt o?\nAnswer: 229080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2612\/(-10) + (-2)\/(-10). Let b = u - -400. Let n = -81 + b. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/15)\/((o**(-1\/9)\/o)\/o)*o*o\/o**(2\/35)*o**(-2\/13) assuming o is positive.\nAnswer: o**(16517\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n - 3*n + 6*n. Let d(f) be the first derivative of -f**2 - 1. Give 22*d(r) + 2*w(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*u, -9 = -5*u + 3*m + 13. What is the closest to u in 5, -3, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16534 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:55 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**8\/1680 + x**6\/120 - 5*x**3\/6 + 9*x. Let y(j) be the second derivative of f(j). Find the third derivative of y(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 35. Let h(x) = -2*x**3 - 4*x**2 - x + 5. What is the hundreds digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 15*x**3 - 258*x**2 + 175*x - 2111. What is z(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109\/52 + -24\/13. Solve 1 + h*s**2 - s = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 9. Suppose 0 = -2*m + o*a + 26, 5*m = 3*a - 3 + 86. What is the remainder when 67 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 2 + 92 + -73.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcrcccccrcccgcc. Give prob of picking 1 r and 2 g.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = -2. Let u = q + -12. Let j be 2\/u + (-2)\/6. Solve -y + 4*c + 8 = j, 3*y + y = -c + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.369793 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -262, -253, -242, -229, -214, -197, -178?\n\"Answer: r**2 + 6*r - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1116018*24\nAnswer: -26784432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272096 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021 (base 3) in base 12?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/26, 0.2, 15102?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1719.4*1.122\nAnswer: 1929.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 + i. Let y be g(1). Suppose y*w - t - 12 = 2*t, 4*w + 5*t = 12. Solve w*v - 2 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505023 at most as big as 505024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33857 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -126\/11, -2\/3, -2\/5, 12, 4\/3, -52\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 11 - -24) + 2 + -147\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15109 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/12 - 0 - (-22)\/30. Sort 4, -0.3, j, -2 in decreasing order.\nAnswer: 4, j, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21107 - 21631 = -2*q. Calculate the remainder when q is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhrbeeebeb. Give prob of picking 3 b and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 21*l**2 - 19*l - 6. Give g(22).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -314, -331, -350, -371, -394, -419, -446?\n\"Answer: -h**2 - 14*h - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.526528 millilitres to litres.\nAnswer: 0.009526528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220259849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 100175*r**2 - 17138125*r + 729905625.\nAnswer: 5*(r - 85)**2*(r + 20205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*2)\/sqrt(2))**2*3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by 10672.\nAnswer: -79\/5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00237639 and 4.\nAnswer: 0.00950556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1046*d**2. Let q(j) = -2*j**2. Calculate q(t(x)).\nAnswer: -2188232*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 687, 2534, 5507, 9600, 14807, 21122, 28539?\n\"Answer: -h**3 + 569*h**2 + 147*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, j: 5}. Give prob of picking 2 m and 1 j.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in -413, -0.09, 2\/5, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/755 (b) 3.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 617963003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (8 - (27 + -11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azjzazzbzzzzbzzbzx. Give prob of sequence zaxb.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127669457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + s = 403, 3*h + 3*s = -h + 801. Suppose -6*w + h - 60 = 0. Let j = -9 + w. Solve -5*c = -o - o - j, -o = -5*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.33451 and 2?\nAnswer: -4.66902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 9 = 0. Suppose 12 = z*f - 4*d, 6*d - 4*d + 6 = 0. Suppose 4*p = 3*y + 58 - 22, 4*y - 16 = f. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - s - 331*s**2 + 10.\nAnswer: -331*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*d - 4398 - 9052 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 22*d + 146. Let q be 0 + 6 - (-4 - -5). Suppose -q*u + 3*u + d = 0. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 245*x + 12. Let i(t) = -27*t**2. What is v(i(p))?\nAnswer: -6615*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1755, 3514, 5269, 7020, 8767, 10510, 12249?\n\"Answer: -2*g**2 + 1765*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**3 - c**2 + 1. Let p(u) = -u**2 + 6*u + 7. Let g be p(7). Let n = g + 4. Suppose 2*i - 3*l = -2, 3*i - 2*l + n = -i. Determine y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 461 = -649. Calculate the least common multiple of z and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.500717 micrometers in millimeters?\nAnswer: 0.007500717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*q = 0, w + q + 2 = 3*q. Suppose 0 = -5*y - 25, p + 3*y + 5 = 2*y. Suppose -w*j + p*j = -10. Sort j, -3, -1 in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-15 + 9 + -16 + 55).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.495063 rounded to 3 decimal places?\nAnswer: -1.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -119 (base 15) to base 9\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/25)*h*h\/h**30 assuming h is positive.\nAnswer: h**(-701\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4400\/(-165) + 2\/(-6). Which is greater: -34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340152 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = 4*w + u, -3*u + 3 = -2*w. Let z be (-8 + w)*(-7)\/14. Suppose 2*o - 4 = -0. Calculate the highest common factor of z and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 1, d: 1, x: 1, y: 2, n: 1}. What is prob of picking 1 x, 1 n, and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*k + 39454 + 4147, 0 = -5*k - 35. What are the prime factors of t?\nAnswer: 2, 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*d = 29, -j + 11 = 9*d - 4*d. Let x be (0 - -1) + 3*j\/9. Suppose x*i = -3*i + 30. Solve -4 + i = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 32 = -28. Is (-23116)\/(-12) + 4\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410\/41*(-3)\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-1 + (-7)\/2*-10). Calculate the least common multiple of (5 + (-2)\/2)*(-144)\/s and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 28 = -i, 5*k - 6*i - 22 = -7*i. Suppose -k*b + 4*b + 2*x = -61, 0 = 5*b - x - 341. Calculate the remainder when b is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/6 - 5*u**3\/6 - 9*u**2\/2 - 3*u. Suppose 0*v + 2*v - 16 = 0. Let x(a) = 3*a**2 + 8*a + 14. What is v*r(y) + 5*x(y)?\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18347b (base 12) to base 2.\nAnswer: 1100110101011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 48550?\nAnswer: -24275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o + 2 = 0. Let n(l) = 3*l - 2. Let q be n(o). Suppose 9 = q*m - 3*m. Calculate the lowest common multiple of 3 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bur when three letters picked without replacement from brrururruubu.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w + 10442 = 426*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 1, g: 1, u: 1, r: 3, x: 2}. What is prob of picking 2 l and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 14 = -3*v, 2*k = -52*v - 16185 + 16039 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1434858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 - -239. Suppose 0 = 4*v + v - b. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10) + (-2)\/(-10). Let a be ((-24)\/(-6))\/(u\/8). Suppose -4*s + a = 3*f, -f + 5 = 2*s - 9. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 24) + -42 + 28\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-75)\/36)*(-547600)\/328560.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 3*g + 4. Suppose -3*u - u = 0. Suppose 5*k = -3*x - x + 22, u = 3*x - 3*k - 3. Calculate l(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 6*w**2 + 4*w - 4. Let m(p) = p**3 - p**2 - p + 1. Let x(d) = -5*m(d) - t(d). Give x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q + b, 3*q - 2*q + b - 2 = 0. Suppose 3*t = 5*d - 31, -q*t + d - 12 = 2*d. Let h(m) = 2*m + 10. Let x be h(t). Sort x, 3, 7, -3\/7.\nAnswer: x, -3\/7, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 0.05, 3\/17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 2892*b - 8698. Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - 5.73. Let x = q - -6. Sort x, 2, -1\/3.\nAnswer: -1\/3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -1\/9 (b) 3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750848310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, 44, -4 in increasing order.\nAnswer: -4, 4, 24, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455.1402 minutes to seconds.\nAnswer: 27308.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1648 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/171, -20, 5, -1.\nAnswer: -20, -1, -1\/171, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(192) - (sqrt(192)*-2 + sqrt(192)) - sqrt(192)))\/sqrt(8))\/(-5*sqrt(64)\/(sqrt(48)\/sqrt(6)))*1.\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52536540 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 8599*q**5\/5 + 360*q**3 - 2*q - 3498. What is the third derivative of h(z) wrt z?\nAnswer: 206376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40496 + 40631. Which is smaller: 1216\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 348, -14, 298 in increasing order.\nAnswer: -14, -0.4, 298, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75119*n**3 + 26279*n**3 - 10*n + 15143*n**3.\nAnswer: 116541*n**3 - 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4841 - -2.4841. Which is the closest to -3? (a) m (b) -0.2 (c) -4 (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:21 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10260 and 30.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872522835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2 - 1)*5. Let s(c) = c**3 - 3*c**2 - 7*c. Let o be s(5). Let f be o + 5\/4 + 11\/(-44). Solve -x = -z*x + f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 17*v**2 + 14*v + 36. Let b(g) = -g**2 - 4*g + 3. Let m be b(-3). Suppose a + 2*a - m = 0. What is the lowest common multiple of a and x(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 divided by -2.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 289886750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = z, 25*b - 13 = 2*z + 20*b. Suppose -2*d - 5*v + 31 = 0, -3*d - v = -2*v - 21. Suppose 2 = 2*f - d. Put z, 1, f, -2 in descending order.\nAnswer: f, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155440 divided by 268.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -41, -18 in decreasing order.\nAnswer: 7, -18, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 8, x: 5}. Give prob of picking 2 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpapaxaaaaxxapkixkxp. What is prob of picking 1 x and 1 p?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4 + 0 + 2*p - 4*p. Let b be f(-4). Solve -b = 2*l - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/15)\/h**(-2\/7)*(h\/(h\/(h*h**(-1\/2)\/h*h)*h*h))\/(h*h\/(h*h**(-4)*h*h)))**(2\/119) assuming h is positive.\nAnswer: h**(-913\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*i = -13, 4*i - 6 = -d - 0*d. Let m = -98.9 + 99. Which is the closest to 1? (a) d (b) 0.7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 2*a. Put a, 0.3, 1 in decreasing order.\nAnswer: a, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-2089.\nAnswer: 25068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/15))\/p)**(8\/5))**30 assuming p is positive.\nAnswer: p**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*t + 22 = 4*t, 2*j + 2*t = 2. Let s(q) = -4*q**3 - 3*q + j*q**3 - 2*q**2 - 2 + 4 + 0. Does 30 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, o: 2, r: 4, e: 3}. What is prob of sequence eiw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67077 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1264072 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 10*c**2 + 6*c + 11. Calculate x(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -55*z - 60. Which is the third biggest value? (a) -4\/7 (b) 80 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let r = 42 - 28. Suppose k + r = 3*k. Give m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408\/7 + -58. Let h = -240 - -245. Put h, 4, c in ascending order.\nAnswer: c, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/420 + k**6\/80 - k**5\/40 + k**4\/48 + 5*k**2. Solve n(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = 30. Let h be 2\/(-3) + b\/3. Suppose o - 20 = -h*o. Sort 3, 0, o in descending order.\nAnswer: o, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*b**6*j + 3*b**4*j + 10*b**2 - j + 63 wrt b.\nAnswer: 6000*b**3*j + 72*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 13*j - 5. Let t be u(-12). What is the lowest common multiple of t\/2 - (-7)\/(-14) and (23 + -2)\/((-15)\/(-10))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290 and -172544.\nAnswer: -50037760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 + 2*c**3\/3 + 16*c**2\/3 - 8*c.\nAnswer: -2*c*(c - 2)**2*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z = -68*z + 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 + 0 - (-18183)\/(-15048)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from iiooiii.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/12 + x**3\/3 + x**2\/2 + 2*x. Suppose s(q) = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -656*g**2 - 114*g wrt g.\nAnswer: -1312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3699719294 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 3. Let f(a) = -390*a - 391*a + 4 + 780*a. What is -6*f(p) - 7*i(p)?\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*z + 0)*(4 - 5 + 0) - 3*z - z - z + 4 + 61832*z - 4 - 63173*z + (2 + 2 - 2)*(0*z - 4*z + 5*z) as p*z + j and give p.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -75\/4. Let s = -4.5 - -0.5. Which is the second biggest value? (a) -2 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -61. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.5. Let z be (-3)\/18*4 - (-11)\/3. What is the nearest to 1\/2 in 1\/6, z, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012221 + 1?\nAnswer: 101012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7245*c - 50473. Determine o(-7).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 times 0.005?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 9. What is the remainder when (t\/6)\/((-6)\/99) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/12 - 2*s**3 - 14*s**2 - 17*s. Solve u(c) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2 - 6*o - 4. Let t(u) = -7*u**2 - 5*u - 3. Suppose -14*r = 24*r + 114. Let b = 3 + 1. Calculate b*t(m) + r*f(m).\nAnswer: -4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56027 is divided by 321.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (3*(-1*sqrt(204) + sqrt(204)) - sqrt(204)))\/(sqrt(144)\/(1*sqrt(12)))*-4.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 78 = 24. Suppose -126 = -h*k + 126. Solve k*o - 33*o = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -263940 by -4.\nAnswer: 65985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114 (base 5) in base 10?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386 - -450. Suppose -25*d = -20*d - 160. Calculate the smallest common multiple of d and m.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1fc9d5?\nAnswer: 1fc9d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. What is the third derivative of g**2 + q*g**3 + 1 - 3*g**3 - 1 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 63. Let a = -5.9 - f. Let n = a + 2.2. Does 0.2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -10 - -10 - -31.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s + 4*z - 56, -64 = -3*s - 2*z. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6052, 12096, 18136, 24172?\n\"Answer: -2*s**2 + 6050*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35440, -70900, -106410, -141970?\nAnswer: -177580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - (-18)\/4. Suppose i = -2*i - 9. Suppose 0 = 5*p - 4 - 6. Put u, p, i in increasing order.\nAnswer: i, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m**2 - 3852 + 3852.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23674 + 0\nAnswer: 23674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 399*m - 4*m**2 + m**5 - 4*m**5 - 442*m - 2*m**2 wrt m.\nAnswer: -60*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 18*a + 77. Give j(20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxsg when four letters picked without replacement from {j: 1, l: 1, s: 2, g: 1, k: 1, x: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7950040 or -7950041?\nAnswer: -7950040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 344.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15*y**2 - 9*y + 9. Suppose 0 = -35*o + 37*o + 2*j - 8, -3*o - 4*j = -14. Let k(g) = -g**2 - g + 1. What is o*s(c) - 18*k(c)?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*b*x**2 - 4*a*b*x - 2*a*x**3 - 124*a*x**2 - 3*a*x + 2*a - b*x**3 + b wrt x?\nAnswer: 4*a*b - 12*a*x - 248*a - 6*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 603898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbibnbnwbijbi. Give prob of sequence inw.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 512939 + 17?\nAnswer: 512955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 39 = 60 - 21. Let p(s) be the second derivative of 9*s + 1\/2*s**4 + w*s**3 + 0 + 0*s**2. Let z(v) = -v. What is z(p(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*a*m**4*z**2 - 8*a*m**2 - 2*a*m*z + 17*a*z**2 + 13*z**2 wrt m?\nAnswer: -216*a*m**2*z**2 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k + 50. Let v be 108\/k - (-6)\/(-30). Let l = -11 - v. Sort -5, 2, l in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -678 + 1400 - 475 + 3*t in the form q + d*t and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.25 + 2.65. What is the nearest to -0.1 in 2, -1, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -1\/21*x**3 + 0*x - 1\/28*x**4 + 0*x**2 - 47. Factor s(g).\nAnswer: -g**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 16*y - 20. Let z(o) = 3*o**2 + 23*o + 24. Let m(w) = 5*a(w) + 4*z(w). Give m(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.079 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24311 + -32?\nAnswer: -24343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 6 = 41*p. Let a(r) = 16*r**3 + 7*r**2 + 7*r + 1. Let k(q) = 5*q**3 + 2*q**2 + 2*q. Give p*a(d) + 7*k(d).\nAnswer: 3*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjkjjjjjjjk.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 7816\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -262, 3 in descending order.\nAnswer: 5, 3, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -3*w - 12. Let m(p) be the first derivative of -2*p**w + 1 - 5 + 6. Let u(c) = c. What is u(m(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 + (-13616)\/(-6). Let p = j - 2291. Let g = p - -21. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l + 8. Let n = -1498 - -1493. Let i(t) = -7*t - 7. Calculate n*x(y) - 6*i(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28680 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*j**2 + 546647*j + 967104.\nAnswer: (j + 42048)*(13*j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.94 + -1.06. Sort t, -0.2, -26, 1 in descending order.\nAnswer: 1, -0.2, t, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3\/5 - 42*w**2\/5 - 204*w\/5 - 216\/5 = 0 for w.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 9722, 2 in descending order.\nAnswer: 9722, 2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14576821 at most -14576820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(30\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 - 249042*y + 99617\/2.\nAnswer: -(y + 99617)*(5*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 9*w**2 + 3*w**2 + 4*w**2 as z*w**2 + q*w + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:49 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 - -24378748?\nAnswer: 24378944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2471033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 34*y + 15 - 21.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16060 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 39 = -2*s + 363, -5*s = -5*q - 915. What is the smallest common multiple of s and 236?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) -4\/3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 - q. Let r(o) = -8*o**3 + 4*o**2 - 6*o - 3. Determine -6*j(g) + r(g).\nAnswer: -2*g**3 - 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 116 = -0*d. Let o = d + -10. Solve k - 5*g = -o, 4*k + 3*g = -2*g - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056636 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433.13 - -433. Is -1\/7 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1168 - 1013. What are the prime factors of h?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11464793*x**3 + 4377098.\nAnswer: 34394379*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 25526*q - 2279738. Give w(89).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Suppose 9*j - 5*j = 8. Suppose -l + 2 = j*y, 5*l + 3*y - t = -2*y. What is the nearest to 1\/5 in 4\/3, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12.2 in -0.19, -3, 0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 14*p - 18. Let d be g(-14). Find the common denominator of -76\/15 and (-1064)\/d*9\/48*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 40*h - 1366. Give a(43).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346 divided by -1554254.\nAnswer: 173\/777127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (370\/1110)\/((-3)\/(-3510)*6).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (280\/630)\/((-8)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/47084 and 83\/366718.\nAnswer: 109281964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5116, -17098, -35934, -61618, -94144, -133506, -179698, -232714?\n\"Answer: v**3 - 3433*v**2 - 1690*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -6*(sqrt(1584) + -6*-3*sqrt(1584))) + 3.\nAnswer: -7 + 2736*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 2:46 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 5. Suppose -3*y - 2 - 2 = 4*q, -5*y = q + 18. Let s(r) = -1. Give y*s(d) + l(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v**2. Let i(z) = -23*z**2. Calculate l(i(c)).\nAnswer: -8993*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 4 - 1)*(17 - 9 + 2) - 5 + 1 + 8)*(0*g + 2*g + 0*g) to v*g + z and give v.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.79 + 4.36. Let q = j + -0.15. Is 0 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**2 - 30*p + 1. Let d be f(-17). What is the third derivative of -14*h**2 - 4 + 22*h**3 - 33*h**3 + d wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbvubv. What is prob of sequence bv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -127, -206, -307, -436, -599?\n\"Answer: -r**3 - 2*r**2 - 50*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - ((-13 - -38) + -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (0 + sqrt(1700) - sqrt(1700)) + 4 - sqrt(1700)) + sqrt(1700) + 0 + sqrt(1700) + -4)**2 + -3.\nAnswer: 6797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/556 and -115\/408.\nAnswer: 56712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.55 - 0.45. Let u = -5 - -5. Which is the biggest value? (a) u (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -4) + 1469 + -4. Suppose -4*o + j + 69 = 0. List the prime factors of o.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(1573) + -1).\nAnswer: -55*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, u: 6, s: 2, i: 1, x: 4}. Give prob of sequence suu.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 78\/(-24). Let c be (1\/(-3))\/((-9)\/27). Sort 3, c, l in decreasing order.\nAnswer: 3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 20*d**2 - 19*d + 45. Let s be w(-21). Let x be (4 - 0)\/(2 - 1). Suppose 3*g - 2*r = -12 + 5, -g - x*r = -21. Solve -4*a - s = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101200 (base 3) to base 16.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 72, -2\/13, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 4982*v**2 - v**3 + 0*v - 5*v + 0*v**3.\nAnswer: -v**3 - 4982*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 3*k**4\/4 + 5*k**3\/6 - 2*k**2 - k. Let b(q) = 22*q**2 + 12*q - 10. Let a(s) = 5*b(s) - 12*r(s). Find d, given that a(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6782\/5 + 39\/65. Let y = h + 1466. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*f - 412*f + 195*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. Suppose -2*w - 6 = l, -9 = -5*l - 3*w + v*w. Suppose 3*f - 586 = 5*m, 2*f + m = -l*m + 369. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 16*x - 6. What is the remainder when s(-11) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14978 = 3*j, 0 = -14*n + 19*n + 16*j - 18683. Let m = 4318 - 6472. Let w = n + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, 8.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1\/360 (c) 0.2 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1033 * 0.01\nAnswer: -0.001033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.3. Let b = 0.0329 - -0.3671. Sort b, 14, s.\nAnswer: s, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266307690?\nAnswer: 2, 3, 5, 11, 73363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5130 is divided by 385?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3013, -4986, -6985, -9010, -11061?\nAnswer: -13138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Let z = -2 + g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 1200 = 0. Does 25 divide ((-4)\/(-12))\/((-2)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Let w be (8738\/o)\/(-18 + -27). Let j = w - -501\/5. What is the common denominator of -77\/10 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 19 - 2)*(r + 2 - 2 - 2*r - 2*r + 5*r - 3*r - r + 5*r - 2*r - r + 4*r + (4*r - 3*r - 2*r)*(1 - 2 + 0) - 3*r - 2*r + 3*r + 3 + r - 3)*(5 - 2 - 1).\nAnswer: -144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 2\/7, 4\/7, 5, 44?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -77. Let g = -4 + 8. What is the smallest common multiple of g and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(84\/24 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4187859703.\nAnswer: 83, 137, 368293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.0922, 31, -5, 1\/20, -2\/11 in increasing order.\nAnswer: -5, -2\/11, 1\/20, 0.0922, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 6654*g**2 + 3608499*g - 90478152.\nAnswer: 3*(g - 24)*(g + 1121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 16 + 45*z - 63*z)*(2*z**2 - 1 + 1) to the form c + g*z + t*z**2 + f*z**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265 is divided by 1253.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - q**2 - q - 1. Let m(n) = -n**3 + n**2 - 4*n - 1. Let o(t) = -m(t) + 2*x(t). Calculate o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -11102020?\nAnswer: 11102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1462066803058.\nAnswer: 1462066803058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 3*q)*(-3*q + 4*q - 2*q)*(-9 + 9 + 8*q) + 2*q**3 + 3*q**3 - q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1623 (base 11) to base 8\nAnswer: -4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242.938646365 + 270918.565943365. Let g = d - 269558.6278. Let x = 1117 - g. Round x to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = 5*g - r, r = 5. Suppose -2*x - 19*f + 4 = -21*f, 3*f = -4*x - 27. Let u = -3 - 1. What is the nearest to 2\/7 in x, g, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, -143, -2\/19, -2\/7?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4318399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 + 8*h + 9. Let i(n) = 2*n**2 - 4*n + 2. Let l be i(2). Let a = -8 + l. What is u(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*p + 5*k, 3*k - k + 4 = 4*p. Suppose r + 5*j - 8*j = -203, j + 983 = -5*r. Let l = 987\/5 + r. Which is the closest to l? (a) 5 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -13. Let k(g) = 85*g - 1. Let h be k(1). Calculate the greatest common divisor of h and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -j - 26, -14898*j + 91 + 35 = u - 0*u - 14903*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4*368\/(-207))\/(6\/9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from eerbmviivebmevr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*t + 51 + 41 + 84, 3*p = -t + 49 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1715.000254 + -1715. What is k rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*u**4 + 2*u**3 - 6*u + 7*u - 5 - 5 + 9*u wrt u.\nAnswer: 216*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g - 16. Let n(h) = 3*h + 11. Suppose -5*d = 2*d. Let u be n(d). What is the tens digit of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l**2 - 159*l**3 - 53*l**2.\nAnswer: -159*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 326 and 0.4?\nAnswer: 130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujjjjj. Give prob of sequence jju.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -38. Let o = p + 7. Suppose 2*s + h - 5*h = -10659988, -o*s + 5*h - 10659985 = 0. What is s rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/637 and -29\/15925.\nAnswer: 15925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1132411*j*o**3 - 10*j*o**2 + 389160*j - 2*o**3 wrt o.\nAnswer: -6794466*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/73)\/p))\/p)**(2\/45)\/(((p**(-23)\/p*p)\/p)\/(p**(-31)*p)) assuming p is positive.\nAnswer: p**(-19562\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, 9, 0.16, -128, 0.03?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*o - 69*o**3 + 76*o)*(2*o**2 - 5*o**2 - 1 + 0).\nAnswer: 207*o**5 + 69*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070*y**2 + 4280*y**2 - 1067*y**2 - 1059*y**2 - 1073*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 19*m + 34. Suppose 3*y + 4*i - m = 0, 0 = y - i - 2 - 0. What is the least common multiple of (-1)\/(-2) - 70\/(-4) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 3 - (3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 339943560 to the nearest one hundred thousand.\nAnswer: 339900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -45, 77.\nAnswer: -45, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:03 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 16. Suppose t*q = -q. Factor 4*x**2 + q*x**3 + 4*x**3 - 3*x**4 + 2*x**4 + 2*x**4.\nAnswer: x**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*w + 17, -6*r - 5*w + 5 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4212 divided by 3819.\nAnswer: 1404\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from lkklkhlkrylyllhl.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -149*x - 27*x - 154*x - 17 + 45*x. Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2078326\/7 equal to -296905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 0.4. Let i = -0.91 + w. Let x be 2 + -2 + 6\/(-16). Which is the closest to i? (a) 0.5 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -6. Suppose 0 = 4*q - 9 - i. Suppose -2*x + x = -q. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxgcxxxggcuenxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(28\/(-6) - -5). Let p = g - -30. Solve 0*j = 6*j + p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130257529.\nAnswer: 130257529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31675 by 2.\nAnswer: -31675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -647*p**2. Let m(o) = 6*o - 13 - 3*o - 1 + 14. Give i(m(y)).\nAnswer: -5823*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*c - 13. Suppose -5 = -9*m + c*m. Suppose m = -4*o + 205. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -3) + 0 - 2 - -1. Suppose -5*p + 2*u = 3010, -r*p = -u + 1518 - 313. Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1163 + 815. Let n be -2*1*(-54)\/l. Let j = n + -2005\/174. Calculate the common denominator of 89\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9527 and 26494587?\nAnswer: 26494587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-12) + 114\/8. Let x = m + -107\/7. Which is the second biggest value? (a) x (b) 4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2265787\/3 or 755261?\nAnswer: 2265787\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23251 - 23208. Let o(w) = 3*w**2. Let y be o(1). Suppose -y*b = -0*b - 15. What is the remainder when f is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226 or -114165\/502?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 881919972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n - 1\/900*n**6 - 42 - 8\/3*n**3 + 0*n**4 - 1\/1500*n**5 + 0*n**2. Let k(u) be the third derivative of r(u). Factor k(q).\nAnswer: -2*q*(5*q + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 5\/7 (c) -0.126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 101.5470161 and -0.289.\nAnswer: 101.2580161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c**2 + 3*c - 3. Let o(z) = -9*z**2 + 3*z - 3. Let j(i) = -6*o(i) + 5*t(i). Let n be j(2). Factor 2 + 9*b**2 + n*b + 9*b**2 - 25*b.\nAnswer: 2*(3*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 + 4.9.\nAnswer: 22.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s**4 + 1\/105*s**7 + 0 - 4*s**2 + 2\/3*s**3 + 0*s**6 + 0*s + 0*s**5. Differentiate l(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z**2 + 1. Let c = 3 - 4. Let o be q(c). Let v = o - -19. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z**3)*((-1 + 3 - 3)*(-1 - 2 + 5) - 1 + 3 + 0 + (1 + 9 + 4)*(2 - 1 + 0)).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9481*z**2 + 2128*z**2 + 8304*z**2 as g + b*z + l*z**2 and give l.\nAnswer: 19913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 2*g**2 + 12*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1162)\/2212 + ((-323)\/38)\/(-17)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 1) + 80 + -70 + (1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let n(x) be the first derivative of 3*x + 1 + 2\/5*x**5 + 0*x**2 + 0*x**y + 0*x**3. Find the first derivative of n(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 396 - 392. List the prime factors of k.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434 by 1.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.5 and -0.037219?\nAnswer: 11.537219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3287\/3 - -1096. What is the second smallest value in 1, s, -2\/3, -7\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22302313 + 212?\nAnswer: -22302101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose -2*a = t*h + 1, -38 = -3*a + 4*h + 3. Let y(f) = f**2 - 5*f - 4. Is 8 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116468 * -6\nAnswer: -698808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*j - 24, 3*r + j = 7*r - 13. Solve -r*f - 8 = -0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219919 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 8. Let d be g(-8). Let r(c) = c**2 + c + 6. Calculate r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 36*p - 34. Suppose -4*h - 6*h = 150. What is the remainder when i(h) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 330 = 3*b. What are the prime factors of b?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 461.9 - 462. Which is the biggest value? (a) d (b) -25 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.29 - 0.71. Let h = r - -54. Let d = -2 - -6. Which is the closest to -1? (a) 1\/4 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 104. Calculate the greatest common factor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z + 4*z)*(2*z**2 - 4*z**2 + 0*z**2) - 3*z**3 + 4*z**3 + 0*z**3 to n + p*z**3 + r*z**2 + w*z and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 3. Let n be (4\/(-8))\/(v\/36). Let z be 2\/(-6) - (-5940003)\/n. Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-42) + (-2)\/(-6). Let a = 27.8 + -31. Let t = a + 2.9. Put -1\/4, g, t in ascending order.\nAnswer: t, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/29*(-27927)\/(-1926).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 7\/5, 295, 0.3 in decreasing order.\nAnswer: 295, 7, 7\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r + 7. Let v(y) = -y**3 - y**2 + 1. Let g be v(-1). Let n be g*(0 - (3 + -3)). What is the units digit of l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 - 28*k**2 - 27*k**2 + 124*k**2 - 69*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*t = -266*t. Solve t*a = a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*d = 674 - 1489 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(42)\/(3*sqrt(6)*-1 + sqrt(6))*-5.