diff --git "a/data/dm_maths/full_data/10663_11255.jsonl" "b/data/dm_maths/full_data/10663_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10663_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z be ((-500)\/(-184))\/5*(-1536)\/(-120). Which is smaller: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 1\/((4\/(-36))\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/(-4) + -2)*4. Suppose 0 = 4*n - 148 + 44. Let o = n - b. Solve -3*y = 16 - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247287 and 878695?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 77.\nAnswer: -1309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 q when three letters picked without replacement from {l: 1, g: 7, q: 1, e: 2, s: 2, r: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - -31 - (-17 - -1) - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 4. Let l be p(-7). Let u(o) = -2*o + 5. Let t(a) = -a + 3. Let y(h) = l*u(h) + 5*t(h). Let g(d) = 5*d. Determine g(y(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222209745\/8 or -27776219?\nAnswer: -222209745\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.03 + 0.03. Let a = 15.95 + v. What is a rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*m - 63. Let r be 6\/33 - 933\/(-11). Suppose -5*g + 2*f + r = 0, 0 = -3*g + 2*g - 3*f. Solve -g = m*t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 5*t = 16*o + 41, o = 5*t - 29. Sort o, 0, 3, 4, -10.\nAnswer: -10, o, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 6 - 15) + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 9. Let o be 4413\/39 - -5*4\/(-130). Let m = o - 110. Let i(l) = -l + 5. What is m*d(p) - 5*i(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0 + 1\/8*z**4 + 0*z - 1\/112*z**8 + 0*z**3 + 4*z**2 - 1\/35*z**7 + 0*z**6 + 1\/10*z**5. Find g such that t(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1011001110000111110100100010?\nAnswer: -1011001110000111110100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 5*b. Let l(u) = -102*u + 1. Let v be l(b). Let m = v + -54. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.9 + 158.9. Let u = -134 + d. What is the fourth biggest value in u, 2\/17, 0.3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -35. What is the remainder when 23 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -22.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, a: 1}. Give prob of picking 3 t and 1 a.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.798107 decades in millennia?\nAnswer: 0.08798107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/78*92\/(-23).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080849891?\nAnswer: 4339, 479569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 361*n**2 - 1648*n - 78676. Calculate k(-357).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsjmssmm. What is prob of sequence ssj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3810866 take away 0.6169?\nAnswer: 3810865.3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + q**2 + 3)*(-9 + 30 + 13)*(2*q - 2*q + 2*q) as k*q**2 + s*q**3 + n + l*q and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let g(c) = -6*c - 2. Let i(j) = -g(j) + 3*s(j). Let q be i(3). Let p = 13 + q. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(sqrt(20)*-1 - sqrt(20)))\/(sqrt(4) + (sqrt(36) - (sqrt(36)*-2 + sqrt(36)))\/sqrt(9))*-1)*3.\nAnswer: -6 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/1013 + -601737\/5065. Are -119 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27755 - -27838.678. Let z = k - 84. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97390493 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 + 1\/12*x**4 + 1\/3*x**3 + 1\/180*x**6 - x**2 + 0*x + 1\/30*x**5. Let n(j) be the first derivative of k(j). Factor n(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 10. Let d(v) = -8*v + 31. Let q(k) = -k**3 + 2*k**2 + 39*k - 116. Let j be q(5). Determine j*d(x) - 11*l(x).\nAnswer: x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -610 * -181\nAnswer: 110410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/56 and -59\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.12 + -36.92. Let d = 81 + -115. Let x = d - k. Round x to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46097 and 5948.\nAnswer: 184388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3597 and 4251?\nAnswer: 46761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.71 and -140023398.6.\nAnswer: -140023397.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q - 2*q**2 - q**2 - 2496 + 2498 + 4*q**2 + 2*q**3 to the form t*q**3 + w*q**2 + z + a*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3529*r + 1654*r + 5581*r**3 - 3517*r wrt r?\nAnswer: 33486*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 48*i**2 + 2*i - 2. Let f be u(1). Calculate the highest common factor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -2*h - 2835. Let o = h - -545. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -14. Suppose -4*j + 2*u = r*u + 36, 0 = -2*j + u - 22. Let f be (-3)\/j*2\/(-3). Is f >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(-28)\/(-7)*(-18)\/144?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/((-2)\/(-381)). Let z = 387 + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 - 183. Let l = 1094 + r. Suppose 2*q - l = -q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/5 (b) 0.11 (c) -2\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10)*(-3 + 2 - -16). Solve -16 - q = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -48 + 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 72*y - 3 + 92*y.\nAnswer: 20*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 1, v: 1, k: 2, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -605 divided by -121.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let g(t) = 3*t + 6*t - s*t - 4*t. Let w(a) = -7*a**2. Determine g(w(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136617 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118125\/(-3150)*(-2)\/(-9).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 - 0.7. Let g = -3.4 - -3.8. What is the smallest value in x, g, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 98.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9019, 18042, 27067, 36094, 45123, 54154?\nAnswer: 63187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200)*2 - (5*sqrt(220) - sqrt(220))\/sqrt(10))\/(4*(4*-2*sqrt(1584) - sqrt(1584))).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2 - 1)*-2. Suppose 7 = -o*y - 2. Let f be 1\/y - (-6)\/(-18). What is the biggest value in f, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -13*g + 103. Let z(r) = 10*r - 1. Determine -o(i) - 2*z(i).\nAnswer: -7*i - 101","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/41 - -134\/533. Let n be 206\/(-52) - (-4)\/1. Which is the second biggest value? (a) m (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 4 + 1)*(-1 + 1 - x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174728 * -0.4.\nAnswer: 69891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8491.\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 6*z - 3. Let v be n(5). Let f be (-1)\/v*(-3 - 15). Is (4 - 13)*(-33)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 7*g**6\/180 - 3*g**4\/4 - 6*g**2 - 5. Let i(y) be the second derivative of o(y). Let f(q) = 2*q**2. Calculate f(i(x)).\nAnswer: 1568*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 35*s - 7*s + 24*s)*(3*s**2 - 1 + 1) to d*s**2 + b*s + r*s**3 + p and give r.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 37, 3, 645, 1 in ascending order.\nAnswer: -9, 1, 3, 37, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46378642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54922119.\nAnswer: 3, 7, 347, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*((-8)\/1)\/264.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1 + (-1 + 0 - 1)*(1 + 2 - 2) - 3 + 0 + 1)*((-4 - 1 + 3)*(2*v**5 - v**5 - 2*v**5) + 4*v**4 + 2*v**5 - 4*v**4).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2885 divided by -172.\nAnswer: 2885\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2523559883 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-8)\/10)*22. Let v(o) = -11*o - 7*o**2 - 6*o - n*o + 36*o - 7*o. Let g(f) = -5*f. Give v(g(u)).\nAnswer: -175*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003741 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 - 103*i**2 - 208*i - 6. Calculate h(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*p - 105*p**3 + 59*p + 678*p**3.\nAnswer: 573*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 29 = -4*u, -3*u = -r - 8. Let o = r + 18. Solve 0 = -o*l + 4*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143\/39 - 4\/6. Suppose g*c = 7*c - 48. Let o be (-47)\/(-4) + 16\/64. What is the highest common factor of o and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4184\/65 - -842\/13. What is the second biggest value in 181, 0, -2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dededdd. Give prob of picking 3 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -28570527218480.\nAnswer: -28570527218478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*k - 91 = -2*k, -382 = -4*w + 2*k. Let c = 149 - w. Let s be (-392)\/(-18) + 12\/c. Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3913 is divided by 1301?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, -4, -1317?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 1 = q - 5*l, -16*l + 95 = -q + 44 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - -2. Suppose -72 = -n - 68. Suppose -7 = -4*i + 5. Which is the second smallest value? (a) v (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94215.5111 to the nearest one hundred.\nAnswer: -94200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -317*h**4\/12 + 221*h**3\/6 + 576*h**2. Find the first derivative of b(l) wrt l.\nAnswer: -634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g + 565. Let n(w) = 8*w - 468. Let o(t) = -5*k(t) - 6*n(t). Calculate o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/125)\/((-16)\/10)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**6\/40 + l**5\/10 + l**4\/8 + l**2\/2 + 4. Let v(a) be the second derivative of d(a). Suppose v(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Let z(t) = -t**3 + 5*t**2 - 3*t - 4. Let w be z(i). Suppose w = -0*c - 2*c + 2. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69685139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -96. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70964226?\nAnswer: 2, 3, 113, 139, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((196\/7)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 7*a + 2. Let n(o) = -o. Give -m(q) - 3*n(q).\nAnswer: -4*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1026*x**2. Let l(m) = 2*m. Determine f(l(b)).\nAnswer: -4104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 950 - 664. Suppose -4*c + 1036 = 4*p, c - p + 21 = q. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23109 - 46217\/2. What is the third biggest value in g, -2, 13\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/93*3\/10. Find t such that 1\/5*t**3 + 0 + n*t**2 + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a + 8. Let g = 3 + a. Solve -5*v + 20 = g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12454 - 240?\nAnswer: -13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1209 - 835. Does 17 divide z\/(-3 + (7 - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 119. Let m = -38 + 34. Which is the nearest to m? (a) 2 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/49, 2\/7, 3\/2, 2 in increasing order.\nAnswer: -3\/49, 2\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-148))\/(6\/72). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -3\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.96 + 4. Let f = -0.64 + c. Let r = -1.2 - f. Round r to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 0.09, 3, -4, -2, 1701, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19133 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7051 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + u + 2. Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and -45*(7 + (-184)\/24).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + z - 12, 5*o + 51*z = 53*z - 33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9880.\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.9. Put w, -0.3, 0.5 in ascending order.\nAnswer: -0.3, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/778 or 1?\nAnswer: -5\/778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7632458 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 4*f = 2110. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 56*z - 63*z. Solve -4*t - j - 2*j = 17, 0 = t - 2*j - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (78\/(-5))\/((-51)\/680). Let a = 213 - p. Let s = 51 - 6. Calculate the greatest common factor of s and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311 + -302. Suppose 0 = -24*a + w*a + 3060. Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 2120?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-3)*(-45)\/(-10). Let n be ((-12)\/(-15))\/((-6)\/h). Suppose -10 = 2*f, c + n*f - f = 7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38*(-55)\/(-1045))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-259)\/(-777))*-1*63\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2, -40*p + 2*v = -43*p - 35. Let b be (589\/(-38))\/((-3)\/(-2)). Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176886 (base 12) to base 7.\nAnswer: -3306345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 180?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 35 = 2*m, 3*y + 2*m = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 290 - 2340 = 0. Which is bigger: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let f(x) = -1 - x**z - 6*x + 9 - x. List the prime factors of f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = n + 109. Find the common denominator of -29\/3 and (n\/(-333))\/((-10 - -7) + 1).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149370 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by 10137.\nAnswer: 29\/3379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.8, -1, 1, 5, 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/5 - 4263*o**2\/5 - 6057723*o\/5 + 3116. Factor z(t).\nAnswer: -3*(t + 1421)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3\/4, 2, -3\/7, 0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 2*y**2 - 4*y. Let q be -6*12\/18 - -4. Let t be k(q). Factor 0 + 2\/13*l**3 + 0*l + t*l**2 + 2\/13*l**4.\nAnswer: 2*l**3*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5016 - 5018. Sort 162, 4, 2, -4, h.\nAnswer: -4, h, 2, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/2453 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2024200)\/261 - (-8)\/(-18). Let u = s + 426647\/55. Find the common denominator of u and -18\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:58 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29886?\nAnswer: 2, 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2203144 - 24450?\nAnswer: 2134254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 239673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (-2 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7711965 divided by -5\nAnswer: -1542393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:14 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9090 to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 364 - 362. Put -126, 1, h in decreasing order.\nAnswer: h, 1, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(8)*1)\/sqrt(6).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s + 2*f, -66*f = -5*s - 65*f + 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238 + 475\/2. Which is the closest to 0.1? (a) 1\/5 (b) -107 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415 + 978. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47504 divided by 4.\nAnswer: 11876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 0.2 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 5. Let f = -1 + -5. Let n(h) be the first derivative of -h**4\/2 - 6*h + 59. Let o = 4 - -1. Give f*l(k) + o*n(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-225)\/2430)\/(30\/(-21))*38*-2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2835 (base 9) to base 8.\nAnswer: -4132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6179198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -44*y - 248. Let q be z(-8). Calculate the highest common divisor of q and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 25*g + 10. Let k be o(-13). Which is the third smallest value? (a) 0.1 (b) 2\/13 (c) 0.2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 463868?\nAnswer: 463872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.825705ml to litres.\nAnswer: 0.009825705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58056.\nAnswer: 2, 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -28, -4, -16, -2 in decreasing order.\nAnswer: 4, 2, -2, -4, -16, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 26230 = -30*h + 546764. What is the least common multiple of h and 20?\nAnswer: 70740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 515*a**2\/2 + 42*a - 273. Differentiate p(l) with respect to l.\nAnswer: 515","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37001 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let b(x) = -26*x - 16. Let u be b(-1). Let d(r) = -14*r + 4 + u*r - 5 + 0. Give -d(h) + y(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120002200000 (base 3) to base 8\nAnswer: -1104345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.43 and -790.876585.\nAnswer: -811.306585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 - 178236*i**3 - 45*i**2 - 81098904*i wrt i?\nAnswer: 36*i**2 - 1069416*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(72))**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(21)\/(((sqrt(28)*2)\/sqrt(4) - sqrt(7)) + sqrt(7)).\nAnswer: sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-12.5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - x - 42 = 0, -b - 24 = -0*b + 2*x. Let l be 10\/4*20\/(-10). List the prime factors of (-2)\/l + (-252)\/b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79402903*j**6 - 2*j**2 + 2*j + 1415796?\nAnswer: -9528348360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1928?\nAnswer: -1\/1928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 21*x**2 - 7*x**2)*(3*x**3 + x**3 - 7*x**3) + 0*x**2 - 2*x**5 + 0*x**2.\nAnswer: -29*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:46 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/11408*8*-2.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixixoix. Give prob of picking 2 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -99*11\/((-792)\/16). Suppose 9*c + b = 40. Solve -a = 2, -c*h + 2*a = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(-6) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, g: 11}. What is prob of sequence srg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5984 - -6012. Solve i*o = -15*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.62375372 and 0.07?\nAnswer: 4.55375372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053) + 4 + 0 + 4)**2.\nAnswer: -288*sqrt(13) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 + 8178*w**3 + 10664484*w**2 + 4313395672*w - 4324068336 = 0. Calculate w.\nAnswer: -1646, -798, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.013 - 0.013. Is r != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.9 - -65. Let c = 1.4 + y. What is the nearest to c in 2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(6\/(-186)). Calculate the highest common factor of 248 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 32*m**2 + 94*m - 4613. Calculate q(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28) + sqrt(7))**2 - (-3 + sqrt(28)).\nAnswer: -2*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258.25805us in weeks?\nAnswer: 0.000000002080453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-42)\/(-35) + -1). Solve 15*n - 10*n = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 16*n + 656. Solve -36*u = -n*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -113 (b) 0.2 (c) 3\/7 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 7*q**2 + q - 7. Let u be p(7). Suppose -4*b = -5*v - 56, -b + 14 = -u*b + 3*v. What is the highest common factor of 98 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/18) + (-36)\/12. Let d(f) = 6*f**3 - 2*f**2 + 2*f - 2. Let l(p) = 7*p**3 - 3*p**2 + 3*p - 3. Calculate v*d(a) - 4*l(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620.6693mm to micrometers.\nAnswer: 620669.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 1428*w**5\/5 + 895*w**3\/3 + w**2 - 680. Find the third derivative of y(v) wrt v.\nAnswer: 34272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 412.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -2, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5122, -10332, -15542?\nAnswer: -20752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(2\/9)*g)\/g)\/(g**(-8)*g))\/(g**(-8)\/g*g**6*g))**30 assuming g is positive.\nAnswer: g**(830\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14671781\/120663 - -3283\/27. Let z = 35722\/67035 - q. Do 0 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqqlqqqqqq. Give prob of sequence qk.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 25 = -4*c. Let j(k) = -7*k**2 + 3*k - 2. Let s(x) = 6*x**2 - 3*x + 2. Let y(m) = 5*j(m) + 6*s(m). What are the prime factors of y(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*x - 3247 = -38*x + 33*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 48. Suppose -5*l - 2*c + 77 = -0*l, l + c = 16. Calculate the remainder when j is divided by (10\/l)\/((-2)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 16*o + 24. Let n be k(-17). Suppose 4*l + n = 99. Solve -3*t + 2*r + l = 0, -t = -0*t - 2*r - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10076071 + -21621762. Let n = -11545690.90000001 - d. Let l = 0.1 - n. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -0.5 (c) -3\/31 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaanaaaauuauaau. What is prob of picking 1 n and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) -5 (d) -1 (e) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -595.\nAnswer: -178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25832 divided by 4\nAnswer: 6458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.99 - -9. Let b = m - 0.01000208. Round b to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 5*b + 3 + 3*b**2 - 4*b**2 + 0. Let y be a(5). Let m be (-39)\/(-15) + (-4)\/(-10). Solve -y*f + 6*f = w - 9, -m = f - 5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1. What is the closest to 2\/3 in -5, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3875 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 * -0.0705.\nAnswer: -0.0058515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -59. Let w(b) = b**3 + 8*b**2 - 9*b + 3. Calculate the remainder when w(-7) is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 85*f**2 + 127*f - 164. Give c(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r*r)**(7\/12)\/((r\/r**(2\/7))\/r*r*r**(-4)) assuming r is positive.\nAnswer: r**(118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + m = -5*o + 6, o = 5*m + 6. Let j be (27\/(-6) - -2)*2. Put o, j, -1 in ascending order.\nAnswer: j, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Let i = 18 - w. Let l = 2 + i. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*i**2 - 3*i**2 + i**2)*(5*i + 0*i - 3*i) - 3*i**2 - 2*i**3 + 3*i**2 + (-1 + 2 + 1)*(-3 + 2*i**3 + 3) + 0*i**3 - i**3 + 2*i**3 - 2*i**3 + 3 - 3.\nAnswer: 3*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/40*-13 - 655\/(-50)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -905132 in ascending order.\nAnswer: -905132, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaha when four letters picked without replacement from haaaaaahah?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*3*2)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(85) - (sqrt(85)*3*3 - sqrt(85)))\/((sqrt(55) + -1*sqrt(55)*3)\/(sqrt(33)\/sqrt(3)*3 + sqrt(11))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -66.9. Let c = -4 - u. Suppose -2*y = -12 + 44. Is y greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61, -70, -101, -166, -277, -446?\n\"Answer: -2*d**3 + d**2 + 2*d - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872053324?\nAnswer: 2, 218013331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = -5*a, 1691*g - 6 = 4*a + 1686*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let s be u(9). Let g(o) = 3*o - 3 + 2*o**2 + o**3 - s*o + 7*o. Determine g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3157 and 631926317?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 524034700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + (-3388)\/(-88))*16\/(-84)?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2. Let z(v) = -12*v. What is o(z(t))?\nAnswer: 864*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3\/(-5))\/(84\/1050)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p. Let z(u) = -81*u + 38*u + 38*u. Give z(v(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -81*f + 6. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 110540*n**4 - 663125*n**3 + 1436690*n**2 - 1326140*n + 442040 = 0. What is n?