\nAnswer: 2 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 39*q - 40. Let l be k(1). Suppose 0 = 3*b + 5*c - 7, -8 = 2*b + 2*c - 5*c. Let n be l\/b*0\/2. Solve -6 = -3*a - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99)\/(-30)*2\/3 - 2. What is the biggest value in 1, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/12 + m**3\/2 - m**2 + m. Let q = 6 + -2. Calculate b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 17 + 17 + 3*h**2. Let d(m) = -25*m - 30. Let z(a) = -a - 1. Let k(u) = d(u) - 30*z(u). Calculate k(i(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402752*t = 5*f - 402750*t - 28, -2*t - 12 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.7 and -32518885 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-361 + -13 - -4)\/((-2)\/13). Does 16 divide (a\/26)\/((-5)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*l = -0*z - 18, -2*z = 4*l + 4. Let t be -22 + (-6 - -3) + z. What are the prime factors of 3 - (t + 2 - 2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/(138\/(-12))*(-11 - -12). Which is the closest to -0.2? (a) -1\/6 (b) 3 (c) g (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 13. Calculate p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1890283.63 to the nearest 100.\nAnswer: 1890300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3 in increasing order.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 104. Let g be (1\/(-5))\/(6\/n). Find the first derivative of 3*l**3 - g + 1 - 1 + l**3 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217900 is divided by 119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 596*(-1)\/(-2) - 4 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398 + -872. Let b = v + 796. Suppose 14*d + 0*d - b = 0. Calculate the greatest common factor of 115 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 10*d - 19. Let v be w(10). Suppose 2*p - 623 = 5*o, -6*o + o - 621 = -4*p. Let k = o + v. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 - 160. Suppose -7*u = m - 507. What is the remainder when u is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 divided by -4?\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.300101 rounded to 3 decimal places?\nAnswer: 23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 12) to base 3\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/138 and 21\/782030.\nAnswer: 53960070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 103400*d + 1336445000.\nAnswer: 2*(d + 25850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i + 4*m - 7*m, 2*m = 2. Let z(c) = 49 + 8*c**2 - c**i - 49 - 9*c**2. Let u(k) = 39*k. Give z(u(v)).\nAnswer: -3042*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 - g**2)*(27*g - 22*g + 9*g**2 + 24*g + (2*g + 2*g - 6*g)*(4*g - 5*g + 4*g)).\nAnswer: -3*g**4 - 29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*i - 168. Suppose -i*q - 75 = -48*q. What is the remainder when 93 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1210) - (sqrt(1210) + sqrt(1210) + sqrt(1210) + sqrt(1210) + (1*sqrt(1210) - sqrt(1210)))*-6)\/((sqrt(12)*-4*-5)\/sqrt(6)).\nAnswer: 165*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4716 + 379*h**2 - 3*h + 3916 + 5236 - 15318 wrt h.\nAnswer: 758*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -24433041.\nAnswer: -122165205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g + 1153*g - 210*g + 4890 = -5250 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*p - 18. Let t(y) = -5*y**2 - 69*y + 1. Let v(k) = 8*k**2 + 138*k - 3. Let r(n) = p*v(n) - 7*t(n). Find the second derivative of r(f) wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 383*m**2 + 629*m**2 + 667*m**2 - 549*m**2 to j*m + i + u*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 10. Let z be x(0). Let i = z + -9. Solve -2 - i = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 38238?\nAnswer: 5\/38238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 2. Let k(p) = -11*p**2 + 6*p - 7. Let w(h) = -k(h) + 4*m(h). What is w(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1899 + 1894. What is the nearest to 3 in k, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) + (0 - 0). Let i = 548 + 181. Let g = i + -729.07. Put 1, g, c in ascending order.\nAnswer: g, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3259841.\nAnswer: 13, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2879236.\nAnswer: 2, 29, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + 5*l + 1, 6 = 2*c + 3*l. Let o(y) = 11*y + 3. Let p be o(c). Suppose 116 = 5*f + p. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*a + 12 = 27, -4*a - 12 = 4*j. Suppose z + 1 = 3, j = 4*t - 2*z - 16. Let u(o) = -1 + 1 + t*o - o**2 - 4. What is u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - -7. Let y be -3*((-48)\/9 + 1). Solve -u = -5*c + 3*s + y, 0 = 5*s + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-28) + 3\/5427*-2542. Let y = 46\/27 + r. Let i = 14593\/4221 - y. What is the common denominator of 1\/2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 9774039?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325) + sqrt(325) + sqrt(13))**2 + 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125953792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*y**2 - 6 + 0 - 259*y + 304*y.\nAnswer: -3*(y - 1)*(13*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.6 + -13.19. Let x = q + 0.326. Round x to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + -24 + 15 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6542951 and 1189?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17592 and 122411?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 - 11*m + 1. Let n be f(11). Suppose -6*w = -w - n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*q + 18, -2*i + 3*i = 5*q + 24. Let n(j) be the first derivative of -5*j**2\/2 - j + 1. List the prime factors of n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/3*9\/(-45))\/(4*(-10)\/1230).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -17a?\nAnswer: 18e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4 + 2. Suppose -u*y - 8 = -6*y. Suppose 0 = 5*k - y*k + 6, -24 = -s + 5*k. Calculate the remainder when 37 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5572977604 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74208.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 535142\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 316360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006243283 rounded to six dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/15 - 0)\/(72\/(-30))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 1. Suppose 7*u - 20 = 2*u. Suppose -3*t = -u*i + 14, -4*i + 0*i - 3*t + 26 = 0. List the prime factors of o(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didiiiiiii. What is prob of sequence id?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 12 = -2*f - 4*q, -20 = -2*f + 3*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4131*k + 471. Let q(v) = -v + 13. Let g(d) = a(d) + 3*q(d). What is the first derivative of g(i) wrt i?\nAnswer: 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 154, 151?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -964.65013 rounded to one decimal place?\nAnswer: -964.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 232\/28 - (-14)\/(-49). Suppose 0 = -4*t - 4*i + 20, -2*t - 3*i = -d*i + 25. Which is the closest to t? (a) 1 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/18225 and -181\/3703320.\nAnswer: 18516600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*f - 686. Suppose -2*j + 62 = -j - g, 5*j = -5*g + f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 85683?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 10\/(35 + 2130\/(-60)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -19 - -3) + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 127 = 53 - 54 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 7, 26384 = 2*b + 4*n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - -5 - -1 - -4) - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -81.5, 0.42, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 124645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23135452\/5 greater than -4627090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -2. Suppose q*o + 0*o = 8. Let g be (-3 + o)\/((-2)\/24). Solve 3*b - 3*h - g = 0, -12 + 2 = -2*b + 4*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.22 and 884560?\nAnswer: -1079163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-20) - (17 + -13).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7142073 decades to centuries.\nAnswer: 0.07142073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 19. Let v be a(-14). Let c = 248 - 244. Suppose -2*d = d - c*z - 97, 0 = v*d - z - 173. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10269 + 10275. Solve -146*n + v = -140*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -u. Suppose -4*g + 3*g = u*s - 26, 3*s = 2*g + 25. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100011011 (base 2) to base 3\nAnswer: -1002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 - 4*k**4 - 9*k**2 - k**4 + 2*k as p*k**2 + w + c*k + h*k**4 + u*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*z - 4*f, 3*z - 113 = 2*f + 2*f. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.063, 53, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12868.7 minutes in nanoseconds?\nAnswer: 772122000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2306, 3294, 4924, 7196, 10110, 13666, 17864?\nAnswer: 22704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-1) - 204\/(-33). What is the third biggest value in 2, 0.2, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 126616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4 - 799*w**3\/9 - 106090*w**2\/9 - 2297584*w\/9 - 168448\/3 = 0.\nAnswer: -47, -32, -2\/9, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**2 + 105*u**2 - 35*u**2 - 6*u**2 + 5 - 2.\nAnswer: 85*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 7*l**2 + l + 3. Suppose 178*c = 124*c + 327 + 51. Give h(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 20 + 76. Suppose -f*s + 74 = -86. Sort -3, 1, s, 3\/7.\nAnswer: -3, 3\/7, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 3*j**3 - j - j**2 - 8*j**3 in the form i*j**3 + o + w*j + f*j**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162876 is divided by 54284.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 - -180. What is the smallest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110001000 - -1011011?\nAnswer: -11011100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11713, 23224, 34739, 46258?\nAnswer: 57781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s + 37. Calculate h(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 9. Suppose 4*n = 8*n + 36. Give t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from ofdrklk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/7)*a*a*a*a**2*a*a*a)\/(a*(a\/a**(-1))\/a)**(-8))**(4\/23))**(1\/8) assuming a is positive.\nAnswer: a**(173\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 11. Suppose 2*w - 1 + 3 = 0. Let d(j) = -14*j**2 - 2*j + 1. Let k be d(w). Give z(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59e (base 16) in base 12?\nAnswer: -9ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 5*k)*(-1 + 4 - 4)*(-2*k - 2*k + 5*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 5*q**2 - 15*q**3 - 3*q**2.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*g = -10, 5*z - 4*z - g = 5. Let a(v) = -v**3 - v + 1. Let p(r) = 2*r**3 - r**2 + 3*r. Let c(m) = 3*a(m) + p(m). Is 2 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27993 + -14974. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402 < -4.1255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*-3 - (-23)\/((-276)\/(-72))) + 515. Calculate the highest common factor of 1472 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = b - 48. Is 2*10630\/52 + b\/(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -39?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)\/(1 - 0). Suppose w + 4*w - 20 = m. Suppose g = -4*s + 25, -2*g - 2*s + 0*s + 20 = 0. Put w, 2\/5, g in descending order.\nAnswer: g, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 552.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/617 greater than or equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6620844 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 671, 1133, 1489, 1733, 1859?\n\"Answer: -q**3 - 47*q**2 + 610*q + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-915)\/(-24766)*2\/5)\/(42\/(-28))\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, i: 6}. What is prob of picking 2 i?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/5 + 588\/65. Let j = -358\/5 - -72. What is the closest to j in -1\/2, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865*c - 12369 = 15370 + 2536 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 18*m**2 - 16*m + 21. Let j be k(-17). Find the second derivative of 7*x + j - 4 + 0 + 11*x**4 wrt x.\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 1:10 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:24 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2043 + 2043. Let x(g) be the second derivative of 3\/5*g**5 + 0*g**2 + l*g**3 + 0 + 7\/12*g**4 - 10*g. What is the third derivative of x(c) wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 113 = 2*d, 3*a - 6*a - 221 = -4*d. Let l = d - 37. What is the remainder when (31 - 1)*(-6)\/(-5) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2 + 97*o - 41. What is the units digit of t(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1422865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*3\/6 + 3. Let h(p) = -6*p**2 + 7 - 4*p + 0 - p**m - 3. Give h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:20 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 + -405. Is w <= 0.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 1}. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 40) + -3 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + v + v + v - 2*v + 0*v + (-2*v - 5 + 5)*(-2 + 3 + 0) - 4 - v + 4 + 1 - 1 - v + (-v + v + v)*(6 - 4 + 0) + 3865 - 45*v - 3865.\nAnswer: -49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/130*13 + 2. Let a(c) be the second derivative of c**2 - 13*c + 13\/12*c**p + 13\/48*c**4 - 1\/16*c**5 + 0. Factor a(n).\nAnswer: -(n - 4)*(n + 1)*(5*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 15. Is -1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 120085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:33 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 238a3b9 (base 13) in base 12?\nAnswer: 383461a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422*h + 2836*h - 15701 = 9847 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1796 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24195 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 0*x)*(-1 + 1 - 2*x) + (-1 + 1 + 2*x)*(90 - 109 + 195)*(-15*x + 29*x + 0*x).\nAnswer: 4926*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -605284?\nAnswer: 605284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 - 56\/3*q**4 - 89\/6*q**3 + 0*q**2 - 201*q. Find the second derivative of y(u) wrt u.\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47159?\nAnswer: 7, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 216284444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, -3\/10, -3, -5.\nAnswer: -5, -3, -3\/10, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -539d5 + -a?\nAnswer: -53a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/((-216)\/(-120)) + -1. Let q = 24.4 + -25. Which is the biggest value? (a) q (b) -4\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23863?\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -10. Let g = -5 - w. Which is the nearest to 1\/3? (a) 2 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2050643 hours?\nAnswer: 738.23148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 10*u + 2. Calculate b(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2163*f + 9 = -4313*f + 2154*f, 10 = -3*q - 5*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - 1\/9. Let o = 14.6 + -12.6. Which is the smallest value? (a) y (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (12 + 42\/14). Let v(s) = 41*s**2 + 2*s - 2. Let g(y) = 164*y**2 + 9*y - 9. Determine h*g(p) + 9*v(p).\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636130421 to the nearest integer?\nAnswer: 25222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -45. Put -2, f, -1 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -de3 (base 16) to base 10.\nAnswer: -3555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*n = -n - 16, -5*q = -7*n - 14. Which is greater: q or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0 - 9. Suppose -2*w = -w - 6. Suppose -4*k - 2*p + 14 = 0, f*k + w = 6*p - 2*p. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2076\/5 - 12461\/30. Sort g, -2.59, -1.\nAnswer: -2.59, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 20*k - 54700*k**3 - 11*k.\nAnswer: -54700*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1387751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98.5202 - -4.2138. Round n to the nearest integer.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48748909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, i: 6, r: 1, u: 3, q: 3}. Give prob of sequence ru.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 - 398 = 53*b - 171 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 10. Suppose f = 5*n + 30, -4*f - 3*n + 0 = -5. Let o(q) = -q + 10. Let v be o(7). Solve m = -f*l - v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/14, 5, 294137.2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/((-138996)\/(-2600)))\/(12\/(-9))?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4186*y - 18539*y - 24458*y + 9659*y to the form o*y + n and give o.\nAnswer: -37524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -773.9 - -770.6498. Let p = 0.0402 + b. Round p to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u + 43 + 3*u + 3*u as p + i*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 119. Let s = 189 - a. Suppose 125 = 4*h - 3*z - 20, 4*h = 5*z + s. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 3*a**4 - 3*a**3 + 2 - 9*a**3 - 4*a**3 as x + h*a**2 + c*a**3 + j*a**4 + l*a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9. Suppose -41 + 233 = 4*p. What is the common denominator of p and (-3)\/t + 793\/70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 5*h + 3. Let u(m) = m**3 - 5*m**2 - 2*m - 4. Let y be u(5). Let t be ((-4)\/5)\/(1\/(-75)). Let c be 4\/(-14) - t\/y. Give o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 132*l**4 - 34*l**2. Let g(m) = 132*m**4 - 35*m**2. Let x(p) = 5*g(p) - 4*q(p). Find the third derivative of x(d) wrt d.\nAnswer: 3168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 5, -0.02, 3\/7, 1.97, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7857*l - 8633*l + 12416 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 143731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -10. Suppose 2*f = 3*b - 6, 5*b + 4 = -f + p. Suppose 0 = b*w + q + 3*q + 14, -22 = w + 5*q. Put w, 4, 0 in decreasing order.\nAnswer: 4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 - 3*r**2 - 5*r**2)*(0*r - 3*r**2 + r**2 - r).\nAnswer: 2*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3338072 divided by 5.\nAnswer: -3338072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 16*p - 21. Let z be (5\/15)\/(6\/54). Let y(t) = 14*t - 59. Let i be y(z). Give k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -124. Let b = -39 - k. Let f = 9 - 4. Sort b, -2\/31, f in descending order.\nAnswer: f, -2\/31, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 10921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.103 and -0.762582?\nAnswer: -0.078545946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 11*m - 14*m + m - 7*m.\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016864 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**3\/l)\/((l\/l**8)\/l*l))\/(l**(2\/73)\/l**(-2\/95)) assuming l is positive.\nAnswer: l**(69014\/6935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.23 (b) -1\/3 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/105) - 4. Let d(w) = 5*w + 13 - 72 + y. Let x be d(16). What is the greatest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99038*g**4 - 5*g + 803188 wrt g.\nAnswer: 396152*g**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 3*q + 3*q)*(-2*q - 4*q + 4*q) + 3*q**3 + 0*q**3 + q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -26 (b) -2\/3 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80651 - 385*f**3 - 2*f**2 + 80628 + 5*f**2 wrt f?\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.488 rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 346167*l**2. Let h(b) = -b**2. Calculate i(h(k)).\nAnswer: 346167*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, p: 2, y: 3, a: 1, x: 5}. Give prob of sequence pxp.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281341793.\nAnswer: 7151, 39343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53\/936 - 8\/117. Let x = 1 - -1. Which is the biggest value? (a) 5 (b) k (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 0*n**2 + 3*n**3 + (-11 - 10 + 7)*(-3*n**2 + 3*n**2 - n**2)*(-3*n + 1 - 3 + 1) to the form j*n + v + t*n**3 + i*n**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6710 and 543510?\nAnswer: 543510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(-1*sqrt(100) - sqrt(100)))\/sqrt(5) + -4)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/3 - 1)\/((-12)\/9). Sort 1\/3, o, -3\/7 in increasing order.\nAnswer: o, -3\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 6*y + 3. Let w(i) = 105*i**2 - 294*i + 147. Let d(k) = 98*c(k) - 2*w(k). Let n(f) = -42*f**2. Give n(d(s)).\nAnswer: -8232*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 1007 = 10*y - 282 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46294)\/(-30) + 118\/(-885) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -1358, -1978, -2558, -3098?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 7)\/(-1) + 5 + 6*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 28*m + 51 = -3, 3*v + 6*v - m - 33 = 163 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((10\/3)\/10)\/(3\/24). Suppose 4\/3 - k*c**3 + 0*c**4 - 4\/3*c**2 + 2\/3*c**5 + 2*c = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 69. Let h = 77 - o. Let j = -8572 - -8591. What is the remainder when h is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k - 3\/2*k**2 - 11\/3*k**3 - 59. What is b(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, f: 4, j: 3}. Give prob of picking 3 j and 1 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 2:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/6 - 9)*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 237870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64559 and -0.2118.\nAnswer: -13673.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 358632.9 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4772400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 753, 743, 721, 681, 617, 523, 393, 221?\n\"Answer: -i**3 - 3*i + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151159?\nAnswer: 1151159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -724, -398, 482, 2192, 5008?\n\"Answer: 46*w**3 + w**2 + w - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -n - 13, 5*n - 7 = 3*w - 28. Let q(j) = -310*j + j**w + 308*j - 3 + j**3 + 1. Give q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 4. Is (-1 - 0)*(i - 14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 234374 or 234376?\nAnswer: 234376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 7) in base 16?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1651 + 2787. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 9 - 46*o + 5)*(12 + 10 - 3) + 3*o - 4*o - 10*o.\nAnswer: -885*o - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -555, -559, -563, -567?\n\"Answer: -4*o - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:54 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:37 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177516 - -60?\nAnswer: 177576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)\/(u\/((u\/(u\/(u**(-10)\/u)))\/u*u))*u**(-11)*u**(3\/7) assuming u is positive.\nAnswer: u**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*n + 3 + 4 = 0, 5*n - 20 = 0. Suppose -19*c + 354 - 278 = 0. What are the prime factors of -1 + c*(-3)\/o + 139?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:53 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.09. Let m = -0.21 - 1.85. Let v = d - m. Which is the third smallest value? (a) -3 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3564 = -3*q, 4*p = 2*p. Is -1*(q\/(-4) + 5 + -8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = h + 6, 12 = -4*x - 5*h. Find the second derivative of w**2 - w - 3 + 3 - 3*w**x wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16417 <= -16417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*d**4\/4 - d**3\/4 - 21*d**2\/4 + d\/4.\nAnswer: d*(d - 1)*(d + 1)*(21*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-24)\/44)*13\/39.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2 + 2*v. Let m(d) = -14*d**4 + 166*d**3 + 342*d**2 + 100*d - 56. Let r(o) = m(o) - 6*z(o). Solve r(n) = 0.\nAnswer: -1, 2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -36\/7, -4\/5, 100, 2\/21, 2\/11?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -40. Suppose -5*f = 31*f + 11196. Let i = f - -347. Solve -p = -5*z - g, 4*z = -2*p + 12 - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31610 (base 8) to base 12\nAnswer: -7774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 2*o. Let z be d(2). What is the first derivative of 7 + 5 - 9 - z*x + 11 wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62459672531*o + 62459672531*o + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 7. Let g be a(3). Let z be (-6*6)\/(3\/g). Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 52 - 21*w - 28 - 23.\nAnswer: -21*w - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 186, 322, 498, 720?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14644574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230354 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**2\/2 + w + 7146. Let a(f) = 9*f - 7. Determine a(m) + 4*h(m).\nAnswer: 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 - 830750*x**3 - 79797605*x**2 - 78966850*x = 0. Calculate x.\nAnswer: -95, -1, 0, 166246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -0.38. Let s = 53.82 - 0.02. Let y = s - 54. Which is the nearest to 2\/5? (a) h (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2. Let z(g) = 17*g**3 - g**2. Let i be z(1). Let p(w) = -i*w + 22*w - 9*w. Determine u(p(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*10\/(-15)*(-2)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(13) + -5)*5 + -2 + (sqrt(637)*1 + 4)**2.\nAnswer: 66*sqrt(13) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**4 + 2*b**2 + 93.\nAnswer: 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1102?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35700 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + -0.2. Let m = 1.4 + n. What is the smallest value in -3\/5, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -127\nAnswer: 69\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245315 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -37*m + 15*m + 21*m - 6. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 3*h - 11. Let s be b(5). Let k = s + 78. Let r be k*((-15)\/4)\/5*-2. Calculate the greatest common divisor of r and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3064 + -2998.32. Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 68. Let g be -2*t*19\/(-2). Let f be 14\/2*g\/133. Solve 0 = -3*s + f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 8\/3, 119\/6, -1, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-231)\/126)\/((-4)\/(-6))*-4. Let z(q) = 5*q + 17. Let u(o) = 2*o + 6. What is k*u(x) - 4*z(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, s: 1, k: 2}. What is prob of picking 2 c and 1 k?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 612. Let l = g + -26. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387 a factor of 151212676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23133 (base 7) to base 6.\nAnswer: 43200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 20 + 8. Let s be (14\/(-6) - -2) + 140\/(-21). Sort s, q, 2, 5 in decreasing order.\nAnswer: 5, 2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2 + 1. Calculate k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1036.6 and 0.0573.\nAnswer: 1036.6573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 19 = 124 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7110*q**2 + 23591*q**2 + 55295*q**2.\nAnswer: 85996*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110212 - 100211011?\nAnswer: -110022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 6 + 6)*(-1 - 1 - 3*c + 8*c).\nAnswer: 10*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 24*f**3 + f**2 + f + 1. Let i be x(-1). Let b = 25 + i. Suppose -2*a - b = 4. Sort 0, 1, a.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9625256.2 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24.21, 0.0097, -1.\nAnswer: -24.21, -4, -1, 0.0097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18696 = 18698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1554960 and 627?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 606 = 264. Solve 7*v + p = 57 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(0 + 17) + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5371, -15375, -32047, -55393, -85419, -122131, -165535?\nAnswer: -215637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397083221*s**2*x**3 + 2*s**2*x**2 - 5*s**2 + 69*s*x**2 + 132204 wrt x?\nAnswer: 2382499326*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (264\/(-20) + 14)\/(1\/190). Let l be ((-6)\/4)\/((-2)\/(-12)). Let w = l + 28. What is the highest common factor of m and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:25 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*t - 81, -3*t + 180 = 5*m + t. Let u = 81 - m. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-28) + 0 + (-6 - -6).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318871 less than or equal to 6318871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**4 + b + 1. Let c(l) = -9*l**4 + 39*l**3 - 105*l**2 - 141*l + 6. Let t(v) = c(v) - 6*j(v). Factor t(u).\nAnswer: -3*u*(u - 7)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49\/2 - 437\/18. What is the biggest value in -2, y, -4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-40))\/((-24)\/300)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5\/2)*(h**(-3)\/h)\/h*h*h)\/(h**0)**(3\/29) assuming h is positive.\nAnswer: h**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.187 minus -949094825?\nAnswer: 949094824.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14353\/35 + 2879\/5. Let w = 166 - f. Let o = 6 + -5.7. Is w > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7436 and 351?\nAnswer: 200772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-3037817.\nAnswer: 303781.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004748 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 7491*r - r**2 - 7491*r)*(-r**3 - r**3 + 5*r**3).\nAnswer: -3*r**5 + 150*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**4 + 759495*j**3 - 27807123*j**2.\nAnswer: -216*j + 4556970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (67 + -39 + 30)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8999 + 27162 = -443*q for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2765254.2 - -6638.8. Let z = s - 2771895.500022. Let x = z - -2.5. What is x rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p**2 + 641*p + 8030 = 0. Calculate p.\nAnswer: -55, -146\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7940\/7183?\nAnswer: 7940\/7183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 12*k + 3. Let g = -13696 - -13694. Let j(y) = -2*y**2 - 24*y - 7. Determine g*j(o) - 5*t(o).\nAnswer: -o**2 - 12*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.359 and -16.9.\nAnswer: 6.0671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 280928, 561847, 842766?\n\"Answer: 280919*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, 5, -13, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6130867 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 7. Let m be p(-5). Suppose 5*b = -4*o - 27, 0 = -7*o + 4*o - 3*b - m. Do -3 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 164*a - 11338150 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/4 - -9 - 4. Suppose -x + p*x = -2*o + 8, 4*x - 18 = -3*o. Let d be (4\/x)\/((-2)\/(-75)). What is the highest common divisor of d and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 x when four letters picked without replacement from baxbhxbbbhxxh.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v**3\/3 + 46768*v**2 - 357280*v\/3.\nAnswer: 2*v*(v + 6380)*(11*v - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 750 + -754. Let u = 0 + -0.1. What is the third biggest value in u, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -26, 0 in descending order.\nAnswer: 4, 0, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8633.532 micrometers?\nAnswer: 0.000008633532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -27?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 12. Let x = -40 + 21. Let n = -18 - x. Sort n, 0, c in ascending order.\nAnswer: c, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -4*q**3\/3 + 6*q**2 - 8*q - 3. Factor j(y).\nAnswer: -4*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*s = -153 - 555 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177471 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 290438867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 + 5*r**4\/24 - 5*r**3\/6 - 18*r**2. Let s(d) = -2*d**2 + 6*d - 6. Give 5*s(z) - 6*w(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (-116 - -62) + 1 + -2 - -14?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -19*o**2 + 27*o - 3. Let t(j) = 29*j**2 - 40*j + 4. Let i(z) = -z**2 + 2*z + 3. Let k be i(-2). Let m(r) = k*t(r) - 8*x(r). Solve m(f) = 0 for f.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -107*w + 2709. Calculate p(24).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13640, -19324, -25002, -30674?\nAnswer: -36340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5412, 5458, 5502, 5544?\n\"Answer: -k**2 + 49*k + 5364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -2\/5 (b) 5\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from {u: 7, b: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Suppose -n - 1 = -2*a. Suppose x + a - 6 = 0. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-10)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxxg when four letters picked without replacement from gxmxxxgxgxgxg.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -714.21 - 2790731.\nAnswer: -2791445.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181025042?\nAnswer: 2, 11, 23, 347, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 109*q + 13. Let x(z) = -54*z - 8. Calculate 3*i(s) + 5*x(s).\nAnswer: 57*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 299621 or -5\/126?\nAnswer: -5\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 48 + 8. Suppose -3*x + 15 = 3*t - 0, 0 = -5*x - c. Let k(m) be the first derivative of m**4\/4 - 8*m**3\/3 - 5*m**2 + 13*m + 273. What is k(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 105. Suppose 0 = -5*x - 5*x - 350. Let b be n(x). Solve b = -4*k - 0 + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 77132*v**2 - 77128*v**2 + 12.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 31 = -2*a, -3*h = -2*h - 4*a + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.13. Which is the closest to 1\/2? (a) 4 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 62*m. Let y(u) = -286*u**2 - 6*u - 1. Calculate y(o(k)).\nAnswer: -1099384*k**2 - 372*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - 0.31. Let n = 4.85 - j. Which is the nearest to -4? (a) n (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57245 * 0.3.\nAnswer: -0.171735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n = 0. Suppose -k = -3*k, n = -r - k. Which is the closest to 2\/9? (a) -5 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 14*t + 46. Give b(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 - 2*d - 2. Let j(q) = 2*q**3 - 3*q**2 - 6*q - 74. What is j(b) - 3*w(b)?\nAnswer: -b**3 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 21. Let r be -7 - -6 - (-2 + z\/(-2)). Solve 4*x = -r + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 + 229*o**2 + 38*o + 7. Give k(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6330*p + 82280. What is c(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -3bb?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1296, -5452, -12472, -22356, -35104, -50716?\n\"Answer: -1432*h**2 + 140*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 43*o + 525 = -393 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439.09 - -145.61. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-1332)\/(-30))\/(-3))\/(1 - -1). Let u = -78 - -80. Is u equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567122447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(sqrt(126)\/sqrt(2) + -1 + sqrt(7) + sqrt(7) + -1).\nAnswer: -90*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1000118 to three dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-15) + 4656\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 4*u + 2. Let p be y(-5). Let c = p - -6. Let k be 2*c*1\/6. Is 1 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + (-25 - 21) + 29?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let j = -479 + 443. Is ((j - 5) + 2)*(1 + m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1946350 and 23\/18684960.\nAnswer: 93424800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:41 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 - 5*a - 1. Suppose 2 = -5*c + 4*c. List the prime factors of m(c).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 544 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 21*u - 35*u - 4 = -166, d - 3*u = -85 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 + 4*o**2 + 3*o - 1. Let d be q(-8). Suppose d*m = 6*m + 3. Put 4, m, -3 in ascending order.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*b**2*w**2 + 108*b**2 - 555*b*w**3 - 3*b*w - 44*w wrt w?\nAnswer: -420*b**2 - 3330*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 221?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 14 - 11) + -16.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000059435436 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-68)*((-16)\/(-8))\/(-90))\/((-7)\/(-8))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3 - 203*z**2 + 4 + 202*z**2. Let h(t) = -2*t**3 + 4*t**2 + 3*t - 1. Calculate -h(n) - 4*y(n).\nAnswer: 2*n**3 - 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -641, 0.4, -1044, 2\/3, -17, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:54 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1009, -1185, -1363, -1543, -1725, -1909?\n\"Answer: -p**2 - 173*p - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from ezzccuzeueeczczjucez?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 92*n**3 + 3*n**2 + 87*n**3 + 90*n**3 - 277*n**3 + 3 - 3*n. Let h(f) = 209*f**3 - 77*f**2 + 77*f - 77. Give 6*h(l) + 154*w(l).\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3913310 and 3913310?\nAnswer: 3913310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*r - 46. Let t = -101 - -99. Let n be (-52)\/18 + 6 + t\/18. Put -1, r, n in decreasing order.\nAnswer: n, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s - 3. Let n(k) = -k. Let a(x) = n(x) - o(x). Suppose 9 - 2 = m + 2*f, 3 = 3*f. Is a(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 41*d**3 - 9*d - 9. Let y(l) be the third derivative of l**6\/12 - l**4\/12 - l**3\/3 - 297*l**2 - l + 2. Let v = -4 - -2. Calculate v*t(k) + 9*y(k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (1 - 3) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*y**3 - 67009*k**2 + 3041*k*y + y**3 wrt y?\nAnswer: -6*k**2*y**2 + 3041*k + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 + 15*w. Let t(z) be the third derivative of -z**4\/24 + 2*z**2. Give t(d(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2035102277?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766957402 divided by 461.\nAnswer: -1663682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**3 + 2*x**2 + 2*x + 1. Let v be m(-1). Suppose -i + 42 = v. Find the common denominator of i\/14*(1 - -1) and -36\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g - 368 = -22*v + 18*v, 5*v - 41 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8979369 and 101\/28?\nAnswer: 35917476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86.3399 microseconds?\nAnswer: 86339.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198468102*s**2 - 1514220*s - 25 wrt s.\nAnswer: 396936204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -89*h - 4. Let f(k) = -156*k - 7. Let t(j) = 4*f(j) - 7*u(j). Let a(i) = -2*i - 4*i - 4*i. Give t(a(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 10*k - 8. Let d be q(5). Suppose 0 = d*b - 16*b. Suppose -5*n = -2*j + 19, b = -j + n - 2 + 7. Solve -f - 8 = j*u, -4*u = -2*f - u + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 17 = p. Let g = p + -17. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 - -5. Let k = -25.538 - -25.438. Put k, m, -1 in increasing order.\nAnswer: -1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujh when three letters picked without replacement from upussaspajapahh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + 5*j + 4. Let r be d(-4). Suppose 2*z + 5*o = -9 - 3, -r*o = z + 11. Which is smaller: 2\/57 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25057, 25047, 25031, 25003, 24957?\nAnswer: 24887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5285835 and 186345.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (75\/(-9))\/(68\/24 + -3). Let n be (1 - 1) + g\/175. Suppose 7 - 6 = o. What is the third biggest value in n, o, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1248\/663 - (-4)\/34. Solve -21 = 4*i + v, 2*i + 0*i = d*v + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 55436034 - 45486. Suppose -9030080 = -13*x - u. Round x to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.2, 0.01, -4.\nAnswer: -11, -4, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 8*g**2 + 3*g**2)*(-g**2 + g**2 + g**3) + 2 + 7 - 7 - 191*g - g**5.\nAnswer: -3*g**5 - 191*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = j + j + 2, -4*j - 16 = 2*z. What is the closest to -3\/104 in z, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 20. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21)*(-58)\/(-812))\/(-18 - (12 - 31))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0 - 2*w + 0. Let z(p) be the first derivative of 14*p**3\/3 + 783. Calculate h(z(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 56 (b) 1.8 (c) -0.2 (d) -0.5 (e) -5 (f) 0 (g) 0.0683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.45 + 39. Let o = z + 0.85. Which is the third smallest value? (a) -0.04 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(11813 - 11813 - 101*h**3).\nAnswer: -303*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006206739032 to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5934 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -759 + 875. Calculate the remainder when v is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -230243 and -230241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -2 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.5, -2\/549, -168?\nAnswer: -2\/549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 806529 and -0.19.\nAnswer: -153240.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.5 + -23.6. Which is the smallest value? (a) -4 (b) -2 (c) 10 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 + v**2 + 4*v + 3. Let z be f(3). Let r = 227\/4 + z. Which is the third smallest value? (a) -2\/3 (b) -2\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)**(29\/4)\/(g**(-2\/5)*g**24))**(-2\/5) assuming g is positive.\nAnswer: g**(91\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 795954763666175+-0.1\nAnswer: 795954763666174.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1393 + -15365\/11. Let s = 1163\/24 - 309\/8. Calculate the common denominator of b and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1253101 - -153?\nAnswer: -1252504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.185 + 0.085. Let h = 1.1 + u. Let f = -0.4027 - -0.0027. Which is the nearest to f? (a) 4 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 53 = 4*z, -142*z + 145*z = 4*g - 46. Let l(t) = t + 14. Determine l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 + 2 = -b, -4 = 4*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2 - 0. Let m(f) = 3*f**3 + 4*f**2. Let j(i) be the third derivative of i**6\/120 + i**5\/60 + i**4\/24 - i**2. Give a*j(w) + m(w).\nAnswer: w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1508 = 8*z - 2132. Does 17 divide z\/21 + (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0 + 2. Suppose -64 = -w*h + 2*p, -4*p + 94 = 3*h + 12. What is the remainder when 57 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 8. Let y be (-26)\/(-7) - (-4)\/14. Suppose 0 = -3*x - 4*k - 1 + 19, -y*x - 2*k + 14 = 0. What is the greatest common factor of x and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17464 + 18104 = -4*o. Suppose 0 = d + 8302 - 21494. Let s = d + o. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -302 - -5?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -38. Let s(f) = f + 7. Give s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*i + 152*i - 314*i)*(-2 + 2 + i) + (-8*i + i + 2*i)*(1 + 1 + 1)*(4 - 1 - 4 - i).\nAnswer: 2*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 898.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*k - 2*q, 4*q = 2*q - 10. Let o(u) = -3*u - 19. Let v be o(-13). Suppose -4*r - v = -k. Sort 1\/2, r, 5.\nAnswer: r, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4))\/((-112)\/(-4928))*2\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -124*z**7\/105 - 115*z**3\/6 - 184*z**2. What is the first derivative of j(h) wrt h?\nAnswer: -992*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, r: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2 + 138*v - 4. Calculate p(11).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -3870831\nAnswer: 309666.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1367 - -0.5.\nAnswer: 1367.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - y = y, 2*l + 5*y + 24 = 0. Let t be (3 - (-1 - l))*1. Let u be (-8)\/8 - (-1 - t). Solve -3*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895 a factor of 33871286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 12. Solve -4*q - 2*n + 10 = 3*n, 3*n = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/975 and -29\/2348450.\nAnswer: 7045350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.195 (b) -2 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 2*b**3 + 24*b**2 - 56*b + 32 = 0. Calculate b.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.780883nm to millimeters.\nAnswer: 0.000005780883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 4*t - 10, -t + 14 = 2*g. Solve z = -z + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360 and 100867460?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1888*q**4 - q**2 - 9129 wrt q?\nAnswer: 7552*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 - 986 = l. Let a(k) = 7*k**2 - 16*k + 14. Let m(u) = 13*u**2 - 32*u + 27. Let p(b) = 11*a(b) - 6*m(b). Does 14 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/15 and 29\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 23*d**4\/24 - d**3\/2 - 3*d**2 - 5*d. Let r(b) = 68*b - 10. Calculate 10*h(o) - 3*r(o).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 3) + -9 - (-1 + -8)) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/2)*g)\/g)\/g*g*g\/(g\/g**(-1))*g)\/(((g\/(g**(2\/5)\/g))\/g)\/g**(2\/3)) assuming g is positive.\nAnswer: g**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:28 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 243620*y**2 - 60648*y**2 - 48.\nAnswer: -304268*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/55 - -3 - (-2)\/(-11).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**4 - 7058*i**3 - 1764*i**2.\nAnswer: -2*i**2*(i + 882)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809036 is divided by 2404502.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 14. Let i(d) = 7*d**2 - 5*d + 7. Let y(o) = -4*o**2 + 2*o - 3. Let u(r) = 3*i(r) + 5*y(r). Let b be u(4). Put p, 5, b in decreasing order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -533 - -539.97. Let r = 7 - y. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(6\/(-63)). Let h(z) = -k + 3*z + 2 - z. Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + 101564053?\nAnswer: 101564114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.86003 kilometers in micrometers?\nAnswer: 83860030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/12*1779)\/((-66)\/(-48)). Suppose 0*c - 3*u + 963 = 3*c, 657 = 2*c - 3*u. Let n = c + i. Calculate the common denominator of -39\/11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b**10*b)**(-17\/5) assuming b is positive.\nAnswer: b**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -4*d + 2*i, 4*d = -4*i + 5*i + 695. Suppose -3*m + d = g, -3*g - 100 - 35 = -2*m. Calculate the remainder when 418 is divided by m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 70 + 200. Let g(q) = q + 11. Let s(b) = -3*b - 23. Let i(a) = 5*g(a) + 2*s(a). Let t be i(3). Calculate the highest common factor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 573, -4, -54 in descending order.\nAnswer: 573, 49, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -45 + 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 102?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q. Let s(x) = x**3 - 2*x**2 - 2*x + 9. Let d(k) = k**3 - k**2 - k + 8. Let z(t) = -7*d(t) + 6*s(t). Let v(b) = 6*w(b) + z(b). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883217 is divided by 40889.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 8*o + 5*o. Let c(d) = -3*d**2. Give w(c(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -430145940.282.\nAnswer: -430145940.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -26001 (b) -0.5 (c) -3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8692 is divided by 790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6 + 10*n - 230*n**2 + 0*n + 331*n**2. Let b be m(6). Suppose k - b = 7*k. Round k to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a*s**3 + a*s - 2*a - 13*s**4 - 4 wrt s?\nAnswer: 36*a*s - 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - (-13 - -12 - (2 - (-1 + 12)) - 0).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 41190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0199634 to four dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 17. Let u(n) = n - 1. Suppose 4*q - 16 = 4*g - 2*g, -5*q + 4*g = -26. Let i be u(q). Which is the closest to w? (a) -4\/5 (b) i (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 54021\/6328 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -6780*j**5 + 41105*j**4 + 160170*j**3 + 166080*j**2 + 49970*j - 3825 = 0. What is j?\nAnswer: -1, 85\/1356, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + -5*(2*sqrt(10) + sqrt(10)))\/(-1*sqrt(720) - sqrt(720)).\nAnswer: 7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 84\/13, 0.3, 1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:29 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4, -1, -3, 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((6\/(-4))\/(336\/(-280)*-50))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 5*k + 75, -4*o - 5*k - 24 = 0. Let f(h) = 2*h**3 + 22*h**2 - 4*h - 3. Is f(o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 4. Let v be s(-7). Suppose -28 = -v*p + 10*p. Is 4*p\/(48\/(-477)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 32, 131, 322, 635?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*a = 4, 5*i - 13 = -4*a + 18. Suppose 0 = -0*p + i*p - 12, -52 = -4*z - 2*p. Calculate the remainder when z is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 + 2 = 3*i, 4*i = -3*m + 21. Solve -2*u - i*d - 7 = -2*d, 0 = -4*u - d - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:23 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 732.86 + -1022.826. Let u = o + 290. What is u rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let b(c) = -4*c**2 + 4*c - 3. Let z be b(4). Let s = 56 + z. Solve s*d - d + 8 = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.04, -3\/8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/13377 and -151\/2058.\nAnswer: 26754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280519, 561037, 841555?\nAnswer: 1122073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4413 is divided by 1272.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**5*k*k)*k)\/(k**(-2\/19)*k))\/(k**19*k*k*k*k\/k**(-13)) assuming k is positive.\nAnswer: k**(-815\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 97, 133, 173, 217, 265?\n\"Answer: 2*x**2 + 26*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*y + 4, 7814*x + 5*y = 7823*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85759 is divided by 6521.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -21. Let q = -6 - a. What is the nearest to q in -0.02, 2\/7, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 26 = 4*y, y = -0*y + x - 1. Find the second derivative of 0*n - 5*n**4 + 3*n**4 - 3*n + y*n**4 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/12)\/(1\/((-30)\/4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*k**5\/2 - 1935*k**4\/2 - 32755*k**3\/2 - 106965*k**2\/2 + 16390*k + 54450 = 0. Calculate k.\nAnswer: -55, -18, -22\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 3*g + 6. Suppose -50 = 12*c - 2*c. Determine p(c).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(7200)*-2 - sqrt(7200) - sqrt(7200)) + 4 - 3*-1*sqrt(7200)) + -3)**2.\nAnswer: -120*sqrt(2) + 7202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*m + 4*m - 22, u - 16 = 2*m. Let s = 8 - u. Let i(q) = -q + 2. Let h be i(s). Solve h = 5*o - 24 + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689*n**4 + 4*n**3 - 50*n**2 + n + 3.\nAnswer: 16536*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15281 + -137527\/9. What is the closest to 4\/7 in -0.2, -69, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -7780404?\nAnswer: 311216.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -17 + 7. Let r(o) = -3*o - 2*o**2 + s*o**3 + 2 - 3*o**3 + 12*o**2. Let t be r(9). What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053888 divided by -8?\nAnswer: -131736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20821829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/16771 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/129 and 83\/14502.\nAnswer: 623586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37580\/7757 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w. Let j(z) = -10*z**2. Let y(h) = -7*h**2. Let v(a) = 5*j(a) - 7*y(a). Calculate c(v(b)).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 796955 divided by 199\nAnswer: 796955\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 5*v - 416 = -261, -4*u + 2*v - 70 = 0 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let j(f) = 2*f**2 + 3*f - 3. Let l(r) = j(r) - 3*w(r). Let z(n) = 0*n - 2*n + n. What is l(z(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = g. Suppose -g*y = 2*p + 46, y + 0*y + 11 = -p. Let t = y + 21. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {s: 5, l: 3, n: 2, i: 5, r: 3}?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 18*w - 19. Suppose 17*x + 640 = 351. Give v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s**3 + 2*s**2 - 1. Calculate o(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 2 (c) 99\/469\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 578*l - 2218. Does 36 divide v(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*d = 2*w + 8, 3*w + 4*d + 7 = 0. Let h = -70.2 + 81.2. Which is the closest to w? (a) 1 (b) h (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**2 + 18*z - 57*z + 373*z**3 - 3 + 0 - 5*z**2 + 276*z**3 wrt z?\nAnswer: 3894*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {e: 2, t: 11, k: 6}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {u: 1, x: 3, n: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/2122 (c) -10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 1366816 = -4*u, 341694 = 2*z - 13*u + 17*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 588\/126 + 3\/45*5. Solve -h = c*t + 9, -2*t - 2*h - 10 = -0*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-6)*-13*(-136)\/15470.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -2. What is the lowest common multiple of (-95)\/(-35) + (-2)\/(-7) and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 2 + 7)*(-k - 7*k + 3*k) as w*k + d and give w.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + 102. Let z = s + -150.3. Let h = 5 - 7. Which is the third smallest value? (a) -3\/5 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.88595 rounded to zero decimal places?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:14 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/24 + 2*x**3 + 3*x**2 + 52*x. Let r(s) be the first derivative of l(s). Find the first derivative of r(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1755087\/5 + -349851. Factor 13122\/5 + d*z + 2\/5*z**4 + 72\/5*z**3 + 972\/5*z**2.\nAnswer: 2*(z + 9)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + (20 - 8))\/((-11)\/11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**6\/15 - 4*m**5\/5 - 11*m**4\/3 - 4*m**3 + 298*m + 71. Let t(f) be the first derivative of j(f). Factor t(o).\nAnswer: 4*o*(o - 6)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3277 - -3273. Let z(b) = -6*b - 18. Determine z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8145.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*j**4 + 35*j**3 - 6*j**2 - 3603*j - 15?\nAnswer: 396*j**2 + 210*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxlxxglgll. What is prob of sequence gl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 365328775 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000451298 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1095 + 1782*x - 190 + 3446*x - 476*x wrt x?\nAnswer: 4752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -19*r + 99 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(-1\/5)*l*l))\/l**22 assuming l is positive.\nAnswer: l**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/17 in -0.2, -12, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14142482327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 1585. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 2. Let x(d) = d. Let s(w) = -g(w) - 4*x(w). Let q(a) = -a - 1. Let t(z) = -7*q(z) + 6*s(z). Let n = 7 + -3. Calculate t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -333504*a**2 - 2316*a - 579. Let f(i) = -1154*i**2 - 8*i - 2. Calculate 579*f(m) - 2*q(m).\nAnswer: -1158*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10*r**4 + 95*r**3 + 195*r**2 - 175*r - 125 = 0.\nAnswer: -5, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 125242567 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6e (base 15) to base 12\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4372, 4372, 4356, 4318, 4252, 4152, 4012?\n\"Answer: -c**3 - 2*c**2 + 13*c + 4362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 - 4*v**3\/3 - v**2 + 8*v + 28. Let z be a(4). Suppose z*p = -6*p + 780. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6289192935 to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142035 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 + 7. Determine s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*a**3 - 6*a**2*q**2 - 1193*a*q**2 wrt a.\nAnswer: 270*a - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*q + 383 wrt q.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22332100 divided by -127612.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30398 * 0.12.\nAnswer: 3647.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4\/3 (b) -102 (c) -2\/11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 5*z + 21. Let f(i) = 8*i**2 + 17*i - 62. Let s(k) = -11*b(k) - 4*f(k). Let h be 8 + (-20 + 0)\/(-5). Calculate s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*x**6 - 57*x**4 + 9*x**3 - 2*x**2 - 5894*x.\nAnswer: 1080*x**3 - 1368*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(27)\/(sqrt(9) + sqrt(36)\/sqrt(4))) - ((-2*sqrt(15)\/sqrt(5))**2 - -1*sqrt(75)).\nAnswer: -22 - 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {o: 1, x: 1, r: 1, n: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 11) in base 2?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 55 - (-3 - -6) - -2. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -22*z + 12. Suppose 6 = s - z*j, -3*s + 0*j + 2*j + 32 = 0. Let r be 1 - -1*2 - 0. Solve r*b + s - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)*p)\/p*p\/((p*p*p**(3\/4)*p)\/p))**8 assuming p is positive.\nAnswer: p**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 18*r**2 + 22*r + 77. Let c be p(-19). Suppose -31*q + 35*q = c. Solve 0 = -2*u + 3*j - q, 3*u - 1 = -2*j - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206739 and 1728.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13922*n**2 - 11*n**3 - 81*n**3 - 13924*n**2 to o*n**2 + b*n**3 + j*n + w and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.019, 2\/13, 0.1, 1\/2, -1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7986610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*f = 985*f + 2739 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 326.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + -4 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.5 - -49.53. Let c = -0.17 - j. What is the third smallest value in c, -3.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -123*g - 2. Let n(m) = 690*m + 16. Calculate n(v) + 4*u(v).\nAnswer: 198*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -33.5308.\nAnswer: 16.7654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/1)\/5)\/(4\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193*c**2*k + 6*c**2 - c*k - 26*c + 3*k + 3 wrt c.\nAnswer: 386*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + 100211012?\nAnswer: 100212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**16)**(5\/4) assuming s is positive.\nAnswer: s**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (-1 - ((-16 - -6) + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329120 and 9680?\nAnswer: 329120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = h - 0*h - 4*q, 5*h - 4 = 2*q. Solve 16 = -h*w - 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from idivdgddd.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3032531*z**2 + 651*z + 17978 wrt z?\nAnswer: -6065062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936272 is divided by 645270?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269.59 decades in millennia?\nAnswer: 42.6959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 9*o**2 + o - 8. Calculate q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g + 330 = 0. Suppose -3*s + 7 - 205 = l, s + 2*l = -g. Let b = s + 94. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 16.15 (b) -3 (c) 4 (d) -7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 = 290*a - 1266 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33348*q**3 + 3*q**2 - 106*q + 2 wrt q?\nAnswer: 200088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3630 - -6348. Suppose -4*g + 6*g - u = -d, 3*g - 4103 = 5*d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/105 - 19*v**6\/120 + v**5\/60 + 7*v**4\/3 + 188*v**2. What is the third derivative of k(d) wrt d?\nAnswer: 48*d - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16491, 33046, 49731, 66612, 83755?\n\"Answer: 11*u**3 - u**2 + 16481*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4394*c**2 - 118*c + 677. Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:23 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.111 times 0.1674?\nAnswer: -16.0889814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**4\/4 - 474*y**3 + 1419*y**2\/2 - 628. Determine x so that a(x) = 0.\nAnswer: 0, 1, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2705*c**3. Let d(u) = -2*u**3. Determine 1623*d(l) + k(l).\nAnswer: -541*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 137285302.\nAnswer: -137285299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 46. Let k be s(7). Solve -k*c + 7 = 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**3\/3 - 5*m**2\/2 - 17*m. Determine x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(99))**2 + -1 - (sqrt(99) + -4 + sqrt(99) + sqrt(99) + -2))*-6*-3.\nAnswer: -11340 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a. Suppose -10*d + 6*d = -32. Let r be (4 - d)\/2*(-5)\/2. Solve -x + r*x = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -500375177*r*z + 5*r - 1966524 wrt z?\nAnswer: -500375177*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2023 = 2*l - 9*l. Let m = 289 - l. Sort 1, m, 4, -27.\nAnswer: -27, m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.4 - 33.9. Which is the nearest to -9? (a) -2\/3 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.2. Let u = -0.05 + -1.95. Let m = u - -2.2. Which is the second smallest value? (a) 0 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*m = -5, m - 25 = 4*v - 68. Suppose 80 = -v*a + 30. Is -12 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 14*f + 168. Calculate the greatest common factor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 72 - 52. What is the third biggest value in 2, -5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 5:54 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -308686 + 62?\nAnswer: -308624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 628 and 628.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rder when four letters picked without replacement from pdrwepr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 11*r**2 - 12*r + 25. Let o be i(12). What is the closest to -2 in o, 0.2, 27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*j - 287 + 2385 + 1520 = 212 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6935 - -24664. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*l + 2\/5*l**3 - 18\/5 + 18\/5*l**2 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, m: 1, i: 2, b: 4}. What is prob of sequence bbjm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 321*b - 22 - 160*b + 22 - 170*b - 1276*b**2 in the form l*b + s*b**2 + y and give s.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331990426?\nAnswer: 2, 61, 1193, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6) - 178\/(-4). Let p = -22 + m. List the prime factors of ((-27)\/(-4))\/(9\/p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.91153 litres in millilitres?\nAnswer: 11911.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 18*o**2 + 32*o**2 - 1 - 10*o**2. What is the units digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/14 - 6\/21. What is the remainder when 13 is divided by (1\/j)\/((-2)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67.501 times -1824\nAnswer: -123121.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 2*p**2 + 2717*p**4 - 2719*p**4 + 3*p**3 - 33 as s*p**3 + i*p**4 + c*p**2 + g + t*p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ee + 41d?\nAnswer: 31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8834 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96424219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28668 in 2\/3, 1, -0.4, 1\/3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -11, 5, -3 in decreasing order.\nAnswer: 5, -2, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 - 20*y**4 + 30*y**3 - 20*y**2 + 5*y.\nAnswer: 5*y*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 68*f = -15*f - 2772. Calculate the remainder when 1105 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*o**2 - 80*o**2 - 78*o**2 - 84*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 14. Let z be o(-6). Let u = z - -25. Suppose -u*k + k = -326. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/27029529 or 0?\nAnswer: -37\/27029529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1925\/242 + (-20)\/(-440)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/918*-24*10\/4. Factor a*f - 8\/17 - 2\/17*f**2.\nAnswer: -2*(f - 4)*(f - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39618.98 days in milliseconds?\nAnswer: 3423079872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmndddmgmdndgp. What is prob of picking 1 m, 1 n, and 2 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let r(p) = -354794*p. Determine r(t(c)).\nAnswer: 709588*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127 in -1\/6, -1\/2, 0.5, 0.2254?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 4, 3\/8, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120 * -0.08\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/(-6)*(-684)\/7. Suppose -17*h + 21*h = x. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -l, i + 2 = -4*l + 12. Suppose -10 = -2*u - l. Sort 5, 1, u.\nAnswer: 1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 29. Let l be q*((-21)\/(-15) + -2). Suppose 0 = 4*u + 2*f - l, 5*u = 3*u + 5*f + 15. Put u, 1, -3 in descending order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*o**2*w - 213180764*o**2 + 3239*o*w**2 + w**4 wrt w?\nAnswer: -31*o**2 + 6478*o*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g - 1. Let l(d) = -9*d**2 + 11*d - 11. Let p = 1334 - 1332. Calculate p*l(c) - 22*u(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*((3 - 3 + 2*b)*(4 - 4 - b) + 985*b**2 + 7612 - 7612).\nAnswer: 1966*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfeffffem. Give prob of picking 2 f and 2 e.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1408\/720 + (-2 - 0). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 16099*j**3 + 10*j**2 + j - 10. Let h = 26 + -2. Let p be (h\/30)\/(2\/25). Let d be w(p). Round d to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 - 3*x - 4. Let o(c) = -32*c**2 + 10*c + 12. Let d(w) = 10*f(w) + 3*o(w). Let r(h) = -9*h**2 + h + 8. Give 5*d(s) + 2*r(s).\nAnswer: 2*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55609122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261\/20 + 249\/20. What is the closest to -6 in 2, 9, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c + 11*c = -4488 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15528 is divided by 98.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 - 0) + 6 + -9. Let k be 2\/6 + s\/6. Which is the smallest value? (a) -4 (b) 3\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 448 - 3585\/8. Which is the closest to 0.4? (a) 0.5 (b) 4 (c) -6 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/78 and 77\/20?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose 3*k - 11 = 2*a, 0 = -m*k + 2*a - 0 + 21. Suppose 0 = 4*g - 7*g - 15. Sort 1, k, g in descending order.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k\/((k*k**15)\/k))\/k*k)*k)\/k)\/k)\/(k*k**(-1\/14)*k)*k\/k**(-21)*k\/(k**12*k) assuming k is positive.\nAnswer: k**(295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 39. Let t = f + 13. Let v(m) = 2*m - 3*m + 2*m**2 - m**t - 1 - 2. Determine v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -72, 1\/2, -4.1, 3\/2, 5, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*(j\/(j*j*j*j**2*j*j))\/j*j)))**(-5\/6) assuming j is positive.\nAnswer: j**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 3*d + 0*d. Let u(m) be the second derivative of 0 + 0*m**2 - 1\/12*m**4 + 54*m + 0*m**3. Determine u(f(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*i**2 - 5*i**2 + 36*i - 31*i**3 + 32*i**3 = 0. Calculate i.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059288047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + m - 1. Let z(p) = -3*p**3 - 4*p**2 + 2*p - 11. Let a(j) = 34*j + 208. Let n be a(-6). What is n*u(f) - z(f)?\nAnswer: -f**3 + 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 873 and 108.\nAnswer: 10476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 307786*p\/5 + 923376\/5.\nAnswer: -2*(p - 153896)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -31180000 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (878*p - 878*p + 80*p**3)*(-8 + 7 - 9) in the form c*p + a + d*p**3 + i*p**2 and give d.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.02479582?\nAnswer: -4.02479582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 95, 340, 819, 1610, 2791, 4440?\n\"Answer: 13*k**3 - 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 + 111*x**2 + 27*x + 21. Let l be c(28). What is the second smallest value in -3, 0.15, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)*v\/(v*v\/v**(-18))*v*v*v)\/(v\/v**(-2\/7)*v)**(4\/19) assuming v is positive.\nAnswer: v**(-17935\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83134 and 3376?\nAnswer: 665072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27510551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65314, -130604, -195920, -261268, -326654, -392084, -457564?\nAnswer: -523100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4\/4 + 119*q**3\/4 + 49*q**2 - 11*q.\nAnswer: q*(q + 2)*(q + 22)*(5*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 1511140?\nAnswer: 1511210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 387450448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.842263144 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 197.18 and 8.\nAnswer: 205.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m**2 - 4*m**2 + (-9*m - 21*m + 5*m)*(-10*m + 0*m + 5*m).\nAnswer: 122*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 4*k + 5. Suppose 3*d - 525 = -195. Suppose 0 = -4*q, 0*q + d = 5*y + q. Suppose 4*f - 6 + y = 3*i, -3*f = -5*i + 12. What is c(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-1)\/((-1)\/2)). What is the common denominator of -1 - (23\/(-2) + 2) and ((-34)\/(-10))\/(x\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10618*-441.\nAnswer: -4682538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 28*m - 1 = 24*m, -11 = -h - 4*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 8 = 4*u, -35*u = -33*u + 5*t - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 2*s**2 + 2*s**2 + 2*s**2 - 3*s**3 + 2*s**4 + 3*s**3 + (4*s**2 - 4*s**2 + s**3)*(2*s + s - 4*s).\nAnswer: -s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*n**4*v**2 + 46*n**4 - n**3*v**3 - 20995*n**2*v**3 - 2*v wrt n?\nAnswer: -2208*n*v**2 + 1104*n - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4369758*p. Let o(u) = -36*u + 1. What is o(v(j))?\nAnswer: -157311288*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 35*q + 67*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ce (base 16) to base 11.\nAnswer: -176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/4 - 66963*b\/4 + 66965\/2 = 0. Calculate b.\nAnswer: -66965, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -307\/42 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = -23*j - 596. What are the prime factors of j?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 15) in base 16?