\nAnswer: 1, 2, 22102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-13))**(-9\/2)*h**(-27)\/h*h**(-1\/30)\/h assuming h is positive.\nAnswer: h**(-2761\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0554 times 363?\nAnswer: -20.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1470)*-3*-6)\/(-2*sqrt(90)*4*-3).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 28776*d**2 + 46 - 12 - 170089*d**2.\nAnswer: -141313*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elddeleelleddl. What is prob of sequence ele?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*j, 0 = 3*f - 7*f + 2*j + 50. Suppose y - 4*x + 0*x = -17, -25 = -5*x. Suppose -y*i = 8 - 98. Calculate the greatest common divisor of i and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 72. Let q(r) = -r**2. What is h(q(u))?\nAnswer: -2*u**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 59 + 50 - 109 + i + i. Let b(u) = 8*u**2 + 2*u**2 - 4*u**2. Calculate b(c(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 87. What is l(-4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 261*z**2. Let p(v) = -3*v. Determine p(t(d)).\nAnswer: -783*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(0*p + 4*p - 2*p) - 4*p - p + 3*p + (0 + 3 - 1)*(2*p + p + 0*p))*(67*p**3 - 67*p**3 + 23*p**4)*(-1 + 1 + 6).\nAnswer: 1104*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24218\/9 + -2691. What is the nearest to t in 2, -1, -1\/8, 3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*d - 8 + 30, -t + 28 = 5*d. Let l be (-265)\/(-20) - (-6)\/8. Solve -2*s = r - l, -4*s + 2 = -3*r - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 265*s**3 + 5*s**2 + 3*s - 5. List the prime factors of w(1).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 97, -22, 3, -36 in increasing order.\nAnswer: -89, -36, -22, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) 276 (c) 0.2 (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -995 + 1038. Calculate the remainder when j is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*x**2\/5 - 109792032*x\/5 - 5582646\/5.\nAnswer: 2*(x - 930441)*(59*x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*p = 7, -r - r + 14 = -p. Let u(o) = o**3 - 4*o**2 - 3*o - 2. Let a be u(r). Does 38 divide (-34*(-18)\/8)\/(4\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*c + 716 + 1592 + 3768 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 70*t + t**2 + 6*t**2 - 9 + 10*t**2 - 9*t**2. Let u be m(-9). Solve -5*d = -u + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 71. Let h be (-21)\/(-55) + 4\/(-22) - 833\/(-85). Calculate z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 347464\/9*(-108)\/1008. Let i = -4140 - s. What is the common denominator of i and 1\/(-4) - (-89)\/84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*i = 60, 0 = 2*t + 12*i - 13*i + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 47, 71, 115, 185, 287, 427?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 14538?\nAnswer: 14539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 12:16 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*u + d, 5*u + 4 = d - 64. Let v(f) = -40*f - 84. List the prime factors of v(u).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkf when three letters picked without replacement from wfbwkohb?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*n = 0, 2*a - 5*n = 4*a - 4. Let o = 27 - 65. Put 1, a, o in increasing order.\nAnswer: o, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:19 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-675)\/(-125))\/(63\/(-210))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 1. Let h(r) = -37*r - 2. Let g(o) = h(o) - 4*j(o). Let c be (-2)\/(-2 + 0 - -4). Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - x + 3*x)*(4 - 7 + 4) to the form s + w*x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - 5. Let v = 2 - 2.04. Let z = v + -0.36. What is the smallest value in t, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2654*(28\/8 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639690 and 990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, 8109, -1, -4 in ascending order.\nAnswer: -5, -4, -3, -1, 5, 8109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 2 + 0*i**2 - 2*i**2 + 3*i**2. Let a be g(3). Let k = -7 + a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 1 + 5.\nAnswer: 6 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8208760 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1394 - -20933\/15. Let h = -4\/3 + m. Let z be (-4)\/(-3)*3\/(-10). Sort h, z, 1 in ascending order.\nAnswer: z, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239746264*a**3*h + 912716*a**2*h - 66*h wrt a?\nAnswer: -1438477584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 + 7*x**2 - 3*x + 4*x**2 - 19*x**2.\nAnswer: 10*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2*q**2 - q**2 - 2*q**2)*(20 + 2*q - 20).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50320 (base 7) to base 2\nAnswer: -10111110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 - (-55 + (100 + -2 - 51)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 0*z + 0*z. Suppose -2*y + 3*s + 31 = 0, -3*y + 4*s + 74 - 29 = 0. Suppose -3*c = r + 2*c - y, 0 = 2*r + c - 4. Calculate q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 467*g**2 - 11*g - 29. Let z(w) = -312*w**2 + 7*w + 18. Determine 5*d(j) + 8*z(j).\nAnswer: -161*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/2)\/(3\/(-3)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*q + 1 = -3, -2*h + 5*q - 21 = 0. Suppose -h*y = -0 - 6. Suppose -50 = -y*f - o, 4*f - 18 = 4*o + 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 26, -20 in ascending order.\nAnswer: -20, -10, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -k + 10*g + 433, 16 = 4*g. What is the greatest common divisor of 39 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87864 = -3*k - 2*c, -87864 = -3*k + 9*c - 13*c. List the prime factors of k.\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/93*(-25)\/25*-6*-1*1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 7 + 2*m)*(-82*m - 118*m**2 + 82*m) to the form c*m**3 + q*m**2 + f + p*m and give q.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 1. Suppose 3*y = -3*i, 3*i - y + 20 = -0*y. Calculate the remainder when t(i) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-28)*1 + 5610\/924. Let m(i) be the first derivative of 1\/3*i**k - 20 - 4\/3*i**3 - 3\/2*i**4 + 0*i**2 + 0*i**5 + 0*i. Solve m(g) = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -13*m**4\/4 + 10*m**3\/3 + 522*m + 511. What is the derivative of u(h) wrt h?\nAnswer: -39*h**2 + 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -450, 5, 4, -4, -3 in ascending order.\nAnswer: -450, -4, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937.3156 nanometers to centimeters.\nAnswer: 0.00009373156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 280008 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j - 1. Let k be s(1). Let u(h) = 343*h + 8. Let b be u(k). Suppose b = 5*f + o, 2*f - 472 - 350 = 4*o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let f(a) = 2*a**2. Let r(j) be the second derivative of 0 - 2*j + 0*j**2 - 1\/12*j**4 + 0*j**3. Let m(o) = 3*f(o) + 5*r(o). Determine q(m(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55842)\/1394 - (-29)\/493.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11681 + 11679. Let d(a) = 4*a - 1. Let p(n) be the second derivative of -n**4\/12 + 3*n**3\/2 - n**2 + n. What is c*p(v) + 5*d(v)?\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Let x(j) = 2*j**2 + 1011*j - 30. Determine g(x(u)).\nAnswer: 4*u**2 + 2022*u - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*y = -40738 - 990 for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-5)))\/(p\/p**(-4\/5))*(p*p**1)\/(((p\/(p**(-2\/13)\/p))\/p)\/p) assuming p is positive.\nAnswer: p**(328\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*s = 17342 - 2569 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -19.9992.\nAnswer: -33.9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -149857 < -149651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -7. Let u be m - (15\/(-5) + 1). What is the remainder when 45 is divided by (-20)\/6*(-48)\/u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15603 + 4515 = -77*n. What is the greatest common divisor of 3708 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350757 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 86*r + 478 = 1666 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432 (base 9) in base 16?\nAnswer: f9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -917680\/599 and -1531 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, 60, 49, 12, -51, -140, -255?\n\"Answer: -13*c**2 + 54*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215315.\nAnswer: 5, 43063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:03 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let k(h) = 357172*h**2. Calculate f(k(g)).\nAnswer: 357172*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from aqdwddwdadbqqwdqdw.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:58 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20086780*m**3*n - 30729288*m**3 wrt n.\nAnswer: 20086780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*g + 154 - 2106 - 374 - 74 for g.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32893 is divided by 803?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Let f(d) = 3*d - 12. Let n be f(t). What is the greatest common factor of n and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1083 by -1.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-78)\/(-8))\/1)\/((-1290)\/1720).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5. Let k be (-1)\/(-1*s\/233). Let p = -133 - k. What is the greatest common factor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**3 - 5*d**2 + 7*d - 21. Let p(a) = 5 + 8 - 2 + 2*a**2 - 3*a - 1 - 7*a**3. Let b(s) = 6*i(s) + 13*p(s). What is b(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(2*sqrt(175) + sqrt(175) - sqrt(175)))\/sqrt(5))\/((-2*sqrt(500) + sqrt(20))\/sqrt(4))*-2*5)**2.\nAnswer: 44800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2118.5 - 2071.5. What is the nearest to 25 in 1, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106*x**2 - 23*x**2 - 6*x**2 - 35 - 51*x**2 wrt x?\nAnswer: -372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**2*h)\/h)\/h*h*h)**(-3\/13) assuming h is positive.\nAnswer: h**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607518*p - 15014 + 30027 - 15013 - 607520*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.5. Let i be -13 + 4\/4 + 3 + 2. Sort i, -0.4, u in descending order.\nAnswer: u, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1997\/5 - 400. Does 2\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 28*t**3\/3 + t**2\/2 + 6*t + 13. Let s be q(-8). Suppose 0 = -19*a + 24*a - s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 5392?\nAnswer: -539c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(14\/3))\/k*k*k\/(((k**(-4\/7)*k)\/k)\/k)*k assuming k is positive.\nAnswer: k**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 58*t - 58*t)*(-5 + 3 + 3)*(-1 - 1 + 1) + 3*t**3 + 3*t**3 - 3*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*2*-5 - sqrt(1700)) + -2 - (-3 + -2*(sqrt(1700) - (sqrt(1700) - (-3 + sqrt(1700)))) + sqrt(1700)))**2.\nAnswer: 1000*sqrt(17) + 170025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -723 divided by -241\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -611a6 (base 11) to base 6.\nAnswer: -1525542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -400*i + 5. Let v(r) = 7600*r - 96. Let l(b) = 96*f(b) + 5*v(b). Let t = -5 + -2. Let o be l(t). Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r + d + 3, -d = 2*r + 1. Let c be -3 + 9 + -6 + r. What is the units digit of (7 - (-2 - c))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = -25. Let z be (-1)\/o - (-17)\/35. Let a = 1.8 + -1.8. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*-7*45\/(-315). What is the highest common factor of 917 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -806 + 802.2. Is -0.2 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1494, 3019, 4612, 6303, 8122, 10099, 12264?\n\"Answer: 5*h**3 + 4*h**2 + 1478*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7 - 5. Let v = -0.01 + 0.11. Which is the closest to k? (a) v (b) -2\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14704 times 4\nAnswer: -58816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(170) + -2*(sqrt(170) - (sqrt(170) - -2*sqrt(170))) + sqrt(170)))\/(sqrt(40)\/((sqrt(44)\/sqrt(11) + sqrt(4))*-3)).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -0.1 (b) 0.3 (c) -4 (d) -59 (e) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18865*i*z**2 + 10*z**2 + 1331*z - 2 with respect to i.\nAnswer: 18865*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let d(m) be the first derivative of 31*m**3\/3 + 158. What is t(d(n))?\nAnswer: -62*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 1, l: 19}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 80 + 128. Let w be -1 + (-10)\/15 + 1. Which is the closest to x? (a) 0.3 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 16, -92 = -3*h - 5*p + 20. Calculate the greatest common divisor of 28 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -76. Let x = 47 - g. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 + 2*b**5 + (3 + 5 - 6)*(b**5 - 2*b**5 + 2*b**5) + 2*b**3 + b**5 - 2*b**3 + 1596*b**2 - 30*b**5 - 1596*b**2 - 2*b**4.\nAnswer: -25*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227285 is divided by 238?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5256\/17 or 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45803, 45780, 45715, 45590, 45387, 45088, 44675, 44130?\n\"Answer: -3*m**3 - 3*m**2 + 7*m + 45802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/11 (b) 5 (c) 1 (d) 15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (3\/3 - -2). Suppose 5*k = 4*m, 6*k + 4*m = 4*k + 28. Let j = k - o. Solve -j*y + 1 = -3*v, -2*v = -3*y - 0*v + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -3\/7 (c) 0.2 (d) -255.1 (e) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 418\/5. Let f = -120.939 - 0.061. Let g = f + 126. Which is the nearest to i? (a) g (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 5 + j + j. Let x be 99\/7 + -13 + (-48)\/42. Determine w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*sqrt(6)\/sqrt(2) + 0 - ((0 + sqrt(363) + 2)**2 + 4).\nAnswer: -371 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -57. Which is the closest to q? (a) -0.5 (b) -2 (c) -0.4 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r - 2. Let a(v) = 0*v + 4*v**2 - v**3 - 6*v + 3*v**3 - v**3 - 7. Let t be a(-5). What is the lowest common multiple of f(t) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b + 64. Let j(o) = -4*o - 21. Let d(n) = -11*j(n) - 4*w(n). What is the remainder when d(-16) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-30)\/(-16))*(-204)\/(-136)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1233*b*f**2*j**2 + 17*b*f**2*j + b*j**2 + 129*b*j + 4*b - 6*j**2 wrt f.\nAnswer: -2466*b*f*j**2 + 34*b*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q = 63*q - 169 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4\/41, -7\/5, 0, -2\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 5*j**2\/2 + j - 21. Let f be p(-5). What is the nearest to f in 4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*59749995\/(-540) - (-4)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by 5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*v = -445, 5*p - 4*v - 1124 = -8*v. Let d = 130 - p. Is d\/(-2) - (-3 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7434280007?\nAnswer: 7, 11, 29, 1499, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h + 18. Let q = 160 + -10. Let j(x) = 261 - 7*x + 64*x - 18*x + q*x. Let b(s) = -5*j(s) + 72*o(s). Differentiate b(a) wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-20) - (-2)\/(-4). Let u(y) = -y + 4. Let h be (-8)\/28 - (-10)\/(-14). Let a be u(h). Calculate the highest common divisor of a and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/120 + h**5\/5 - h**4\/24 - 203*h**3\/6 - 601*h**2. What is the second derivative of q(j) wrt j?\nAnswer: -6*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 0.009 (c) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -0*v. Factor -1\/4*f - 1\/8 + 1\/4*f**3 + v*f**2 + 1\/8*f**4.\nAnswer: (f - 1)*(f + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-55) + (-399)\/(-77). Solve p*r - 21 = 2*v, 2*r = r - 4*v - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144724, -144723, -144722?\n\"Answer: g - 144725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 522 = 3301. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.95605531 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/5)*k**(4\/3))**19)**(-4))**(10\/13) assuming k is positive.\nAnswer: k**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101010011 + 11011100?\nAnswer: 1001000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -114*h**2 + 3*h - 14. Calculate g(1).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/241, 0.5, 0.03839, -46, 1\/5 in descending order.\nAnswer: 0.5, 1\/5, 0.03839, -2\/241, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**3*p*p\/p**1*p*p*p)\/(p\/((p\/(p**2*p))\/p)*p**(-4))*(p**(1\/3)\/p)**(-25)\/(p**(1\/3)*p*p*p**(2\/3)*p*p*p) assuming p is positive.\nAnswer: p**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.255 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from vlvvvvl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17058, -68379, -154120, -274449, -429534, -619543?\nAnswer: -844644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 41*b**3 - 2*b**2 + 3*b - 2. Let a be f(1). Find the third derivative of 3 + a*y**2 - 3 - 9*y**5 wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1341*t = -1336*t + 210, -5*b - 55*t = 2190 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -249082 (base 12) in base 7?\nAnswer: -5032235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 745048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-90) - (-1 - (-8)\/(-6)). Let v(f) = f**3 - 4*f**2 + 4. Determine v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2041 + 1?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 2*y + y)*(-2 + 1 - 1) - 6592 + 6592 - 363*y.\nAnswer: -353*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2786 and 14328.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 980*y**3 + 1988*y**2 - 2964*y.\nAnswer: -4*y*(y - 247)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {m: 4, j: 5, r: 1, w: 1, o: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 11*z**2 - 11*z + 3. Let p be f(-12). Let v = 7 - p. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 0*l**2 + 17*l - 8*l + 12 + 2*l**2. Let b be y(-8). Solve 3*t + 8 = 2*t - b*d, -4*t + 4*d = -8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/10)\/(62468\/(-4656))*((-5)\/(-1))\/1.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkzzzykktyzykz. Give prob of sequence tzkz.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -303237 (base 8) in base 6?\nAnswer: -2050543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 60. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**3 + 3*i**2 + 0 - 8*i + 11\/12*i**4. Find the first derivative of f(z) wrt z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3711922489 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - 165)*24\/(-152) + 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -58. Let s = z - 60. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:11 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114250 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04784 + -3.95216. Which is the fourth smallest value? (a) 8.4 (b) 4 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 85966580?\nAnswer: 85966583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 2\/7, -5, 34?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5141496216 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -376.171 + 376. Let k = t + 0.1710109. Round k to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*y + 0*y - 17 = 0, -5*r - 5*y + 25 = 0. Let t(l) = -l**3 + 8*l**2 + 10*l - 2. Calculate the remainder when t(9) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42510262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 782 + -998. Let v = 103 - i. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, d: 4, e: 1, r: 2}. What is prob of picking 3 d and 1 f?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 11*x**4 + (x**3 - 3*x**3 + 3*x**3)*(1 - 1 - 2*x).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59, -4, -17, 67, -5 in decreasing order.\nAnswer: 67, 0, -4, -5, -17, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:51 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146562 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 4, y: 5}. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 51*p**2 + 1469*p + 6975. Calculate k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83549469 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t*v**2 + 2*t*v + 8*t + 6*v**2 - 4*v + 5 wrt v?\nAnswer: -2*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/96)\/((-3)\/(-15))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 1000*q**2 + 116616*q - 2130048 = 0. Calculate q.\nAnswer: -258, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-3 - 0) - -19. Let p = k - 14. Suppose -4*b + p*b = -4*w + 1520000, 2*b = 0. Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.4492 rounded to 1 dp?\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1576139, -3152263, -4728397, -6304547, -7880719, -9456919?\n\"Answer: -x**3 + x**2 - 1576120*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -22 (b) -5 (c) -43\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 371, 990, 1895?\n\"Answer: 143*d**2 - 96*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**2 + 634*c + 2642. Let a be t(-66). Suppose 6272 + 672*s + 2\/7*s**3 + 24*s**a = 0. What is s?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, -1, -7 in descending order.\nAnswer: 3, 1\/2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6*z - 1. Let w be b(5). Let v(p) = -p**3 + 7*p**2 - 4*p + 5. Let y be v(6). Solve 5*t - y = -2*g - 0, t = w*g + 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*n**3 - 265*n**3 + 133*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 0.89. Let y = -0.91 + i. Let j = 0.8 + y. Which is the closest to -1? (a) j (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 3480631.\nAnswer: -20\/3480631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/(-185)*(-2)\/3*3\/2. What is the closest to 0 in x, 4, -52\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwzwzzwzw. What is prob of sequence zzw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37685, -150699, -339005, -602561, -941325, -1355255, -1844309?\nAnswer: -2408445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -10.9703653145?\nAnswer: 9.9703653145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3133.2.\nAnswer: 1566.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.763822 * -0.3.\nAnswer: -8.6291466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(6*(-2 + sqrt(75))*5)**2*2.\nAnswer: -568801 + 144000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.483 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 0 - 2*l**3 - 3*l - l**4 + 0*l**2 + 1 - l**2 to f*l**2 + s*l**4 + j*l**3 + n + i*l and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287419 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j - 24. Let f be a(0). Let h be ((-4)\/(-6))\/(f\/(-108)). Suppose 12*y = h*y + 855. Calculate the remainder when y is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*i*x**3 + 17*i*x + 4*i - 2*x**5 wrt x.\nAnswer: 294*i*x - 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 11. Let j = -9 + 14. Let k(c) = -j*c + 2 - 2*c + 8*c. Let i be k(6). Determine y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341666905 a multiple of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7*k**2 - 9*k + 8. Let g be p(8). Suppose -3*a + 9 - 3 = g. Suppose -5*f**4 + 7*f**4 - f**3 + f**5 + a*f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(10)\/sqrt(2))**2 + -3 - -6*3*sqrt(180)) + -3.\nAnswer: 3 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266626 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let m(h) be the first derivative of 23*h**3\/3 - 14. Determine m(p(k)).\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 739 + -738. Sort 5\/2, -4\/27, s in decreasing order.\nAnswer: 5\/2, s, -4\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 7. Suppose 18 = -6*x + 3*x. Let b be p(x). Solve -2*q + 0*h = -h - b, 0 = -3*q + h + 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*-1)*-1)\/(sqrt(72)\/(sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12))) + -5.\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/39 (c) 4 (d) 16.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-1 - (-3 + 4)). What is the units digit of (24\/(-10))\/(1270\/425 + d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/200 - r**5\/100 - r**4\/20 - 7*r**2. Factor f(g).\nAnswer: 3*g*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6834407*s + 6834406*s = -z + 6, 0 = -3*z - s - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746455377.