\nAnswer: d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/13, 0.2, 17, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -326695, -326694, -326693?\n\"Answer: h - 326696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 2*t**2 - 2*t**2 - t**2 + 2*t**2 - 3*t**2 + (-4*t + 0*t + 2*t)*(-2*t + 3*t + 0*t) + (2 + 2 - 6)*(-6*t**2 + 4*t**2 + 3*t**2).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*i + 28 - 55 - 52 + 144*i - 580*i)*(-i**2 - i**2 + 6*i**2).\nAnswer: -812*i**3 - 316*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34 - -47) + (-102)\/9. Let p(u) be the second derivative of 0 + 0*u**2 + 13*u + q*u**3. Let i(g) = -4*g**2. Calculate i(p(c)).\nAnswer: -400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.5. Let x = 476 + -897. Let y = -421.4 - x. Which is the smallest value? (a) y (b) -0.7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1729694*c*z**3 + 128*z**3 - 75*z + 1 wrt c?\nAnswer: -1729694*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*x - 41*x - 30. What is the third derivative of -13*d**x - 4*d + 3*d**4 + 201*d**2 + 191*d**2 - 384*d**2 wrt d?\nAnswer: -780*d**2 + 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/(3\/(-306))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 23*p - 93. Let j be s(-5). Suppose 35*f + 2304 = j*f. What is the greatest common divisor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365804?\nAnswer: 2, 109, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g - 15. Let o(r) = 7*r**2 - 9*r + 135. Let x(z) = -2*o(z) - 18*q(z). Let d(f) = 132*f**2 + 3. Calculate d(x(l)).\nAnswer: 2112*l**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 2*p - 69. Give u(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30.7 from 19739844.\nAnswer: 19739813.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 111.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbbvzvvvvbbbbb. Give prob of sequence bbbz.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000042527 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. Calculate the highest common divisor of 64 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 0.\nAnswer: -4, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k + h - 83, -6*h + 178 = -2364*k + 2362*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*j = -25, -5*s + 55 = -3*j - 6. Let k = s - 8. Is (k\/(-6))\/((-2)\/1924) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x + 0*x**2 + 0*x + x**3. Let k be j(0). Let a(m) = -m**2 + 22*m + 512. Let p be a(-14). Solve k = -q - q + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10474871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1125298 + -90610.\nAnswer: -1215908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.419 + -453.7.\nAnswer: -453.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86488060.\nAnswer: 2, 5, 563, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/15*(-10)\/(-4). Suppose -s + w = -5. Let f = s - -31. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111104322 (base 6) to base 14\nAnswer: 3a6466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 626.04 + -554.7. Let l = 72 - i. Let q = 1.55 - l. What is q rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b**5 - 165*b**4 + 305*b**3\/4 + 40*b**2 + 15*b\/4 = 0.\nAnswer: -1\/6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810625.\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -20, 0*k = 2*k - 4*u - 822. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 121 = -11*o + 29*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.3. Suppose 9*p + 117 = 99. Let n be (p\/(-30))\/(-4 + 33\/9). Which is the third smallest value? (a) s (b) -0.3 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 9160314*h**3 - 6992594394219*h**2 - 27970524142092*h.\nAnswer: -3*h*(h - 1526721)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -452*x - 450. Give b(-3).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - u**2 - 2*u + 1. Suppose w - 6*w + 15 = 0. Let h be 4\/(-1 + 0 + w). Calculate k(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -6)*8\/(-10). Solve g*n - 2*s = -5*s + 5, n - 8 = -3*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6638678003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 29*q - 4. What is b(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-79968)\/1666)\/(5\/5)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 466507999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123323 + 11?\nAnswer: -123312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 - 160. Suppose -3*f = -q - 3. Let p = -0.6 + 3.6. Which is the third smallest value? (a) -1\/3 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(b**3 + 3*b**3 - 3*b**3) + 8813*b**3 - 4301*b**3 - 4243*b**3 as z + u*b**3 + x*b**2 + l*b and give u.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:03 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 286\/15 + -56\/3. Let w = -3 - -1. Let v be (1\/(-1))\/(w\/(-2)). Which is the nearest to v? (a) -3 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144\/17 or 9?\nAnswer: 144\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 7 = 3*r - 8, d - 5 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1006 times -0.0534\nAnswer: 0.00537204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = -5*o + 41, 5*o + n = 63. Suppose k = 5, 5*q + 0*k = -3*k + 235. Let c = q + -40. Solve -o + 32 = c*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5 = -5*k, 31*f + 35 = k + 36 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by -177?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 3*o - 2. Let u be j(7). Suppose -3*k + 15 = 0, 3*k + u = -2*i + k. Is 1684\/36 - 4\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f*f**(-1)\/f)\/f))**(-44)*(f*f\/(f**1*f))**(-2\/127))**(11\/2))**(-36) assuming f is positive.\nAnswer: f**17424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 471. Let y = 422 + c. What is the greatest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 - 15*j**2 + 5*j + 5. Let x be i(-7). What is the greatest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080\/(-1440)*(3\/2)\/((-18)\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 6 = 12*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158081715 rounded to five decimal places?\nAnswer: -0.15808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(60)\/(sqrt(36)\/sqrt(3)) + (sqrt(240)\/sqrt(4))\/sqrt(12))**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-759))\/(209\/(-418))\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c - 0*c - x, -4*c + 12 = 3*x. Suppose -h = -m + 63, c*m + 2*h = -2*h + 154. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/3 + 10270*o\/3 + 186480.\nAnswer: 5*(o + 56)*(o + 1998)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(153)\/((sqrt(9) - (sqrt(9) - sqrt(99)\/sqrt(11)))*-5) - (-2 + sqrt(17) + 3 - ((sqrt(68) + 4*sqrt(68))\/sqrt(4))**2).\nAnswer: -6*sqrt(17)\/5 + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1583.885 millilitres?\nAnswer: 1.583885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*f = -0*f - 4, 0 = 3*m + 2*f - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 19 = -11*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059975 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or 1072\/3?\nAnswer: 1072\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61575.35ml in litres?\nAnswer: 61.57535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*x - 444*x = 5052 - 25856 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 86\/2 - (-1 - (2 - 4)). Suppose -z - c + 6*c + 25 = 0, 2*z - a = 2*c. Let m = 6 + -2. Calculate the highest common divisor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 1.619?\nAnswer: 4.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 5, -5, 64, 5362.\nAnswer: -5, -4, 5, 7, 64, 5362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44444 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4716 is divided by 337?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 3980?\nAnswer: -3968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 - 11 = 0. Sort 1, -1, h, -2.\nAnswer: -2, -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)*c**(-3))\/(((c*c*c**0)\/c)\/(c**(-6)\/c)))**3 assuming c is positive.\nAnswer: c**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (78\/546)\/((-5)\/84*-8)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528.5164 kilometers to nanometers.\nAnswer: 528516400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 362142 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767*v - 802*v - 780*v + 2321*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2213 rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4874886.70319 + 4874849. Let y = v - -37.7. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -137*g + 12927. Calculate o(81).\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51872493?\nAnswer: 3, 89, 173, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 12:51 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 73 (b) 3\/2 (c) 0.5 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*g + 45 = 0, -20 = 2*g + 3*g. Let w = u + -21. Let x = 92 - w. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 + 7*a**2 - 31*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2\/2 + 2*j - 1. Suppose 3 = -5*k + 8. Let l(n) = k + 2*n - 3*n + 0. Give -3*l(b) + w(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 2688 + 2658 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/44)*o\/(o*o*o**(14\/3)*o))\/(o**19)**(2\/95) assuming o is positive.\nAnswer: o**(-4679\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -21*(0 - (-2 - -3)). Let p = -4 + 4. Suppose p*q + 3*q = o. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 33 = -5*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643906897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3 - 3 + 2*u**2. Let l(t) = -2*t - 3. Let n(y) = -y + 1. Let p(i) = l(i) + 3*n(i). What is p(w(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 - -258.09. Let c = s + -0.09. Sort -0.5, -1, c in decreasing order.\nAnswer: c, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.474 + 6.3. Let d = v - -0.21. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0*u = 18*n - 94, 95*n + 9*u - 23 = 94*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(90) - (sqrt(90) - (3*sqrt(90) - sqrt(90)))) + sqrt(90) - sqrt(90)))\/sqrt(6))\/((6*sqrt(72)\/sqrt(2))\/sqrt(12)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 16, a: 4}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168414.7 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 59?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -68, -95, -136, -191, -260?\n\"Answer: -7*y**2 + 8*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5479*n + 6. Let l(h) = -10997*h - 11. Determine -7*g(q) - 4*l(q).\nAnswer: 5635*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -68*m - 147 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -33. Suppose -4*a = -3*a - k. Suppose 279*b**4 - 5*b**2 - 284*b**4 + a*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983124.9ng to tonnes.\nAnswer: 0.0000000009831249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 10. Let g be 2 - p - 245\/(-1287). Let l = g + -1\/117. Which is the smallest value? (a) 3 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1792718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -639, -1431, -2539, -3963?\nAnswer: -5703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134004 (base 5) in base 16?\nAnswer: -5289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-220)\/165.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-6))\/(10\/(-8)). Let t be (-1)\/2*(d - 4). Find the third derivative of -6 - 2*y**4 - 7*y**2 + t + 5 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -17*y**2 - 31. Let q(p) = 9*p**2 + 16. Let g(l) = 6*n(l) + 11*q(l). Differentiate g(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471919561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 473 - 261. Suppose q = 51 + u. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**3 - 2*v**2 - 6*v - 2*v - 8*v**3 + 10*v**2 + 10. Let i be b(-5). Let k be (-1 - -1) + (-2)\/(-19). Is k <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/11))\/c*c)**(-3)\/(c**14*c\/(c*c**(5\/2)\/c)) assuming c is positive.\nAnswer: c**(-323\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihthtihttitithtitiii. Give prob of picking 1 i and 1 h.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-152) + (-40)\/19. Let t be (-15)\/6*x*1. Suppose -5*n = -t*c - 45, 0*c = -n - c + 9. Calculate the lowest common multiple of n and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a5 - -47a8?\nAnswer: 4c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 5*i + i)*(-3*i**4 + 1194*i**2 - 1256*i**2 + i**4).\nAnswer: 8*i**5 + 248*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 55 = 5*y, -5*y + 4 + 33 = c. Solve -5*z = -z + 16, 0 = 4*n - 2*z - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6063.2249 to the nearest 100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*a**3 + 5*a - 5*a - 51*a**3 + 129*a**3 + (-1 + 1 + 2*a**2)*(3*a + 7*a - 8*a).\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 136852869 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 1 - 3*w - 5*w + 137 in the form g + f*w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 10 - 2, -4*z - 4*u - 31 = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 + h**4 - 3*h**3\/2 - 17*h**2\/2 + 14*h. Let u be w(11). Which is smaller: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -801*y - 8357. Let s be d(-11). Solve 68*b + 22 = -s for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 2*y**2. Let w be n(-2). Let f be w - (-3)\/(3\/3). Let x be f + -1*(-1)\/(-1). Solve 3*j + x = 4*q, 2*j + 9 = 5*q + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 117, 253, 443, 687, 985, 1337?\n\"Answer: 27*v**2 + v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 3*v + 13, -5*v + 30 = 2*h. Solve -4*p + h*b + 1 = -3, -1 = -p - b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3518124*b**2. Let v(j) = 8*j. Calculate y(v(u)).\nAnswer: -225159936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47736 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12522 + -5811. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 6*r + 10 = 18*t + 69, -4*r - 108 = -8*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*f, 7*l - 97*f - 92*f - 373 = -2*l - 193*f for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9451500 to the nearest 100000.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 2*m - 0, -4*j = 3*m - 47. Let l(t) = 6*t + 6*t - t**2 - 5*t + 7. Give l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 14 + 2 = 0. Solve -4 - 2 = k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/13 (b) 4 (c) 1\/4 (d) -35 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 26*g - 8 + 4)*(106 + 147 + 535) as b + m*g and give b.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301\/95 or -2?\nAnswer: -301\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-999)\/72)\/37 - ((-155577753)\/24)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -26. Let d(l) = 4*l - 7. Let c be d(4). Suppose 0 = -5*p + 11 + c. Put s, -4, p in descending order.\nAnswer: p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by -72.\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/772?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*k - 9, -4*n + 71 = 2*k + 59. Factor 0*q**2 + k*q + 1\/5*q**5 + 0 - 4\/5*q**4 + 3\/5*q**3.\nAnswer: q**3*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010010011 + 10101000000110?\nAnswer: 1011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 264462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5155*h + 305*h + 469560 = 0 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 2. Let y be x(-11). Let s = 9 + y. Does 19 divide (2 + 1)*(19 + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*t - 66*t + 2 - 2*t**2 + 409*t**4 - 406*t**4 + 4*t**3 in the form o*t**3 + k*t**4 + d + p*t**2 + z*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:52 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1034 divide 19893688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1235560180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 16. Suppose -3*i + 42 = -6. Let w be k\/(-3)*(-4)\/i. What is the third smallest value in w, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 4*t + 2. Let g(k) = k**2 + 7*k + 8. Let v be g(-5). List the prime factors of j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.78 + -17.22. Let d = -17.8 - s. Which is the closest to 2? (a) 2 (b) d (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(44)\/(sqrt(512)\/sqrt(8) - sqrt(4) - sqrt(4)) + (sqrt(484)\/(sqrt(11)*-1))\/(2*(sqrt(4) - (2*sqrt(4) + sqrt(4)))))*-3.\nAnswer: -9*sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 2*k**2 - k - 3. Let i(d) = -9*d**2 - 3*d - 20. Calculate -i(n) + 5*j(n).\nAnswer: -5*n**3 - n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -842\/3 or -282?\nAnswer: -842\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 140886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32492597\/8 - -4150942. Let h = t + -90393. Let m = 1027 + h. Calculate the common denominator of -61\/5 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 6*c - 2*c + y, -y - 49 = -2*c. Calculate the remainder when c is divided by (-152)\/(-11) - 16\/(-88).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 6) + (21 - 53 - -14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 11 = 3*o - 5*h, -o + h = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -3*p - 6*n + 7, -3*p + 38 = -3*n + 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 3*f**3 - 9*f**2 + 15*f - 6 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0771 to two dps.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/20*175\/(-21).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15104720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18180 rounded to the nearest 100?\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216150 and 2871913?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 641 + 0*r**2 + 646 - 1288 + r**2. Let s(p) = 8*p**2 - 3*p - 3. Let a(b) = s(b) - 3*w(b). Let d(y) = 5*y**2. Calculate d(a(j)).\nAnswer: 125*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + 4.11. Let r = 10 + -15. Which is the second smallest value? (a) -2 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*t - 469*t + 1374*t + 20*t**2 - 450*t.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 - 199 - (-11 + (-10 - 1)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 16. Let s(d) = -d**2 + 4. Let v(g) = -2*r(g) + 9*s(g). Suppose 6*w - 11*w = 0. Give v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/3 + 512*r\/3 - 10682 = 0. Calculate r.\nAnswer: 109, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-5)\/(-10))\/(2\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + -10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-3))\/(((-230)\/(-1518))\/(36\/(-66))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 2*i**2 - 2*i - 8. Suppose 5 = -a + 2. Let z(q) = q**3 + q**2 + q + 3. Determine a*s(g) - 8*z(g).\nAnswer: -2*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.34 - 38. Let l = 0.08 - n. Let d = l - -3.26. Put 2\/27, -6\/7, d in increasing order.\nAnswer: -6\/7, 2\/27, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11447523 to the power of 1\/2, to the nearest integer?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179.5 + 4796439.\nAnswer: 4796618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 151?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 93 + (11 - 12 - (3 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9975 is divided by 217?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:32 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.064463 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - -24) + 1 + -4 + (-93 - -98).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4)*c)**(15\/4)\/((((c*c\/c**5)\/c)\/c)\/(c*c**(-2)*c))*c**(2\/5)\/(c\/(c\/c**(-4)))*c*c**(-1\/5)*(c\/c**(-4))\/c assuming c is positive.\nAnswer: c**(1811\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394496, -394494, -394492, -394490, -394488, -394486?\nAnswer: -394484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268430257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28821 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10699, -10756, -10815, -10876, -10939, -11004?\nAnswer: -11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a factor of 141849971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6941.\nAnswer: 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = -h - 0*c, 0 = -h - 5*c - 2. Let i be (-2)\/(-2)*1*(-3 + h). Suppose -4*b + 86 = -i*y + y, -5*b + 355 = 5*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2047*k + 29399 - 29399 + (5*k - 4*k - 2*k)*(-2 - 3 + 3))*(-4*k**3 + 3*k**3 - k**3) to d*k**2 + j*k**4 + c*k**3 + q + z*k and give j.\nAnswer: -4098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 23 = 10. Suppose 0 = -3*u + i + 133. Calculate the remainder when u is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s + 2. Let f be z(-1). Sort f, -1, 14, -4 in descending order.\nAnswer: 14, f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140335 is divided by 7795.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9862 and 4.\nAnswer: 19724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*k**2 - 6*c*k + 6146*c + 1015414*k**2 - 2*k + 2 wrt k?\nAnswer: -2*c + 2030828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20881602 is divided by 1197?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9346 (base 16) in base 7?\nAnswer: -6306441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44943854.\nAnswer: 2, 19, 311, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**3 - 1. Let k be s(1). Let u be (6 - 1)*8\/k. Let z(x) = -34*x - 1. Is z(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 1674902*f**3 + 1674901*f**3 + 4*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 1800*m**2 + 165000*m + 4000000.\nAnswer: 2*(m + 50)**2*(m + 800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 divided by -57?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - (0 - 0)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) + -1)*-3 + sqrt(19))**2.\nAnswer: -255 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*m - 1135*m - 52266 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 13*b**4\/24 + b**2. Let x(t) = 2*t. What is g(x(a))?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330475 minus -172?\nAnswer: -1330303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317 - 3583*r + 7479*r - 317 to v + x*r and give x.\nAnswer: 3896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12533 + -12529. Let x = 5 - 3. Sort x, -0.3, p in descending order.\nAnswer: p, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 921 + -924. Let x = -3 - -2. Which is the nearest to 1? (a) x (b) 2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8152752 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/6939 and -1\/2196?\nAnswer: 1693116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 3*a**2 - 8*a**2 + 0*a**2 - 5*a**2 + 3*a**2 + (-3*a + a + 0*a)*(-1 + 1 + 2*a) + (3*a + a - 2*a)*(3*a - 5*a + 0*a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -31. Calculate the common denominator of (-75)\/18*l\/(-6) and -61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 79*a**2 + 35*a + 74. Let c be j(77). Is c at most -9089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 120 = 5*l, 4*l - r = -0*r + 81. Suppose 0 = 27*y - l*y - 480. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -341 and -368 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**2 + 6*l**2 - 22*l**2)*(4 - l - 4) - 3*l**3 + l**3 + 4*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 457465158 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/((-15)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/12 + 43*a**3\/6 - 305*a**2\/2 + 709*a. Determine w(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/70764 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 15141.\nAnswer: -15140.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52663 (base 7) to base 13.\nAnswer: -5c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1058*f**5 - 242098*f**4 - 1147064*f**3 - 742984*f**2 + 155872*f - 7168 = 0.\nAnswer: -224, -4, -1, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-2640)*100)\/(7\/15*2\/(-7)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/24 and 17\/21300.\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*h - 5529 = -0*m, 2*m - h - 2757 = 0. What are the prime factors of m?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 57 = -4*a, 0 = 4*a - 0*a - 3*x - 63. What is the remainder when 14 is divided by (-4)\/a + 564\/108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17268\/32 + (-9)\/(-24)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3949437 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.668 rounded to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(14\/3))\/f)\/(f*f\/(f*f*f**(2\/13))*f)*(f\/(f**(-4)*f*f)*f)**(-7\/9))**(-3\/8) assuming f is positive.\nAnswer: f**(-83\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let u(n) = 5*n - 6. Let v(c) = -2*l(c) - u(c). Let r(x) = 16*x - 19. Let t(y) = -2*r(y) - 11*v(y). Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = 7*w. Suppose -w*q = i - 9, 3*i - 3*q - 28 = -10. Let c(v) = -v + 12. Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-1)\/5 + 57\/(-190)). Solve -d + q = 2*h - h, 0 = -d + 5*h - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1048)\/(-24) + 2\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -649 + 344. Let l = 304.9 + f. Which is the biggest value? (a) l (b) 1 (c) -2\/17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126\/2435 + 162818\/21915. Let o = -38\/5 + p. Let m = 19 - 20. Sort o, -1\/11, m.\nAnswer: m, o, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbebebbbebbbbe. Give prob of sequence eee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034518 is divided by 252?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10140 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 + u**5\/30 + u**4\/8 + u**3\/6 + 2*u**2. Let j be a(3). Let k = 11 + j. Solve 6*s = 2*s + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100\/7 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3\/8 (c) -1\/12 (d) -7.581\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - n = -13, 1 - 18 = -4*l - 5*n. Let h be l - ((-4)\/(-4) - 417). Suppose 14*r - 13*r - h = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 200, 288, 410, 566?\n\"Answer: 17*v**2 + 3*v + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 5*h**3 - h**3)*(0 - 6 + 4) - 2 + 2 + h**3 + (9 + 3 + 16)*(-3*h**3 - 4*h**3 + 5*h**3) - 2*h**3 - 3 + 3.\nAnswer: -59*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8091 and 105?\nAnswer: 283185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 34. Calculate q(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5394 + -10429. Let a = k + 30331\/6. Let p = 11507\/627 - 4\/209. Find the common denominator of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 35*z**3 - 5*z**2 - 2*z - 4. Let o(h) = 138*h**3 - 19*h**2 - 9*h - 18. Give 9*g(w) - 2*o(w).\nAnswer: 39*w**3 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = -15. Let i(l) be the first derivative of -l**d + 3 + 0*l**2 + 0*l + 1\/5*l**5 + 0*l**4. What is the third derivative of i(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 + 263*l**2 - 412 + 926*l**2 + 204.\nAnswer: 1189*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9024155*i. Let t(z) = 2*z**2. What is t(p(x))?\nAnswer: 162870746928050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11785 is divided by 86?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2325*q**3 - 6360*q**3 + 677*q**3.\nAnswer: -8008*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 + h. Let a be f(-1). What is the derivative of -2*i**a - i**3 - i**3 + 1 + 0*i**3 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let a be 4\/(-6) + 116\/3. Suppose 0 = -d - 3*i + 9, 4*i + a = d + d. Let b(s) = 15*s + 45*s**2 - d*s + 5*s**2. Determine o(b(k)).\nAnswer: 5000*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1605 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1054404.\nAnswer: 7380828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 67*y**2 + 5*y**2 - 72*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 - 95. What is the remainder when p is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -431. Suppose 0 = 5*x - h - 563. Is 61 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3))\/((-2)\/3). Let t = 3 + r. Let g(m) = m**2. Let a(i) = -i + 1. Let p(f) = 6*f**2 - 1. Let d(j) = 2*a(j) + p(j). What is t*d(s) - 4*g(s)?\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8286568 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j**2 + 15*j - 10. Let l(k) = 9*k**2 - 14*k + 12. Calculate 6*a(g) + 5*l(g).\nAnswer: -3*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 5*g**7\/42 - g**4\/6 + 5*g - 1. Let o(t) be the first derivative of y(t). What is the third derivative of o(p) wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -6, 6, 2 in increasing order.\nAnswer: -7, -6, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5696 + -5690. Solve 0 = 95*x - 101*x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -240*j**3 + 4*j + 7. Let v be x(-2). Suppose -v = 4*w - 71995. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051154400 (base 6) in base 15?\nAnswer: -102e0b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 4)\/((10\/(-54))\/(-5)). Solve -k = 6*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 171. Solve 7*d + 18 = -c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**23*l))\/l*l**(-23) assuming l is positive.\nAnswer: l**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 88. Suppose i - o = -4*l - 2*i, 3*l - 40 = -2*i. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:43 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39738 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 11 = -5*m - 0, 4*m + 2*j = 16. Let n(d) = -6*d**2 + 2*d - 4. Let x(t) = -6*t**2 + t - 3. Determine m*n(r) - 4*x(r).\nAnswer: 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 1, b: 1, o: 3, p: 1}. Give prob of sequence ow.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + -3) - (10 + 12 + -30).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-2))\/(-5 + 4). Let o(z) = z**3 - 3*z**2. Let n be o(u). Solve -3*x + 15 = -n*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/4 - m**3\/12 - 4*m. Let v(h) = 0. What is h?\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82828, -163523, -244216, -324907?\nAnswer: -405596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 11*w - 108. Let f be g(7). Suppose 10*d - f*d = -232. Solve 4*h = 3*h - i + 9, -d = -h - 5*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l + 8. Let h be t(-3). Let f(w) = w - 16. Let k be f(h). Let g be 10*(-2)\/4 - -2 - k. Solve -g*b + 3 = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 7 + -5 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35280*g**3 - 113919960*g**2 - 2712365*g - 16145.\nAnswer: -5*(g + 3229)*(84*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9274523?\nAnswer: 53, 174991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541422454.9000123 + -541422483. Let s = i - -28.1. What is s rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 + 5*p - 2. Let w be g(-3). Let d = w + 47. Let a = -56 - d. Solve -v + a = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-304)\/24)\/(2\/3). Let r = 32 + y. Suppose 3*m - 20 = r. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166140 by -55380.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 20*w - 10*w + 27*w - 2*w. Is p(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.8 - 47. Let g = 103.99 + -104. Which is the fourth biggest value? (a) 0.06 (b) g (c) 0 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 9*a - 22*a**2 - 2*a**2 + 0*a**2. Let j(x) = 25*x**2 + 13*x. Let b(r) = 5*j(r) + 4*m(r). What is the second derivative of b(p) wrt p?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -6922?\nAnswer: -99\/6922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 138*v**3 - 585*v**2 + 744*v - 300.\nAnswer: 3*(v - 2)*(v - 1)**2*(v + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 68781687?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1906*-64 - (-1)\/1. Let y = c - -371983. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511247979 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*h**3 - 32*h**2 + 64*h**2 + 2*h**4 - 3*h + 0 - 33*h**2 in the form b*h**2 + r*h**4 + a*h + m + p*h**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/3))\/r**(-5))\/(r**0\/(r**(-3)*r)))\/((r\/(r**0\/r*r*r))\/((r**0\/r*r)\/r)*r**2*r**(-3)) assuming r is positive.\nAnswer: r**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0.2, -31\/6, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50743171482.99998519 + -50743172721. Let q = m - -1238. What is q rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 64*r + 9. Let c(d) = 30*d + 6. What is -10*c(v) + 4*q(v)?\nAnswer: -44*v - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+3383898.7\nAnswer: 3383898.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -caa (base 14) to base 13.\nAnswer: -11a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420481?\nAnswer: 47, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19656104 and 13104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let l = 76 - 71. Let s(m) = 7*m**3 + 12*m + 5. Let c(b) = 3*b**3 + 6*b + 2. Let q(i) = l*c(i) - 2*s(i). Give -6*h(a) + q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 34*g + 105 = 0. Calculate the smallest common multiple of g and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/9)\/m**22)**(-5\/8) assuming m is positive.\nAnswer: m**(965\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = g - 3, -3*d - 7 = -3*g - 8*d. Let l be (-12)\/(0 + 1) - g. Let h = 8 + l. Sort 3, -5, h.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585313309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**8\/5040 - k**7\/1260 + k**5\/180 - k**4\/72 - k**3\/2 + k. Let i(n) be the second derivative of u(n). Factor i(m).\nAnswer: (m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -9*g**5\/20 - g**4\/2 - 5*g**3\/3 - 3*g**2 - 2*g - 24. Let u be -6 + 0 + 0 + 1. Is w(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3401 - -13?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/4 - 2*x**3\/3 + 7*x**2\/2 - 3*x. Let l(v) = -14*v - 12*v + 27*v - 1. Let t(y) = k(y) + 6*l(y). Determine t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i - 225. Let x be u(12). Suppose 4*b - 840 = x*m, -5*m = -5*b + 308 + 742. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q + 21. Let u be g(0). Suppose -6*k - u = -3*k. Let z = k - -4. Sort -4, z, 1.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*p = 4, -28*z = -27*z - 2*p + 2. Solve -4*h - 20 = z, 2*j + h = 4*j - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 217229712*v - 5898593471950368.\nAnswer: -2*(v + 54307428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-5))\/(14\/(-35)). Let t = 8 - 12. Put t, m, -0.3 in ascending order.\nAnswer: t, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5247, 6374, 7501?\n\"Answer: 1127*h + 4120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*n - 0*n - 32265, 2*n - 4*t - 12914 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3 + 0*v**2 - 4*v - 4\/3*v**3. Find the first derivative of p(o) wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = l - 5*l - 209 + 221, -56 = -25*a - 2*l + 238 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7404\/23 - -322. Let r = -0.3 + -6.7. Let b = r - -7.1. What is the closest to b in -2, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/4033 or -73768?\nAnswer: 2\/4033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24348606 and 6891.\nAnswer: -24341715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 479*m - 1637. Let a(u) = -u + 2. Let h(d) = 2*a(d) - f(d). What is the first derivative of h(y) wrt y?\nAnswer: -481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(3\/(-3) + -1). Solve 4*p - 2*p + 2*h = -6, 16 = -4*p - r*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x**2 - 3*x. Calculate k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 255957?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 1\/6*y**3 - 225*y**2 + 91\/30*y**5 + 0*y + 0*y**6 + 0*y**4 + 0 + 31\/105*y**7. What is the third derivative of u(f) wrt f?\nAnswer: 1488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319909746 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 22*n - 3*n + 14 - 46*n in the form z*n + j and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 l when three letters picked without replacement from {v: 5, r: 3, y: 1, l: 1, p: 1, d: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 14*a - 23. Let t be h(8). Let s(u) = u**2 + 7*u + 2. Let y be s(t). Solve k - y = 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 72 = -l. Suppose n - 2*n = -l. Suppose n*v = 4*v - 1832000. Round v to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 5. Let t be o(2). Suppose 10 = 2*f + d, 4*d - t = 3*f - 18. Factor 2*r + 10*r**2 - 5 + 10*r**3 - r - 6*r - 5*r**4 - f*r**5.\nAnswer: -5*(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 - 5*b**4\/24 - b**3\/3 - b**2. Let o be j(-4). Is o > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399825894 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjwmmmmmmwjwvmwvjm. Give prob of picking 2 v.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) - sqrt(27)\/sqrt(900)))**2.\nAnswer: 972\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-2 + sqrt(133))*-5 + sqrt(133) - (-1*sqrt(133)*2 + sqrt(133)))*-5)\/(-4*(sqrt(112) + sqrt(112) + sqrt(112)*-4)*2).\nAnswer: -35*sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 862 (base 15) to base 14\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227234*p**3 - 113308*p**3 - 113925*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 338356 - 2*l + 2*l - 154*l**3 + 338357 to the form f + m*l**3 + j*l**2 + c*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2271851 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + m + 0*m - m + 0*m - 119380 + 119189.\nAnswer: -2*m**2 - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 29) + 98 + -31.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2131*u + 8 - 1073*u - 1040*u.\nAnswer: 18*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 18*y = 10. Suppose -27 = -11*l + y*l. Suppose o = -2*o - r + 48, -4*o - 4*r = -72. Calculate the remainder when l is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -1.09, 277, -2\/11, -2\/5, 4, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let u = i - 7. Which is the smallest value? (a) u (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4235 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + d - 30 = -d, 5*o + 5 = -3*d. Let w(f) = -f - 6. Let u be w(-2). Are u and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**3 - 3*m**2 + 41. Let u(k) = -9*k**3 - 3*k**2 + 46. Calculate -2*u(b) + 3*w(b).\nAnswer: -6*b**3 - 3*b**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 1. Suppose -n + 3 = -4*n. Let p be f(n). Calculate the remainder when 4\/p*99\/(-6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 23, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/57974 and 101\/3444.\nAnswer: 347844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -511 at least -509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12094991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221\/35 + 33\/5. Suppose z - 2 = -0*u + 2*u, -3*u = 5*z - 23. Let r be 1*((u - 1) + -1). Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 173?\nAnswer: 5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 2*l**2 + 6*l. Let p be f(4). Let v = -21 - p. Suppose 6*x + x = 196. Calculate the remainder when v is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800\/243 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118366689.\nAnswer: 3, 7, 67, 84127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4101?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/306)\/(30\/(-18))*(-420)\/(-882).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5171304942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129618953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 19 = 4*k, -5*f - 11*k = -9*k - 13. Solve -f*n = 3*c, -c - n = 2*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + 4 + -1 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 39*t + 101. What is the remainder when z(8) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 194*v**3 - 11 + 0*v - 3 + 195*v**3 - 12*v**2. Let n be (5\/40 + 46\/16)*4. Is 2 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/77 + (-610)\/(-14). Let t = -6 + c. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -2, -1\/2, 2\/9, -4.11, 0.09?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 262.57839 hours?\nAnswer: 10.94076625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5*k + 0)*(2*k - 5*k + 6*k) to the form h*k**2 + z*k + u and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 424 = -2*i - 2*b, -5*i - 4*b + 418 = 0. Let o = -44 - 0. Let d = o + i. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 26562b?\nAnswer: -265633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 5*u - 3. Let y be n(4). Differentiate -18*p**4 + 0 + 19*p**4 - y wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Solve -5*x - 15 = -v*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bscp when four letters picked without replacement from {x: 2, p: 1, s: 1, c: 2, b: 1, v: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 14. Let a be (-3)\/(-8)*(-1)\/3. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l - 1. Let y(x) = -14. Let f(o) = o - 28. Let c(a) = 3*f(a) - 5*y(a). Let p be c(6). Give d(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 5)*(3*s - 5*s - 18*s) as n*s + x and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 3*p + 135. Let g be t(-13). Does 22 divide (g\/2)\/((-30)\/(-72)) + 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + 612. Suppose 5*q = 4*o + 232 + p, -882 = -5*q + 3*o. Let s = q + -2612\/15. Which is the third smallest value? (a) -4 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 58*n**2 - 3*n - 413. Let m be d(-19). Sort -71, 4, m, -1.\nAnswer: -71, -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 340 + -332. Let y(x) = 10*x - 71. Let c be y(p). Solve -3*k + 0*z - c = -3*z, 3*z = -6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*f + 2*f - 5*b, -16 = -4*b. Solve l + 0*l = -4*g - 3, l + f*g = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490674870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1471*j**3 + 414*j**2 + 19*j - 133*j**2 + 721*j**2 - 19*j wrt j.\nAnswer: 8826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 2*i. Let q(n) = -2*n. What is b(q(m))?\nAnswer: 8*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) - 0 - -7. List the prime factors of (1 + i)*2\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/137? (a) 1\/6 (b) 1\/5 (c) 4\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1305.0838 to zero decimal places.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 21 + 21. What is the smallest common multiple of -6 + 4 + 0 + c and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -109. Suppose 2*u + 2*u = d. Solve i - 5*m - 24 = 0, 0*i - u = -4*i + 3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6682, -13363, -20048, -26737, -33430?\nAnswer: -40127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 23557768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k + 89. Let i be q(27). What is the highest common factor of 60 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6121 = -4879. Round z to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*a = 510, 2*a = 4*k - a - 678. Let z be (-810)\/(-8)*k\/63. Suppose 7*g = 10*g - z. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 538403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 25 + -7 + (6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 404 and 4733668?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 10}. Give prob of sequence npn.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(9 + 4 + 9)*(0*d - 5*d + 4*d) to the form r*d + w and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6f4 (base 16) to base 4\nAnswer: -123310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i + 2. Let x be (18\/15)\/(6\/20). Let v be x*(0 - 3 - -2). Is d(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 1302 - 66 = 0. Let s = u + -105. Sort 3, 47, s in decreasing order.\nAnswer: 47, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43348737.\nAnswer: 3, 3727, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*l - 113 = 63, 5*f - 894 = -3*l. Let k = f - 180. Put -120, -3, k in decreasing order.\nAnswer: k, -3, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17228721 is divided by 2025?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 239. Let n = -113 + s. Which is smaller: n or 5\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/8 - 262023*i**3\/2 - 45770701686*i**2 - 5330211807942568*i.\nAnswer: -i*(i + 349364)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0.1 (b) 2 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -2, -7, -16, -29?\n\"Answer: -2*f**2 + 5*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 744069 times -0.4?\nAnswer: -297627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g - 28*g**3 + 3*g**3 + 16*g**3 + 11*g**3 - 19 + 6*g**3 wrt g?\nAnswer: 24*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700182 - 69318 = -15*q. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23506 (base 7) to base 3.\nAnswer: -22100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)*4 - (sqrt(84) + (sqrt(84) - -4*sqrt(84)*3)))\/((sqrt(12) + -2*3*sqrt(12))*-6*-3).\nAnswer: 13*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 509*v - 475*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4495814 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6906440 to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2676*l + 2106326. What is k(-787)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/((-16)\/(-52)). Let l be -1*(c\/1 + 5). Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(16\/(-10))*(-5 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 807*i**5\/20 + i**4\/12 - 148*i**3\/3 + 4610*i. Find the third derivative of a(z) wrt z.\nAnswer: 4842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h**3*m**2 + 2024*h**3*m + 2*h**3 - h**2 - 42038*h wrt m.\nAnswer: 10*h**3*m + 2024*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1117999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6567561, 26270211, 59107961, 105080811, 164188761?\n\"Answer: 6567550*u**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(3*6\/(-117)). Let k = w + 60. Solve 5*z = -k - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:11 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 8. Let i be -3 + 6\/(-9)*-6. Let u = i + 8. Is h(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262048 is divided by 107.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35655.21554 plus -0.3?\nAnswer: 35654.91554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 8075914413876.\nAnswer: 8075914413876.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 23862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 5\/(5\/(-2)). Suppose -v*g + 9 = -0*g, 5*q + 12 = -g. Let m = 0 + 2. Sort 5, q, m in decreasing order.\nAnswer: 5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -5. Let o = b - 7. Let r = 7.3 - 7.5. What is the closest to -3 in r, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5994885, -11989818, -17984749, -23979678?\nAnswer: -29974605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 60 = 10*m. Calculate the remainder when 78 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2550 and 2550?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29 + 13 = 0. Suppose 2*f = 16, -m = -3*m + f + 90. What is the lowest common multiple of m and b?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67243.17mm?\nAnswer: 6724.317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -60.1. Which is bigger: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30011120 - -2?\nAnswer: 30011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -200. What is the remainder when 83 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 + 161. Factor -2*v - 5\/2*v**4 + 4*v**2 + 7\/2*v**h + 0.\nAnswer: -v*(v - 2)*(v + 1)*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.981 + -97.8. Let z = t + -11.115. Let m = z + 11.8. What is m rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1438*l**3 - 14*l**2 - 5*l - 3. Does 12 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 13 + 4 = 0, -4*g + 34 = 2*q. Suppose 0 = 4*h + x - 21, 0 = 3*h + 2*h - 2*x - q. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6228732 and 1465584?\nAnswer: 24914928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/28 + (-502)\/(-14). Let g = 53 - a. What is the remainder when 97 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 369104*n - 5167448\/7.\nAnswer: -2*(n + 2)*(n + 1291862)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 26 + 30 + 79*l as q*l + v and give q.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2732 divided by -683.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18217, -18161, -18055, -17899, -17693?\nAnswer: -17437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) 4 (b) 83 (c) -0.3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/90*(-3)\/6 + (-6)\/8.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 + 1 = 0. Let h be ((-15)\/6 - 1)*4. Calculate the remainder when c\/h - 1112\/(-28) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, w: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 40 = 5*c - 4*w, 2*w + 16 = -c. Let o(h) = -h**2 + 8*h - 13. Let u be o(2). Sort u, -2, c in descending order.\nAnswer: u, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 6)*(-6 + 4 + 0)*(7*m**2 - m**2 - 2*m**2)*(4*m**2 + 2*m**2 - m**2).\nAnswer: -240*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*x**(-3\/7)*x*x)))\/x*x**38)\/((x*x*x**(-19)*x*x)\/x*x\/(x\/(x*x**(-21)*x))*x) assuming x is positive.\nAnswer: x**(522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 856*m**2 + 57*m**2 + 253*m**3 - 149*m**2 - 261*m**2 wrt m?\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10923239827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 2*w)*(-6*w + 6*w - w**2)*(3 + 3 + 0)*(4 - 3 + 1).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:31 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 111 = -3*s - 23, -149 = -5*s - k. Let u = 6 - -14. Suppose -60 = -5*d + u. What is the remainder when s is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c816 (base 14) in base 11?\nAnswer: -a257a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 60*d**4 - 225*d**3 = 0 for d.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500.9*-29.\nAnswer: 43526.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d*d)**(-9)\/(d**(-2\/7))**1 assuming d is positive.\nAnswer: d**(-683\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*s = -2*n + 55, 0 = -3*n - 5*s + 63. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5*n**5\/6 + 2*n**3\/3 - 2*n**2 + 1. What is the first derivative of j(h) wrt h?\nAnswer: -100*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 40 = -4*j, 5*j + 6 = -4*m + 74. Solve 0*n + m = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*a**3 - 295*a**3 + 168*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5735*f**5 - 149450*f**4 + 180410*f**3 + 940160*f**2 + 55245*f + 810 = 0.\nAnswer: -27, -2, -1\/31, -1\/37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/2 + 847417*y - 718115571889\/2 = 0.\nAnswer: 847417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 182412100 rounded to the nearest 100000?\nAnswer: 182400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 8. Suppose -c - 7 = 9*s - 10*s, -15 = c + 3*s. Let j be 57\/c - (-1)\/3. Let o be h(j). Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 827*z**3 + 2*z + 2652 wrt z.\nAnswer: 2481*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78941930 * -0.2.\nAnswer: -15788386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/2160 - 7*f**5\/120 + 49*f**4\/16 + 8*f**3\/3 - 239*f. Let y(z) be the second derivative of n(z). Solve y(r) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/6)\/(1\/8). Let v be 8*(-2)\/b*-2. Is -5 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 10635673*f**2 - 10635673*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/8 (b) 0.1 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/59, -4.79, 5\/4, 531, 0.4.\nAnswer: -4.79, 2\/59, 0.4, 5\/4, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -108. Let z(b) = -b**2 + 27. Let c be z(j). Let t(x) = x + 0*x + 1 + 2*x**2 + 0*x. Determine t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -45*b + 0*b**3 - 1\/20*b**5 + 0 - 1\/4*b**4 - 21*b**2. Differentiate m(v) wrt v.\nAnswer: -3*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -78. Put 4, -1\/5, 0, k in descending order.\nAnswer: 4, 0, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 - 1073.\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (528\/(-1320))\/((-16)\/10 - -1). Let i be (-2)\/12*9\/6. Which is the nearest to -0.1? (a) 0.2 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39522 is divided by 131.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 + 309. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -724.7 + 683. Let p = j + 43. What is p rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343 bigger than 2349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650145 (base 7) to base 12.\nAnswer: -55429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82201281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8974*g**6 - 21*g**2 - 158*g - 2.\nAnswer: -1076880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-1))\/((-252)\/24))\/((-1)\/14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 5. Let s(q) = q + 3. Let r(v) = 5*s(v) + 3*w(v). Let t be r(-4). Suppose t*n = 7*n - 186. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 59. Let z = 69.31 + l. Let c = 0.289 - z. What is c rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1614*a + 3 + 7 - 1387*a.\nAnswer: 227*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-42) + ((-33)\/(-7) - 5). What is the closest to 1\/2 in 2\/19, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3325.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + (6 + -1 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*x - 5 = -28, -a - x = -1. Sort -15, 4, -1, a in increasing order.\nAnswer: -15, a, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-9 - ((-23 - -21) + (-4 - 0)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 35373528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 0*y + 4*y)*(7 + 5 + y - 3*y).\nAnswer: 2*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39446672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 + 3. Let q = 22.6 - 20.6. Which is the smallest value? (a) q (b) -4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184098 is divided by 371?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8184 divided by 341\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -264166 (base 7) in base 10?\nAnswer: -49489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 greater than 850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c + 3. Let z be f(0). Let k(h) = -h**3 + 5*h**2 - 4*h + 1. What is the units digit of k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 273*x**2 + 12000*x - 567. What is v(55)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5 = -3, -141*o - 142*o - 134*o + 413*o = -2*j + 42 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -0.003274\nAnswer: -0.0029466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/264 and 69\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -157, -247, -337?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3. Let v(n) = -3*n**3 + 1. Let a be v(1). Let o(m) = -7*m**3 + 4*m**3 + 4*m**3. Give a*o(s) - u(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34237789.\nAnswer: 34237789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, -4, 1\/4, 21, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*((-10)\/(-6))\/(5175\/2484). Put -2, -1, s in descending order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689*-183.\nAnswer: -126087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 74 - 388 = -47*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose -4*k = -5*c - 238, f*c + 120 = 4*k - 2*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b54a - bd?\nAnswer: 8b47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-175)\/(-10))\/7\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 + 1) - -11) + 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135511 is divided by 60.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -195.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -183 - -8?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*l + 6 = -0*d, -4 = 3*d - 5*l. Let f = 11 - d. Suppose 132 = -c + f*c. Calculate the greatest common divisor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in -0.1, -4, -0.4, 33, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02191588 rounded to four decimal places?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 3. Let h be x(5). Suppose -3*l = -3*t - 192, -l - h*t + 72 = -5*t. Calculate the highest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 72 = -q + 4*q, 3*r + 3*q - 90 = 0. Suppose -19 = -2*c + r. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.02, -6, 2.3, 5, -6811.\nAnswer: -6811, -6, -0.2, -0.02, 2.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - i)*(2 + 3 + 16).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216069930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1292 (b) -4 (c) -1 (d) -2 (e) 4 (f) 1258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 1520012 - 8320012. Round x to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -2*(-2*sqrt(2548) + 0))*3.\nAnswer: -6 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - 2*z**3\/3 + 2*z**2. Let s be k(6). Solve y = -y - d - 6, d - 6 = s*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 35211.37 kilometers?\nAnswer: 3521137000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.03582 + -0.03582. Let k = -16 - -16.1. What is the nearest to k in q, 2\/11, -4, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 267480.783 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 4*d**2 - 7*d**2 + 2 - 50*d**3 to z*d**2 + i*d + g*d**3 + t and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 3*r**2 - 4*r**2 - 8*r**2 + 5*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540195 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 657\/4 in 171.7, -2, -1\/5?\nAnswer: 171.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.2, -4, 0.802, -0.48, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46510 at least 46500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230.54 + -233. Round w to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 10:08 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3392425180 to the nearest one hundred thousand.\nAnswer: 3392400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -604, -32, 3 in ascending order.\nAnswer: -604, -32, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*a**4*j**3 - 22*a**4*j**2*l - 2*a**2*j**2 - 639*j**3 - 4*j**2*l wrt a.\nAnswer: -6048*a*j**3 - 528*a*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t - 5. Let a(h) = -1256*h + 2474*h - 4 - 1228*h. What is -3*a(o) + 2*d(o)?\nAnswer: 12*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*0\/(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*m**2 + 19084*m + 56208.\nAnswer: 4*(m + 3)*(29*m + 4684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 5:29 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o = -48. Let b = 15 - o. Solve -2*g - b*y = -7, 18 = 2*g - 5*g + 5*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.9 - 9.8. Which is the nearest to r? (a) 12\/17 (b) 3\/8 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*s + 991459 = 989851 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(3 - 3 - 4)*(27*m - 63*m + 33*m + 24).\nAnswer: -24*m + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-96)*4)\/((-17)\/(-748)). Solve 133 = -8*k - r*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11118, 11046, 10928, 10764, 10554?\nAnswer: 10298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o**3 + 8*o**2 - 5*o. Let c(q) = 18*q**3 - 7*q**2 + 4*q. Determine -5*c(v) - 4*p(v).\nAnswer: -14*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*f - 6902 = 0, 4*f = -2*c + 2329 + 1107. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -897525.\nAnswer: -1\/299175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p**4 + 0*p**3 + 0*p**5 - 1\/840*p**7 + 0*p + 2*p**2 + 1\/480*p**6 + 0. Find g, given that b(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(1 - (-15)\/(-6)). Let n = b - -14. Suppose n*a - 21 = 2*p + 22, 0 = 4*a + 5*p - 41. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrtttttttttttrttt. Give prob of picking 1 r and 3 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/24 + r**5\/6 - 15*r**4\/8 - 15*r**3 + 3*r**2 - 18. Let h(f) = 0. Calculate f.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = 5*q - 3*q, 2*g - 52 = 4*q. Do q and -13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c - 38 + 95 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**(-1\/27)*(u*u**16\/u)\/(u*u\/(u\/u**(-2\/11))*u*u) assuming u is positive.\nAnswer: u**(11723\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/5 + 13459*d**3\/5 + 858237*d**2\/5 + 12816837*d\/5 - 5834862 = 0.\nAnswer: -13395, -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002379139 to six dps.\nAnswer: 0.002379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123734 and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*x + 11074*a**2 + 16249*a*x + 2*a + 3717*x - 67367 wrt a?\nAnswer: 2*a*x + 22148*a + 16249*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**2 + 9*v - 9*v - 3*v**2.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69925 is divided by 11620?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31769401?\nAnswer: 2447, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 15281.\nAnswer: 3\/15281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*z - 5*k, -24*z + 29*z - 2*k = 44. What is the highest common factor of z and 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-3 - -2)\/(-1). Suppose g + 636 = 632. Put -1, g, 2, s in increasing order.\nAnswer: g, s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21324 times 18.412\nAnswer: 392617.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*g + 108, -i + 4*i = -2*g + 96. Let z be ((-108)\/(-16))\/(i\/16). Factor z*y**2 - 22\/5*y + 4\/5.\nAnswer: 2*(y - 1)*(9*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45409 minus -2599.995?\nAnswer: 48008.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y**(-2\/5))\/y)*y*y**(-2)\/y assuming y is positive.\nAnswer: y**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from igq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let o(a) = a**2 - 2*a - 5. Let w be o(4). Suppose 0 = 4*z + 3*r - 41, 4*z = j*r - w*r + 43. Calculate the remainder when 20 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27777190*v**3 - 13888606*v**3 - 13888600*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.86012*91\nAnswer: -78.27092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*-14 - 1*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 23. Calculate q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - 2 - -3 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 8 = -4*p + 2*b, -2*b - 4 = 4*p. Let z be (-4)\/30 + 3 + p. Let d = -98\/165 - 4\/55. What is the second biggest value in z, d, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from iieveviiyovesv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 58*u + 313. Let h(c) = 20*c + 104. Let v(w) = -3*a(w) + 8*h(w). Is 13 a factor of v(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1717449, 94.\nAnswer: -1717449, -3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 75790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -1 + sqrt(300) - 2*(sqrt(300) + sqrt(300)*1)))**2.\nAnswer: -1500*sqrt(3) + 67525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 4*b - 2*b**5 + 3*b - 2*b**5 - 3*b + (-b - b + 0*b)*(2*b**2 + 2*b**4 - 2*b**2) - 3*b**5 + 2*b**5 + 0*b**5 + 96*b**5 - 576*b + 576*b.\nAnswer: 87*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1372) - sqrt(1372)*-2 - sqrt(1372))*-6)**2 + -5 - ((4*-1*sqrt(448) - (-4 + -2*sqrt(448))**2) + 5).\nAnswer: 160*sqrt(7) + 199366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, -3, -2\/15, 0.3, 17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1700) - (sqrt(1700) - 1*sqrt(1700))**2) + sqrt(1700))*-1 + 5.\nAnswer: -20*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjhjhjlwmwjjlhw. What is prob of picking 1 m, 1 l, and 1 j?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -5*h, 2*h = q + 2. Solve -2 = -2*b - h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1076*b*v + 2031*b - 249292*v - 10088 with respect to v.\nAnswer: -1076*b - 249292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 9*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + l**3 - 6 + l**2 + 7 in the form m*l + s*l**2 + b*l**3 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2 + 78 - 26 - 10 - 29 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1555918024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -40.4419.\nAnswer: 20.22095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*w)*(5*w + 2*w + 0*w) + 3*w**2 - w**2 - 3*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444751.5242 - 444712.12420181. Let y = f - 39.4. Round y to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let l(v) be the second derivative of 0*v**3 + 10*v + 0 + 0*v**2 + 7\/12*v**4. Calculate l(a(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 1, v: 1, h: 3, m: 1, l: 1}. Give prob of sequence usms.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqwyenw. Give prob of picking 1 q and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 110*k**2 + 408*k + 1837. Determine i(106).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3363\/885 - 1\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15718794.\nAnswer: 2, 3, 7, 13, 28789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2 - -1*23. Suppose 0 = 2*n - 7*n - 3*i + 22, i = -5*n + 24. Suppose n*l - 4*t - 40 = 0, -3*l + 2*t + 20 + 2 = 0. Solve 0 = l*s - 4 + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4481, 4478, 4475, 4472, 4469?\n\"Answer: -3*p + 4484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402020419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:55 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -651 <= 5\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38728, 38748, 38772, 38800?\n\"Answer: 2*y**2 + 14*y + 38712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 409 = -16*l. Solve -28*a - l = -23*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 6 + 930*x + 4 + 4*x**2 - 6*x**2 - 925*x. Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428113 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.084 (b) -0.1 (c) 2 (d) -3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/(-14) + 5\/(-35). Suppose -2*g - 13 = -g + 4*t, 3*g - 25 = 4*t. Put g, p, -3 in descending order.\nAnswer: g, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**4 - 1836*v**2 + 32655*v?\nAnswer: -60*v**2 - 3672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146232, -289685, -433138, -576591, -720044?\n\"Answer: -143453*b - 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 75\/20)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162, -338, -516, -696, -878, -1062, -1248?\n\"Answer: -h**2 - 173*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let f(w) be the third derivative of 1\/30*w**5 + 0*w**4 + 0*w + 0 - 11*w**2 + 0*w**3. What is m(f(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -5693 and 2.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1954*y - 780. What are the prime factors of p(6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -3*k + 3*h, 3*k - h = -6. Let u = 3 + -2.5. Sort 0.4, k, u in descending order.\nAnswer: u, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1975*p + 2960. Let q(n) = 282*n - 422. Let l(o) = -20*q(o) - 3*u(o). What is the derivative of l(y) wrt y?\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 4*o**3 - o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 7. Let m(s) = 5*s + 6. Let l(p) = -7*m(p) + 6*w(p). Let k(h) = -h**2 - 7*h. What is -k(d) - 5*l(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 3, c: 1, p: 12, w: 1, x: 1}. What is prob of sequence cj?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-4)\/((-24)\/15). What is the second derivative of s**p + 3*s + s**5 - 4*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.192809 meters?\nAnswer: 9192809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -47372*h + 94615. What is n(2)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/(-27)*15\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48627957, -97255915, -145883875, -194511837, -243139801, -291767767?\nAnswer: -340395735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/7)\/(12\/30). Which is the second smallest value? (a) g (b) -5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19689 + 236125\/12. Find the common denominator of 13\/13992 and b.\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1038.0715 to the nearest integer.\nAnswer: -1038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7679954 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250776001 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220284121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 626 = -373. Let d be 2 + 0 - (0 + -7). Suppose 0 + d = 3*c. Calculate the smallest common multiple of k and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2. Let k be (3 - (-2 + 13 + -6))*-1. Let l(v) = 15*v**2 + 33*v**k - 2*v - 49*v**2. Calculate l(u(p)).\nAnswer: -9*p**4 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - 15*m + 24. Determine l(4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. Let q be i(-7). Suppose -3*o + 5*j + 1 = -5, -o + 2 = -q*j. Suppose 1\/3*m**o + m + 2\/3 = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 560 and 680?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-495))\/(18*(-15)\/(-8505))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/((2 - 232\/(-168)) + -3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5862.299 + 5862. What is the smallest value in v, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b. Let g = -224 - -226. Let a(d) be the second derivative of 0*d**g - 1\/6*d**3 + 0 + 2*d. Determine t(a(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.4 + 20. Let g = y - -4. Let z = 148 - 1181\/8. Put g, z, 4 in increasing order.\nAnswer: g, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182.092275 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5432 divided by -3.\nAnswer: -5432\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/8809655?\nAnswer: 6\/8809655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/6, 0.5, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.09297kg to micrograms.\nAnswer: 15092970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4014.906 hours to days.\nAnswer: 167.28775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(95) - sqrt(95) - sqrt(95) - sqrt(95))\/(-6*2*sqrt(5)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3193 - 3.6807. What is the nearest to -2\/5 in r, -417, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44823334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5902 - 4*x**2 + 6*x**2 - 730 + (6 - 3 - 1)*(x**2 - 4*x**2 + x**2).\nAnswer: -2*x**2 + 5172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 496706160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -25*i**4 + 585*i**3 - 1265*i**2 + 75*i + 630 = 0?\nAnswer: -3\/5, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 162\/5*u**2 + 42\/5*u**3 + 12 + 174\/5*u - 6\/5*u**4 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 39*j + 37 - 1389*j)*(0*j**4 + j**4 + 0*j**4).\nAnswer: -1428*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 at least as big as 1.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1*sqrt(243) + -4 - sqrt(243))**2 + (sqrt(243)*3)**2 + -3.\nAnswer: 72*sqrt(3) + 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/6 and 47\/5308.\nAnswer: 15924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - -1*(-2 + 4). Suppose -2*n = p*g - 20, 5*n + 10 - 106 = -g. What are the prime factors of 1\/3*(n - -157)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856623 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/26)\/1 + (-84)\/(-546). Let t be -2 + 1 - 2\/(-2). Suppose 3*l - 7 + 19 = t. Sort l, 5, x.\nAnswer: l, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 50669*s = 0 for s.\nAnswer: 0, 50669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*m. Is (m - 1)*(-9 - 1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = 2*q, 2*q = 3 + 3. Let b = 0.05 + 4.15. Let c = b - 1.2. What is the nearest to -1 in -1\/3, c, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(4020\/40)*-6?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hebbbqwqelhblw. What is prob of sequence bbw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.5706987 rounded to zero dps?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3362 (base 9) to base 2.\nAnswer: 100110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111020110211 (base 3) in base 15?\nAnswer: -109a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3 - 13 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -743 * 58782\nAnswer: -43675026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**3*y**2 + 234407*q*y**2 + 272*y**2 + 316*y with respect to q.\nAnswer: -9*q**2*y**2 + 234407*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -446898*s + 10719*s**2 + 446898*s. Let v(n) = n. Determine g(v(a)).\nAnswer: 10719*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*n + g - 105, 76 = -3*n - 5*g. Let j = -16 - n. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z + 54 = 33*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -314, 1, 2 in descending order.\nAnswer: 2, 1, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1485.857895 - -682.858582. Let w = -803 - o. What is w rounded to five dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 20 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 + c + 7 - 10 + 15. Let i(r) = 3*r. Give i(w(x)).\nAnswer: 3*x + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6\/5)*u**0*((u**(-9\/4)*u)\/u)\/(u\/u**8*u*u) assuming u is positive.\nAnswer: u**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -28*m**3 + 6*m**2 - 1880*m. Let k(s) = 10*s**3 - 2*s**2 + 3*s. Give 3*k(y) + t(y).\nAnswer: 2*y**3 - 1871*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/7 - 18*j**2\/7 - 52*j\/7 - 48\/7 = 0?\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 + 201*g + 51. Determine p(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1442, 2893, 4358, 5843, 7354, 8897, 10478?\n\"Answer: q**3 + q**2 + 1441*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.5 (c) -75 (d) -0.04 (e) 8 (f) -32 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 36 + 45*w + 73 + 80 + 75.\nAnswer: 45*w + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1594 - -1709. Suppose 3*v - 5*v = -228. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -417238 <= -2920665\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 - 548?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6\/6 - 51*g**5\/2 - 1165*g**4 - 24745*g**3\/3 - 36015*g**2\/2 - 354*g. Factor f(l).\nAnswer: -5*(l + 1)*(l + 3)*(l + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3020*j - 5. Let w(q) = 751*q + 1. What is 9*w(h) + 2*y(h)?