\nAnswer: 1746455377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24711932?\nAnswer: 2, 7, 19, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -76, -111, -144, -175, -204, -231?\n\"Answer: c**2 - 40*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 - (-5)\/(-1). Suppose j - 10 = 3*j. Let b be 2\/h*(-7 - j). Solve k = b + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 42*d - 4*p - 38208 = 0, -d + 2*p + 38220 = 0. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z + 1. Let a(u) = u**4 - 2*u**3 + 2*u + 1. Let h(q) = -2*a(q) + 4*p(q). What is the derivative of h(m) wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 4*h**4 + 4*h**4)*(-4 + 2*h + 4) + 2 - 4094*h**5 + 4 + 4105*h**5.\nAnswer: 13*h**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -13423.79 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1954, -3876, -5788, -7678, -9534, -11344, -13096?\n\"Answer: 2*i**3 - 7*i**2 - 1915*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 90*k**4 + 13634*k**3 + 469598*k**2 - 3578858*k + 3095536 = 0?\nAnswer: -79, 1, 248\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5134 and -43\/20?\nAnswer: 51340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-20)*(-10)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247242539?\nAnswer: 2247242539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2062, 4126, 6192, 8260, 10330, 12402, 14476?\n\"Answer: g**2 + 2061*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -146536134 (base 7) to base 2\nAnswer: -100101100110110010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/916645 and 49\/25482731.\nAnswer: 127413655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -66935*l - 805. Let g(b) = -5578*b - 69. What is -35*g(j) + 3*z(j)?\nAnswer: -5575*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*y + 5*x - 80, 4*x - 82 = -y. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 4284.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let b(i) = 7*i**2 - 14. Let q(d) = b(d) + t(d). Let j(f) = -3*f**2 + 5. Let o be 200\/(-14) - -15*2\/105. Give o*j(v) - 5*q(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 4*a - 15 = -5*k, 20 = -4*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*v**(-7)*(v**(2\/5))**47 assuming v is positive.\nAnswer: v**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30606 + -12682. List the prime factors of o.\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23998771 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5 - 3, 0 = 5*o + 5*w + 30. Let n = 0 - o. Suppose -n*j = -3*j - 382. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - k**2 + k**2 - k**2 + 2*k**2 - 6*k**2 + k**2 - 4*k**2 + k**2 + (-2*k + 2*k - 5*k)*(-2*k - 4*k + 5*k) in the form a*k + z*k**2 + l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*c - 86, 3*m + 2*c = -m + 110. Let l = 28 - m. Are l and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*s**2 + 157*j**2*s + 15*j**2 + 3596322*j*s**2 + 57*j*s - s**2 - 2*s + 2 wrt s.\nAnswer: -4*j**2 + 7192644*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.307 + -2.207. What is the closest to k in 12, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 132079, -10?\nAnswer: 132079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314\/48667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 12*w - 42. Let c(d) = -10*d**2 - 74*d - 73. Let f be c(-6). Calculate p(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 0 + 6*k + 0.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2*b - 2. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 42842184?\nAnswer: 128526552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 3, o: 1, c: 1}. What is prob of picking 1 o and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r + 155 = 27*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3416\/10 + (96\/(-15))\/(-16) is divided by 327?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g - 4*j = -44, -5*g = -3*j - 175. Let o = -20 + g. Let f(u) = 6*u. Let m be f(2). What is the greatest common divisor of m and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/4*9\/(-42). Let o = d + 5\/2. Which is the second smallest value? (a) -5 (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 18, -63, -5 in descending order.\nAnswer: 79, 18, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464013.\nAnswer: 3, 11, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 451*n - 496*n - 23430 = -184*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-6)*(-4 - (-10)\/4). Is 27 a factor of ((400\/(-30))\/b)\/((-4)\/(-450))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let o(j) = -1414*j**2 - 404*j + 23432. Let a(f) = -f**2 - f + 58. Let u(b) = 404*a(b) - o(b). Determine g(u(c)).\nAnswer: 1010*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2916 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 18. Suppose 15*d + 7*d - 6468 = 0. Let f = 285 - d. What is b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m - 14283*m**2 + 12 - 3*m + 14280*m**2 = 0. What is m?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -h, -h = t + 2*h + 3. Solve r + t = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6733212 and 12?\nAnswer: 6733212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86631, 86632, 86635, 86640, 86647, 86656?\nAnswer: 86667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 4340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*(-3 - -21). Let l = s + -14. Let p = 5 + -1. Calculate the greatest common divisor of l and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -17, -4 in descending order.\nAnswer: 2\/11, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148.5 - -207. Let a = o - 52. Let f = a - 6.49801. What is f rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 130?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 89. Let y(u) = u - 17. Let n(k) = c(k) + 5*y(k). Let w(r) = -r. Determine -n(o) - 4*w(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -3, 700 in decreasing order.\nAnswer: 700, 18, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 12\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10979 - 14255 - 5832 = -634*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6)\/(-8)*52\/39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2616, 2604, 2590, 2574, 2556, 2536, 2514?\n\"Answer: -m**2 - 9*m + 2626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5574162 divided by -2?\nAnswer: 2787081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/(30\/18)*-1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1852\/(-3273) + 6\/9. Let i = j + 803187\/8728. Let d = -92 + i. Which is greater: d or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 3}. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5904 + 5154?\nAnswer: 11058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 11 - 5. Suppose 0 = -4*y + 16, -2064 = -t*l + 2*y + 3*y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 16 + 24 = 0. Let u be ((-1)\/2)\/(v\/510). Suppose -j + 2*a + 26 = 0, u - 130 = -4*j + 3*a. Calculate the highest common divisor of 32 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78430 > 1647056\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**3 - 3*x**2 - 3*x - 2. Let a(i) = -i + 3. Suppose 10 = 3*b + 5*v, 5*b + 0*v = -3*v + 22. Let u be a(b). What are the prime factors of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521\/389028 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16813, 16787, 16761, 16735?\nAnswer: 16709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10364839*i**3 - 289*i**2 - 2770 wrt i.\nAnswer: 62189034","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -293*p - 8143. Give x(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -4, 9, -0.4, 1345, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 + c + 1. Suppose -28*i + 24*i = 8. Let a(d) = -3*d**3 + 5*d**2 - 3*d - 2. Give i*a(r) - 5*h(r).\nAnswer: r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34053488, -34053469, -34053438, -34053395?\n\"Answer: 6*j**2 + j - 34053495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 313012*r**2 - 3 + 1 + 3738939*r**2.\nAnswer: 4051951*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02238 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304822180 by -52.\nAnswer: 5861965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13*y + 8. Let n be (2 - (6 - -2))*-1. Calculate the remainder when u(n) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27.13 and -123558061?\nAnswer: 123558088.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (1 + (-4 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667131 to the power of 1\/2, to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 4 + 36 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*d - 63, 0*q + q + 3*d + 37 = 0. Let z = q + 39. Suppose 0 = 2*f - z. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2 - 5*z + 2. Let y(l) = 2 + 2 + 3*l - 4*l**2 - 5. Let k(b) = -3*d(b) - 5*y(b). What is the first derivative of k(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -2071.\nAnswer: -124.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.73 + 0.27. Let s = 2.3 - v. Which is the biggest value? (a) s (b) 1\/5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/384 and 31\/3535856.\nAnswer: 84860544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(-1*sqrt(2))*1*-4)\/(-2*sqrt(12)\/(sqrt(384)*-1)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42630103 - 91326636. Let p = l + 12296533. Round p to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1063*-6\nAnswer: -6378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3 - 14*g**2 + 23*g - 6 = 0?\nAnswer: -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5) - (-3064)\/2570. Let l = -3349\/1028 - o. What is the common denominator of l and (0 + 129\/(-2))*(-7)\/126?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1996576 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6088 and 1238147.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*r - 23 = -0*r, 0 = -2*j - r + 11. Let c = j - 2. Is ((-9)\/6)\/(c\/(-66)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94859, 189707, 284557, 379409, 474263, 569119?\nAnswer: 663977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -630\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/40 + 15*r**5\/4 - 1875*r**4\/8 + 15625*r**3\/2 + 112*r**2 + 2. Determine h, given that t(h) = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 12. Let q be (8 - 196\/35)\/(1\/5). Let g(d) be the third derivative of -d**3\/2 - d**2. Give q*g(j) + 3*b(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*-13*(-132)\/(-429)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/17 - (-32)\/(-1). Let t be q + 1 + 3 + -2. Let j = 30 + t. Solve 4*a + 30 = -2*k, a + j*k + k + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g*g\/(g\/(g*g\/(g**(-1)*g)))*g\/(g*g\/(g*(g**8*g)\/g)*g*g)*g*g**(2\/19))**(-15))**16 assuming g is positive.\nAnswer: g**(-41520\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -114*s**3 + 3*s**2 + 6*s - 8. Let t(g) = 455*g**3 - 13*g**2 - 27*g + 36. Give -2*t(c) - 9*v(c).\nAnswer: 116*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(2 - 2 - 1) + 1655 + 593 + 229)*(x - 3*x + 0*x).\nAnswer: -4958*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least as big as 110.168999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 9*s - 4. Let k be l(8). Solve -k = -4*a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) + (-7688)\/(-48). Suppose 2*n = -40 + g. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1147)\/(-74) - 2\/(-4). Solve 5*u - u + f = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a**3 + 6*a**2 - 515*a + 1038. What is j(2)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45974847\/22 - 2089020. Let t = 745 - u. What is the common denominator of (4\/10)\/((-52)\/215) and t?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*t + 4*t. Solve -3*p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -40 + 7. Suppose -3*o - 7 = 11. Let f = o - u. Let x(h) = 7*h**2 + 4*h - 2. Let v(a) = 20*a**2 + 11*a - 6. Determine f*x(g) + 6*v(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 68 = 12. Suppose -5*w + l = -15. Calculate the remainder when 20 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 1851?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*c + 18 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-170))\/(((-3)\/(-24))\/(390\/(-72)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = -5*i + 18*f + 6944, 4*i + f = 5555. Let g = -1382 + i. Let d(o) = -o**3 + 5*o**2 + 7*o - 2. Calculate the lowest common multiple of g and d(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2424, 4850, 7280, 9714?\n\"Answer: 2*x**2 + 2420*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 9:15 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d - 35*d + 6*d. Let w(r) = -r. What is y(w(i))?\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 - (5 + -8). Let l(k) = -k**3 + 4*k**2 + 3*k - 5. Determine l(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3 - -17)\/((-2)\/(-14)). Let u be 470\/9 + -1 - f\/441. Is 16 a factor of (u\/4)\/(6\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165760 and 894290?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2470742725?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.7 - -10. What is the nearest to -0.1 in 1\/4, -1, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/25)\/(364\/(-70)). Let j = 107 + -106.5. What is the closest to 0 in -4\/5, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 450 + 42 = 0. Which is the smallest value? (a) v (b) 0 (c) -5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8957652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68829423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-11) - 0\/(-7). Let f be 0\/(4\/2 - 0). Let n = -1.1 - -0.9. What is the closest to 1 in f, n, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.1, -392, -0.6, 2\/19, 2.1, 1\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, x: 2, d: 9}. What is prob of picking 2 q?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 6.4454 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602600714?\nAnswer: 2, 71, 4243667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 90. What is the lowest common multiple of 16 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {n: 1, w: 1, b: 4, h: 2, j: 5, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(16)\/sqrt(4)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-3\/5)*(h**(-13)\/h)\/h*h\/(h\/(h**(-3\/2)*h)) assuming h is positive.\nAnswer: h**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 490. Let g(m) = -67537*m. Give g(o(y)).\nAnswer: 135074*y + 33093130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {t: 1, y: 2, b: 1, s: 2, c: 1, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -295 divided by 59\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (-9 - -14) - 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287047511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52212108*w**3 + 34918213*w.\nAnswer: 313272648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(2\/5)*u*u)**(41\/3)\/((u**(-1)\/u*u)\/(u\/(u*(u\/(u*u\/(u*u*u*u**2*u*u)*u)*u)\/u))))**15)**(-11) assuming u is positive.\nAnswer: u**(-7458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 5)*(-1)\/2. Suppose i = -2*w - 0*w + 8. What is the lowest common multiple of 3 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 5, w: 1, a: 1, x: 1, g: 1}. Give prob of sequence gx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (2 - 3 - (-72 - -65)) + -14 + 25?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.56615 * -0.2\nAnswer: 0.71323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 105*s**2 - 8*s + 7. Let r be c(1). Calculate the highest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16155 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 2156\/(-147)) + (-92)\/30.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1 - ((-48)\/12 + 91). Let i be (84 + h)\/(-2*(-1 + 0)). Let c be 10 + -1 + 6\/(-6). Put 2, i, c in descending order.\nAnswer: c, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*u**2*w**3 + 1149*u**2*w**2 - 8*u*w**4 wrt w.\nAnswer: -60*u**2 - 192*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326478 to the power of 1\/2, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116556 and 20.\nAnswer: 582780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3590 + -3677. Put 0, k, -24 in increasing order.\nAnswer: k, -24, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcjczmsjzjj. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 29115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o - 10. Suppose -o*j = -8*j - 18. Solve -z + j*z = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 2*h + 36, 3*x + 88 = 4*h. Let a be x\/(-14) + 4\/(-14). What is the third smallest value in 2\/5, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {d: 1, g: 2, m: 11, y: 2, q: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45779?\nAnswer: 45779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35567772 and 738112.\nAnswer: 569084352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 3, v: 5, i: 1}. What is prob of picking 2 h, 1 i, and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*k**2*u**5 - 256*k**2*u**2 - 7*k**2 + 1125*u**5 - u**2 + u wrt u.\nAnswer: -16740*k**2*u**2 + 67500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060117281 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 4. Let h be m(-6). Suppose 5*w = -3*u + 76, -h*w - w = -15. Suppose -3*f - u = -50. Calculate the lowest common multiple of f and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 1025*g**3 - 43 + 1026*g**3 - 56.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**4)**(-19)*((((c\/(c*c**(-1\/4)))\/c)\/c*c*c)\/(c**(-2\/3)\/c))**48 assuming c is positive.\nAnswer: c**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1366781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v + 0*v)*(0*v - 2*v + v) + 4*v**2 + 4*v**2 + 12*v**2 + v**2 + 3*v**2 - 2*v**2 in the form p*v**2 + i + a*v and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 4. Let b = -12 + 5. Let g = b - -1. Let n be m(g). What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - n = 5, 2*h + n - 1 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*w + 40 = -7*w, 20 = -4*w. What is the greatest common divisor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + 3*z)*(-371*z**2 + 860*z**2 + 2490*z**2 + 386*z**2).\nAnswer: -6730*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0447565 - -0.178.\nAnswer: 0.1332435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5053*d**4\/6 + 1783*d**2\/2 + d + 1708. What is the first derivative of l(z) wrt z?\nAnswer: 20212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12677 or -12674?\nAnswer: -12674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoro. Give prob of picking 1 o and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 24320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v + 2344 - 2137 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 - 55*r + 96. Determine q(-10).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 536358 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2*u**2 - 39*u - 96. Calculate b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -31131535 (base 6) to base 5\nAnswer: -212223142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1724 + 0*v**3 - 7*v**4 - 1725 + 142*v + 0*v**3 + 328*v wrt v.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054719459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173*v**4 + 15*v**3 + v + 67616.\nAnswer: -692*v**3 + 45*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 646 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 6) to base 14\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 0 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/60 + g**4\/24 - 5*g**3\/2 - 3*g**2. Let w(q) = q**2 - 6*q + 1. Let c be w(7). What are the prime factors of y(c)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62736259 and 3065.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0.2, 5, -3155 in descending order.\nAnswer: 5, 0.2, -0.04, -3155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.87626 - -0.12374. Which is the nearest to 36? (a) 2\/15 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 65*n + 70. Let b be o(-1). Let d(h) be the third derivative of 39*h**2 + 0*h + 7\/240*h**4 - 1\/150*h**b - 1\/20*h**3 + 0. Factor d(s).\nAnswer: -(s - 1)*(4*s - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12130 - 12116. Let j(q) = -6*q**3 - 2*q**3 - 3*q**3 - q. Calculate the least common multiple of k and j(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3 (c) 2\/109 (d) 0.4 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/5)\/f**(-2))**(-2\/27) assuming f is positive.\nAnswer: f**(-32\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -933573879, -933573881, -933573883, -933573885, -933573887?\n\"Answer: -2*r - 933573877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 2*l**4 + l**4 + l**4 + 2*l**4 - l**4 + (3 - 3 - l**3)*(-l + l + l) - 4*l**4 + 7*l**4 - 4*l**4)*(-66 - 51 + 34).\nAnswer: -83*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -47*q - 2. Let s(n) = 3*n**2. Give s(f(t)).\nAnswer: 6627*t**2 + 564*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*q = 3*q - 51, -2*i = 2*q - 18. Suppose 0 = -4*p + i. Suppose 8*s = 4*s + l + 256, p*l = -s + 77. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from ieeeh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29967043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-204)\/(-2176))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 - 67*b + 13. Let g be m(11). Let y(r) be the first derivative of 10 + 4\/3*r**3 + 0*r**g + 0*r - r**4. Factor y(h).\nAnswer: -4*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*h + 59, 10 = -h + 3*f + 53. Let z = h - 15. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446206460 to the power of 1\/2, to the nearest integer?\nAnswer: 21124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j. Let g(a) be the second derivative of a**3 + 228*a. Calculate -6*c(k) - g(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + q + 392 = 0, -3*q + 0*q + 150 = -2*u. Let s = u + 53. Let i be (-65)\/s + (-5 - -2). What is the second smallest value in 3, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 4 + 4. Let z(j) be the second derivative of -3*j + 0 + 0*j**2 - 1\/3*j**3. What is f(z(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 - 3 + 3)*(-7 - 5 + 3)*(1 - 1 + 1) as l*n + u*n**2 + r and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 582, 561, 510, 411, 246, -3?\n\"Answer: -3*z**3 + 3*z**2 - 9*z + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 665778*i**3 - 781808.\nAnswer: 1997334*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4920629 is divided by 2886.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, p: 3, t: 3, j: 2, z: 3}. What is prob of sequence pjz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -335*v - 2741. What is the remainder when q(-9) is divided by 76?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.3794001 weeks?\nAnswer: 2.6558007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30716 - 30712. Is c at most as big as -1544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(4*3\/(-6)). Suppose -2*s = l*k - 50, -5*s + 5*k + 72 = -13. What is the highest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i + 1409. What is the least common multiple of x(85) and 11?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/24)\/(1\/404). Factor -12 + 4*v**2 - 4*v**4 - 31 - 5 + g*v**3 + 68*v - 121*v**3.\nAnswer: -4*(v - 1)**2*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -795, -4, 27, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 35. Let o(q) = -8*q**2. Calculate o(s(t)).\nAnswer: -8*t**2 + 560*t - 9800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and 52\/1661?\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1599859928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.053112.\nAnswer: -0.0106224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2721 is divided by 82.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let m = -3 - h. Let c = 1 - m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b + 2. Suppose -16 - 4 = 5*g. Let o be w(g). Let a(n) = 14*n + 23. Let d be a(5). What is the greatest common divisor of d and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - -0.1. Let r = x + 0.03. Let o = r + 0.02. Which is the nearest to o? (a) -1 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/((-6)\/4). Let f = -36 - -40. Let k = -1589\/23 - -69. What is the closest to d in k, -5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 1004?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -10. Let u(f) = -f**3 + 11*f**2 + 8*f - 8. List the prime factors of u(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32177.099 rounded to the nearest 10?\nAnswer: -32180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or 16420022?\nAnswer: 16420022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19170 + -9425. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17020 = -37*c - 42*c - 36*c. Solve -23*l = 14*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873451402 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7745)\/14*(-53)\/5. Suppose 5*l - 5*y + 16298 = -13027, 5*y = -15. Let d = g + l. What is the common denominator of d and -65\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (405\/675)\/(1\/2 + 1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24107, -24109, -24115, -24125, -24139, -24157?