\nAnswer: 719*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.88, -36, 0.42, -5, 4 in decreasing order.\nAnswer: 4, 0.42, -0.88, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 - -0.04. Sort -0.05, y, -0.1, 4 in descending order.\nAnswer: 4, y, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 57. Suppose w = 4*z + 20 - 60. Let s(f) = -f**2 + 7*f + 3. Let m be s(7). Solve m*d - z = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-1\/2))\/y)\/y)\/y)\/(y\/(y*y**(-5)*y*y))*(y*y*y*y**1\/y)**(2\/23) assuming y is positive.\nAnswer: y**(-241\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37223611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by 6\nAnswer: -221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 5*q + 4. Is w(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 81, 216, 427, 726, 1125, 1636, 2271?\nAnswer: 3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:29 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771315.\nAnswer: 3, 5, 51421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/7 (b) -0.5 (c) 535 (d) -0.4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + -111414?\nAnswer: -112133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:17 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7089388.\nAnswer: 2, 317, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32a - -1?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -0.25. Suppose -4*a - 104 = -5*z, 4*a - z + 82 + 6 = 0. Let t be (2 + 33\/a)\/(-1). What is the second biggest value in t, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 19*u - 570. Calculate h(18).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 2*z - 1. Suppose 3*x + 1 = -2*h, 4*x + 26 - 6 = 0. Let m = -2 + h. Suppose m*g = 2*a - 12, -5*a - 4*g - 3 = -0. Calculate t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*g - 1349, 0 = -4*a + 3*g + 451 + 629. Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910126?\nAnswer: 2, 7, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 21, 5, -1, -5715.\nAnswer: -5715, -1, 1, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 492505*u - 492435. What is p(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 + 2*o**3 + 21 - 166 - 111*o**2 + 213*o**2 - 109*o**2 to n*o + w*o**2 + b*o**3 + p and give p.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - (-1 + 12)) + (0 - -5) + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 901 - 901.000011605. Round q to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 + -0.15. Which is the biggest value? (a) o (b) 2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 4 (c) -7 (d) 16 (e) 50.3 (f) -2 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 0, -42 = -5*k + 3*l + 121. Suppose -9*n = n - 40. Calculate the greatest common factor of n and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3109, 12409, 27835, 49327, 76825, 110269?\n\"Answer: -10*y**3 + 3123*y**2 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*h - 50. Suppose -12*u + h*u = -69000030. Let p be u\/25 - 6\/10. Round p to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**3 + 16*m**2 + 3*m + 21. Let l(t) = 5*t**3 - 8*t**2 - t - 11. Let c(v) = -11*l(v) - 6*y(v). What is c(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, q: 2, p: 7}. What is prob of picking 1 p, 2 n, and 1 q?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.58 - 0.58. Let j = -1 + 0.6. Let y = j - -0.6. Sort -4, f, y.\nAnswer: -4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15404 = 3*w, -3*w + 100*g - 99*g = -15424. Is w a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = -25. Let j be (2\/v)\/(800\/24). Let f = j + 20609\/1200. What is the common denominator of f and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 18 - -2 - (-237 - -237)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -2, 0 in increasing order.\nAnswer: -81, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -285*u + 24. Let k(n) = 3*n - 1. Let f(r) = a(r) - 4*k(r). Differentiate f(t) wrt t.\nAnswer: -297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 z when four letters picked without replacement from uziziiwiuwz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**6 + 4*u**5\/5 - 2*u**3\/3 - 41*u - 27. Find the third derivative of j(l) wrt l.\nAnswer: 360*l**2 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23373 by -9.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.682284 meters in nanometers?\nAnswer: 9682284000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 188.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85a0 (base 11) to base 3\nAnswer: 120120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/4 - 401*g**2\/2 + 7145*g\/4 - 1586 = 0.\nAnswer: 1, 8, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*b = 10*z - 73335, 20953 = 2*z - b. List the prime factors of z.\nAnswer: 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 0*i - 8*i + 2177 - 1030 - 1080.\nAnswer: i + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b*((b**(-5)*b)\/b)\/b)\/b))\/b**(1\/3))\/(b**(-1\/3)*b\/(((b**(-7)\/b)\/b)\/b)))**25)**23 assuming b is positive.\nAnswer: b**(-2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2953 + 2964. Let q = 50 - -4. Calculate the remainder when q is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 2, m: 5, c: 3}. What is prob of picking 1 w, 1 i, and 2 m?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658 - -690. What is the remainder when 189 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 8}. What is prob of sequence usss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-2\/7)\/(q**(-1))**(-4))\/(q**(5\/4)\/(q\/(q*q\/(q\/(q**(-4)*q))*q)*q))**50 assuming q is positive.\nAnswer: q**(5837\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/117 in 6, -0.4, 31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9068 is divided by 3001?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-18))\/((-1)\/((-9)\/(-12))). What is the nearest to -1\/4 in d, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180022 + 178703.13. Round l to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:27 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 116\/3. Suppose 0*h + 5*h - 2*u = -14, 16 = -3*h + 5*u. Which is the nearest to -1? (a) 0.05 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f + 70 - 790 = -119*f. Put f, 0, 5, -16, -5 in decreasing order.\nAnswer: f, 5, 0, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.3. Let p = -444116 - -444115. What is the closest to p in -5, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.5. Let h = 9577 - 9577. Which is the nearest to h? (a) -15\/8 (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 271 = 5*i - 254, -m - 4 = -5*i + 7*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168544043 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500756, -500834, -500912, -500990?\nAnswer: -501068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.44, 0.4, -4, -2, 0.0005, -0.4?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 15) to base 11.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1038899039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 430304011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - (-15 - -15)) + -36 + 62?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 - 19684*c - 2110920 = 0.\nAnswer: -105, 5026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -88.4. Let y = -10 - -6. Which is the nearest to 1? (a) z (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -14406.\nAnswer: 5\/14406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*2*(-98055)\/90 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/21)\/(-2) + 12\/(-28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57 + 29 - 9*y**2 - 6*y**2 wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 32867136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*106\/(-371)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 53443.49 days?\nAnswer: 4617517536000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let g(b) be the first derivative of -2\/3*b**3 + 0*b + 0*b**2 - 3. Give k(g(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u - 2*q = -4, u = -5*q + 17. Let g(b) be the second derivative of 1\/9*b**4 + 0 + 0*b**2 - 1\/9*b**3 - u*b - 1\/30*b**5. Factor g(h).\nAnswer: -2*h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p = 44*p - u + 6, -2*u - 2 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 97*u**2 + 6*u + 15. Let w be n(-3). What is the highest common factor of w and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 4 - 3. Let g be (0\/(-3 - -1))\/l. Let j be g + 3 - 0 - 3. Solve -2*h = -5*p - 11, j*p + 3*p = 2*h - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(1\/60)\/(m*m*(m*(m\/(m**0*m))\/m)\/m*m)**(-1\/34) assuming m is positive.\nAnswer: m**(197\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26666 (base 7) in base 13?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*b**4 + b**2 + 4 + b**3 + 15*b - 3*b - 5*b - 9*b as l*b**3 + j*b**2 + w*b + c + d*b**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*r + 10, -3 + 12 = 4*s + 3*r. Let x = -189179\/6 + 31530. Which is the closest to -1\/4? (a) x (b) -0.4 (c) -1\/12 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(36) - -1*sqrt(36))*5)\/sqrt(12))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let u be 25\/(-4) + 4\/16. Let v be (-290)\/(-75) - u\/45. Solve 2*p - f*p = v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1235\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.4. Let w = 2 - 1.8. Let p = w + 0. Put p, 4, r in increasing order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 411?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59985 or 59994?\nAnswer: 59985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0 - (5 - (7 - (4 + -2))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13854321?\nAnswer: 3, 13, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - i - 1. Let c be (2\/6)\/((-8)\/96). Let t be v(c). Suppose -t*f + 394 = -0*f - z, -2*z + 409 = 3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617a (base 11) to base 14.\nAnswer: 2db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 3*m + 6. Let u be z(9). Suppose -u = -5*y + 3*y. Let t be 132\/y - 4\/10. Solve a + 17 = 2*x + 4, -2*x - t*a - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.84, -1, -2\/39, 0.5, 7, 5.\nAnswer: -1, -2\/39, 0, 0.5, 0.84, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221002210 (base 3) in base 8?\nAnswer: -160502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - 400. Suppose 4\/17*u**h - 2\/17 + 2\/17*u**5 + 6\/17*u**4 - 6\/17*u - 4\/17*u**2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -855 - -871 - (-1 + 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p - 4*p)*(156*p**3 - 1410*p**3 + 266*p**3).\nAnswer: 2964*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-5 - 184\/(-36)). Let v(r) = r - 5. Let f be v(-7). Let l be (m\/f)\/((-15)\/24 - -1). Solve 2*i - j - 8 + 0 = 0, -5*i = -2*j - l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 6*u + 4. Let r be x(-6). Suppose 5*f - 3*f + 5*q = 44, 5*f + r*q - 110 = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y = 36828 - 37627 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 2*y + 2*y + (2 - 6 + 2)*(y + y - 4*y) + (-3*y + y + 3*y)*(-3 + 3 - 2) in the form s + h*y and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + ((sqrt(2448) - sqrt(2448)*2 - (sqrt(17)*2 + -2))**2 - (sqrt(85) + sqrt(85) + -1*2*sqrt(85) - sqrt(85))\/sqrt(5)).\nAnswer: -55*sqrt(17) + 3343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -28213?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90\/23 + (-1 - 25\/(-23)). Let g be ((-35)\/(-4620))\/((-2)\/p). Let z = 0 - 1. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) -1\/5 (d) -0.4 (e) 0.06433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/9 (b) -5 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:07 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -391 - -468. What is the remainder when z is divided by ((-78)\/9)\/(2\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -13*b + 7. Sort b, -4, -5, -49.\nAnswer: -49, -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/36561 or 18\/949?\nAnswer: 18\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -699890*a**5*v**2*x**3 - 18*a**2*v**2*x**2 + 8*a**2*v**2*x + 4*a*v*x**3 - 3*v**2*x**2 - 12*v*x**3 wrt a.\nAnswer: -41993400*a**2*v**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33, -66, -99, -132?\n\"Answer: -33*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -796. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22 + -12)*(-1)\/8)\/((-8)\/(-32)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/2, -0.01, -15952?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*((-35)\/14)\/(-5). Let a = 0.9 - -0.1. Let y = a - 0.5. Sort t, 0.1, y in decreasing order.\nAnswer: t, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279866 = 36*a + 12854. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(539) - (-2*sqrt(539) + -2))**2*1.\nAnswer: 392*sqrt(11) + 8673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9563*a - 283102 = 434123 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0196 less than -7.27?\nAnswer: -27.2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5081824 and -57\/19634320.\nAnswer: 431955040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 5*v - 67. Put 15, 5, 2, v in increasing order.\nAnswer: v, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*s + a, 15*a - 12*a = -12. Sort 1, s, -90 in increasing order.\nAnswer: -90, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 32.49.\nAnswer: 32.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/20 and (-4)\/10 + (267\/(-120) - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 351, 792, 1419, 2238, 3255?\n\"Answer: n**3 + 84*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6, -4*s - 7 = -2*j + 9. Let k = j + 0. Solve -2*w = -1 + 5, -2 = -k*a + 3*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/80)\/((740\/(-1200))\/37)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 + 9*t + 7. Let z be b(7). Is ((-1346)\/(-8))\/((-7)\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/123)\/((-3)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 23*g - 8. Let p be j(-17). Let v = p - 10747\/16. Calculate the common denominator of 5\/246 and v.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489183 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 141432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 184*n + 1288. Calculate d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -759022272 divided by 234846\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -370 + 388. Let h(p) = -p**3 + 19*p**2 - 16*p - 32. Let s be h(m). Solve 12 + 8 = -s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 587, 601?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/29))**(-27)*d**(1\/2)\/d*d*d**(-11\/5) assuming d is positive.\nAnswer: d**(47\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**3 - s**4 + 4*s**4 - 7 + 9*s - 34*s**3 + 1 + 3*s**2.\nAnswer: 3*(s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + -2*4\/8. Let t(x) = 3*x - 11. Let z be t(7). Let g = z + -9. Solve 0 = -n*q + q - g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + g - 4*g - 9 = 0, g = -2*q + 17. Let j be q + 22*(-6)\/24. What is b in 1\/2*b - j*b**5 + 0*b**3 + b**2 + 0 - b**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 21. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 - 10)*(s - s - s + (0 + 23 - 4)*(-3*s - 3*s + 5*s) - 3 - 2*s + 3).\nAnswer: 418*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0 (b) -13 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874687779?\nAnswer: 3, 643, 1069, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*f = 0, -5*q = 4*f - 2 - 38. Let d(c) = -3 + 5 - c - q + 4. Let i = 10 + -3. Determine d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(9)*-1) - sqrt(7) - (2 + (sqrt(7) + 0 - sqrt(7))))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -954 + 958. Solve -y*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 2*q + 10, 0 = -2*q. Let x be (-4)\/(-2)*(g - 0). Let m(l) be the third derivative of -l**6\/120 + l**5\/20 + l**4\/6 - l**3\/6 - l**2. Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 2*s**2 - 210 - 2*s**3 - 8*s**2 + 165*s - 27*s + 88*s.\nAnswer: -2*(s - 7)*(s - 1)*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:21 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**4\/4 + 7*m**3\/3 + 5*m**2\/2 + 9*m + 5. Let p be q(-6). Solve -5*u = -10*u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26955 * 0.2\nAnswer: -5391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -13 - (-5 + 9 + -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 634072*x - 634072*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2026476 and 23\/36476568?\nAnswer: 36476568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/149 or 428037?\nAnswer: 428037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 5, p: 1, e: 1, v: 2}. What is prob of sequence emqq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + o - 140*o**3 - 131*o**3 - 140*o**3 + 3*o**4 + 16*o**2 + 409*o**3 as c*o**3 + m*o**4 + s + g*o + u*o**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503765, 1007373, 1510981?\nAnswer: 2014589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 115*s**6\/3 - 6*s**5\/5 + s**4\/4 + 585*s**3 + 2*s**2 + 34. What is the third derivative of a(b) wrt b?\nAnswer: 13800*b**2 - 144*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2897, -5740, -8583?\n\"Answer: -2843*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:59 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 107336 + 19874 = 0. Suppose 3*m - m - s = 0. Let k = m - 7829. What is k rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(28)*-4)**2 + sqrt(7)*-2 + 2 + -4.\nAnswer: -2*sqrt(7) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 1.5. Is -7 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4428*x = -4420*x - 8. Let i(a) be the third derivative of 59*a**5\/30 - a**4\/24 - a**3\/6 - a**2. What is the tens digit of i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.539 greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551816 is divided by 760.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 95 = -2*d, 135 = 2*d - l + 6*l. Let s be 15\/(-6)*4\/d. Let a = 312.8 + -312.68. Sort a, 5, s.\nAnswer: s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 213*t\/2 - 106.\nAnswer: -(t - 212)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3794948 is divided by 1814.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.059 - 0.059. Let i = -1.97 - 0.03. Let y(x) = x**2 + 6*x + 6. Let m be y(-5). Which is the closest to w? (a) -5 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504518823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -774, -512, 290, 1710, 3826, 6716, 10458?\nAnswer: 15130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 2*m**5 + 3*m**5 + (0 + 2 - 1)*(0*m**5 - 5*m**5 + 3*m**5) + 16*m**2 + 4*m**5 - 9*m**2 - 8*m**2.\nAnswer: 4*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 290945?\nAnswer: -290945.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y**4 - 3*y**2 + 0*y + 1\/5*y**5 + 0*y**3 - 3. Find the second derivative of g(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o**3)*(-3*o - 4 + 0*o + 6*o).\nAnswer: -3*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-10))\/((((-75)\/5)\/2025)\/((-1)\/(-6)))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose -w = -t*w. Suppose w = -4*f + 39 + 77. Solve -3*z - f + 3 = -4*r, -3*r = 5*z - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/21 + (-3 - (-46)\/6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*w**2 + 20*w - 20*w)*(0 + w + 0 + (1 - 4 + 1)*(-w + 0*w + 2*w))*(-2*w + 0*w - 5*w)*(-1 + 0 + 2).\nAnswer: -280*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8266 or 8262?\nAnswer: 8262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -788 + 325. Let t = -464 - q. Let p = -9\/8 + 3\/2. Which is the second smallest value? (a) t (b) 2 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (169\/(-26))\/(2\/(-4)). Solve 3 = -5*j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b**(1\/4)*b)\/b))\/b)\/b)**(-19)*b**(-1\/5)*b**1 assuming b is positive.\nAnswer: b**(491\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4815*w**3 + 4741*w**3 - 9669*w**3.\nAnswer: -113*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 14 = 3*x, 2*x - 4*z - 5 = 7. Suppose 0 = 3*q - x*q. Suppose q = -3*g - 3*p + 24, 1 = -g - 5*p + 13. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 134, 273, 486, 791, 1206, 1749, 2438?\nAnswer: 3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20238 and 5.\nAnswer: 101190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*d - 313. Suppose 59*y = 63*y - d. Find k, given that y*k**2 + 4*k**3 + 5*k**2 + 55*k - 19*k = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6baba (base 15) to base 11.\nAnswer: 214a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-8))\/(3086\/12344). Let a(x) = -2*x**3 + 5*x**2 + 11*x - 2. Let i(g) = 5*g**2 + 5*g - 1 - 3*g**2 - g**3 + 0*g**2. Calculate y*i(n) + 2*a(n).\nAnswer: n**3 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 656*j. Let u(t) be the first derivative of -t**2\/2 - 274. Give u(b(g)).\nAnswer: -656*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274682382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-123 - -70) - (2\/7 - (-2280)\/(-42)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b + 0*b)*(117 - 63 + 74).\nAnswer: -256*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (13 + (-22 - -10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)*c**19 assuming c is positive.\nAnswer: c**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 14*b**5\/3 - b**4\/6 + 595*b**3\/6 + 1429*b**2. What is the second derivative of s(p) wrt p?\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2*r**5\/5 + 2*r + 15. What is the first derivative of v(s) wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 5*p**3 - 5*p**3)*(3*p - 5*p + 5*p)*(17 + 4 + 8).\nAnswer: 348*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**2)**(-17)*(r**(1\/5))**21 assuming r is positive.\nAnswer: r**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-188))\/(((45\/35)\/(-3))\/((-652)\/1141))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22*p**2 - 15*p + 99. Does 9 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/3 (b) -4 (c) 1 (d) -32\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) + 2*2. Suppose 5*o - 28 = 3*o + c, -b*o + 4*c + 67 = 0. Let y be (-3)\/15 - (-33)\/o. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4552 times -4\nAnswer: 18208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 803876*c**2 - 856*c + 7 wrt c.\nAnswer: 1607752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1745 + -5165. What is the hundreds digit of (2\/(-6))\/(4\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25103 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/100 and 13\/1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 710187*f + 4971358 = 0. Calculate f.\nAnswer: -7, 710194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2734026 - 483458. Let d = -140568 + k. What is d rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -13\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/3)\/(9\/3). Let f(d) = -2*d - 7. Let y be f(-6). What is the second biggest value in p, y, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 287.2349848031 + -0.2349873331. Let x = q - 287. What is x rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 126152894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757453144.\nAnswer: 2, 7, 181, 74729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let i be (-3)\/(3*(-1)\/t). Suppose -i*c = -c. Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 - 19 + 4 + 3*a.\nAnswer: 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2 - 1)*2. Let m be (3 - 0) + (3 - 1). Let c be 1*(2 - (-30)\/(-14)). Sort c, q, m.\nAnswer: q, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4352969 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0014*0.3\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918675.5g to milligrams.\nAnswer: 918675500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, -2\/3, -0.3, 2, -3 in ascending order.\nAnswer: -3, -2\/3, -0.3, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, v: 4, m: 4}. Give prob of sequence mgg.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -2*s**7\/315 - s**6\/90 - 4*s**2. Determine i, given that f(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4109*g - 815*g - 3282*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - s + 2 + (1 + 0 + 2)*(3 - 3 - 3*s) + 2*s + 0*s - s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120 and 84.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013935 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21230, 21228, 21226?\nAnswer: 21224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87540208 divided by 2737?\nAnswer: 31984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9733990*w**2*x + 424740*w**2 wrt x.\nAnswer: -9733990*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 2, e: 2, y: 2}. What is prob of sequence yhye?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 2*z + 0*z**2 - 2*z**2)*(-2*z**3 - 4*z**2 - 3*z**3 + 7*z**3).\nAnswer: 4*z**5 - 4*z**4 - 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -123*c. Let n(v) = -50*v. What is n(m(u))?\nAnswer: 6150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 156*l**2 + l. Let k(h) = 300264*h. Calculate k(t(c)).\nAnswer: 46841184*c**2 + 300264*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-90)*(-9)\/3*9\/(18\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 592*o + 3587. Give a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04511 in -0.3, 1.2, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-950)\/75)\/38*110\/(-5)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.76 - -1.9. Let k = a + -0.04. Let f = 3\/8 + -9\/8. Put k, 0.5, f in decreasing order.\nAnswer: 0.5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, s: 1, l: 3, p: 4, z: 4, v: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, 5 in decreasing order.\nAnswer: 62, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*l**2 - l - 163?\nAnswer: 60*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 109*w - 23 = -108*w, 99 = 5*q + 3*w for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-148 - 1)*6\/(-2)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 3. Let k be t(-2). Let h = k - 15. Let q(p) = -865 + 30*p + 436 - 28*p + 435. Calculate q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/4256)\/(16\/(-224))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 6331055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 269+-9\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15074 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 641520 and 281880?\nAnswer: 18604080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33747 - v - 33738 + 67509.\nAnswer: -v + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3*s**5\/40 + 5*s**4\/12 + 3*s**3\/4 - s**2 + 20*s. Factor a(p).\nAnswer: -(p - 4)*(p + 1)*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 - 8*a + 3. Let p be k(2). Let y(m) = 74*m**2 - 11*m - 9. Let w be y(p). Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-43)\/215)*(-6)\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994548300.\nAnswer: 2, 3, 5, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 10) to base 7.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 - d - 6. Let z be i(-6). Suppose 5*u - 3 - 7 = z. List the prime factors of (-22 - u)*2\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*z**2 - 4123676*z + 549824.\nAnswer: -2*(z + 137456)*(15*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hqrrhqfhvfqqqqbbrfr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {i: 7, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 1. Let d(m) = -m + 1. Let x(z) = 6*z - 6. Let b(u) = 22*d(u) + 4*x(u). Calculate 3*b(i) + 4*o(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnl when three letters picked without replacement from qlqqlnnqnqllnqqqq?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001469603217 rounded to 6 dps?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -12. What is the closest to 2 in d, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1012434 and 2889?\nAnswer: 9111906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -adb (base 15) in base 6?\nAnswer: -15212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007881 a multiple of 909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-12) + 1\/4. Let j be 4 + -5 + 8*l. Let n = -3 + j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 27 = l, l - 6*l = -3*z + 8. Suppose 0 = -z*s + 17*s - 468. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c**2 - 3*c**2 + c**2. Let i(w) = -47*w - 5. Let q(a) = -26*a - 3. Let d(g) = -3*i(g) + 5*q(g). Calculate k(d(t)).\nAnswer: -242*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.38*-0.02.\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, o: 3}. Give prob of sequence zooo.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 542 + -553. Calculate the common denominator of 29\/7 and 9\/(-594)*1264 - (-2)\/v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149460 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*c - 77. Let j = -38 - c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155230 rounded to the nearest one thousand?\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 147\/294 + 2 + (-70)\/(-4). Calculate the greatest common divisor of 28 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*r + 0 - 2\/3*r**3 - 2\/9*r**4 - 2\/3*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 51545.\nAnswer: -1\/51545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -72.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -65*z**8\/8 + 793*z**4\/12 + z + 412. Find the third derivative of o(y) wrt y.\nAnswer: -54600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11196 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-40)\/30*3\/19)\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(264)\/sqrt(6))**2*4 + sqrt(44))*2.\nAnswer: -1408 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -281271, -281270, -281269, -281268, -281267, -281266?\n\"Answer: d - 281272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:35 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6462 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2.757, -11\/2, 3\/4, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270 + 659 - 3437 = 184*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 15*n + 2. Let a be x(17). Let z = a + 53. Let m = z - 21. Solve 3 + m = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 + 3*c + 11. Let g be r(9). Let d = g - 85. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -3 - sqrt(13)) + -1*sqrt(637).\nAnswer: -4*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -875 - -877. Let h = -3.9 + -1.1. Which is the nearest to 0? (a) 4 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114635 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o**3 + 2*o**2 - 2*o - 2. Let f(x) = -34176*x**2 + 45*x - 214*x**3 + 50*x**3 - 71*x**3 - 95*x**3 + 34131*x**2 + 45. What is -4*f(v) - 90*l(v)?\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7284 + 18444?\nAnswer: 26738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/(-195)))\/(12 - 225\/15)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(-5\/6)*(p**(-20)*p)**(-47) assuming p is positive.\nAnswer: p**898","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let t(p) = -p. Let n(r) = o(r) + 3*t(r). Calculate n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 16 = -4*s + 21, 2*s - 5*c = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 34342.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90081 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 594 + 4528. Suppose 3*h = 3, -z = -2*t + h + 3*h. What are the prime factors of t?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39435000 to the nearest 100000.\nAnswer: -39400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -114. Let i = -70 - p. Suppose -6 = 4*z - 66. What is the remainder when i is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7\/252*-9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**3 + 124*w**2 + 91*w - 400988 wrt w?\nAnswer: 3*w**2 + 248*w + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39637?\nAnswer: 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 470 - 447. Is 22 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 319. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 154*s + 8014. What is w(-41)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5323 - 44641?\nAnswer: -37316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 divided by -56?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31380 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {m: 4, e: 5, f: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4260661*a - 25563970. Determine m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.4 and 8.7.\nAnswer: -377.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 13463 = -p, 3*p + 53928 = 7*p - 3*u. Suppose -4*l + 7405 = -p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*b - 90 = 0. Let i be 3\/b - 6*4\/(-40). Which is greater: i or -144?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53676490, 107352970, 161029450, 214705930?\n\"Answer: 53676480*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 5*a**2 + 3*a - 7. Let s(r) = -3*r**3 - 8*r**2 - 5*r + 11. Calculate -5*s(v) - 8*u(v).\nAnswer: -v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f + 11. Let w be y(-19). Let l = w + 290. Which is the nearest to 2\/5? (a) l (b) -0.08 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in -1\/34, 5, 1, -0.4, -4, -0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Let s(z) = -4633195*z. What is j(s(w))?\nAnswer: 21466495908025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x**2)*(-3 + 3 + 2*x**3) - 13*x**5 - 24 + 24 - x**5 + 4*x**5 - 5*x**5.\nAnswer: -19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 times 18?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6138 is divided by 123?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 60*h**2 + 133*h - 108. Let u(y) = 10*y**3 + 540*y**2 - 1195*y + 975. Let c(z) = -55*q(z) - 6*u(z). Suppose c(d) = 0. What is d?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367.928 - 368. Let w = 11939.9280016 + -11940. Let t = w - k. Round t to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 2. Let h be u(1). Let d = 11 - h. Suppose -20 + 59 = d*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s - 4*s**2 + 4*s - 5*s. Let m(t) = -32*t - t**2 - 6*t**2 + 12*t + 18*t. Let c(g) = 6*m(g) - 11*x(g). What is the second derivative of c(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/168*(-6)\/4)\/(3\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 72 = 6. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:18 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3513589 - 628.\nAnswer: -3514217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501411 (base 6) in base 15?\nAnswer: 46dd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5*h + 4. Let s(i) = 12 - 3 - i + 7*i + i**3 - 8*i**2. Let g be s(7). Suppose 5*j + 5 = 0, -4*j + 8 = g*n - 2*j. Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 0*r**2)*(-1 + 2 - 3) - 27*r**2 + 23*r**2 - 42*r**2 - r + 2*r**2 + r.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3\/9 + 102*l**2 - 611*l\/3 + 7587. Determine r so that i(r) = 0.\nAnswer: 1, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8))\/((-18)\/16). Let d = 2.19 - 1.9. Let r = d - 0.09. Which is the third biggest value? (a) r (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-380))\/(2*2312\/(-255) + 18)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -110014105?\nAnswer: 110014111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 123, -3 in decreasing order.\nAnswer: 123, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 8*o - 8. Solve -2*h + 5*u + 21 = o, 3*h - u + 7 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.714 - 7.505. Sort -3, 1, a in ascending order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -105 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j*j\/(j*j\/((j**(8\/5)\/j)\/j)) assuming j is positive.\nAnswer: j**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - 34. Let l be -1 + 7 - -6*(-184)\/12. Is q less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*b + 1219*b = 23472 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.3 - 27.33. Let m = p + 3. Let i be -2*(3*(-1)\/(-6) - 1). What is the biggest value in m, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*c + 2*m, -2*c + m + 13 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2430 + -306. Let u = -1118 + g. Suppose 1 + 256 = q + 5*c, 2*c + u = 4*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -8*t + 25. Let i be 9\/(-45) - 341\/t. Suppose -2*d = -6*d + i. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-4\/3)\/j))\/j)\/(j*j**(-6))*(j\/j**(-13))\/j*j**(-1) assuming j is positive.\nAnswer: j**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (9 + 0) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 21*i - 29. Determine h(5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6300738 divided by 2100246.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5378 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4049087.\nAnswer: 7, 578441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11678, -11681, -11688, -11699, -11714, -11733?\nAnswer: -11756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvdvdvddd. Give prob of picking 4 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:08 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7073, -2\/5, -3\/8, 4\/3, -1\/34, 1\/3?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmxmnkuu. What is prob of picking 1 k, 1 n, and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a**2 + a**2)*(-2 + 3 - 2 + (3 + 1 - 3)*(-6 + 2 + 3) + 4 + 1 - 4 - 6 - 6 - 5)*(2*a**2 - 6*a**2 + 0*a**2).