\n\"Answer: -2*q**2 + 4*q - 24109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**5 + 11*h**4 - 2*h**3 - 2*h**2 + 9*h - 9. Let k = -12 - -10. Let n(f) = -f**4 - f + 1. Let o(j) = k*q(j) - 18*n(j). Factor o(z).\nAnswer: -4*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 10275732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9313 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.52 - -22.5. Let v = 23.52 + -24. Let o = n + v. Which is the third biggest value? (a) o (b) 0.05 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 1056*u**2 + 92928*u - 2725888.\nAnswer: 4*(u - 88)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -11 (b) 4\/3 (c) 5 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13685394 and 402020.\nAnswer: -13283374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123, -89, 19, 237, 601, 1147?\n\"Answer: 6*t**3 + t**2 - 11*t - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 - b + 11. What is h(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2000 and 2398855.\nAnswer: 959542000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - (2 - 134)\/(-12). Put 326, y, 1 in ascending order.\nAnswer: 1, y, 326","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and (-12 + (-324)\/(-24))*(-50)\/(-1)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 22 - 5 = -x, -2*n = 5*x + 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at most as big as 109\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -3, 2\/25, -4\/7, -5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 3. Suppose -7*m + 4*m + 15 = 0. Let u(t) = -7*t + 7. Let c(g) = m*p(g) - 2*u(g). Suppose w = -3*j - 2*j, 0 = 5*w + 25. Determine c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b9c + 3d?\nAnswer: -3b5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by ((-105)\/(-120))\/(4\/96).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930 = 2*s + 3*j, s + 5*j = 3*j - 463. Let o = s + 877. What are the prime factors of o?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2, 0.04134, 0.5, 47, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4532 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 - 13 = 5*m, d = 2*m + 12. Let z(p) = -2 - p + 3 - 3*p. What is the lowest common multiple of d and z(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*h - 4 = -7*h, 2*h + 2 = r. Suppose r*b = b. Suppose -6*s + s - 3*k - 5 = b, 24 = -s + 4*k. Sort -3, s, -5 in descending order.\nAnswer: -3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 6. Suppose -5*s - 4*k = -7 - 9, 2*s = k + 9. Suppose -p - s = -5*p. Let w(r) = r + 1. Determine p*x(g) + 6*w(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -76. Suppose -k + 24 - 6 = b, 0 = -4*k - 3*b + 71. Let x = v - k. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 2 = -12. Let g be m + (-9)\/(-5) + (-12)\/(-10). Which is greater: g or 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Let p(w) = 4 - h + w + 0. Let s be p(4). Solve 5*b - 2*u = -s, 0*b = -2*b - u - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*c + 12 = 645*c, 579 = 2*o - c. Calculate the lowest common multiple of 1264 and o.\nAnswer: 22752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -117 + 137. Let u be 0\/(s*6\/(-12)). Solve u = -8*b - 0*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22003103203 + -1113?\nAnswer: 22003102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 0, 1 in ascending order.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 478742, 957494, 1436270, 1915070?\n\"Answer: 12*n**2 + 478716*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1895601 or -1895574?\nAnswer: -1895574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from vtvtttttttvtvt?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.855036 days to hours.\nAnswer: 68.520864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826227880.\nAnswer: 2, 5, 17, 71473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1564 - 1255. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45852 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 3*sqrt(405) + 1 + (2*sqrt(405)*-1)**2.\nAnswer: 36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/1*(-18)\/30. Let z be (-12)\/((-36)\/8 - r). Suppose -m - 7 = -z. Is -6\/13 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + g - 237 = 0, 0 = 5*u - 2*g - 54 - 534. Let m be u + 3 + 4 + -7. Calculate the greatest common factor of m and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.32 - -0.82. Let z(b) = -b**3 + 2*b + 1. Let p be z(-1). What is the nearest to p in 0, 5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-987)\/(-235))*(-2)\/(-56)*-3*-2\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/3 - 20*f\/3 - 6 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:17 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2478)*-59*-8*(-9)\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {u: 2, q: 5, y: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:08 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d = 3*m + 1, 4*d + 7 = -m. Let h = -67 + m. Let z = -58 - h. Solve 5*b + 5*g + 15 = z, 2*b + g = 5*g - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhlvhhlvh. What is prob of sequence hvlv?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 98.02. Let i = -98.0000047 - n. What is i rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {v: 1, o: 2, q: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - u - 6*u - 7*u - 10. List the prime factors of c(-26).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2657.516 micrometers to centimeters.\nAnswer: 0.2657516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 1, a: 2, u: 2, b: 4, w: 2}. What is prob of picking 1 z and 2 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -25*g + 37*g. Let r(h) = -10*h - 1. Let i(j) = 29*j + 3. Give g*r(a) + 4*i(a).\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7037c (base 15) in base 5?\nAnswer: 42331132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*z - 4 = 0, -12*l - z = -15*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 333 = -3*r, -6*r = -r - 3*d - 579. What is the smallest common multiple of 11 and r?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-20) + ((-351)\/90)\/39. What is the closest to -6\/47 in m, 0.5, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020778 to 4 decimal places.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7092 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h + 100 + 86 + h**2 - 139. List the prime factors of k(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 4*u + 2*u + (u + u - 4*u)*(-2 + 0 - 2) + (1011 + 913 - 1839)*(0*u + 5*u - 4*u).\nAnswer: 87*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.56495489 + -0.43504431. Let c = -13 + 51. Let q = c + s. Round q to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-7)*105\/(-30). Suppose l + 2466 = 3*l + d*i, -2*l + 2474 = 4*i. Suppose -3*x = -4*a - x + 1662, -3*a + l = 2*x. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554 divided by 111.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 990259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 728 - 494. Calculate the common denominator of -2 - (1 - 543\/k) and 10850\/600 + 20\/(-2).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, p: 2, k: 4, i: 5}. What is prob of picking 1 p, 1 i, and 1 f?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209524 and 91777?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 12*g**2 - 29*g - 42. Calculate the remainder when k(10) is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*p + 6*p - 2, -p = 2*x - 3. Suppose -w - 3*b - 4 = 1, -2*w = -x*b - 20. Suppose w*r - r = 879. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/20 - 312*r**2. Let o(p) = 1136*p. Calculate o(i(l)).\nAnswer: 3408*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r**2 + 6*r + 17. Determine y(-3).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-45)\/6)\/(6\/(-8))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/5*11\/(693\/21630). Calculate the highest common divisor of n and 3399.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2.8 (c) -0.03 (d) 0.11 (e) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) 21 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 327447 - 686751. Let t = 2189304 + w. Round t to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/10036 and -101\/203730800?\nAnswer: 203730800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*c = -497*c - 380 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1*(-5)\/(-10)). Suppose 16 = p*c - 0*c. Let s = -10 - -15. Put s, c, -1 in ascending order.\nAnswer: -1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)\/(z\/(z*z**(1\/4))))\/(z**22\/(z*z**25)) assuming z is positive.\nAnswer: z**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.397758925 and 3?\nAnswer: 3.397758925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1628 and 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/616? (a) 91 (b) 32 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 1041*d - 9131. Determine p(9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275934 is divided by 183.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1790112, -2, -5, -1 in descending order.\nAnswer: 1790112, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:33 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*j*o**2*z + 2*j*o**2 + 18*j*o - j*z - 3*o**2 + 4*o wrt z.\nAnswer: -103*j*o**2 - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**5 - a**4 + a**3 + a**2 - 1. Let w(d) = d**5 - 3*d**4 + 4*d**3 + 2*d**2 - 2. Let t(i) = -6*l(i) + 3*w(i). Factor t(y).\nAnswer: -3*y**3*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967 is divided by 111.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1187*c**3 - 62*c**3 - 670*c**3)*(-13 - 10 - 7 + (1 + 0 - 3)*(1 - 1 - 1)).\nAnswer: 53732*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + k**5 - k**5 + (5 - 5 - 1)*(-6*k**5 - 5*k**5 + k**5) - k**5 - k**5 + 0*k**5.\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*w + 35, 4*z + 21 = -3*w + 2*z. Let j be 644\/(-35) + (-2)\/w. Let v be 56\/9 + 4\/j. Which is the third smallest value? (a) v (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185 and 55.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 120*j**2 + 4 + 0 + 118*j**2 + j**3. Let t be q(4). Round t to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + (2 - 2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3643 or -3881?\nAnswer: -3881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j + 77*j = 138 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 + 4*w + 20. Let r be f(-6). What is the common denominator of (r + 7)*95\/30 and -83\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.51 in -443, -1\/3, -7.7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 471, 472, 473, 474, 475?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52194511 to the power of 1\/2, to the nearest integer?\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*r*z**3 + 141*r*z**2 - 11*r + 33*z - 1 wrt z?\nAnswer: 114*r*z + 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/21 or 6624\/13?\nAnswer: 6624\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51843?\nAnswer: 3, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.42 - 11.92. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 2*i + 18, 6*u = 7*u - 4*i - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Suppose 10 = 5*h + d - 7, 27 = 3*h - b*d. Let x = -3 + h. Let u(t) = t + 1. Give u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -60976448.\nAnswer: -5\/60976448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145078.\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 13) + 6 - -51 - 111.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + -5.031. Which is the closest to -0.1? (a) x (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -2 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10*f = 7*f - 155, -2*b - 5*f = -45. Suppose -473 + 1593 = b*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106967234 rounded to the nearest 100000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011101100 (base 2) in base 14?\nAnswer: -b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/3, 1\/3, -1\/10, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 62. Suppose g*t = 10*t - 203. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -5*l - 14*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 29 - 57 + 28 - 2*z. Let b(g) = 5*g**2. Calculate b(o(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -682 (c) -1\/196 (d) -0.1 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 - 4*d + 14. Let z(c) = 7*c**2 + 9*c - 30. Determine 7*f(j) + 3*z(j).\nAnswer: -7*j**2 - j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 8*p = -7224. Find the second derivative of -83*c**5 + 238*c - c**4 - p*c + c**4 wrt c.\nAnswer: -1660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 + 71*c**2 + 17*c + 17. Let i(a) = a**3 - 24*a**2 - 6*a - 6. Calculate 17*i(n) + 6*z(n).\nAnswer: -n**3 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6773*w + 6792*w + 399 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*v + 41*v - 72 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15558 - 15250. Calculate the highest common factor of c and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - r**3 - 7*r**2 - 2 - 6*r**2 + 7*r**2. Give b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.3 - -28. Let u = c - -4. Let n = u + -0.6. Sort 5, n, 0.4 in descending order.\nAnswer: 5, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -13*k - 4*d, 4*d = 2*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -156727, -156719, -156721, -156739, -156779, -156847, -156949, -157091?\n\"Answer: -w**3 + w**2 + 12*w - 156739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7468582 and 76657.\nAnswer: 52280074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275538*c*l**2 + 4160*c*l + 4*c wrt l?\nAnswer: -551076*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 6 - 20 - (-15 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13320, -26664, -40036, -53442, -66888?\n\"Answer: -m**3 - 8*m**2 - 13313*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from gggygbngbgynigbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 + 3*w - 3 - 2*w**2 - 2*w**3 + 5*w**2. Let g(u) = 3*u**3 - 5*u + 5. Suppose 5*o = 3*f - 38, 2*f - 3*o - 16 = -2*o. What is f*g(d) + 10*n(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 26*s**2 - 165*s + 57. Let t be u(-14). Let g(k) = -k**3 + 14*k**2 + 20*k - 11. What is g(t)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/6 - 20*l**4\/3 - 11*l**3\/2 + 119*l**2\/3 + 74*l\/3 - 52 = 0.\nAnswer: -39, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -2*p**3\/3 + 4*p - 13. Let q(t) = t**2 - 3. Give 5*d(v) + 7*q(v).\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-5 - -8)) + (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + j - 3*j + 5*j - 5*j - j + (-2 + 3 - 2)*(3*j - 2*j + 0*j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27034167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1746.3 - 1746. What is the second smallest value in -70, o, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60541 * 2.8.\nAnswer: -169514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**3 + 435*f**2 + f + 26. Give s(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + a. Let j(w) = -2*w + 1. Let v be j(0). Let l be z(v). Solve 3*c = -3*s - 2*s - 16, -c = -l*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-13 - -51) + -99.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 8 = 17*q + 4*x, 5*q - 2*x - 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 180\/27 + 2\/(-3). Suppose -j*i + 15 = 3. Solve -18 = 4*h + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38a0d (base 14) to base 6\nAnswer: 2552153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - 3*j)*((3 - 3 + 2)*(1 - 4 + 1) + 1 - 3 + 1).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 730 - 42347\/58. Let i be (1658\/580)\/(10 + 48\/(-4)). Let h = i + s. What is the common denominator of 29\/30 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l*l\/(l\/(l**19*l))*(l**(2\/5)\/l)**(2\/49) assuming l is positive.\nAnswer: l**(5139\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 225 - 15. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8*j + 19. Let z = 213 - 218. Calculate the remainder when 4 is divided by m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 707673?\nAnswer: -2123019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 9. Let l(s) = s**2 - 2. Let d(w) = -4*a(w) - 18*l(w). Let r = 6 - 5. Let f(t) = t - r + 1 + 0. Determine d(f(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -7*o**4\/4 + 2*o + 4. Find the first derivative of c(v) wrt v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 33*q**2 + 1913*q - 2008. Give a(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 24*d - 18. Let n be (-16)\/(-12)*d*5. Suppose 3*p + 4*k - n = 0, -k = 4*p + 3*k - 24. Solve 3*h = -2*h + 4*y - 22, -2*h - 16 = -p*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 4. Let s be k(4). Suppose -2 = 3*t - 17. Suppose l - t*l + 116 = s. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3135 = -4*h, 4*v - 5*h + 1918 = 7*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 2. Let f = -1.4 - -0.4. Which is the closest to f? (a) -0.1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(2) - (3*sqrt(14)\/sqrt(7))**2) - (sqrt(72)\/sqrt(4) - (sqrt(4)*4)\/sqrt(2)).\nAnswer: -3*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 320\/10*(-22875)\/(-2). Suppose 7*o - o = c. Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/52 + (-9)\/((-117)\/(-585002)). Round v to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -49408.\nAnswer: 11\/49408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*v - 3*v + 10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:11 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 3*k - k)*(3 + 3 - 1)*(8*k + 3*k + 10*k - 2*k**3 - 3).\nAnswer: -30*k**4 + 315*k**2 - 45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.736 < -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 8. Let w(m) = 7*m + 43. Let k(c) = 18*c + 112. Let g(n) = 5*k(n) - 13*w(n). What is 3*g(u) - v(u)?\nAnswer: 5*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3026.7 and -5?\nAnswer: 3021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/5 + (0 - -1). Let m = -19 + 19.1. Let s = -1 - -1.3. Which is the smallest value? (a) m (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y + 6. What is l(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10837.10386 + -0.10386. What is the smallest value in 1\/4, -2\/3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 + c. Let t be f(1). Let l be (-1)\/t - (-23)\/3. Suppose -l = 2*r - n, -2*n - 4 + 10 = -2*r. Put -4, r, -8 in decreasing order.\nAnswer: -4, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -5*z**9\/252 + z**5\/15 - 7*z**2. Find the third derivative of y(b) wrt b.\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h**2. Let g(q) = 6*q. Suppose -3*t = c - 7*t + 22, 0 = 4*t - 16. Let n(x) = x. Let b(m) = c*g(m) + 33*n(m). Determine b(v(a)).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 0.2, -5, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 11*h + 4. Let w(a) = a**2 + 2*a + 1. Let f(o) = c(o) + 2*w(o). Give f(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 577058639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*d**4 + 13 - 28 - 26 with respect to d.\nAnswer: 144*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/((-21)\/(-27))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 28)*((-66)\/(-24) + -3). Suppose -m*a = a - 16. Factor -59*l - 6*l**2 - 144 + a*l**2 + 11*l.\nAnswer: -4*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/13))**(-8\/11)\/(o*o**0)**(-2\/9))**(6\/19) assuming o is positive.\nAnswer: o**(860\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432) + 1 + sqrt(432))*-1.\nAnswer: -24*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 56*g**2 - 18*g - 359. Determine b(57).\nAnswer: 1864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 618083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 4.18, 0.2, -2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7521.\nAnswer: 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0*j = -3*j - 3, 4*z - j - 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 1406 + 10310 = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g - 6*g. Suppose -94 = g*u - 22. Find the common denominator of 20\/3 and ((-74)\/4)\/(63\/u).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*20\/(-15)*275\/1460. Let c = -6\/73 + g. What is the nearest to 10\/33 in -0.5, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 836582429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 7*u**2 - 4*u + 12. Determine d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/24 + k**2. Suppose p - 1 - 21 = -5*t, -3*t + 4 = -4*p. Let m(f) = 2 + 3 + 9*f - t - 16*f. What is -5*b(q) + m(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y. Let j(g) = -2*g**2 - 5*g + 2. Suppose 3*w + 1 = -d, -w - 4 = 6*d - 2*d. What is d*j(m) + 4*u(m)?\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -67174 and -67172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/6 + 538*b**5 + 723610*b**4 + 1557208720*b**3\/3 + 209444572840*b**2 - 7*b + 25. Suppose c(r) = 0. What is r?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 + 0 - 1\/12*l**4 - 2*l - 3\/20*l**5 + 0*l**2. What is the third derivative of b(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237386 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8d (base 14) to base 16\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 2. Let h be k(-1). Suppose 0 = -3*p + h*r - 4 + 53, -3*r = 2*p - 10. Find the common denominator of -12\/11 and (11 - p) + (-82)\/(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/14)*g)\/((g**(-12\/7)*g)\/g)*((g\/(g*(g*g*g**(1\/9)*g)\/g))\/g*g)**16 assuming g is positive.\nAnswer: g**(-3743\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -1\/3, -1, -10 in ascending order.\nAnswer: -10, -1, -1\/3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 12. Let o(n) = n**2 - 9*n + 11. Let p be o(3). Let b be x(p). Solve -z - b*q = -5 + 24, 0 = -4*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*p - 69, -5*b = p - 2*p + 297. Let g = 120 + b. Suppose -34 = 2*t - g. Solve -5*q + 7 = -t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*l - 903. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**7\/7 - c**6\/3 + 365*c**4\/4 - 5620*c**3\/3 - 10753. What is the third derivative of x(z) wrt z?\nAnswer: 240*z**3 - 120*z**2 + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*f - 2*c**3 + c**2*f + 17615343*c**2 + 816*c*f - 368*f wrt f.\nAnswer: c**3 + c**2 + 816*c - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113897 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3637773 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 217 + 79 = 2*t. Calculate the greatest common factor of t and 5402.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 - -0.09?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-500)\/125*(-14)\/(-8)))\/3?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 9*d**2 - 23*d - 7. Let a be j(-11). Suppose -a*q + 2*x + 84 = -80, -5*q = -2*x - 204. What is the highest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 44. Let v(u) = u**2 - 5*u - 10. Let w be v(7). Suppose 4*l = 4*n - n - 6, -w*n + 5*l + 8 = 0. Solve -c = -j + 3*z, -n*j + 6 = -4*z - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**3 - b**3 + b**3 + (-1 + 1 - b)*(-2*b**2 - b**2 + 5*b**2) + (15 - 15 - 69*b - 1)*(0*b**2 + 0*b**2 - 3*b**2).\nAnswer: 213*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + t. Let r be (-3 - -6)*t\/(-1). Solve 1 = 2*w - r*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1522\/(0\/2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*166\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17064 divided by 4\nAnswer: 4266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101010110111010011110 - 1011?\nAnswer: 100000101010110111010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1965 rounded to 3 dps?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 3*m**2 - 1. Let d be i(1). Calculate the lowest common multiple of -2 - d - (-3 - 2) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 5*h + 3. Suppose 2*d = 4*d + 6. Let u be n(d). Is (-105)\/(-9) - 4\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let c = o - 0.3. What is the nearest to 2\/7 in c, 5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 59 = t, 5*t - a + 408 = 95. Let k = 40 + t. Calculate the common denominator of -15\/14 and (-252)\/k*4\/(-16).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/4)*l*l)**(-10\/7)*(l**(-2\/5))**26 assuming l is positive.\nAnswer: l**(-1003\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1571.3 + 1571. Let o = -6 + 1. What is the nearest to w in 4, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1084392 to 3 dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 32*d**3 + 1247*d**2 - 33*d + 220. What is t(-39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -318*h + 324*h + 42. Suppose 2*n = -0*n - 6. Put n, -1, h in increasing order.\nAnswer: h, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98281.