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 - 7*r**2 - 1. Is o(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 105 = 530. Let m = 91 - t. Does 8 divide (9\/(-4) - -2) + (-2025)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-2)*(((-1375)\/1078)\/25)\/(40\/(-32))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07639 + 0.0152371.\nAnswer: -0.0611529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271931310 by 9.\nAnswer: 30214590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(-2*j**3 - j - 2*j**3 + 7*j**3) to g*j + s*j**2 + t + o*j**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*c + 19 = -259*c - 3*o, 2*o + 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -692 and 0.2?\nAnswer: -138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51700622?\nAnswer: 2, 31, 653, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 851268431 a multiple of 7176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2942 + 2944. Let p = -1 - 0. Put -8, -4, g, p in ascending order.\nAnswer: -8, -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6945 is divided by 783?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9621?\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(33\/4)\/(((p*p**5)\/p)\/p**(-5)))\/(((p\/p**(-2))\/(p\/p**(-7)))\/(p**(1\/3))**(-1\/36)) assuming p is positive.\nAnswer: p**(-5569\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (4 - -30) + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444544 to the power of 1\/2, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520786 is divided by 4376.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 2*u + 2*u - 3*u + (47*u**3 + 49*u**4 - 47*u**3)*(2*u - 4*u + 8*u).\nAnswer: 293*u**5 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0294 + 0.0294. What is the closest to l in 2\/3, 5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3440 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 13*p**2 - 27*p - 5. Let q be t(15). Suppose -116 = -2*z + 2*s, -z = -22*s + 27*s - q. What is the highest common factor of 77 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2792\nAnswer: -837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 5. Let i(z) = 4 - 11 - 2*z + 6*z. Calculate the remainder when i(8) is divided by y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125.4 + 129.4. What is the nearest to -1 in -59, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 3*p + 3*p)*(15444*p - 2 + 13459*p + 20996*p + 29105*p)*(0 + 0 - 2) as y*p**2 + c*p + q and give y.\nAnswer: 158008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (439382\/442 - 37) + 1\/(-13). Calculate the highest common factor of p and 1392.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009776 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30248 and 16716.\nAnswer: 635208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 2 - 20*d**2 + 16*d**2 + 1. Let x(y) = -10*y**2 - 2*y - 2. What is -12*s(o) + 5*x(o)?\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 186*w + 1 - 4*w**4 + 189*w to r*w**3 + v*w**4 + n + h*w + k*w**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24, 0, 3, 0.3, 1.42?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 4*i + 22, 50 = 5*j + 5*i. Let l(x) = 23*x - 9*x - 5*x + 5 - 6*x. Let p be l(j). Solve 5*a - 3*a + p = 5*c, -5*c = -25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.74786l to millilitres.\nAnswer: 69747.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-7 - 2) - (-4 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - 3*d + 1. Let m be f(9). Let q be m\/(-3) - (-4)\/(-6). Calculate the highest common divisor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**21\/v**(-2\/33))\/(v**(-11)*v**(3\/10)))**(-33) assuming v is positive.\nAnswer: v**(-10481\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -703876 and -703861 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let b(y) = -11*y**3 - 2*y**2. Let l be b(t). Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/18*(54\/168)\/(-3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from hhyhhhhyhhhhhhhhyh?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 3b?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 + 63*b - 13. Let k be a(6). What is the units digit of (151298\/(-70) + (-3)\/k)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -58*n + 11838. Calculate w(204).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-12)\/15) - 3. Suppose -2*x + 8 = o - 3*o, f*x = -5*o + 8. Does x = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 14, 35, 54, 65?\n\"Answer: -o**3 + 8*o**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11830639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(228))\/(sqrt(3) + sqrt(192) + sqrt(192)*-1 + sqrt(3)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*(0 + sqrt(153)) - (0 + sqrt(153) + sqrt(153)*-1))**2)*2 + 5.\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 9 - 7 - (-1 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 474.5519 nanometers?\nAnswer: 0.00004745519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 2*s - 24244, 2*c - 9700 = 2*s. Suppose -17*n = -18363 + c. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(9)\/sqrt(3)) - (sqrt(95)*-2)\/sqrt(5).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*t**2 + 3*t**2 - 8*t**2 + (-1 + 1 + 2)*(0*t**2 + 0*t**2 + 2*t**2) - t**2 - 2*t + 2*t.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.962677 months in millennia?\nAnswer: 0.00024688975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26610 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564 - -35566343?\nAnswer: 35600240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, 0.1, -0.3, 1, -40962, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564112 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 272?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 12:46 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 20*p - 44. Let n be l(4). Factor 2\/7*s**n + 0 - 2\/7*s**3 - 2\/7*s**2 + 0*s + 2\/7*s**5.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*j**3*v - 61*j**3 - 658*j**2*v**2 - j*v - j - 52*v**2 + 2*v + 4380 wrt j?\nAnswer: 372*j*v - 366*j - 1316*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {g: 1, z: 1, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/(-17108) + (-1360)\/4368?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 + 34\/(-10). Let a = -0.43 - -0.03. Sort s, 0.1, a.\nAnswer: a, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 260097, 0.1.\nAnswer: 0.1, 0.5, 260097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.72, 1, 4 in decreasing order.\nAnswer: 4, 1, -3.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 162028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 5964*u**2 + 8892324*u.\nAnswer: u*(u + 2982)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 - 3310. Let q(n) = -1854*n - 1. Give q(y(c)).\nAnswer: -1854*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -27*m**3 - 10*m**2 + 9*m + 5. Let r(i) = 26*i**3 + 7*i**2 - 9*i - 5. Let n(c) = -4*r(c) - 3*w(c). Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b2a (base 12) to base 11\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 403, 787 in ascending order.\nAnswer: -5, -3, 403, 787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20844)\/(-576) - (-78)\/(-416).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.3 (c) -1471 (d) 2\/21 (e) 2 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39365, 155769, 349783, 621407?\n\"Answer: 38805*s**2 - 11*s + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-630)*-365)\/((-16)\/(-28)) - (-6)\/(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44543 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 682990\/(-1053756)*24\/(-14)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2273 + 2273.4. What is the biggest value in h, -314, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 412*d**2 + 3*d - 57?\nAnswer: 824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1624*y**3 - y**2 - y. Let c be s(-1). Suppose a + 620 + c = 3*q, 3005 = 4*q + 3*a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 - 428089*l**3 - 61086873336*l**2 - 2905658216814784*l - 2905597130369536 = 0.\nAnswer: -142696, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -2 - 4) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let w(k) = 2. Let d(g) be the first derivative of g**2\/2 + 3*g - 4. Let j(z) = 2*d(z) - 3*w(z). Calculate 2*j(l) - 3*t(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -7, -7, 1?\n\"Answer: 4*y**2 - 20*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 + 10 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-366)\/(-8)*28\/(-294) and (93\/9)\/(40\/(-6)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/25)\/2*-5. Suppose 0*i + 2*x = -2*i, -4*i = -r*x. Factor -4\/9*o**3 + 0*o - 2\/9*o**2 + i - 2\/9*o**4.\nAnswer: -2*o**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2236478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m**2 + 2*m + 1. Suppose 0 = 4*y - 12. Suppose k + 2 = -2*s, y*s + 0*k = -3*k - 3. Determine x(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339*h**2 - 774 + 786 + 14858*h**2.\nAnswer: 13519*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 1\/3, -1\/13, 3, 0.32048 in descending order.\nAnswer: 3, 1\/3, 0.32048, 3\/10, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-o - o + 4*o)*(5*o**2 - 3*o**2 + 5*o**2)*(-22 - 18 + 10) to g + j*o**2 + q*o + i*o**3 and give i.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 23. Which is greater: w or -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -334.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 3*b + 7, -s - 38*b = -43*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1111\/2 in -2, -0.2, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**2 - l - 25. Let n(k) = 5*k**2 + k + 11. Let f(y) = 5*n(y) + 2*o(y). Suppose -36*r + 46*r + 40 = 0. Calculate f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/28520 and -39\/5136452.\nAnswer: 51364520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 21*p = 47*p + 54. Suppose -5*q = -q + 20. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.378 and -0.5.\nAnswer: -0.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9444.7 and 4.\nAnswer: -9440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230 divided by -27.\nAnswer: 410\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let t(f) = -2*f**2 + 1544*f + 9928. Give u(t(l)).\nAnswer: 2*l**2 - 1544*l - 9928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*o = 640*o + 888*o - 27348 + 4388 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13)*f)\/f*f*f*f*f)**(-28)*(f**3*f)**(19\/3) assuming f is positive.\nAnswer: f**(-3548\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995981.\nAnswer: 7, 263, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let b be w(-2). Let s(t) = b*t**3 + 4*t - 6*t**2 - t**3 + 3 + 0*t**3. Calculate s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 309 + -403. Let a = c - -96. Solve 5*d - a = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6564 = -66*h + 72*h. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/u)\/u)**(4\/9)*u**(1\/5)\/(u**0\/u) assuming u is positive.\nAnswer: u**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187.999999024 + -188. What is d rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 4*c**2 - 7*c + 62. Let y be r(5). Let q = -6 + 16. Solve 0 = -2*a + q - y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 5, -138, -5, -2\/7, -3223?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1931 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.09 + 0.09. What is the nearest to -1 in 1\/2, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -654*g**2*x + 233104162*g**2 + 5238*g*x wrt x?\nAnswer: -654*g**2 + 5238*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.4 (c) 0.5 (d) -6 (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/147 - 18\/27.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 4*r**2 - 2*r. Let y be a(3). Let j be (-23)\/(1\/(-1)) + 0. Suppose y*i - j = -8. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 5*y + 5. Let j(k) = -k**2 + k - 1. Let g(a) = -15*j(a) - 3*s(a). Let n(q) = 3*q**2. Give n(g(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(3800) + sqrt(3800))*3)\/(-6*-6*sqrt(10)\/sqrt(5)).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*w = 16, 2*y - 3*y = 4*w. Let u = y + -5. Is 9 a factor of (2 - (-11 + u)) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393216 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 395 = 532 - 192. Calculate the remainder when 250 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -24*t**2 - 40*t + 7. Calculate j(-4).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -998 + 998.9. Which is smaller: -1.79 or s?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.7506 - -17.2506. Let g = 4.5 - -0.5. What is the second biggest value in 25, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + (sqrt(102) - 4*sqrt(102)) - sqrt(102)))\/(-2*sqrt(384)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(4\/(-2)*(-13)\/13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c - 4*c - c + 5*c - 2*c - 2*c + (-2*c - 1 + 1)*(-2 + 2 - 2) + c + 4*c - 3*c)*(1 + 2 - 5)*(-2 + 3 - 5) to w + f*c and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 38. Let g(y) = -20*y + 191. Let a be g(9). What is z(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 2. Let r(c) = -7*c - 5. Suppose -6*d + 4 - 64 = 0. Give d*h(o) + 4*r(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608384 by 224.\nAnswer: -2716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -83*x + 7914. Let l be o(94). What is the greatest common divisor of 2448 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7373 and 2323.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 38*x + 3*y = 6, -x - 5*y + 22 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 65\/3. Suppose v + 4*j - 7 = 0, -2*j - 5 = v - 4*j. What is the closest to v in 1, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 64 + 408. What is the remainder when h is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -259984\nAnswer: 17\/259984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -14809 (b) 4 (c) 4\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*i**3*z**3 + 45*i**3 - 2*i*z**4 wrt z?\nAnswer: -48*i**3*z**2 - 8*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*z = -110*z + b + 6, b = -5*z - 2*b + 5*b + 57 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48352870 or 48352869?\nAnswer: 48352869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 8*b**2 + 2*b - 41. Let d = -454 + 448. Is 8 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85287 is divided by 17053?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = -f, 9*f - 4 = -2*b + 6*f. What is the hundreds digit of (b\/(-5))\/((-1)\/1490)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*r - 66 = 664*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -10 (b) -2\/3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116, 102, 72, 20, -60, -174, -328, -528?\n\"Answer: -q**3 - 2*q**2 - q + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381840227?\nAnswer: 13, 5087, 36017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-1 + 16 - 15) - -10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 15*q**2 - 409*q - 34. Give m(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1167864 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, 1\/27, -0.142, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 707.7276 millimeters?\nAnswer: 707727600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114523110 + 12?\nAnswer: 114523122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 9*r**2 - 8*r - 12. Let t be m(10). Solve 5*c - c = -t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36543550 divided by -424925.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(35\/14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-12012)*((-1)\/(-2))\/((-8)\/56).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 38*z - 188*z**2 - 233*z**2 - 28*z - 25. Let w be f(5). What is w rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = 70*k + 169*k + 4590 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*z - 7. Let n(l) = l**3 + 8*l**2 + 7*l + 5. Let d be n(z). Find the third derivative of -q**3 + d*q**3 + q**2 + 1 - 1 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4 + 14\/4 + -108. Let m = r - -427\/4. Is 1\/9 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18 + 946\/(-330) + 21. Let l be -2*(0 - (-1)\/11). What is the second smallest value in l, h, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/4 + 2*a**3\/3 + 3*a**2 - a + 1. What is m(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18826, -13142, -7462, -1786, 3886?\nAnswer: 9554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -14. Let s be (6 + -29)\/((-1)\/h). Let f = s + 243. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121882339\/5 at least as big as 24376469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4051 by 6091.\nAnswer: 4051\/6091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-35 + (-38 + -4 - -66))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -21 + 3. Let x(l) = -l**3 + l + 1. Let i(s) = -s**3 + 6*s**2 + 2*s - 3. Let n(y) = -i(y) + 2*x(y). What is n(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**6 - 1\/12*g**4 + 0*g**2 - 67\/42*g**7 + 0*g**5 + 0*g**3 - 99*g + 0. Find the third derivative of j(y) wrt y.\nAnswer: -4020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*w + 264 = 0, 0 = 9*v - 4*v - 3*w - 266. Differentiate 55*o - 33*o - 22*o - v*o**4 + 33 with respect to o.\nAnswer: -208*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4)*f\/(f\/((f\/f**(-5))\/f)))\/(f**(2\/5)\/f*f)**(-7\/2) assuming f is positive.\nAnswer: f**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6290 and 111350.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6030 and 1809.\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*y)*(62 - 62 - 10*y**2 + 2*y**3) + 3*y**4 - 2 + 2.\nAnswer: -y**4 + 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*(m*m\/((m*m*m**(-32)\/m)\/m*m)*m*m)\/m)\/(m**(1\/8)\/m*m\/(m*m**(8\/11))) assuming m is positive.\nAnswer: m**(3485\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -48. Sort z, 1\/4, -3.\nAnswer: z, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79b (base 14) to base 4\nAnswer: 113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9664118 - 10\nAnswer: 9664108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 11. Let n = 17 + r. Solve -n*g - 6*g**2 - 8 - g**3 + 5*g**2 - 5*g**2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6 + 39. Calculate the lowest common multiple of c - 2 - (-14 + -1) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 44*f**2 + 41*f + 8. Calculate t(-43).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119\/276 + 8\/23. What is the common denominator of -101\/6 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t. Let n be b(5). Let c(q) = -q**2 - 9*q + 93. Let k be c(n). Let d = k - 59. Calculate the greatest common divisor of d and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - q + 1. Let z(w) = -10*w**3 - 79*w**2 + 2*w - 2. Suppose -9 = -9*j + 9. Let y(m) = j*a(m) + z(m). What is the third derivative of y(b) wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/2 + 13*y**4\/12 - 8*y**3\/3 - 2*y. Let u(d) = 7*d**3 + 9*d**2 - 11*d. Let s(g) = 5*b(g) - 7*u(g). Calculate s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 12*j**3 - 4*j**3 - 5*j**3 + 33*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -558656 (base 10) to base 2.\nAnswer: -10001000011001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/2 - j. Let c(k) be the second derivative of 11*k + 0*k**2 + 0 + 1\/3*k**3. Give c(h(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -7*i**2 - 2*i + 38. Let y(t) = 9*t + 1. Determine 5*o(x) + 8*y(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 15. Let x be v(12). Let j be (36\/x)\/(1\/(-6)). Solve -5*h + w = 5*w - j, 5*h - 23 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 92*s - 632. Calculate x(6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-10))\/8*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 14 - 1)*(2*s - 1 + 1 + 0*s + s + s + 5 - 5 + s + (4*s - 3*s - 2*s)*(-2 + 4 - 1) - 2 + 2 + 2*s + (-9*s - 5 + 5)*(-3 + 3 + 5)).\nAnswer: -195*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*f + 7 + 53, -2*f = 6. Suppose -3*n - 4*u - 19 = 31, -n - 2*u = 20. List the prime factors of (-126)\/n - (-6)\/s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80704 by -80704.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -69*g - 1. Let s(l) = 139*l + 3. Let y(u) = -5*a(u) - 2*s(u). Is y(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 705 - 337 = 248 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 29 = -5*f + 4*a, 3*f - 2 = -a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let q(p) = -2*p**2 - j*p**2 + 5*p**2 + 3*p**2. Let f(x) be the third derivative of -x**5\/30 - x**2. Determine f(q(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -18*h - 4. Suppose -6*n - 2*r = -11*n + h, -26 = -5*n - 4*r. Factor 4*g**n - g**2 - 3*g**4 + 182 - 182.\nAnswer: -3*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 1 - (31 - 57364) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - 11 - (-5)\/4. Which is the nearest to 0? (a) -3 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 * -4384.\nAnswer: 56.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1 + 322*r**3 - 321*r**3 - 4*r + 4*r. Let y(a) = 14*a**3 - 7*a**2 - 3. Let s(t) = -3*x(t) - y(t). Find the third derivative of s(p) wrt p.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g - 11. Give w(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3)\/(42\/(-112)*-8)*22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-819*q - 2077*q - 1291*q)*(2*q**4 + 1 - 1).\nAnswer: -8374*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2552134 (base 9) to base 8.\nAnswer: 5237566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-39))\/(4\/(-1)*51\/(-510)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1 - 2 + 2 - 28*c. Let m(t) be the second derivative of 19*t**3\/6 + t**2\/2 + 25427*t. What is -5*g(r) - 7*m(r)?\nAnswer: 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-2065911.\nAnswer: 1239546.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 57438435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -385*u + 1124. What is the units digit of t(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -2882 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12121 and 4491187?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3108 + 37470*y - 37470*y + 2*y**2.\nAnswer: 2*y**2 + 3108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7321 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrrf. Give prob of sequence rfr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70\/(-15))\/(-7)*(-18)\/(-32). What is the closest to 0.1 in 0.5, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144.61382+-2\nAnswer: 142.61382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 4*s + 9*s - 2*s**2)*(353*s - 659*s + 125 + 302*s).\nAnswer: 8*s**3 - 274*s**2 + 750*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 2572*p - 364176.\nAnswer: -2*(p + 162)*(p + 1124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 114 and 56809\/493 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-42)\/(x**(-3\/23)*x))\/((x*(x**(1\/16)\/x)\/x*x)\/(x\/(x*x**(-3\/25)))))**(32\/3) assuming x is positive.\nAnswer: x**(-787742\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + 1 + 55 + -64?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32.34. Let f = j - 0.04. Let g = 124 - 126. Sort f, -4, g in descending order.\nAnswer: f, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7994839*x. Let v be w(-1). Let y = v - -6305214. Suppose 200053 = -3*t + y. Round t to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**3\/6 + 11*f**2\/2 - f. Let g be p(6). Solve -2 = 2*t + 4*l, g*l + 10 = -t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36473900 divided by 18236950?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3748327 rounded to four decimal places?\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:27 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*u**4 + u**2 + 6882*u + 4363571?\nAnswer: 56*u**3 + 2*u + 6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*4\/(-4)*3. Let s = 24 - j. Solve a + s = 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 49*j**5\/10 + j**4\/12 - j**3\/6 + j**2\/2 - 3*j. Let o be z(1). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006302515 to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 - 388*p**3 + 6302*p**2 + 6688*p = 0. Calculate p.\nAnswer: -209, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142799 by 4295.\nAnswer: -142799\/4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/26423 (b) 2.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8638, -8644, -8650, -8656?\n\"Answer: -6*s - 8632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32234 is divided by 4539.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12547*v**2 + 7896*v wrt v.\nAnswer: 25094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 57 = -5*f, -l - 3*f = 3*l + 47. Let j(k) = 10 - 13*k - 31*k + 16*k - 1 - 22*k. Let u(t) = 9*t - 2. Let w(v) = -2*j(v) - 11*u(v). What is w(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 + 4. Let i be z(-3). Let v = 22 - 76. Let y = -596\/11 - v. Which is the closest to 0? (a) i (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295525500 + 424425480. Suppose 0 = -5*w - 4*f + z, 3*f = -12*w + 13*w - 25780015. What is w rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 2 - (5 - 2). Let t = 6 + -11. What is the second biggest value in 3\/4, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, x: 2}. Give prob of picking 2 a and 1 x.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3 and -12835.\nAnswer: -12836.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - f + 49 + 76, b = -5*f + 37. Suppose 4*d + 0*a - 47 = -3*a, 59 = 4*d - a. What is the highest common factor of b and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216042836?\nAnswer: 2, 43, 1256063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 5) to base 13\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 4*l - 5 - 8*l**2 + 3*l**2 + 2*l**3. Determine j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 298788960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - 4*r**3 + 6*r**2)*(-4 + 4 + 3*r)*(-r + r - 2*r).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 12. Let w(b) = -b**3 - 2*b**2 - b + 1. Let y be w(i). Solve 0 = -5*x, n - 5*n - y*x = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 - 26074*s\/9 + 169963369\/9.\nAnswer: (s - 13037)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1\/(-2))*-4*77. Let w = v + -322. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -15 - -2) + 7 + 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, 5, 3, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -0.5 (c) -1 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 164 - (38 - (46 - 47)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 1801530?\nAnswer: 5404590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8 - 9) + 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/(-176)*(-7)\/5 and -145\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**5)**(5\/9)\/(r*r*r*r**(4\/3)*r*r*r**(-1\/2)) assuming r is positive.\nAnswer: r**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 705.3 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1720*z**2. Let j(i) = -4*i**2. Give b(j(n)).\nAnswer: -27520*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263466 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -69*i + 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 16*s**3\/3 - 7*s**2\/2 - 14*s. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-14)\/6) - 3\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**2 - 27392*i + 82280. What is u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdee when four letters picked without replacement from {e: 8, d: 1, c: 2, g: 2, l: 1}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*q**4 + 114*a**3*q**2 - 225*a**2*q**5 - 3*a**2*q**2 wrt q.\nAnswer: -48*a**3*q - 13500*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 11*q**2 + 9*q - 8. Let w = -366 + 362. Let r(g) = -g**2 + 6. Let c be r(w). Calculate y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -1541*l**7\/21 - 1285*l**3\/3 - 3*l - 74. Find the second derivative of y(b) wrt b.\nAnswer: -61640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/9 (b) 0.3 (c) -0.4 (d) -1\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(-1*sqrt(2)))\/(2*sqrt(891) - sqrt(891)))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 - -103. Put 2, 0, r, -5 in increasing order.\nAnswer: -5, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -29. Let d = t - -114. Solve -7*f = -2*f - d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (2 + sqrt(432))) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 - (3 - 15). Suppose 3*t - 2*t = k. Let y(o) = 2*o + 4. Calculate the lowest common multiple of t and y(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2, c: 1, r: 3, w: 4, m: 2}. What is prob of picking 3 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/9 and -2 + 4 + -6 + 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6*99\/6. Let q = v + -38. Are -16 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*h - 22*h + 865 - 5567 + 43*h in the form m + j*h and give m.\nAnswer: -4702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-338)\/(-7))\/(20\/70). Is 167 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 18 = -6. Put 1, o, -3, 5 in descending order.\nAnswer: 5, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33979847?\nAnswer: 11, 19, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 439 + 557. Suppose 3*b + 3*t = 237, 5*t + 611 = 5*b + s. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*r - 6233 - 7924 + 5299 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 1090?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452338 is divided by 1570?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v = -6. Calculate the greatest common factor of 57 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, u: 2, i: 1}. What is prob of sequence gwi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6942\/(-2457) + (-444)\/(-259).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*x = -p - 16, 0 = -5*p + 4*x - 32. Let v = 16 + -23. Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -681198 + 3?\nAnswer: -681195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 4. Let k(a) = 7*a - a - 2*a + 17. Determine 9*c(v) + 2*k(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(8*11\/660*5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5 - ((-1397)\/(-385) + -5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + n**2 - 122*n + 122*n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -1101, -1107, -1113, -1119, -1125?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)*p)\/p**(-24) assuming p is positive.\nAnswer: p**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16150.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-151)\/7 - 8\/(-14). Let m be (v\/6)\/7*-2. Solve 0 = -l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*p**2 + 143*p**2 - 55*p**2 - p - 53*p**2 + 731 to the form j*p + z + u*p**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1186 or -1425?\nAnswer: -1186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 532 - 519. Find the second derivative of v*o - 179*o**2 - 1 + 5*o + 47*o**2 wrt o.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -8. Let s = -20 - c. What is the second smallest value in 1, 0, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:54 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -772*m**2 - 12451*m - 12452. Determine j(-1).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*f - 79*f - 147*f - 139*f - 137*f - 108*f.\nAnswer: -151*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:28 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) + 6 + 0. Suppose h - s*a = 79, h - 63 = -3*a + 2*a. Let o = h - 45. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 11*r + 38. What is the smallest common multiple of 8 and j(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 2708631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -81, -138, -237, -384, -585, -846?\n\"Answer: -f**3 - 12*f**2 + 22*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsazszszzzszzzzs. What is prob of picking 1 s, 1 z, and 1 a?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/46263229 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3296 + 9576. List the prime factors of (-4)\/2*a\/(-8).\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2302045, -2302043, -2302041, -2302039?\nAnswer: -2302037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.8 (c) -2.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, l: 8, p: 3}. Give prob of picking 3 l and 1 b.\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 12 = -22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -7\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 791\/688?\nAnswer: 791\/688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/39*3\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 8697.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89464251 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 4*x**2 + 5*x**2)*(2*x + x - x)*(-2 - 1 + 5).\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1 (b) 215 (c) 0.1 (d) 1\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5622277861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 326.3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 241*l + 1832 + 363 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -20, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 3\/10, -149?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**3\/6 - t**2\/2 + 7*t. Determine n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 8*o**2 + 8*o**2 + (-o**2 - 2*o**2 + 2*o**2)*(4*o - 2*o - 4*o) to n*o + b + r*o**3 + x*o**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2, -19, 1, -3, 29 in increasing order.\nAnswer: -19, -3, 1, 2, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11190441\/2 or 5595222?\nAnswer: 11190441\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -30\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -725?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 128685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 67 + 134 - 67 + t + t**2 to u + p*t + y*t**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 3*(6 + (-232)\/16)*-8.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 482742, 482780, 482818, 482856?\n\"Answer: 38*x + 482704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 384 = -32 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + s**2 + 3*s + (-14*s - 15*s + 3*s)*(7 + 4*s - 7) to x*s**2 + q + i*s and give x.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888 divided by 4.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*u + 18, -3*p - 9 = 5*u - 2. Let n = -19\/7 + 64\/21. What is the closest to -0.3 in u, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13610802 + 6?\nAnswer: -13610796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 4.212324.\nAnswer: 4.282324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -483 - -465. Let m = 19.5 + -20. What is the smallest value in q, 3, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -154bd4 + -c0?\nAnswer: -154cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1910 = 4*a + 5*v, 2*a + 228*v = 232*v + 942. Calculate the greatest common factor of a and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = 14. Suppose 0 = -z*r - 2*r. Suppose -2 = -3*l - 5*n + 3, l + 5*n - 5 = 0. Is r >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228775723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653255.\nAnswer: 3, 5, 36739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4002473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*j + 2)*(29*j + 7*j + 16*j).\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k + 29*k + 3211 = -142*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 5. Let p(g) = -g - 7. Let r(a) = 4*o(a) - 3*p(a). Let k(h) = -2*h**2 - 3*h + 1. Give k(c) - 2*r(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/4 + 9*d. Let f(b) = 8*b**2. What is f(q(c))?\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/363 in 0.3, 11, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20)*-1)\/(-3)*-4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) -3 (c) -1417 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 15*u = 6448. Calculate the remainder when u is divided by 237.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 - y**2 + 7 - 45*y + 44*y - 4. Suppose -79*m + 675 = 146*m. Calculate a(m).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5 + 15. What is the second derivative of 6*p**q + 4*p**4 - 5*p**4 + p**4 - 6*p wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*m - 61*m - 54*m + 51*m**2.\nAnswer: 51*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -4.1. Let f = -11 + 5. Let l = -11 - f. What is the second biggest value in q, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 + 2*m**2)*((-m + 0*m - m)*(0 + 3 - 1) + 2 - m - 2 + 2*m + 3*m - 3*m) + 5*m**3 + 0*m**3 + 0*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 + 139*t**2 - 237168*t\/7 + 236196\/7.\nAnswer: -(t - 486)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - j - 5 + 17 = -3, 5*o - 4*j - 66 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**5)\/(i*i**(-1\/12)\/i)*(i**(-2\/5))**(1\/7) assuming i is positive.\nAnswer: i**(2531\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**3*v*z - 2*d**3*z - 118*d**3 - 3*d*z + 18*v**3*z - 5*v**2*z + 18*z with respect to v.\nAnswer: -8*d**3*z + 54*v**2*z - 10*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 10 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from okook.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 19 = -22 - 13 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i - 139. Let t(o) = -o**3 + 5*o**2 - 5*o + 3. What is the least common multiple of c(-11) and t(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**2*p)\/(p*p**(-2\/9))*(p**(-1))**(4\/29) assuming p is positive.\nAnswer: p**(805\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2141424 - -32221?\nAnswer: 2224200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -97. Let l(w) = -w**2 - 24*w + 16. Let m be l(p). Which is smaller: 150 or m?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*z + 121*z + z**3 - 2*z**2 - 46*z + (0 + 4*z + 0)*(-3*z**2 + 2 - 2).\nAnswer: -11*z**3 - 2*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojmjttmtmmj. Give prob of picking 1 o, 1 m, and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135250 and 10820.\nAnswer: 270500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -777 or -218514\/281?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -253370 (base 9) to base 3\nAnswer: -21210102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*-152817\nAnswer: 152817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 293121 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 23*h - 55. Let r be q(-25). Let l be r + 2 + 1 + 2. Solve 0 = -c - l*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 + 8*y. Let k be q(6). Suppose h - k = 2*h. What is the common denominator of (20\/h)\/((-3)\/(-12)) and 25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 16*u + 44. What is the smallest common multiple of y(-15) and 11?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 times -94.2\nAnswer: -29.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*v + 20*v + 12. Suppose -2*h + 3*d - 25 = -v*h, 0 = -5*h - d + 82. What is the greatest common divisor of 85 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) + (sqrt(143) - (sqrt(143) - sqrt(143)*-1)*6)))\/(sqrt(99) - -4*2*sqrt(99)).\nAnswer: 10*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose 20 = 11*u - 7*u. Suppose u*t - 282 = -y*a + 2*t, -t = -5*a + 500. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-10)*(-20)\/9. Let t(x) be the first derivative of 0*x**2 + 0*x + 15\/4*x**4 - 2*x**5 - 5\/2*x**6 + n*x**3 + 7. Let t(v) = 0. What is v?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuccuuuuuuygfuugc. What is prob of sequence gcu?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (4 + sqrt(2592) + -1)**2)*-1.\nAnswer: -2600 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(0 - 14\/4). Which is the second biggest value? (a) -3 (b) x (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 44721\nAnswer: -8944.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.535 nanometers in micrometers?\nAnswer: 0.276535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 27. Let b be u(-12). Let d = -28 + 193\/8. Calculate the common denominator of d and (-381)\/b - (-15)\/25.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from fxdzdzdwwd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 9*i + 14. What are the prime factors of u(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -315315119.1 to the nearest ten thousand.\nAnswer: -315320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57960 by 1260.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.01. Suppose 6*q - 4*q + 8 = 0. Which is the closest to 1? (a) o (b) q (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:40 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261296.5 decades to centuries.\nAnswer: 26129.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.640934222 rounded to three decimal places?\nAnswer: -6.641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 498.\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -1?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359 by -4.\nAnswer: -359\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/((-150)\/220 - (-4)\/22)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 56 = -316. Solve 12*r = -b - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y**6\/15 - 7*y**5\/5 - 2*y**4\/3 + 40*y**3 - 144*y**2 - 3*y - 10. What is z in w(z) = 0?\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2308952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 1. Calculate r(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1477 = -k - 5*d + d, 4*k - d - 5959 = 0. Let x = k - 600. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noyn when four letters picked without replacement from {s: 2, o: 3, n: 2, z: 1, y: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - t - 63, -t - 3 = 22*h - 32*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.25924 + 3.85006. Let u = -19 - -24.1. Let r = q - u. What is r rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2773*l + 209 = -2754*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oill when four letters picked without replacement from {l: 3, i: 3, o: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4443 (b) -0.3 (c) 2\/7 (d) 0.3 (e) -5 (f) 154\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -128. Let y be 18\/(-4)*h\/12. Let r(m) = -6*m**2 + 3. Let x(d) = 17*d**2 - 8. What is y*x(p) + 8*r(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -12. Let z = -4 + v. Suppose z*l = 7 - 1. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11861 or 457?\nAnswer: -11861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 12*l = -30211. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.88775384 rounded to 2 dps?\nAnswer: 9.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k - 174. What is the remainder when 65 is divided by v(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 0*u)*(26 - 10 + 146) to p*u + z and give p.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34057782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -123. Let a be (1\/5)\/((-32)\/w). What is the third smallest value in -0.5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6822\/4169*(-110)\/6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*z - 105*z + 30*z - 46*z - 46*z in the form p*z + j and give p.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 12 - 20)*(-q + 0*q - q)*(21*q - 30*q - 22*q)*(0 + 1 - 3) as r*q + g + z*q**2 and give z.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 5476 = 5*k + 13*k. What is the highest common divisor of 32 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4294, -17035, -38248, -67939, -106114, -152779, -207940?\nAnswer: -271603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 24. Let a(m) be the third derivative of l + 0*m**3 + 0*m**4 + m**2 - 1\/60*m**5 + 0*m. Let t(d) = -2*d**2. What is t(a(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 f when four letters picked without replacement from ifiiiiiiiffiiiiffi.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:11 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 44589 to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421160.\nAnswer: 2, 5, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.8365255*-0.8\nAnswer: -0.6692204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66710 by -35.\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c - 45. Let t be y(5). Solve -25 = 5*l + 4*i, -2*i + t = -7*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-198)*998 + -2. Let l = 214\/33 - i. Find the common denominator of l and (-39 - -40)\/(-2 + 95\/37).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -6.5.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let s(q) = -4*q**2 + 9*q + 9. Let c(o) = -o**2 + 2*o + 2. Let g(n) = -9*c(n) + 2*s(n). Calculate j(g(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -681485 by 7.\nAnswer: -97355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1106, -2108, -3104, -4088, -5054?\n\"Answer: s**3 - 3*s**2 - 1000*s - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218148.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 15*d = 34. Let r be 135\/45 - (d - 0). What is the highest common divisor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76644751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309406 is divided by 320?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5923*t**3*v*x + t**3*v - 853*t**3*x - 9*t**2 + 6*t*v + v - 3*x wrt v?\nAnswer: -5923*t**3*x + t**3 + 6*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8746\/6*4\/40. Let v = d + -416\/3. Find the common denominator of v and (2*2\/2)\/((-1760)\/4120).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 907 + 913 + 3*o. Let p be c(5). Let z be p\/6 - (175\/78)\/7. What is the second biggest value in -0.1, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/263? (a) 26 (b) -0.5 (c) -5 (d) 1.77 (e) -1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447200273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 5257?\nAnswer: -5263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*h - 11, 5*j + 15 = -7*h + 2*h. Let n = 13 - 5. Let m = n - 12. Which is the third biggest value? (a) m (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8163.\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3392 + 3393, 102 = -4*p + 2*m for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -37. Suppose -o*v + 12*v = 6. Is 4 a factor of (v + 4)*(-12 - -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 253\/(-33) - (-264)\/(-99)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4909\/3320?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -37*u + 13. Let j be p(-3). Suppose -f + 2*o = -53, 4*f - j = 2*f - 2*o. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15006.102 + 15183.5. Let m = 103 + 74. Let j = a - m. Round j to 2 dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -74 (b) 0 (c) -0.5 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 2*p + 34 - 28, -3*p + 9 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(4*s - 4*s - 3*s)*(2 + 4 - 2) - 2*s + 1 - 1 + (-3 + 0 + 5)*(s + 3*s - 2*s).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let t(b) = -b + 5. Calculate 3*a(q) - t(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242665 is divided by 2772?\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 4\/7 (c) -7\/4 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 + 102. Let y be (-1 + -4)\/(1\/3). Let c = y - k. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*y + 5*j, 11*y = 6*y + 5*j - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/3 + 6*s**5\/5 + s**4\/2 - 2*s**3 - 2*s**2 - 51. Factor k(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6 - 9 + 39*i + 52*i**2 + 2*i**3 + 31 + 59*i + 20 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -64*v**2 + 3*v - 1. Let k be a(2). Let i(h) = -15*h**2 + 392*h + 100. Let z be i(27). Is k smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 120a9c - -83?\nAnswer: 120b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*n + 11038 = 13866 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -131?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1074947, -2149986, -3225025?\n\"Answer: -1075039*m + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2. Give b(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966375 a multiple of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19c (base 15) to base 5\nAnswer: -2442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 975\/(-9))*(-3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 353 + -91. What are the prime factors of l?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2160, -2163, -2166, -2169?\n\"Answer: -3*m - 2157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 9*k + k + (-2 - 1 + 4)*(4*k - 2*k + 3*k)*(-4 + 0 + 2)*(3 + 2 + 29).\nAnswer: -333*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167424120 <= 167424119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -32. Let b = 173 - n. Suppose -j - j = -b. What is the highest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(-35)*(j\/(j\/(j\/(j\/(j\/(((j**(-3\/7)\/j)\/j)\/j))))))\/j*j**(-2\/15) assuming j is positive.\nAnswer: j**(-14354\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-46)\/(-115))\/(2\/10). Let x(h) = -h**2 - h + 2. Let o be x(0). Suppose -o = -3*k + 4. Calculate the highest common divisor of k and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*421.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 773 from 194939461.\nAnswer: 194938688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -2\/5, 478897.\nAnswer: -2\/5, 42, 478897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101549424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 138468 and 138468 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + 461. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*g + 34 - 266, 3*b + g = -35 - 131 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4))**39\/(p\/((p\/(p*p**5\/p))\/p)*p*p\/(p*p**2)))\/(p\/((p*p\/(p\/((p*p**2)\/p))*p)\/p)*p*(p\/((p**(-1\/8)\/p)\/p)*p)\/p*(p*p**1)**8) assuming p is positive.\nAnswer: p**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/360 - 3*i**5\/40 + i**4\/4 - 2*i**3\/3 - 2*i**2. Let r(t) be the first derivative of f(t). Is 6 a factor of r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 5403 + 10785 - 5382.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 4 = 4*q, 369*u = 365*u + 4*q + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01293902 rounded to 4 dps?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 345 + -359. Suppose -3*b = 621 + 1329. Is b\/a + 39\/(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 50 = 0, 196*b + 68*q = 404*b - 203*b - 640 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5113491 - 17*d + 2556748 + 2556743 - d - 37*d + 9*d.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15260*s + 305470. What is l(-20)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1640*l**4 - 140*l - 6?\nAnswer: 19680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.45508g in micrograms?\nAnswer: 48455080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.5 - -28. Let d = x + -6.50000122. Round d to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -60. Let x = -31.5 + m. Let v = -0.8 + -0.2. Which is the second smallest value? (a) -4 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 7, s: 1, e: 3}. What is prob of picking 3 u and 1 e?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - (0 - 2)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-3)\/((-243)\/99))\/(5\/45))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246477 (base 8) to base 15.\nAnswer: -1a426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 90 = 2*i. Let m(f) = 2*f**2 - 67*f + 199. Let z be m(3). Suppose 1199 = z*q - 369. What is the least common multiple of i and q?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-893)\/76 + 12)\/((-1)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872) + -1*sqrt(3872))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p. Let h(o) be the second derivative of -o**6\/36 + o**3\/3 - 31*o**2\/2 + 67*o. Let i(g) be the second derivative of h(g). What is a(i(k))?\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d + 40. Let t be w(0). Solve -3*m - 5*a + t = -8*m, -3*a = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*o + 932, 2*n - 5*o - 367 - 113 = 0. What is the highest common factor of 92 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-30)*c*c*(c*c**(-5))\/c*c*c*c*c**(-2\/5)*c*c*c\/((c*c*c\/(c*c*(c*c\/(c*c\/(c*c**(2\/13))))\/c*c))\/c)*c*c*c**(-4\/7)*c*c*c**(-4\/9) assuming c is positive.\nAnswer: c**(-95258\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 200 = 0. Let m be (-2)\/(-6) - l\/12. Let z(w) = w**3 + 4*w**2 + 3*w - 2. Give z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148834183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 9 = -9*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/4*(-3)\/(((-135)\/120*10)\/(-6))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -6*p - 60. Let d(t) be the second derivative of -t**3\/2 - 19*t**2\/2 - t. Let z be d(p). Solve 2*n + 0*n = -5*x - z, -4 = x + n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -6066.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 92331.49ug?\nAnswer: 92331490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -2*k**2 - 1\/24*k**4 - 1\/6*k**3 + 0*k + 0. Let t(c) = -3*c**3. Let x be t(1). Determine v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -197553, -194589, -191625, -188661, -185697?\n\"Answer: 2964*z - 200517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 121338.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6616 is divided by 399?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982018769 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.399, -7\/3, -0.2, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 2\/5 (c) 1\/2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5041748 is divided by 9371?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -2 (c) -0.04 (d) 741 (e) -1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3 + m - 4*m - 3*m**2 - 9*m**2 - 6*m = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**3 - 2271*o**2 + 4813*o**2 - 2542*o**2 - 5*o**3.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2) - (2 + -1). Suppose -6 = 2*o - 4*p, 2*o + 0*o - 2 = 2*p. Let z = c - o. Sort 3, z, 2 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - s + 0*s + 4*s**3 - 6*s**3 + 4*s**4 to k*s**2 + f + o*s**4 + r*s + b*s**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (16 + 0 - (1 + 1)). Suppose 13*u - 12 = y*u. Sort u, -5, -6 in increasing order.\nAnswer: -6, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i - 5. Let j(w) = 32*w + 2571. Determine j(r) - 6*k(r).\nAnswer: -4*r + 2601","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*n - 1115732 = 0, -2*z = z - 5*n + 3347210. Let r = z - -435740. Round r to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 6. Let r be l(0). Suppose r*t - 3*h = 2*t - 25, 5*t + 40 = 2*h. Let v be -2*(-13)\/10 - 4\/t. What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + c. Suppose 0 = l - 0*g - g - 100, 0 = -c*g. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7351842 - 0?\nAnswer: 7351842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0885007 and -0.02.\nAnswer: -0.001770014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994699207 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 949 = -3*a, -2*g - 329 - 632 = -3*a. Does 36 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/26*(-4771)\/(-2936)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h. Let o(j) = -8*j**2. What is r(o(u))?\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-12 + 6 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:23 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(135\/198)*7\/42*9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -19, -4\/27, -1\/3?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142698 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b09a2 - -4aa?\nAnswer: 1b1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 6) to base 2.\nAnswer: 1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-4)\/(-4) - (2 + 177). Let q = -113 - i. Suppose 11*h = 10*h + q. What is the greatest common factor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 124. Let q be -2*j*(-5 - (-68)\/14). Factor -12\/7*b**2 - 40\/7*b - q.\nAnswer: -4*(b + 3)*(3*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 1270 + 2342. Suppose -4*n + y = -140, -n + 2*y = 4*n - f. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3\/(-6) + 2). Suppose -c*w = w - 8. Suppose 0 = 4*o - 16, x + 52 = 5*x - w*o. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 6. Let j be q(-2). What are the prime factors of 2\/(j\/5)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/2271287 + 74952478\/15899009. Solve 32\/7*n + l*n**2 + 0 + 1\/7*n**3 = 0.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 17*x**2 - 5*x - 12. Let w be t(9). Let l = 577 + -313. Calculate the greatest common factor of w and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10916 is divided by 192?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*z**2 + 111*z**2 + 0*z + 1 + 2224*z**3 + 4*z - 3*z as h*z + a + l*z**2 + k*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -27953.37.\nAnswer: -27941.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(-98)\/147?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225489331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from {z: 5, x: 3, i: 5, c: 2, f: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r, 0 = 2*t - 3*r - 15 - 1. Let l = 8 - t. Let d = -56 - -60. Sort d, -1, l in increasing order.\nAnswer: l, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from tayeapewy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 6:48 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z**4 - 195052*z**3 - 446438540*z**2 - 235515773844*z - 58851044100 = 0. What is z?\nAnswer: -1017, -1\/4, 14225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947.\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9774 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - -28)*(-4)\/6. Find the common denominator of 95*2\/(-8)*4\/(-110) and 6\/w - 621\/460.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5185 is divided by 698?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169521 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 - 2*g**3)*(-2 + 4 + 2) + 0*g**2 + 0*g**2 + g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9562979.999955 - -9562946. Let b = 7.3 + 26.7. Let j = b + a. What is j rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2. Let k(r) be the first derivative of 57*r**3 - 55*r**3 - 9 - 23 + 8*r**2. Determine k(o(l)).\nAnswer: 24*l**4 + 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)*d**0*d**(-5)\/(d*d**(-19)*d))**(-41) assuming d is positive.\nAnswer: d**(-861\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20466 divided by -5?\nAnswer: 20466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - 2*s**2)*(2 + s**3 - 2) + (-10*s + 17*s + 6*s)*(s**4 + 0*s**4 + s**4) - s**5 + s**5 + 2*s**5.\nAnswer: 29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374569624 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102 (base 3) to base 12.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 487*j = 2107 + 1829 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Suppose -2*f + 191*a = 188*a - 12, 0 = -3*f - 3*a - 27. Let d(z) = 9*z - 4. Give f*y(v) + d(v).\nAnswer: 6*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + n + 0 + 1 = 0, 0 = -s + n - 1. Let k be 1 + s\/2*2. Let u(b) = -2*b**2 + 9*b - 5. Let o be u(4). Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6))**(2\/73)*d**(-1\/5)*(d**(2\/7)*d)\/d assuming d is positive.\nAnswer: d**(709\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -144528, -289054, -433580, -578106, -722632?\n\"Answer: -144526*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2713 + -2718. Which is the second smallest value? (a) -1.2 (b) -3 (c) -1\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let w be z(-7). Suppose 2*t - 2*i = 218, -w*t - 3*i = -128 - 75. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 5. Let q = 24 + -20. Suppose -r = -q - 1. Determine p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*s - 40, -3*s + 4*s + 42 = -4*m. Let x be (-16 - m\/5)\/(4\/(-6)). Solve -3*w - p = -7*w - x, -5*w - 5*p + 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnm when three letters picked without replacement from qwqqqmqqmmnwmqmmmo.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22819 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a425b7 + -4?\nAnswer: 2a425b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -82006 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2380439303 to 3 dps.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -98. Sort 2\/13, 4, w in descending order.\nAnswer: 4, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24847128*0.3\nAnswer: 0.074541384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1aa1b + 159?\nAnswer: -b1a882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2) - (45 + -3). Let w be 63 - (-4)\/((-16)\/(-12)). Let g = w + c. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, v: 1, g: 1, o: 1, s: 8}. What is prob of picking 1 g, 1 o, and 1 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041901 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/272)\/(-1) + 70\/595\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98601983.\nAnswer: 98601983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + -5 + (sqrt(3) + 1 - sqrt(3)) + sqrt(24)\/(sqrt(8) + (2*sqrt(8) - sqrt(8))*6)*-6.\nAnswer: -4 + 71*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10766995 is divided by 250395.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -24 + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 55 + 72*p**3)*(22*p - 2 - 18*p - 11*p) - 4*p**4 - p**4 + 3*p**4 + (-3*p + 3*p + p**3)*(-1 + p + 1) + p**4 + 0*p**4 + p**4.\nAnswer: -503*p**4 - 144*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 175*m**4 - 1915*m**3 + 7925*m**2 - 7080*m - 17100 = 0. Calculate m.\nAnswer: -1, 5, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-6\/11)*h)\/(h\/(h**1*h))*((((h**0\/h)\/h)\/h)\/h)**(-46))**37 assuming h is positive.\nAnswer: h**(76738\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 70 + 102)*(0*c**3 + 0*c**3 - 3*c**3).\nAnswer: 204*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 408*r**3 - 1631*r**3 + 2*r**2 + 407*r**3 - 5*r + 404*r**3 + 411*r**3 as i*r**2 + f*r + v*r**3 + h and give h.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 27810*b + 2707007. What is l(97)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = -0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and 577.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596085227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1664)*-1)\/(sqrt(10)\/sqrt(5)*6))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280366 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405426 = -5*s + 346439. Let b = -318373 + s. What is b rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1265, 3, -1 in decreasing order.\nAnswer: 1265, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9 + n - 7.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256*l + 26*l**4 - 135*l - 135*l wrt l.\nAnswer: 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/4 + 36*z**2 - 303*z + 684 = 0.\nAnswer: 4, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1497 - 28387\/83832. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6065045100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 259*h - 4 + 259*h - 510*h. Let t(w) = 7*w + 1 + 2 + w + 0*w - 15*w. Suppose 2*s - 3*g - 21 = 5*s, 3*s + 4*g = -23. Give s*z(m) - 6*t(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -395*m - 1. Let o(v) = -209*v. Let y(s) = -2*a(s) + 5*o(s). Let n(q) = q**2. What is n(y(p))?\nAnswer: 65025*p**2 - 1020*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2265 and 69\/1160.\nAnswer: 525480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 286 = 1354. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222958*k**3 + 30418502*k wrt k?\nAnswer: 1337748*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3306 = 2*b. Let j = b - -736. What is the remainder when j is divided by 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/5, 2, -1\/7, 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287104 is divided by 284704?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -4*n**3\/3 + 1. Let d = 43 + -39. Let u(m) = -6*m**2. Let j(v) = v**2. Let b(a) = d*u(a) + 22*j(a). Determine b(y(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 7) to base 11\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -3) + 1494\/(-83). Let w(p) = 9*p + 32. Determine w(i).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**5 - 155*x**4 + 13447*x.\nAnswer: 100*x**3 - 1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s. Let w(q) = -26*q**2. Give k(w(h)).\nAnswer: 286*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.01 (c) 4207 (d) 1\/2 (e) -0.2 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/54950 and 11\/54950.\nAnswer: 54950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c)\/c)**4)**(14\/11)*(((c**6*c*c)\/c)\/((c*c**(-2\/7))\/c))\/((c\/c**0)\/(c\/(c*c\/c**(-1\/5)))) assuming c is positive.\nAnswer: c**(178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**5\/20 - 4*o**3\/3 - 4*o + 8. Let f(k) be the first derivative of u(k). What is the second derivative of f(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**2 + 80*i + 288. Calculate r(-5).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((6\/44)\/(2\/(-4)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (-5 + -12 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11888.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, -5, 46 in decreasing order.\nAnswer: 46, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18591652, -37183305, -55774958?\nAnswer: -74366611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/5))\/(d*d*d*d*d**(-23)) assuming d is positive.\nAnswer: d**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16886.9 and -1759729?\nAnswer: 1742842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12138277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12393*k**2 - 27540*k - 11016. Let x(t) = 2*t**2 + 5*t + 2. Determine o(c) + 5508*x(c).\nAnswer: -1377*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988038.4ml to litres.\nAnswer: 988.0384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -20*b + 120. Let w(t) = 18*t**3 - 2*t. Let m be w(-2). Let k = 320 + m. Calculate the highest common factor of b and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 10:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -7*o**5\/15 - o**3\/6 + 22*o**2. Differentiate l(i) with respect to i.\nAnswer: -56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3013262 and 163\/37842?\nAnswer: 153676362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n**2 - 12*n**2 + 38*n**2 + n**3)*(-208*n**2 - 29*n**2 - 151*n**2).\nAnswer: -388*n**5 - 20952*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/12, -14\/17, 1, -48, -4.\nAnswer: -48, -4, -14\/17, 1\/12, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 1\/6, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12*1 + (-33)\/(-44)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*j = -0*j + 6, 4*g = -3*j + 5. Suppose -2*v = -5*v - 3*o + 9, -g*o = -4*v - 6. Solve -4*i - 4 = 0, -5*u + v = 2*i - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 6\/7, 88, 289 in descending order.\nAnswer: 289, 88, 6\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4105.33+-5.2\nAnswer: 4100.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 - 8*y - 4. Let n(z) = 9*z**2 + 8*z + 5. Let h(k) = -5*a(k) - 4*n(k). Find the second derivative of h(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -427 - -427.00006352. Round f to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43141033 by 3318541.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13433 + -15605?\nAnswer: -31240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 1. Let h(q) be the second derivative of q**4\/12 - 2*q. Let y(l) = -5*h(l) + 4*u(l). Suppose 213*j = 214*j + 3. What is y(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/76707925?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 4 (c) -2\/3 (d) -1\/12 (e) 0.4 (f) -4801\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83, 92, 113, 152, 215, 308, 437?\n\"Answer: a**3 + 2*a + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2225*c - 42976 = -129751 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/474761 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iig when three letters picked without replacement from fzffifimigffffiifa?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1508*m - 48 = -1496*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -132649.08542 to the nearest ten.\nAnswer: -132650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4115286 and 1197?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 44. Suppose -2 = 2*j, 5*s - j + 66 = 3*j. Let w be 8\/6 - s\/21. Solve 0 = -w*k, a*b = 4*b + 5*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3185 = j - 1371, -25 = -5*b. What are the prime factors of j?\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w + 37*w - 2004*w**2 + 2005*w**2)*(2*w + 43*w**2 - 2*w).\nAnswer: 43*w**4 + 2193*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -110. Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.3 rounded to zero dps?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-63))\/(-2))\/((-55)\/1122*-17).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*k + b + 312, 234 = 3*k + 2*b. Let n be (14\/54)\/(13\/k). Is n > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y**2 + 0*y**3 + 10*y**3 - 6*y**3 - 5*y - 9*y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -520?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5715 and 18187035.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5.4, -1.\nAnswer: -5.4, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (107 - 6) + (108 - (204 - 96))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 16. Calculate j(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*-6)\/(-5*(sqrt(40)\/sqrt(4) + sqrt(10) + sqrt(10))).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, -1, 1.9, 5 in descending order.\nAnswer: 5, 1.9, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.4 + -10.3. Let b = 2533\/13 + -195. What is the closest to b in 4, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*z = 7*z + 83600, 6*l = 3*z - 100311. Round l to the nearest one hundred.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**(-15\/7)*p**1\/(p*p**6\/p*p))**(1\/2) assuming p is positive.\nAnswer: p**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 45. Calculate the common denominator of 61\/24 and 370\/i + (-4 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-1 + sqrt(176) + sqrt(176) + 4 + 4 + (1 + 1 + sqrt(176) + 2)**2).\nAnswer: -2985 - 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -13. Let a(l) = l**2 + 6*l + 5. Let n be a(q). Is 16 - (-6 + (0 - n)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/14 - 12\/42. Let m be (p\/(-3))\/((-2)\/9). Suppose w + m*d = 3*w + 12, 2*w = -3*d + 12. Is 1\/7 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 + 1060*g - 1056 = 0.\nAnswer: 1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -28339\/61?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1531 + 746 + 2*a + 751)*(2 - 5 - 5) - 2 + 4 + 3*a - a as q + l*a and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150048912 and 15676752.\nAnswer: 1050342384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 12.5 (c) 10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 90 = 0. Is (-780)\/c*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 < 3522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2891\/1926 - 1\/963. Let j = -2 + 2.4. Let f = -0.6 - j. Sort q, -3\/7, f.\nAnswer: f, -3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 783.2263 centuries?\nAnswer: 78.32263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvhhhhvv. Give prob of picking 4 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, x: 4, f: 2, d: 2}. What is prob of picking 1 x and 2 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11325752 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxkx when four letters picked without replacement from {r: 4, o: 1, e: 1, k: 7, x: 2, a: 5}?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -41*n + 92. What is the lowest common multiple of a(2) and (-2469)\/(-12) - (-6)\/24?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 + -4)*697\/(-2091)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 6*j. Let l(m) = -17*m + 9 + 14*m + 6*m. Let z be l(-5). Let f(b) = -b. Suppose -3*q + 5 = 2*q. Determine q*a(o) + z*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + 4\/8. Find the common denominator of 1\/25*190\/4 and -67*(-2 + z)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crnccairaaa. Give prob of sequence cr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -2\/7, -2\/37, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2)*(0*r + 2*r - 4*r)*(-13 - 62 - 57)*(145*r - 86*r + 15*r) to f*r**2 + v*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -813 - -818. Solve -v = v - d - 1, r*d + 12 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.072005 millilitres in litres?\nAnswer: 0.003072005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Suppose -4*y - 32 = -4*t, 0 = y + 3*t - 2*t + 8. Let j(l) = 4*l - 28*l + 2*l**2 + 16*l. What is y*d(b) + j(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y + 3*x - 16350, y + 3270 = -3*x. Let g = y + 5849. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 19. Calculate the common denominator of 42\/u + 2\/6 and 52\/128 + (-4)\/(-2).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.8 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:49 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(112) + 0)*2*-1 + (sqrt(112)*-3*-4 - sqrt(112) - sqrt(112) - sqrt(112)) + sqrt(112) + 1 + -1)**2 + 2.\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 298\/(-8))\/(36\/(-768))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31647 + 50950. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77897961 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.8, 435 in ascending order.\nAnswer: 3\/7, 0.8, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 345, 523, 701, 879?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -2*s - 2*s - 5*b, -5*s = -3*b - 335. What is the remainder when s is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let b(y) = -2*y**2 + 15*y - 20. Let a be b(6). Let w(u) = -u + 1. Let i(s) = a*n(s) + 2*w(s). Let t(c) = -2*c - 3*c + 4*c. Calculate i(t(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 6 - 1686*x - 3*x**3 - 1685*x + 3372*x as b*x**2 + y*x**3 + t + c*x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + w**3 + w**3)*(-1 + 5*w**2 + 1 + 2*w**2 + 2*w**2 - 3*w**2 + (0 + 0 - 2*w)*(-1 + w + 1)).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}