\nAnswer: 29, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-33 + -9 + (17 + 12 - 1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*k = 22, -f - 81*k - 12 = -83*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -10 - -2 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3 + 3)*(6*o + 0*o - o) + (-1 + 4 - 1)*(0*o**2 + 6*o**2 - 4*o**2).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 84?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/14)\/(-2)*-2. Let l = -0.02 + 3.02. Let p = l + -2.8. What is the closest to -0.2 in 0.5, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 7 + 1. Let y(s) = 3*s - 7*s + 2*s. Let c(o) = o**3 - 6*o + 2. Let z(b) = u*c(b) - 6*y(b). What is the derivative of z(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3000564*f - 5488. Let j(l) = 2734*l + 5. What is 5488*j(d) + 5*u(d)?\nAnswer: 1372*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346375108.\nAnswer: 2, 86593777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/37062 and -157\/8004?\nAnswer: 1704852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 2. Let f be u(0). Let s be 6\/f - (-2 + -9). Let p(q) = -q**3 - 2*q**2 + 5*q + 6. Let y be p(-5). What is the highest common factor of y and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**3\/6 - j. Let l(d) be the first derivative of -3*d**2\/2 + 15. Calculate c(l(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brrauju. What is prob of picking 1 u, 1 j, and 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*d = 0, 0 = 5*p - 4*d + 7 - 8. Put 0, 23, p in decreasing order.\nAnswer: 23, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 40. What is y(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2110*r - 2125*r - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:50 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 12.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let s = 7 - 2. Let q = s + -10. Which is the closest to -1? (a) q (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15\/45*-63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 123. List the prime factors of 666\/(4 - v\/(-4)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1799 - 1811. What is the nearest to 0 in -0.2, 1, p, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 50, 162, 380, 740, 1278, 2030, 3032?\nAnswer: 4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149, 204, 289, 422, 621, 904, 1289, 1794?\n\"Answer: 3*a**3 - 3*a**2 + 43*a + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 5*t - t. Let f = t + 43. Let m = 17 + f. Solve -4*q + 4 = n - 12, m = 4*q - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11173 is divided by 2311.\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:54 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**3 - 3 + 10*r**3 - 76*r**2 + 70*r**2 - 21*r**3 + 8*r as p*r + g*r**2 + x + u*r**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 49. Let u = 6.3 + -1.3. Let h = 3.7 + -4. Put h, x, u in decreasing order.\nAnswer: u, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913393?\nAnswer: 13, 17, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 18. Let d = -18 + k. Let n(q) = -5*q - 7. What is the tens digit of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146, -147, -148, -149?\n\"Answer: -x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8671, -17345, -26023, -34705, -43391, -52081?\nAnswer: -60775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1476 + 1482. Suppose -2*z + z = 3. Let v(f) = f**2 + 2*f - 1. Let k be v(z). Solve -4*x + y = -k*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-2) + (-9 - 4) + 25. Let o = 0 - 0. Sort o, -5, 2, c in ascending order.\nAnswer: -5, o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from onnmoz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 50*u**2 - 85*u + 695. Calculate z(10).\nAnswer: 4845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -35 - 5. Suppose m - 114 = n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*o**3*q**2 + 27*o**3 + 12468*o**2 - 27*o*q**2 - 24*o*q + 53*q**2 wrt o.\nAnswer: 618*o*q**2 + 162*o + 24936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23231 = -362*a - 33372 + 11715. Let u = 85 + -154. Let y = u - a. What are the prime factors of y?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**3 + o**2 + 2*o + 1. Let g be k(-1). Let m be 2\/(g\/9 - 0). What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2, -0.6, -4\/3, -2\/17 in descending order.\nAnswer: 2, -2\/17, -1\/2, -0.6, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188214?\nAnswer: 2, 3, 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 + 195. Let i = -411 + t. Sort 29\/2, i, 1.\nAnswer: 1, i, 29\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.02, 268031?\nAnswer: 268031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272407897081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4920598?\nAnswer: 2, 2460299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*z + 1595, i + 21*z - 18*z = 535. 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 square root of 4375 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16441*p**2. Let l(f) = 2090*f**2. Give l(d(x)).\nAnswer: 564940545290*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 11. Let z = 1023 + -1004. Let v = z + k. What is the third biggest value in 0, v, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/25 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.62.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a factor of 13987510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((9\/(-2))\/(-9))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86304*c**3*w + 2*c**2*w + 1970*c*w - w + 2 wrt c?\nAnswer: 517824*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((6 - (-119)\/(-21))\/(-1))\/(-157). Is q bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19171725 divided by 5?\nAnswer: 3834345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 43530*y + 43048*y + 20 + 171202*y. Let t be k(-9). Round t to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -131, -33, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from 1.00678.\nAnswer: 0.93678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 1. Let b(t) = 7*t + 2. Let u(r) = -4*b(r) + 5*c(r). What are the prime factors of u(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/21 (b) 0.355 (c) -2 (d) -1934\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687230503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 137 = -501. Let v(y) = 9*y**3 + y**2 - y. Let p be v(-2). Let b = j - p. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 + -100. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*n + 121 = 154, -2*m + 18 = -2*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {i: 2, e: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5579888 (b) 2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4.06018389.\nAnswer: -0.06018389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 48. Let i = -91 - v. What is the remainder when 2 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30772310?\nAnswer: 2, 5, 47, 233, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimmhiei. Give prob of sequence mem.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -172371*c - 1437. Let j be d(-47). Suppose 43 = 3*m + 4*n, m + 44 = 5*m + 2*n. Suppose h - j = -m*h. Round h to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 12*y**2\/7 + 9*y\/7 - 54\/7.\nAnswer: -3*(y - 3)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5337 and 39684153?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*f*j**4 - 2189*f + 150*j**4 wrt j?\nAnswer: 124*f*j**3 + 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-9\/11)\/i))\/i)\/i*i**(33\/7)*i*i*i)\/(i*i*i**(1\/44)*i*i)**(-3\/10) assuming i is positive.\nAnswer: i**(2727\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 16*p - 4*k - 11, 4*p = -k - 8. Sort 3\/13, 12, -0.6, -4, p in ascending order.\nAnswer: -4, p, -0.6, 3\/13, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-5 + 2 - 4)*(0*t**2 + 3*t**2 - 6*t**2).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((44\/(-8))\/(-11))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -35014123?\nAnswer: -35014130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 918*n + 1056. What is o(-2)?\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/21482616 and 51\/14.\nAnswer: 150378312","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -122*r**2. Let n(t) = 6*t - 1. Let h(f) be the third derivative of 9*f**4\/8 - 5*f**3\/6 - f**2 + 59*f. Let o(b) = h(b) - 5*n(b). What is o(i(z))?\nAnswer: 366*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 21 + 51. Suppose 6*x + b = 102. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 169*t - 3. Let l = -8 + 10. Is b(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/47)\/a)**(-1\/13)*a\/((a*a\/a**(-10))\/a)*a**(5\/7) assuming a is positive.\nAnswer: a**(-39393\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -972 + 1075. Which is the second smallest value? (a) 1\/6 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3. Let m(l) = -9*l**3 + 1. Let j(y) = 6*m(y) + 26*t(y). What is the first derivative of j(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from {d: 2, g: 1, w: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.637 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 30*i + 26 + 15 as j + c*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7 + 10*r - 5 - 6*r - 2*r. Let b be p(8). Solve -b*t + 9 = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502431.\nAnswer: 1051, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1984, -3956, -5920, -7876, -9824?\nAnswer: -11764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j + 0*j)*(-5*j**3 + j**3 + 2*j**3) + (0*j**4 + 2*j**4 + 2*j**4)*(-j - j + 0*j).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97387968 and 12173496?\nAnswer: 97387968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153795*z + 39 = -2*y - 153792*z, 3*y + 4*z = 18 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.3030449479 and -1.5.\nAnswer: -4.8030449479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/405108 and -3\/1984.\nAnswer: 6481728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*w - 10. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Let t(o) = -o**2 - 6*o + 6. Let h be t(-7). Let z = 1 + h. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3937 in 0.3, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4274 * 6.\nAnswer: 25644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2*q - 5*q - 3*q - q + 6*q + (-2 + 2 + 1)*(5*q - 6*q + 3*q) + 1 - 1 - q + 153*q - 204*q - 623*q - 279*q as f + i*q and give i.\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/20 + 2\/(-8). Which is the nearest to -5? (a) 4\/7 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-78) - 159\/(-9) - (0 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -227*c**4\/12 + 7*c**3\/6 - 41*c**2\/2 - 51*c - 5. What is the second derivative of p(s) wrt s?\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 5*y + 6, 2*y - 101 = -z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 - 1. Suppose 0 = -3*s + 5*l + 3, s - 2*l - 5 = -4*s. Calculate o(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 11*i - 18. Let k be 18\/15*70\/21. Calculate v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let t(a) = -a**2. Let n(q) = 3*q**2. Let k(v) = b*t(v) + n(v). Let d(p) = -p**2 + 0*p**2 - 2*p**2 + 0*p**2. Give -6*d(z) + 17*k(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120120 - -10002222?\nAnswer: 1112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((36\/15)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 5*k**4\/12 - k. Let w(l) be the third derivative of l**4\/24 + 3*l**2 - l. Determine h(w(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5 - 60*w**4 - 339*w**3 - 246*w**2 + 1404*w + 1944 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 2\/7, 0.4, 601, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -21. Suppose 4*d - t = -c - 7, -c = 2*d - 7. Let o be 13 + -3 + d - 2. Solve g = -g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58766.49ug in grams?\nAnswer: 0.05876649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 9 - 3, -3*r + 964 = o. Suppose 0*l = l, -2*c - 2*l + r = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655227.\nAnswer: 7, 236461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11247 take away -23557928?\nAnswer: 23546681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 205. Suppose 19*j - 77 = s. Calculate the remainder when 10 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2143827, -2143822, -2143817, -2143812, -2143807, -2143802?\n\"Answer: 5*b - 2143832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - l = -4*c - 254 + 236, c - l + 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, -532, -1951, -3938, -6493?\nAnswer: -9616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 28388632?\nAnswer: 28388632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in -0.3, 1, -2, 1.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/(1\/4). Let r be 21\/5 + (-7)\/35. Solve -c = w*o + 20, -2*c = r*o + 34 - 14 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1526 and 67\/344.\nAnswer: 262472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/3 + 14*n**2\/3 + 34*n\/3 + 6 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, t: 3, b: 1, u: 3, m: 4}. Give prob of picking 1 m, 1 t, and 1 b.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/459*90\/75*-20\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.197 + -1.3. Let c = -5.403 - j. Let d = c - -7.3. What is the second smallest value in -1\/6, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 3\/5, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.2 - -30. What is the second smallest value in o, -4, 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/4 + 6091*f**3\/4 - 12155*f**2 - 66901*f - 72996 = 0.\nAnswer: -2, 12, 6083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/p**(-2))))*p)**(-2\/61)\/((p\/(p\/(p\/p**(-1\/3))))\/p)**33 assuming p is positive.\nAnswer: p**(-669\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.19 (b) -0.4 (c) 12\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 8. Let h be m(4). Suppose 2 = -l + h. Suppose 2*i + 3*i - l*z - 652 = 0, 3*i - 412 = -4*z. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = t. What is the closest to 1\/2 in -3, -4\/7, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15255386 to the power of 1\/2, to the nearest integer?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1824 and -25\/2286?\nAnswer: 694944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*u - 23659 = 19*u. What are the prime factors of u?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 4 - 3 - 8 + 2*b**2.\nAnswer: 2*b**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-77 - -4) + -26 + 22 + 12.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycypycpj. Give prob of picking 2 c and 2 p.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 7. Suppose -7*f + 135 = -2*f. Calculate the remainder when f is divided by t*(51\/(-12) - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/(x*x*x**9\/x))**(17\/4)*(x*x**(-13)*x*x**(-1\/10))**(-1\/15) assuming x is positive.\nAnswer: x**(-6301\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from evaeavvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 + -160. Let o(f) = 6*f**3 - 11*f**2 + 27*f - 16. Is 40 a factor of o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 4*z**2 + 2*z + 9. What is j(4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 smaller than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222602 is divided by 359?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 46. Let w be k(12). Let d = w + 139. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 368210*b + 14720400.\nAnswer: 5*(b - 73602)*(b - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t - 5. Let a = 1059 + -1056. Let c = -8 + 15. Solve 2*n - 3*f + t + 9 = 0, a*n + f = c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 4*k - 4*k + (-1656 + 223 + 190)*(2*k - 2*k - 2*k)*(-k**3 + 5*k**3 - 2*k**3) to p*k**4 + z*k + d + m*k**3 + j*k**2 and give p.\nAnswer: 4973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*w**2)*(w - w + w**2)*(-4279 - 918 + 1431).\nAnswer: 7532*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6289398402 to the power of 1\/2, to the nearest integer?\nAnswer: 79306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (53 + -49)*(-2)\/(2 - 6). Find the second derivative of -82*n**q + 62*n + 23*n - 190*n wrt n.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -132*f**2 + 146*f**2 + 53 + 2*f**3 + 15*f - 39. Calculate v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 2*h**2 - 2*h - 2. Let m(v) = -v**2 - 4*v + 2. Let k be m(0). Let q(f) = -12*f**3 + k + 7 + 9*f - 15*f**2 + 6*f**2. What is -2*q(w) - 9*x(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/133*21\/(-45)*2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (11 - (45 + 24))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*f + 173*f - 67*f.\nAnswer: 455*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(-2\/17)*a**2)**(-6\/17) assuming a is positive.\nAnswer: a**(-522\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 277 = 113. Let t = z - -51. Is 166\/6 - 9\/t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (1 - ((-3213)\/(-24))\/(-9)) and 113\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(288))*-2)**2 - (3*(sqrt(4)\/sqrt(2))**2 + sqrt(162) + 2).\nAnswer: 87*sqrt(2) + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*a**2\/7 - 356*a\/7 - 80\/7.\nAnswer: -2*(a + 2)*(79*a + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*b + 21, -c + 3*b = 3*c - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from {t: 3, b: 3, w: 1, m: 3, c: 3, n: 5}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/15*x**3 + 0 - 1\/30*x**4 + 4*x + 0*x**2. Factor c(u).\nAnswer: -2*u*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 7:25 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 13*d**2. Let k(b) = -4837221*b**2. Determine h(k(f)).\nAnswer: 304183191036933*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 150165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4 = -2*u, -5*u + 3*f + 8 = 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/2 in -0.2, 82, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 + 1254011*l\/3 = 0. What is l?\nAnswer: 0, 2508022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, 1, -122 in increasing order.\nAnswer: -122, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5590?\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = -2*j + 507 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let r be ((-54)\/(-15))\/u*-5. Let o(y) = -203*y**2 + 8. Let n be o(r). Round n to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573119687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*s**3 - 5*s**2 + 10*s**2 - 5*s**2 - 97*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35235*-115.\nAnswer: 4052025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -28, -68, -134, -232?\n\"Answer: -b**3 - 4*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296 - 15894797102?\nAnswer: -15894797101.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 - 197. Let y = -39 - w. Solve -y = 2*r - a, -5*r - 2*a + 4*a = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -164, -352, -614, -950?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.03 - -0.03. Let q = 238 + -283. Let x = q - -46. Which is the closest to x? (a) -0.2 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -80. What is the least common multiple of d and 86?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. What is the hundreds digit of ((-524)\/8)\/(t\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010010101010000 + -1?\nAnswer: 100011010010101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -243\/7?\nAnswer: -243\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82028583 to the power of 1\/2, to the nearest integer?\nAnswer: 9057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-250)*30\/4*(-260)\/(-78)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 - 9376846*r**2 + 21981319603772*r - 43962601700168 = 0. Calculate r.\nAnswer: 2, 4688422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 18. Let t be f(0). Let o = 21 + t. What is the second derivative of o*r - r - 9*r + 8*r**4 + 0*r**4 wrt r?\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 h when three letters picked without replacement from khktkhtk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - -519. Suppose 4*l - 5*h - 6832 = 0, 5*h = l - 2306 + z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 0*a - 3*q - 7, -2*q = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -32, -65, -100, -137, -176?\n\"Answer: -k**2 - 28*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12182, 26761, 41336, 55907, 70474, 85037, 99596?\n\"Answer: -2*d**2 + 14585*d - 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mma when three letters picked without replacement from {o: 4, m: 6, a: 1, q: 2, f: 7}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 3. What is n(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-4 + 0 + 3)*(2*y - 2*y - 4*y**2) to the form i*y**2 + r + c*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2940840 and 47\/3.\nAnswer: 2940840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.84 + -0.84. Let d = y - 39. Is d equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3) + 0)\/(82\/123).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -34*b + 19. Let a(n) = 108*n - 57. Determine -3*a(g) - 10*w(g).\nAnswer: 16*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o = 5*l + 2666088, 4*o = 4*l - 5332232. Let b = 2173054 + o. What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let a be b + -1 - 57\/(-1). Suppose -5*k - 19 = -a. Solve -k*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 32*a**3 + 84*a**2 - 72*a.\nAnswer: 4*a*(a - 3)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 3) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let h be (4\/(-28))\/((-21)\/252)*(-7)\/(-5). Let b = 0.07 - -0.03. Put b, o, h in decreasing order.\nAnswer: o, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c, -4*d - 7*c + 2*c = 21. Let g(l) = l. Let r(q) = -q**2 - 11*q - 8. Let j(v) = -5*g(v) + r(v). Let z be j(-16). Is z equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by -14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 189189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 45*m + 6. Let u be q(15). Let w(s) = s + 3*s**3 + 9*s**2 - u*s**2 - 6*s**2. Determine w(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 4501*c - 1125.\nAnswer: -(c + 1125)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d**2 - 12*d**2 - 13*d**2 - 62*d**2 to l*d**2 + m*d + t and give l.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9756 or 263407\/27?\nAnswer: 9756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8696*l. Let s(t) = -6*t - 4469. What is s(w(h))?\nAnswer: 52176*h - 4469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1269)\/(-54))\/(-47))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5807575 is divided by 1935830?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119 and -552039188.\nAnswer: -552039069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*240\/(-1400)*(21\/(-24) + 0). Put 0, -89, 1\/3, u, 1\/4 in decreasing order.\nAnswer: 1\/3, 1\/4, 0, u, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-4 - (-1 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4836 less than 5924?\nAnswer: 10760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*f = -4*f + 13, -4*c - 5*f = -57. Suppose -4*q = -0*q + 24. Let n = c + q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:55 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/4820002 and -23\/9.\nAnswer: 43380018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -566 + 13344?\nAnswer: 12556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82592 and 15486.\nAnswer: 247776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 + 1. Let c = 29 - 28. Let m(p) = 5*p**3 - 3*p + 1. Let i(k) = c*m(k) - 6*w(k). Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*q - 1535, 15*q - 2*a = 12*q + 1147. Let d = q - 379. What is the greatest common factor of 13 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 96*x + 688 + 246 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + 13*a**3\/3 - 36*a**2 - 42*a - 10435. Give y(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-12)*q*q*q)\/(q\/((q*q\/(q\/(((q*q**(-9))\/q)\/q))*q)\/q*q)))**29)**(-2\/39) assuming q is positive.\nAnswer: q**(-406\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:29 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180044201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose x*g = 3 + 5. Solve -2*v**2 - 2*v**2 - 2 + 2*v**5 + 2*v**g + 2*v - 6*v**3 + 4 + 2*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2, 0, 2\/25, 368, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6527 + -4552. Let i = g - -1102. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcchc. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -7660, -2 in descending order.\nAnswer: 57, -2, -7660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 4. Suppose 0 = -4*u + 20, 5*l + 2 = 3*u + 7. Suppose p - l = -1. Suppose -2*r - g = -5*r - 1, 3*g = 5*r + p. Determine q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/11, -3\/8, -10095?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - y**2 + (2*y - 3*y - y)*(y + 2*y - 2*y) + 5*y**2 - 3*y**2 - 3*y**2 + y**2 - 3*y**2 + 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*j + 26 = 0, -4*z + 11 = -j + 4. Suppose -c - 4*c = z*g - 47, -2*c + 8 = 0. What is the remainder when 313 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 12*i + 6. Let q be b(8). Let c = 30 + q. Suppose -2*w + 60 = c*h - 2*h, -3*w = -4*h - 55. What is the greatest common divisor of w and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**3 + 12690*z**2 + 7569865*z + 7557180 = 0.\nAnswer: -1581, -956, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181\/6 + -29. Let h = 1\/3 + q. Suppose 3*x + 2 = 2*x. What is the closest to 0.1 in h, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*(-368)\/6. Let g = -52 - c. Let y = g - 42. Put y, -1, 4 in decreasing order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - -0.08. Let a = 25 + -18. Let i = 6.5 - a. What is the second biggest value in i, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.7 - 34. Put -3, k, -1\/38 in decreasing order.\nAnswer: -1\/38, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 2*y**2 - 2*y**2)*(-2*y - 4*y + 3*y) + 2*y**3 - 3*y**3 - y**3 in the form n*y + o*y**3 + t*y**2 + q and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 254759573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*v**2*w**3 + q*v**2*w**2 + 3*q*v**2 - 20*q*v*w**4 - 5*v**2*w + w**4 wrt w.\nAnswer: 12*q*v**2 - 480*q*v*w + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45515, 45519, 45523, 45527, 45531?\nAnswer: 45535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, -1, -195, -0.2, 0.19 in descending order.\nAnswer: 0.19, -0.2, -1, -7\/4, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -70, -100, -132?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 + 3*k - 4. Let f(s) = s**3 - 5*s**2 + 2*s - 3. Give 4*f(u) - 3*i(u).\nAnswer: u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03205 less than -345.403?\nAnswer: -345.43505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 144. Let h = 20.4 + w. Which is bigger: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2. Let y(i) be the first derivative of 0*i + 4 + 5\/3*i**3 + 0*i**2. Calculate l(y(p)).\nAnswer: 75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0*h**2 + 1\/2*h**4 - 5\/6*h**3 - 7*h + 0. What is the second derivative of u(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 + (120\/950)\/(2\/101) and -32\/35.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78388660 or -0.2?\nAnswer: -78388660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u + 6 - 6 - 12*u + 11*u. Let r(z) be the third derivative of -z**5\/30 - 16*z**2. Give r(m(a)).\nAnswer: -800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 15*i + 2*i + 56 - 13 + 10*i.\nAnswer: 2*i + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -3) + 3 - (2 + 1). Let x be ((-2)\/(-3))\/((-1)\/(-3)). Solve 0 = i + m, -3*m + g = -x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.7 - -49. Let l = f - 1.3. Let w = l + 2. Is w bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d + 1413*d**2 - 2823*d**2 - 14 + 1408*d**2.\nAnswer: -2*(d + 1)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -82. Suppose 0 = 4*i + z*m - 46, 0*i + 2*i - 38 = -4*m. Suppose 62 + 64 = i*f. Solve u = -5*k + 10, 0*u - 3*u + f = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/839 and -71\/113544.\nAnswer: 95263416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24858372, -24858375, -24858380, -24858387, -24858396, -24858407, -24858420?\nAnswer: -24858435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 2. Let d(o) be the first derivative of -o**2 - 111 - 105 + 212. Calculate s(d(h)).\nAnswer: 18*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l - 5. What is the remainder when l\/(-4) + (-884)\/(-16) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 50 - (-22 + 2) - (-6 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Is 6\/(-1 + n)*-4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297 divided by -1\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 12*f**2 + 19*f + 2. Is a(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 20\/(-390)*-252?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 21*i**2 - 36*i - 315. Let n be v(-20). Solve 5 = -0*y - n*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12384 and 64.\nAnswer: 24768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -2*((sqrt(12) + 1)**2 - sqrt(12)))*-4.\nAnswer: 80*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {y: 6, v: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*((-1*sqrt(176))\/sqrt(11) - sqrt(16))\/(-3*sqrt(200) + sqrt(8)).\nAnswer: 30*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5 - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1250826 and 7\/625413?\nAnswer: 1250826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-12) + 1)*1*-169072. Let g = 224804 - l. Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7 + 3*y - 7 - 3*y**2 + 7*y**2. Let t be k(7). Suppose 73 = -5*c + t. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/3 + 304*a**2\/3 + 602*a\/3 + 100 = 0. What is a?\nAnswer: -150, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*c + 2, 3*c + 2*o = 1 + 7. Calculate the remainder when -20 + 24 - (0 - (c - -55)) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979130867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(30)\/sqrt(5))\/sqrt(2) + sqrt(3))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 0*x**3 + 2*x**5 + (8*x - 2*x + 3*x)*(-5*x + x + 3*x)*(2*x**3 + x**3 - 2*x**3).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 18 = -9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -152, -0.5, -0.1, -21, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 12 + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 496*k**2 - 495*k**2 - 503*k**2 + 1995*k**2 - 8*k - 497*k**2.\nAnswer: 4*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (17 - 3) - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/104928 and 31\/22953.\nAnswer: 734496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 9:24 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 80*s + 1598. Let a be t(42). Sort a, 5, 20, -1.\nAnswer: -1, a, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18176 and 142.\nAnswer: 18176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 5 - 5*z**2 - 5.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -4*x. Let r be (5 - (5 + -3)) + x. Sort -1, r, -4 in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 16 + 14 + 35*r**3 + 3*r**3 + 0*r**3 - 2*r**3 + (-2*r**2 + 2*r**2 - 3*r**2)*(3*r - r - r).\nAnswer: 37*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 3 (c) 221.2573 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 603976.5 + -603977.4660403. Let m = j - -0.966. What is m rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 10 + 7 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 31160.\nAnswer: 498560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -194 - -194. Suppose 4*v + j*b = -b + 112, 5*v - 3*b = 157. What is the greatest common divisor of v and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 + -1*1). Let t = 345 - 343. Suppose t*d + f*d = 68. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007786903?\nAnswer: 11, 739, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5389*w**3 - 10779*w**2 - 28*w - 48. Determine c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, k: 1, i: 5}. What is prob of sequence tt?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -2. Let j = u + -1.3. Suppose -w - 2*w - 3 = 0. Which is the biggest value? (a) 1 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, h: 2, f: 3}. What is prob of picking 2 q and 2 h?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 43*z + 328. Let v be o(66). Which is the second biggest value? (a) 3 (b) v (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4309 - 4.4301. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276 + 74. Suppose -5*b = 2*b - z. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 134. Let r be b(-10). Let o(j) = 6 + 3*j + 0*j - 5 + r*j + 3. Give o(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-686)\/(-147))\/((-1085)\/(-13950))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9227 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1840, 1841, 1840, 1837, 1832, 1825, 1816?\n\"Answer: -f**2 + 4*f + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 72, 164, 292, 456?\n\"Answer: 18*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 151 = -5*h + 4*o, -5*h + 5*o = -165. Solve 6*p + h = 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 17, 80, 189, 356?\n\"Answer: 2*p**3 + 5*p**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*g - 27 = -5, -2*g - 8 = -4*t. Let q(m) = -2*m - 351*m**3 + 350*m**t + 6 + 2*m**2 + 3*m**2 + m**2. Determine q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrqrqrrrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 8. Suppose w + u*w - 65 = 0. Calculate the greatest common factor of 117 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(6\/7)*r)\/r)\/r**(1\/20) assuming r is positive.\nAnswer: r**(253\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 7*j = -374. Suppose -j*v = 4*v - 525. Solve -5*q = 2*w + v, -2*w + 0*q - 2*q = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s - 4. Let l = 2 - s. Let i be (2 - 2 - l) + 11. What is the greatest common divisor of 90 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492907 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 10. Let w be ((-12)\/(-21))\/(-2) - (-148)\/28. Let c be y(w). Solve -d + 7 = -c*t - 3*d, -2 = 3*t - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 55 = -7*j + 3*j, -5*j - 50 = -5*u. Suppose 2*q - 6*c + 5*c - 6 = 0, -5*q + u = 5*c. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 18*t = -2. Let y be (48\/(-80))\/(t\/(-10)). Solve -j - 5*b = 4, -2*j - 2 = -y*b - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*h + 5*n, -4*h - n + 0*n = -4. Suppose u - 1 = 2. Suppose -u*x + 11 = -h*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197289377 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjjt when four letters picked without replacement from {j: 7, t: 6, o: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 16*l - 4 = 0. Suppose m - 2*u + 7*u = -9, 0 = -5*m - l*u - 22. Let q be -3 + -1 + 1 - -1. Put 2, q, m in ascending order.\nAnswer: m, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 40*i + 24864 = 0. What is i?\nAnswer: -74, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 3*z**2 - 12. Let u be i(0). Let p(o) = -o**2 - 11*o + 16. Let h be p(u). Is (-538)\/(-4)*(h + -3 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*z**2 + 45*z + 2*z**3 + 377*z**2 + z**4 in the form a*z**3 + g*z + m*z**4 + f*z**2 + i and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 87.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 - 839 + 122 = -49*g + 1260 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 + t**4\/6 + t**3\/3 - 2*t**2. Let m be u(4). Solve -25 = -3*k - m*l, -l + 2 = -3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edne when four letters picked without replacement from nkdennnnken.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*o - 1538*o + 774*o - 2.\nAnswer: 19*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.1, 0.3, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -36. Solve -x + j = 2*x - 2, -w*x + 5*j - 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 35725 = -41683. Sort -2\/9, 1\/2, w in increasing order.\nAnswer: -2\/9, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 164*i + 1318. Is 20 a factor of q(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36247, -72476, -108705, -144934, -181163, -217392?\n\"Answer: -36229*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -5*r**4\/12 + 7*r**3\/6 - 79*r**2\/2 + 12*r. What is the first derivative of o(l) wrt l?\nAnswer: -10*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:27 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*o - 111*o = -108. What is the highest common factor of 48 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.01 + 3.99. Let j = z - 39.9999995. Round j to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzzuumuuuumzu. Give prob of picking 2 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -10 - (-1 - -2) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-18))\/((-10)\/(-220)))\/((-5)\/(720\/(-32)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0553 and 4492626580?\nAnswer: 4492626580.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -3265615\nAnswer: -13062460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 3)*(-963*h - 964*h - 1182*h + 1180 + 3118*h) to the form n*h + z and give z.\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 330 = 4*l - l, 4*t = 4*l + 440. Is -3 + 1 - l\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3372767 and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-3 + 1 + 1)*(-135 + 937 + 20)*(-k**2 - k**3 + k**2).\nAnswer: -1644*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3990824, -7981669, -11972514, -15963359, -19954204, -23945049?\n\"Answer: -3990845*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 8 = 3*p, -5*o + 1084*p = 1082*p + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**2\/2 - 4*s - 2. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.646473 to the nearest integer.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 3. Let r be s(4). Let u be (-5)\/r - (-58)\/6. Let j = u + -9. Is -2\/11 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24733.88 - -24734. Let a be ((-4)\/6)\/(8\/(-4)). What is the third biggest value in -3, r, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17344 + 17481. Sort d, 1, 4 in descending order.\nAnswer: d, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -111\/4, 4, -4, 1017?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*k - 5424, 3*k + 12 = -3. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108181500 divided by 10500?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/9*(-6)\/4. Suppose s = 2*k - 5. Suppose -2*n = -5*n + k. Which is bigger: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -54. Let l = s - -21. Solve -n - l = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*(-1149)\/18384\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.24737 + 0.05263. Which is the third biggest value? (a) -0.5 (b) f (c) 0.14 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3\/5, 11\/7, -1263?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4200674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 2 + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 224*z + 34521\/4.\nAnswer: -(z - 933)*(z + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/5 + 1796*x**2 - 71648*x\/5 + 143168\/5.\nAnswer: -4*(x - 2237)*(x - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 4, 105, -1, -25 in descending order.\nAnswer: 105, 4, 3, 2, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 29 = -29*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, u: 7}. What is prob of sequence wuuw?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:26 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 548.9 - -105.1. Let b = j + -453. Let u = b - 200.999911. Round u to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45725\/930)\/(1\/6). Solve -t*n - 48 = -287*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311203 - 233103?\nAnswer: 1023100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*s = -4*i - 18, -4*i + 3*s = 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86339.87l to millilitres.\nAnswer: 86339870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122996 and 8380412?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*f - 447*f = 107525. Does 160 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -2) + (-1 + -6 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b34987 (base 16) to base 8.\nAnswer: -54644607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11611\/4 - -2881. What is the common denominator of b and 39\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b + 1. Let v(a) = 5*a - 1. Suppose 180 = 5*u + 5*u. Let f = u + -22. Let d(r) = -4*r**2 - 2*r - 1. Let i be d(-1). Determine f*v(o) + i*q(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.56, 0.1, 0.4, -3\/5, -2\/17 in decreasing order.\nAnswer: 0.4, 0.1, -2\/17, -3\/5, -2.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -z + v + 139, -111 = -z + 5*v. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363953740?\nAnswer: 2, 3, 5, 23, 41, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 25 - 5 = 0. Let m(v) = 3*v + 9. What is m(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -11316 - 2204. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let m be j(4). Let q = -6 + 5. Sort m, q, -3 in decreasing order.\nAnswer: m, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-6 - -3 - -4). Suppose 0 = -2*g + 6*g - 12, 0 = 4*z + 2*g - 18. What is the second derivative of 71*l**3 - o*l - 77*l**z - 8*l wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -0.2 (c) -0.5 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 3. Let c(b) = 3*b + 1. What is -5*c(g) + 2*p(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 78. Let t be (-1 + q)*4\/8. Solve -2*b - v = -3*b - 2, -t*b - 4*v = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -29\/12*u**4 - 137\/10*u**5 - 8*u + 0*u**2 + 1\/6*u**3 + 9. Find the third derivative of s(q) wrt q.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d = -d - 5970, 5*q - 4*d = 5960. Suppose -3*m - q = -z, z + 4*m + 0*m = 1182. List the prime factors of z.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 728267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 25)\/((-19)\/133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 2*v**7\/105 - 67*v**6\/180 - 601*v**5\/90 + 17*v**4\/6 + 2*v**2 + 149*v - 4. Determine c so that r(c) = 0.\nAnswer: -6, 0, 1\/6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxxxfffxxxfx. Give prob of sequence dx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/49 (b) -0.5 (c) 5 (d) -9\/4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 384324*o**3 - 266040.\nAnswer: 1152972*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24319146 and -5?\nAnswer: -121595730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 58500.\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7843\/5 at most as big as 1569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/9 + 280558*z**2\/9 + 9830255390*z\/9 - 68935569374 = 0.\nAnswer: -70171, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -11 - 5) + 15 + -5 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 489280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + u + 4 = 0, 4*u = -15*z - 1242 + 1203 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -345, -412, -479?\n\"Answer: -67*k - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (2 + 1 + sqrt(7) - ((sqrt(7) + sqrt(112))*4 + sqrt(7)))**2).\nAnswer: -600*sqrt(7) + 14065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(90) + (sqrt(90) - (sqrt(90) + -2*sqrt(90))*-4) - sqrt(90))\/(sqrt(54)*-2))\/(2*-6*sqrt(80)*-3))**2.\nAnswer: 25\/27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(960)\/sqrt(12) - (sqrt(5) - (-5 + sqrt(45)) - sqrt(5))) + (1*sqrt(40) - sqrt(10))\/sqrt(2))**2.\nAnswer: -90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 52 = -88. Suppose 5 + p = -3*s. Let d = 19 + s. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3 + -38310.\nAnswer: -38306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 1\/5, 2\/9, 0.209, 157, 1\/3?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*b + 9 = 0, -4*q - 2*b - 27 = 3*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/447700 and -43\/223850.\nAnswer: 447700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*d**3 + 617*a*d**2 + 3*a - 160 wrt d?\nAnswer: 6*a*d**2 + 1234*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318*l + 908*l + 44250 + 11526 = -1758*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 877.8539394 and -4.\nAnswer: 873.8539394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 4.97. Let f = -8 + 7. Which is the third smallest value? (a) -3 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3092 - 3060. Solve 263*l - 271*l = d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -829 or -831?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 15*g**4 + 61*g**2 - 86*g**2 + 35*g**3 - g = 0. Calculate g.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3548 + 818. Let f = 87299\/20 - j. Find the common denominator of f and -95\/688.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48266 is divided by 24088?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 12*h - 8. Suppose 0 = -3*o + 17 + 13. Let a be x(o). What is the units digit of a\/8*(-44)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16826 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.455581mm?\nAnswer: 0.5455581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 95 + 15. What is the hundreds digit of (-5731)\/(-13) + b\/(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 17*y**2 - 9*y - 13. Determine i(-16).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860631?\nAnswer: 3, 41, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18448*m*s*y + 1236574*m + 547*s*y + 2*s + 3*y wrt s.\nAnswer: 18448*m*y + 547*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 8 = 0. Let x be 10\/3 + -1 - m. Let l = 5 + -4.9. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/(-5*12\/60*-6 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 + 0.8?\nAnswer: 247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24bde - -13a8?\nAnswer: 26097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*b + 67 + 125, 3*g + 2*b = -564. Let p = 2 + -6. What is the common denominator of -35\/6 and ((g\/15)\/(-2))\/p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let r(t) = 16*t**2 - 113301. What is r(l(s))?\nAnswer: 16*s**4 - 113301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6260000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75.28 and -10558?\nAnswer: 794806.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2466326 by -145078.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1356)\/(-904))\/((-6)\/(-8)). Solve 0 = u + 4*i - 5*i - z, u = -5*i + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:34 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 21*d**2 - 2*d - 9. Let v be z(-7). Solve 5*y + 0 = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 599*k**6 - 841*k**6 - 1604*k**4 - 4140*k**2 + 1605*k**4 wrt k?\nAnswer: -29040*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -554914*c**2*r**2*y**2 + 2*c**2*r - 97*c*r**2*y - 2*c - 3*r**2 + 7*r + y**2 wrt c?\nAnswer: -1109828*r**2*y**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.3. Let v = 1137335\/6 - 189556. What is the closest to 2 in 2\/9, v, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108913783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let q be 1 + 32\/(-11) - -2. Let w be 1 + (-3 - (-3)\/2). Which is the third biggest value? (a) l (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4620 (base 12) to base 7.\nAnswer: -31512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322786 and 10288?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/112 + l**6\/120 - l**4\/24 + 19*l**3\/6 - 10*l**2. Find the second derivative of k(f) wrt f.\nAnswer: 60*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = -2*u + 4, u = 1. Let g(q) = 2*q - 7. Let v be g(f). Let d be 20\/(-50) - (-186)\/15. Calculate the greatest common factor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 + 6 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14355 - (-50)\/(-13 - -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 39. Suppose 3*w - 5*i - 17 = 0, 17 = 3*w + o*i - 18. Solve -w = -5*b + 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f + 3*m, -5*f + 3*m + 49 + 96 = 0. Solve -9 = 7*o + f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -207*h + 1223. What is u(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2797 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619, 601, 583, 565, 547?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*n - 2268, -2*i + n = 5*n - 1510. Suppose -4*d + 193 = i. Let h = 1 - d. List the prime factors of h.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 5. Let q(w) = -2*w + 2. Let m(b) = -5*q(b) - 2*s(b). Let t(x) = x - 8. Let c be t(10). Let v(k) = 13*k**2 - 5*k**c - 7*k**2. Give v(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76833, -76896, -76957, -77016, -77073?\nAnswer: -77128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9272.38935 to the nearest ten.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + (-105)\/(-12). Let a = 16 - n. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/12 + 11\/24. Let h(m) = 24*m + 2. Let c be h(-2). Calculate the common denominator of (2 - 1) + c\/12 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 192 = -q + 5*f, -394 = -2*q + f. Suppose -4*m + 350 + q = 4*i, -i = 2*m - 272. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - -75 - (-20 - (3 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1110 - 1111 + 31*h**4 - 124*h**4 + 4*h wrt h.\nAnswer: -1116*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15295637.021274 take away 0.4?\nAnswer: -15295637.421274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = r - 5*m, 18 = 2*r + 4*m. What is the smallest common multiple of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25395 - -126972\/5. Sort c, -7, -1, -3\/7 in descending order.\nAnswer: -3\/7, c, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300*a + 11 + 4 + 7 - 22)*(-2*a**4 - 16*a**4 - 6*a**4).\nAnswer: -7200*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9607 is divided by 9596.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 4*s - 5*s)*(7 - 1 - 1)*(3 - s - 3) in the form i*s + c + h*s**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 12:34 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44201379*q**5 + 4*q**2 - 63190*q - 2.\nAnswer: 2652082740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + 5*sqrt(112)*-3)**2.\nAnswer: 112*sqrt(7) + 21953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 753 + 739 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 103 = -y + 2*f, 0 = 2*y + f - 41. Suppose -2*j + 14 = 3*c, 3*c + y = 3*j - c. Differentiate 0 - 2 - 6*z - j with respect to z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 6. Let o(w) = 2*w - 3. Let k(s) = -6*n(s) + 13*o(s). Let d(t) = -3*t**2 - 1. Let v be d(1). What is k(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 119 + w - 85 - 2*w. Let l be n(28). Solve -a = -l + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**4\/c)*c\/((c*(c*c\/((c**(-5)\/c)\/c))\/c)\/c*c)*c)\/(c\/(c*c**1\/c*c))**26)**(1\/67))**24 assuming c is positive.\nAnswer: c**(384\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -443 - -443. Suppose a*i - 13572 = -2*g - 2*i, 5*i + 13607 = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244114*f**2\/9 + 27056*f + 610\/9 = 0.\nAnswer: -305\/122057, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Which is the closest to 0? (a) -0.4 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 35 - 44. Suppose t = 4*g + 12, 113 - p = 3*t + 5*g. What is the remainder when 132 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, n: 1, p: 3, z: 2, h: 1}. What is prob of sequence hnpp?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -47*z**2 - 4*z + 28. Let f(x) = -16*x**2 - x + 9. Calculate -7*f(y) + 2*v(y).\nAnswer: 18*y**2 - y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040038 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -6. Let v = -6 - n. Let j(w) = -3*w + 1. Calculate j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -864, -865, -866, -867, -868, -869?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10474229 is divided by 10474152?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, 1 f, and 1 t when four letters picked without replacement from tlwwwwfwff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + t + 1 = a, -t + 1 = 0. Let c = 0 + a. Suppose -4*h + 3*l = 24, -5*h - 21 - 2 = -c*l. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11994857 and 24078.\nAnswer: 71969142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35e (base 16) in base 3?\nAnswer: -1011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-3)*(-36)\/126 - 1. Which is the second smallest value? (a) u (b) -13 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 171*l**2 + 1840*l + 4. Let x be g(-11). Calculate the highest common divisor of x and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -16.4. Let n = r + 17.0003. Round n to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4134427 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5 = 9. Let a(r) = -r**3 - 4*r**2 + 7*r + 7. Let s be a(p). Suppose 78*y = 73*y + s. Calculate the remainder when 34 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**5 + 15*r**4 - 220*r**3 + 195*r**2 + 110*r - 120 = 0. Calculate r.\nAnswer: -4, -3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 14*w**2 - 64*w + 513. Give h(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.043 + 87.951353.\nAnswer: 87.908353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -15.1. Let j = 0.439 - -0.361. Let z(n) = -2*n**3 + n. Let q be z(1). Which is the nearest to v? (a) 2\/3 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 22280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26418 and 219589524?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 - 0.082. Let x = -0.3517 + 0.0997. Let b = x - k. Round b to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112153824 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - t - 26. Suppose -a = x + 4*x - 7, 4*x - 14 = -2*a. What is the tens digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6*w - 1512. Let a be ((-9)\/(-33) + (-1788)\/(-220))\/(4\/(-110)). Let c = w + a. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47010 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 - 3) - -3 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from tttsttsmmtewtss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 0, -11*v - 771 = -7*v - 3*d. Let m be 1\/9 + v\/(-216). Solve -13 + m = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -576.8 (b) -0.05 (c) 2 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2\/7, -4, -2, 340, 0.1 in descending order.\nAnswer: 340, 2\/7, 0.1, -2\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r + 14. Suppose 0 = 3*w + r*w - 140. Suppose -1199 = 137*t - 15858. What is the remainder when t is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 3*z**2\/2 - 87*z. Let c = -3 + 7. What is k(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52771, 107793, 162815, 217837, 272859?\nAnswer: 327881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525074?\nAnswer: 2, 11, 29, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 t when four letters picked without replacement from zccztccccczx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 30726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -69*b**2 - 701*b - 46. Let i(a) = -11*a**2 - a + 2. Let d(z) = c(z) - i(z). Factor d(p).\nAnswer: -2*(p + 12)*(29*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/14*4*(-2)\/(-15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160362846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51807 is divided by 12548.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 26326.\nAnswer: 26326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28915137 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 15. Let m be j(-17). Let o(s) = -7*s**2 - 4*s - 4. Let r be o(-2). Let y be (-3 + 1)*m\/r. Sort y, 4, 5 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8853083 to three decimal places.\nAnswer: 2.885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25056 + 1.74944. What is the nearest to 0.3 in -31, 1\/4, -0.5, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6764*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 55*t. Let h be k(-2). Let y = -547\/5 - h. Factor 0 + x**4 + 0*x - 1\/5*x**2 - y*x**5 - 1\/5*x**3.\nAnswer: -x**2*(x - 1)**2*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 2. Suppose -28*d - a = -33*d. What are the prime factors of ((-28)\/d)\/(29\/15 - 2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 42*l**2 + 151*l. Let d be w(-4). Solve 2*y + 4 = -12*z + 11*z, d*z + 4 = -4*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*j**4\/3 - 66*j**3 - 37*j**2\/3 + 12*j - 4\/3 = 0. What is j?\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 399, 4, -1, -63 in increasing order.\nAnswer: -63, -5, -1, 4, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**6\/3 + 16*a**5\/5 - 24*a**4 - 512*a**3\/3 + 1024*a**2 + 351. Suppose b(f) = 0. What is f?\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 5 = j. Let f = 1106 + -1104. What is the third derivative of -15*c**6 - 10*c**6 - 6*c**6 + c**f - j*c**2 wrt c?\nAnswer: -3720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -392. Let r = 418 - i. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9087812 is divided by 171467?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8858144 by 2214536.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -31*f**3 - 5*f**2 - 16*f. Let k be m(-10). Suppose 5*u = -2*q + 12287, 3*u + k = 5*q + 4*u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*d + 19*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-4*3\/(-150)). Suppose -15 = 3*c - 0*c, -m = -5*d + 5*c. Suppose 14*i - 7 = 49. Solve -29 = -d*y - i*u, 4*y + 0*u - 18 = 2*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 319 = 5*o, 0*o - 251 = -4*o + 3*i. What is the highest common divisor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -799?\nAnswer: -1\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2*(-9)\/(-6). Let g(h) = -9 + v*h + 6*h + h. Let j(c) = 4*c - 5. What is 3*g(r) - 5*j(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.1181ml to litres.\nAnswer: 0.4191181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -369 (b) 5 (c) -4 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose b*a + 3*g - 6 = -3, a = -g. Suppose -2*v - 3*v + 20 = 0. Calculate the remainder when v is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57\/244 + -1\/61. Let f = -52 - -26. Let g = f - -26. Is g < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 9743904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 30331022?\nAnswer: -30331030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 88443*n + 4510593. Give y(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 137 - 291262?\nAnswer: -291128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28 - (6\/(-2) + (3 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23943*t + 23947*t + 7 = -33 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7))**27)**9 assuming h is positive.\nAnswer: h**(486\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 7*h + 34*h + 1456 = -22*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1699, 1787, 1927, 2113, 2339, 2599?\n\"Answer: -s**3 + 32*s**2 - s + 1669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91, 354, 783, 1372, 2115, 3006?\n\"Answer: -l**3 + 89*l**2 + 3*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -65, -125, -203, -299?\n\"Answer: -9*w**2 - 15*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 2\/7 (c) 4\/3 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 625904580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*d**2 - 2327375*d - 204145474 wrt d.\nAnswer: -50*d - 2327375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -3, -0.18, -2, -5, -0.66?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from {a: 4, s: 3, q: 2, u: 2, v: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 30*d + 8904. Let q = 1875 - d. List the prime factors of q.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 3*v + v)*(v - 4*v - v)*(6 - 40 + 9) to l*v**2 + u*v + f and give l.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**2*c*(((c*c\/c**(-1\/11))\/c)\/c)\/c)**34\/((c\/(c*c*c\/(c*c\/(c*c**0))))**15\/(((((c\/(c*c*c**(-3\/8)))\/c)\/c)\/c)\/(c*c**3\/c*c))) assuming c is positive.\nAnswer: c**(921\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*h**2*i - 30*h**2 - 2*h*i - h + 559*i wrt h.\nAnswer: -28*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 447714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -3\/4, -96, 5, 1\/11 in decreasing order.\nAnswer: 5, 5\/3, 1\/11, -3\/4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 48*w + 76. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143.5 - -148.5. Which is the closest to 1? (a) w (b) -1.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8187 and 775036.\nAnswer: 2325108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 0. Let y be (-10)\/(((-2)\/(-1))\/o). Suppose 0 = -0*s - 5*s + 250. What is the greatest common divisor of y and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t + 14. Let s be y(-8). What is the units digit of (43 - -17)*(-1)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let i(d) = 2*d + 10. Let p(t) = i(t) - 2*s(t). Let h be p(-8). Let u be 4 + 6\/(12\/h). Put 4, u, -4 in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -880, -1758, -2636, -3514, -4392, -5270?\n\"Answer: -878*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -7, -13?\n\"Answer: -6*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -11, -3, 0.3, 0.03, 4\/7 in ascending order.\nAnswer: -11, -9, -3, 0.03, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264 - 106 + 181)*(0*v + 2*v - 4*v).\nAnswer: -678*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(25\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((0 - -1)*-1). Solve y + 1 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -31*g**3 - 93*g**2 - 40*g + 12. Let z(i) = -94*i**3 - 278*i**2 - 120*i + 32. Let x(m) = 11*j(m) - 4*z(m). Solve x(w) = 0 for w.\nAnswer: -2, -2\/5, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**7\/5040 - r**6\/2160 + 8*r**3 + 31. Let o(m) be the third derivative of g(m). Find d, given that o(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7773, 15534, 23293, 31050, 38805, 46558, 54309?\nAnswer: 62058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 89940.\nAnswer: -89940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 10*g + 9. Let y be z(9). Suppose y*q = -q + 5. Suppose 3 = -n, -4*f - n + 0*n = -177. Calculate the greatest common factor of q and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 12*g**5 + 7*g**4\/4 + g**2\/2 + 91*g + 1. What is the third derivative of l(m) wrt m?\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*y - 2461*y = -682*y + 195168 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 9 in decreasing order.\nAnswer: 9, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5875*h + 157910. Determine f(27).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)\/o**(2\/19))\/(o\/(o*o\/(o*o**(-2\/5))))**(-20\/9) assuming o is positive.\nAnswer: o**(-1361\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f, -6 = -2*n - 2*f - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 31*c**2 - 82*c - 51. Let v be z(28). Suppose -3*o + 43*q - 2 = 45*q, -5*q - v = 0. Let l be -6*-2*(-2)\/232. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103733192 and -30.4?\nAnswer: 103733161.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 11, -1.8914 in descending order.\nAnswer: 11, -1.8914, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 168 = 6*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 176\/7? (a) 13 (b) 0.1 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2 + 8*i. Let a(m) = -m**3 + m**2 - 7*m. Let c(j) = -2*j - 1. Let d = -3 - -6. Let g be c(d). Give g*a(v) - 6*x(v).\nAnswer: v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/40)\/((-90)\/(-75))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*q - 4*c - 19, c - 6 = 0. Find b, given that 1\/5*b**q - 2\/5 + b - 4\/5*b**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - g = -70, -3*d - 4*g + 48 = -g. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 23302488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9611 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -587 - -552. Let t be ((-2)\/(-5))\/(49\/o). Which is the closest to 0.1? (a) 0.4 (b) t (c) 6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539.3*13.1.\nAnswer: 7064.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -414, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509561.4ml to litres.\nAnswer: 509.5614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*g - 4*v = 24, g - 4*v = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 1793589*v**2 + 193681368*v + 5229160740.\nAnswer: 3*(v + 54)**2*(v + 597755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2. Let p(h) be the first derivative of h**4\/8 - 7*h**3\/6 + 55*h**2\/2 - 70. Let m(w) be the second derivative of p(w). Calculate m(f(t)).\nAnswer: 6*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-160)\/28. Let d = 15 - 10. Let g(i) = d*i + i**3 - 4*i + 2 + 5 - 5*i + 5*i**2. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = 10, 4*q = 4*w - 12. Let d = 2.1 + -11.1. Let y = d - -9.01. Sort 3, w, y.\nAnswer: y, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290441 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4 + 2 - 6 + 3*d**2. Let g(u) = -4*u. Determine a(g(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10718873.\nAnswer: 11, 974443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123987\/172634 - 1\/39235. Let u = -49673\/44 - -2259\/2. Find the common denominator of u and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -900*o**3 + 310948*o**2 + 156391*o + 346 = 0. What is o?\nAnswer: -1\/2, -1\/450, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-33603)\/(-12) - 0) + (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from uadedaw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -10. Let i be (h\/7)\/((-12)\/14). Suppose 0*v**2 + 0*v - i*v**3 + 0 = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 810520, 810509, 810498, 810487, 810476?\n\"Answer: -11*y + 810531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1589 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 8*p**2 - 5*p + 1. Let i(q) = q**3 + 15*q**2 + 9*q - 2. What is -5*b(w) - 3*i(w)?\nAnswer: 2*w**3 - 5*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + y = -11*y, -5*k = -5*k - 2*k + 5*y - 58 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 7. Let z be n(-9). Let i = -45 - z. Calculate the common denominator of ((-126)\/i)\/((-5)\/10) and -24\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**4 + 15*m**3 - 4*m**2 - 4*m + 2. Let f(s) = 17*s**2 + 20*s - 11 + 3*s**2 - 76*s**3 + 0 + 25*s**4. Let x(t) = 2*f(t) + 11*v(t). Factor x(w).\nAnswer: -w*(w - 2)*(w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (3\/(-3))\/(1 - 0). Let l(j) be the third derivative of -j**6\/120 - 7*j**5\/60 - 7*j**4\/24 - 5*j**3\/6 - 5*j**2. Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(sqrt(12) - sqrt(108)))\/((2*sqrt(16))\/sqrt(4)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(130))\/sqrt(10) - -1*1*sqrt(13)) + (4*((sqrt(65)*-2 - sqrt(65)) + sqrt(65)))\/(sqrt(10)\/sqrt(2)*-6))**2.\nAnswer: 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - l)*(0 - 2 - 1 + (-2 - 3 + 6)*(3 + 0 - 5)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/380 and 77\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 21*h**2 - 3*h + 56. Calculate y(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -25. Let s = 38 + -35. Suppose 0 = -5*a - s*l + h, -2*l + 4*l - 34 = -5*a. Calculate the greatest common divisor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y - 20. Calculate the highest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -5\/4, -1\/3, 5, 4, 23 in decreasing order.\nAnswer: 23, 5, 4, 1, -0.3, -1\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 + 7\/4. Suppose j + 68 = 5*j. Let m = j - 15. Which is the smallest value? (a) l (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = 28*m + 100 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 14*i - 42. Solve i = 2*a + 2*j, -a + 15 = 4*a - 5*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sotsossoaaojasozos. Give prob of picking 2 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.0912 + -6.1. Round u to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**2)**3\/((i*i*i**(8\/5))\/(i**(1\/5)\/i)) assuming i is positive.\nAnswer: i**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*a - 870 = 19*a - a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*w = -221*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15303, -15279, -15255?\n\"Answer: 24*r - 15327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlmmlllygyy. Give prob of picking 1 g, 1 m, and 1 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/936775?\nAnswer: -2\/936775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {p: 3, g: 1, u: 2, w: 2, d: 1, v: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/90*5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + 16 + -65 + 78 - 8.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 14) in base 8?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7589*h**2 - 28*h + 15237. Let z(u) = 3787*u**2 - 16*u + 7618. Let i(y) = -4*c(y) + 7*z(y). Find the first derivative of i(j) wrt j.\nAnswer: -7694*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 243579*k**2 + 4955291649*k + 448916723073.\nAnswer: 3*(k + 91)*(k + 40551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4008 = -5*v, -826 + 3228 = 3*v + 2*r. Suppose -v = -4*w - 718. Calculate the remainder when 144 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 484?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:06 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*4*(sqrt(6000)*2*3 - sqrt(6000)))\/((sqrt(72) + (sqrt(72) - (sqrt(72) + 1*sqrt(72)*-6) - sqrt(72)) + sqrt(72))\/(sqrt(18)\/(sqrt(15)\/sqrt(5)))))**2.\nAnswer: 800000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*j**2*p + 4*j**2 - j*p - 162584*j + 290*p wrt p?\nAnswer: -31*j**2 - j + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -17 + 6. Let h(l) = -26 + 4*l - 11 - 39. Let a(w) = -w + 15. Let c(g) = n*a(g) - 2*h(g). Differentiate c(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:53 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454858600 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6372?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (1*sqrt(396) - sqrt(396)) - sqrt(396))\/sqrt(9)*3)\/(4*sqrt(100)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 476529 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 593367877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 142425*k + 1994930 = 0. Calculate k.\nAnswer: -28499, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(105))\/sqrt(5)*6)\/(sqrt(112)*-6 + (sqrt(7) - 1*sqrt(700))).\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:40 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose 0*i - n*i + 1110 = 0. Is (-4)\/(-6)*i\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:16 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -22. Let i = 9 - p. Let z = i - 9. Which is bigger: z or -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:24 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612.5449 milliseconds in hours?\nAnswer: 0.00155904025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9762, 9877, 9992, 10107, 10222, 10337?\n\"Answer: 115*y + 9647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 2, x: 1, o: 1, j: 5, u: 3}. Give prob of sequence jjj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k - 11*k + 33*k to h + u*k and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*3)\/(-4*4\/(-288))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363 = -5*p + 1458, 5*q + 82 = 3*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1440 or -1438?\nAnswer: -1440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*c + 6 = 0, s + 6*c + 5 = c. Suppose -10 = j + s*m + 8, -4*j + 13 = 3*m. Suppose 5*y + 18 = x + j*y, 0 = 4*y - 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 751 and 453604.\nAnswer: 453604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/41)\/((21\/70)\/(12\/(-16))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u**2 + 2*u)*(4 + 1 + 3) to t + h*u + n*u**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 12. Suppose 5*c + 0*c = 45. Is x(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 3. Let v(t) be the third derivative of t**4\/24 - t**3\/6 + 2*t**2 - 201. What is 3*v(f) - x(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 6*n = 3*n - 6, 5*n + 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39410.6 meters to micrometers.\nAnswer: 39410600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118 + -10?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from yiijyiyijjsiiysyjsi.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, 3\/40, -0.19533 in increasing order.\nAnswer: -0.19533, 1\/26, 3\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Let x be (-2)\/(n\/2*1). Solve x*a + 1 = 2*r + 5, -3*r = 2*a - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 6. Let v be o(11). Let d(k) = k**2 - 13*k - 10. Let n be d(14). Put v, 2, n, -1 in decreasing order.\nAnswer: n, 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 15*o**2 - 22*o - 32. Let a = -1032 + 1019. Determine p(a).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/4 + 4 - (4 - 17). Suppose -34*m + t*m = -6270. What are the prime factors of m?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - c - c + 179980, 0 = -2*w - c + 119988. Suppose -5*s - 4*p + w = -2*p, -3*s - 2*p = -35996. What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/96 + -3\/32. Let y = 40 + -40. Let p be ((-6)\/60*-4)\/(42\/(-10)). What is the nearest to y in s, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 62814?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 173, 5, 1774, -6\/11, 2, 6, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*o*q**3 + 7*o*q**2 + 14939535*o*q - 24*q**3 + 14*q**2 wrt q?\nAnswer: -150*o*q + 14*o - 144*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 - -282. Calculate the smallest common multiple of 5 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99) + -4 + sqrt(99)*1)*-6 + 5)**2.\nAnswer: -26208*sqrt(11) + 236377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*h - 4\/7*h**3 + 0*h**2 - 2\/7 + 2\/7*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + j + 32 = -389, -3*v + 251 = -j. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.101 + 107.199. Let t = -107 + v. Which is the second biggest value? (a) t (b) 2 (c) 0.2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 + -3)*(-3)\/6)\/(-1). Let m(x) = 15*x - 52. Let a(w) = -22*w + 79. Let t(k) = 5*a(k) + 7*m(k). Is t(z) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*-4*sqrt(133) + sqrt(133))\/(sqrt(63)\/sqrt(9)*5)*1 + 2)**2 + -5.\nAnswer: -36*sqrt(19)\/5 + 688\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 139, -119, -15, 2, -5 in increasing order.\nAnswer: -119, -15, -5, -4, -2, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0 = -10. Let a(b) = 7*b**2 + b**t - 5*b**2 + 6*b**2. Let h(r) = 5*r**2. Calculate h(a(q)).\nAnswer: 405*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42\/5*m**2 + 0 - 1\/5*m**3 + 88\/5*m = 0. Calculate m.\nAnswer: -2, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503798.3 days to microseconds.\nAnswer: 43528173120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*a = 38058, -w + 28*a + 12702 = 27*a. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-8))\/((-3)\/(-24)). Suppose -r = 1, -t - 3*r + 11 = -r. Let q be -10 + t + 82\/p. Calculate the greatest common factor of q and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4011 (base 5) in base 3?\nAnswer: -200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1. Let h(q) = -8*q**2 - 3. Let m(g) = -3*g**2 - 1. Let s(d) = -2*h(d) + 5*m(d). What is 3*p(n) - 3*s(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 1, m: 3, u: 1, h: 3, y: 2}. Give prob of sequence muhe.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188372 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 10 - 7. Solve -q*k - 4*n - 30 = -n, -k + n = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.6. Let l = 2.4 - n. Let p = -8592 + 25777\/3. Put l, p, 3\/2 in decreasing order.\nAnswer: l, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - x = 3*q - 7, q = 4*x - 7. Suppose 880 = 3*h + q. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:16 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -4, 129691 in increasing order.\nAnswer: -6, -4, -3, 129691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 10*m**2 - 11*m + 7. Let b(p) = -7*p**3 - 2*p**2 + 9*p - 8. Let o be b(1). Give d(o).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012821227 rounded to six dps?\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5633805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11284, -11280, -11274, -11266, -11256?\nAnswer: -11244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v. Let j(c) = -6*c**2 - 7*c**2 - 4*c**2 - 7*c**2 - 3*c**2. Give g(j(a)).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 134*v - 2715. Determine n(14).\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {z: 1, s: 1, w: 1, x: 1, m: 6, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -0.5, -2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 503937 or 503562?\nAnswer: 503562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llupvuwpubluulblpvlu. Give prob of sequence vp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g + 14. Let j(n) = 3*n - 3. Calculate 2*h(b) + 22*j(b).\nAnswer: 80*b - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2036, 0.2, -7\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -256, -334, -416, -502?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 55*w + 58 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -98\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (39\/26)\/((-1 + 0)*1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 3, j: 1, f: 1, v: 4}. What is prob of sequence yfv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-4176)\/63. Let h be 2\/s*531\/(-6). Let q = 149\/22 + h. Find the common denominator of q and 83\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -3*p, -6*p = -2*p + 5*f - 21. What is the highest common factor of 44 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 775 + 105 = 0. Solve -2*y + r = -6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-143)*(-4)\/(-10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 38*s + 2814. Let m be j(-73). Calculate the highest common factor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*w - 8*w - 29, q = -5*w - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 48\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70579668.\nAnswer: 2, 3, 5881639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(153)*-1 - sqrt(153)) + (sqrt(153)*2*1 - sqrt(153)))\/((sqrt(2304) - sqrt(2304)*1) + sqrt(36)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26045411 divided by -4\nAnswer: -26045411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*y + 25, -292*y + 604*y = 310*y - 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 0 + 0 + 20*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*h**2 + 135 + 105*h**2 - 2*h + 2*h + 190*h**4 wrt h.\nAnswer: 760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(7920) - (sqrt(7920) + 3*sqrt(7920)))\/(sqrt(5)*-3*2))*2.\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/25 (b) 4 (c) -5 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 47933794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g + 2. Let o be q(2). Suppose 0*w + o = 2*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 11*s**4\/6 - s**3\/3 + s**2\/2 + 14*s. Is 17 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122313 to the nearest 1000.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 564488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 - 15*g + 22. Let o be f(2). Suppose 2*h - 59 = -15. What is the remainder when 2 + (-15)\/o - 4585\/(-56) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*m - 62*m - 54*m)*(-31 + 3*m**2 + 27 + m**2).\nAnswer: -644*m**3 + 644*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 3*d - 1. Let x = 56 + -40. Let w(g) = -g**2 + 16*g + 5. Let v be w(x). Let a(y) = -y. Let t be a(v). Give p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 5, d: 6}. Give prob of sequence nun.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4097*j**6*u**3 - j**6*u - j**2*u**3 + j**2*u**2 + 3*j**2*u - 25 wrt j?\nAnswer: -491640*j**3*u**3 - 120*j**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 1024774.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5 - 4905*t**4 - 6017208*t**3 - 6012304*t**2 = 0 for t.\nAnswer: -2452, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*z + 92 = -3*s, 0 = -5*s + z - 230. Let b be 1*((1 - -97) + -3). Let q = b + s. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 - 1157*m + 12058. Calculate g(10).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55713\/4 - -13928. Let u = -2 + 4. What is the nearest to u in 1, g, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**6\/15 + 6*a**5\/25 - a**4\/5 + 91. What is i in d(i) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k + 1. Let d be z(-1). Suppose -2*o - 5*y = -10, o - y - y - 14 = d. Calculate the smallest common multiple of o and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(1\/6)\/((-388)\/1552)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 2679. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:23 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + -0.07. Let b = 0.49 - 0.49. What is the third biggest value in -0.05, s, b, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 x, and 1 p when four letters picked without replacement from nnntndndxppndxx.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831315354.\nAnswer: 2, 11, 71, 1172417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.06 (c) -250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/210 and 61\/700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -120334101 (base 5) to base 14\nAnswer: -107839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/726)\/((-1)\/46)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (-1 + sqrt(200) - sqrt(200)))*4)*-1 + (3 + (4*sqrt(162) - sqrt(162)))*-5.\nAnswer: -185*sqrt(2) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 - -154. Let x = u + 81. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4379 - 4358. What is the remainder when 226 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -2*v**6\/45 - v**5\/24 + v**4\/12 - 12*v. Let h(y) be the third derivative of c(y). What is the units digit of h(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2262 and 106.\nAnswer: 119886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -37, -63, -99, -145, -201, -267?\n\"Answer: -5*x**2 - x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -3.5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1227110 and 160366?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-32)*(-1)\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16) + 8\/(-448)*9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -57 + (9 - 14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0398, 5, 11\/4, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 10*m = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 577050259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3862526 and 706.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 g, and 2 y when four letters picked without replacement from cccyyccygyyyycg.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 2, q: 2, p: 2}. Give prob of picking 1 q and 1 a.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(y**3 + 0 + 0) + (-4 + 2 - 3)*(0*y + 2*y - 3*y)*(-14*y**2 + 4*y**2 - 9*y**2).\nAnswer: -93*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 11. Let v(c) = c - 2. Let h(r) = 6*k(r) + 33*v(r). Let x(n) = 2*n**2 + 4*n**2 - 2*n**2 - 2*n**2. What is h(x(b))?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/(19 - 20). Let y(g) be the second derivative of b*g**4 - 3\/50*g**5 - 3*g + 0*g**2 + 4\/15*g**3 - 1\/75*g**6 + 0. Factor y(f).\nAnswer: -2*f*(f - 1)*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836660.6 years to millennia.\nAnswer: 836.6606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 9:00 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39776 is divided by 170.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/19 - 98232*s - 11198520\/19.\nAnswer: 2*(s - 933210)*(s + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1445*b**2\/2 + 18*b + 20. Let x be n(10). Let t = x + -21468. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 4637*v**3 - 24390*v**3 + 3*v**2.\nAnswer: -19753*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133657179 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003868 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 40. Suppose 2*n - 5*f = r, 3*f + 1 = -3*n + 10. Suppose 2*t - t - 394 = 5*o, -n*o = -3*t + 1146. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 0*j. Suppose -11 = -j*k + 21. Calculate the lowest common multiple of 6 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 2*w**2)*(-206912 + 206912 - 442*w**3).\nAnswer: -884*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 23*p + 22. Let t be z(12). Suppose -14*c + 21*c - t = 0. Differentiate -10*l**2 - 21*l**4 + 44 - 12*l**2 + c*l**2 wrt l.\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286547, 286479, 286411, 286343, 286275, 286207?\nAnswer: 286139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {y: 4, d: 6, f: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (35320 - 20898 + 527)*(-k**2 + 2*k**2 - 3*k**2) in the form n + s*k + h*k**2 and give h.\nAnswer: -29898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2 - (-12)\/3. Suppose 8*c + 1 = 2*k + 3*c, g*k + 4*c = 19. Factor 1\/2*z + 3\/2*z**2 + 0 + z**k.\nAnswer: z*(z + 1)*(2*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + 0.84. Let r = 109 + -105. Let v(w) = -w + 7. Let o be v(8). Put o, b, 5, r in descending order.\nAnswer: 5, r, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - 1. Let c = -18601 - -18607. Suppose 0 = u + 2*u + t, -2*u = 2*t + 4. Let l(q) = -5*q**3 + 6*q**2 + q + 6. What is c*s(p) + u*l(p)?\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.088917 rounded to 0 dps?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*o - 20, -2*q + q - 4*o = 16. Suppose q = -5*b + 3*b + 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -233300.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-151311)\/(-135) - 3) + 14\/(-63). Let p = 1120 - r. What is the common denominator of p and ((-38)\/24)\/((-2)\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5\/9 (c) 5\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 219*s**4 - 479*s**3 + 8259*s**2 - 18170*s + 10608 = 0. What is s?\nAnswer: -8, 1, 2, 3, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15*u)\/((u\/((u*u\/(u**12*u))\/u))\/u))**(-17)\/((u\/(u\/(u**(1\/4)\/u)*u))**9*u**2\/((u\/(u*(u\/(u*u\/u**4*u))\/u))\/u)) assuming u is positive.\nAnswer: u**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 18, 38?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 683892?\nAnswer: 56079144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01980234 or -8?\nAnswer: -0.01980234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*y + 13. Let q(b) = -b**3 - b**2 + b + 1. Let k(p) = 9*p**3 + 6*p**2 - 7*p - 4. Let j(a) = k(a) + 6*q(a). Is j(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35263, 70730, 106191, 141646, 177095?\n\"Answer: -3*n**2 + 35476*n - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p**2 - 80*p**2 + 203*p**2 - 87*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from nbobionbnbo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = 10*j. Let n(h) = h**3 - 8*h**2 + 6*h + 1. Let y(l) = l**3 - 9*l**2 + 7*l + 2. Let t(m) = j*n(m) + 5*y(m). Determine t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c. Let b(y) = 3040*y**2 + y + 1. What is b(g(q))?\nAnswer: 1900000*q**2 + 25*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 18. Let d be f(-16). Let k(p) = -p**2 + 6*p + 13. Let w be k(d). Sort w, 11, -1.\nAnswer: w, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78049 is divided by 446.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 36*m + 31*m + 1 - 64*m. What is h(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8621, -17243, -25863, -34481, -43097, -51711, -60323?\n\"Answer: p**2 - 8625*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493108 is divided by 243086.\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-8)\/x*x))\/x)**(-19\/2))**(-50) assuming x is positive.\nAnswer: x**3800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/12 + u**3 + 5*u**2\/2 + 16*u. Let k be n(6). Which is smaller: k or 27\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 70*d**2 + 25*d - 294. What is r(-22)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 52345?\nAnswer: 52345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377777 - 377777.032. Suppose 3*j - 19 = j - 3*k, 5*j = 2*k + 19. Which is the smallest value? (a) 3\/4 (b) j (c) x (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*l**4 - 337205*j**2*l**2*u - 4*j**2*l*u - 3*j**2*u + 78484*l*u wrt l.\nAnswer: -48*j**2*l**2 - 674410*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1471953, 2943920, 4415887, 5887854, 7359821, 8831788?\n\"Answer: 1471967*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 53*t**2 + 0*t + 0*t**5 - 1\/8*t**4 + 1\/120*t**6 + 5\/6*t**3 + 0. Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 + 12220*r - 28354296 = 0.\nAnswer: -4597, 1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/48 - ((-1045)\/152 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -254500 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 55*z + 2. Let o(r) be the third derivative of 0*r**3 + 0*r**4 + 102*r**2 + 0*r + 0 + 1\/60*r**5. What is j(o(d))?\nAnswer: 55*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1\/77 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011100 - 11?\nAnswer: 22011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 46, 100, 176?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b - b + 32*b**3 + 28*b**3 - 5*b + 5 - 78*b**3. Let q(m) = 18*m**3 - 6*m - 6. What is -6*f(r) - 5*q(r)?\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6670 and 1334?\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 15. Let h(v) = v**3 - 6*v**2 + 3*v + 4. Let i be h(d). Find the common denominator of 89\/18 and (i\/9)\/((-56)\/(-246)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*234.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 858, 902, 906, 870, 794, 678?\n\"Answer: -20*a**2 + 104*a + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.095 - 0.305. What is the closest to 2 in y, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*(-496240)\/30)\/((-26)\/(-39)).\nAnswer: 2, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - -5. Suppose -1 + g = -2*a. Let i be 36\/(-5)*a\/12. What is the greatest common divisor of i and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16424299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1.4604.\nAnswer: -1.3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -17*x - 14. Let d be p(-5). Let t = d + -71. Let l be -2 + t - (2 + -6). Solve -4*n + 2*n + l*z - 10 = 0, 0 = 3*z - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from yyzzzzzzyzzzyzyyzzz.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -211080, -422248, -633410, -844560, -1055692, -1266800, -1477878, -1688920?\n\"Answer: c**3 - 3*c**2 - 211166*c + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*b + 4 - 20 - 4, -4*s - 28 = -81*b + 85*b for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/36 and 1\/1836?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -63*i + 443. Give a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 178*k - 33 - 33 + 102 to h + d*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664694 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -3*g, u + 7 = g + 15. Suppose -3*z = -0*q + 2*q - 100600000, u*z + 251500000 = 5*q. Round q to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*s - 603*s - 989*s - 535*s.\nAnswer: -1390*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiciiiciiiicciciii. What is prob of picking 2 i and 2 c?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - -0.4. Let p = w + -0.438. Let c = p - 0.1307. Round c to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 104\/27, 0.4, -1\/6, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.016227 and -647001.\nAnswer: -647000.983773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 4*l - 5 = 0, 0 = -5*g + 3*l - 42. Let u be ((-4)\/(-6))\/(g\/(-27)). Suppose 5*q + u*r = -19, 0 = -4*q + 2*r - 8. Is -14\/9 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -214971637, -214971636, -214971635, -214971634, -214971633?\n\"Answer: f - 214971638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100111 + -1111000010011?\nAnswer: -1000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 45*c**2 - 8131*c - 2533. Determine i(181).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 225040 (base 6) in base 3?\nAnswer: 222101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 2*s\/3 + 1.\nAnswer: -(s - 3)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 36, 73, 124, 189, 268?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 853593?\nAnswer: 5975151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/660)\/(-2)*(-10)\/15\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702126, -702128, -702130, -702132?\nAnswer: -702134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/8161347 and 37\/11490.\nAnswer: 81613470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(1512) - -2*sqrt(1512)))\/(2*sqrt(486)*-6 - ((sqrt(486)*2 - sqrt(486))*-6 - sqrt(486))).\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -5*q**4\/24 - 4*q**3\/3 - 10*q**2 + 3*q. Let w(l) be the first derivative of n(l). Let j be w(-2). Sort j, 3, 5.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-2)**2 - sqrt(80)) + 2 + -4 + sqrt(15)\/sqrt(3)*-3.\nAnswer: -7*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145541302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b)\/b*b*b**(2\/5) assuming b is positive.\nAnswer: b**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.005 + 0.005. Let y = 53.5 + h. Which is the closest to 4? (a) -5 (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -13, 28, 121, 284, 535, 892, 1373?\n\"Answer: 3*l**3 - l**2 - 11*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/140 + v**6\/60 - v**3 - v**2. Let d(n) be the first derivative of a(n). Find the third derivative of d(r) wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15956 is divided by 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230c9 (base 13) to base 4.\nAnswer: 33212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 8*v + 4. Let u be z(8). Let a be ((-4)\/10)\/(u\/(-110)). Let o be 2*1*(0 + 1). What is the second biggest value in a, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341.726595 rounded to the nearest integer?\nAnswer: -2342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305335003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.303594 hours to microseconds.\nAnswer: 26292938400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 9*f + 5. Let n be r(4). Let k(j) be the first derivative of 41*j**3\/3 + 3*j**2\/2 - 2*j - 3. Does 14 divide k(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221 - 219. Let j be 3\/(21\/2) - 54\/(-7). Solve -h = 5*s - j, q*s + 4*h - 9 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 g, and 1 u when four letters picked without replacement from guwguwwwwuwuwwu?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -7042, -0.1, -1\/3?\nAnswer: -7042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18*m - 19. Let t be r(-10). Let v = t - 155. Calculate the remainder when 28 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n**2 + 0*n**2 + 8*n**2 + (-3*n - n + 3*n)*(1 - 2*n - 1) - n**2 - 3*n**2 + 5*n**2 - 3*n**2 - n**2 + 2*n**2)*(0*n - n**2 + 0*n).\nAnswer: 19*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -395, -684, -1097, -1634, -2295, -3080?\n\"Answer: -62*z**2 + 21*z - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -79 (b) -1 (c) 1.1891\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 81*n - 26. Let g(b) = -46*b + 25. What is -3*g(i) - 2*o(i)?\nAnswer: -24*i - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5674 + 5673. Suppose u = 5*u. Let r = -2 + u. Put 5, -4, r, d in decreasing order.\nAnswer: 5, d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose i*q = 648 - 228. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672553.\nAnswer: 3, 13, 17, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35336, -282675, -954008, -2261333, -4416648, -7631951, -12119240, -18090513?\nAnswer: -25757768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*z + 385*z - 27 = 0. What is the highest common divisor of 84 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275407*f + 275510*f = -1648 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11376*n - 82*n**2 + 9*n**2 + 11353*n wrt n.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/15 - 50\/(-75)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 - 7*i**2 + 5*i + 14. Let b(w) = -30*w**3 - 29*w**2 + 21*w + 56. Let d(p) = -3*b(p) + 13*o(p). What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-969)\/(-19) + 5 + (-8)\/(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8839*h*u - h - 34*u - 158486 wrt u.\nAnswer: -8839*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47368 and 5348?\nAnswer: 331576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -990946 and 0.14?\nAnswer: -138732.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101012 (base 4) in base 10?\nAnswer: -1094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6239 and 25323?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20\/51 - -151\/255. Sort o, -5\/2, -46, -5 in decreasing order.\nAnswer: o, -5\/2, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 3836*m**2 + 3836*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(4*sqrt(10)))\/(sqrt(270)\/sqrt(6))*-1.\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1617 = -13*v - 7*v - 11*v - 956 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:04 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12222 and 0.2.\nAnswer: 2444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-50)*32\/168*159\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)*j*(((j*j*j*j**(-37)\/j)\/j)\/j*j)\/j*(j*j\/(j\/(j**(-2\/47)\/j)))**(-25) assuming j is positive.\nAnswer: j**(-2159\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 5) to base 13.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p + 2. Calculate q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32552+-95697\nAnswer: -63145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - -42850?\nAnswer: 42880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 2*l**6\/15 + 3*l**5 + 9*l**4 + 26*l**3\/3 - 162*l. Let n(o) = 0. Calculate o.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-54))\/((-14)\/42).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*o + 142772 = 139440 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -14. Let f = r + -4. Suppose 3*j - m = 84, -4*m + 36 = f*j - 34. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.731 times 1607\nAnswer: 1174.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4371 (base 10) in base 9?\nAnswer: -5886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-4)*8\/6. Let d(k) = k**3 + 3 + 2 - 22*k - 6 + 12*k**2 - 8*k**2. Let r be d(-7). Solve r*y - c = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 94*p + 1. Let v(b) = -131*b - 2. Give 3*v(d) + 4*x(d).\nAnswer: -17*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(3 - 0) + 2. Let j = 3418 - 3411. Let k = h - j. Solve k*z - 5*a = 4*z - 33, 4*z - 13 = -a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750\/40 + (-1)\/(-4) is divided by 1 - (-7 + -1) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36923 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1 - 249\/(-78). Let i = 4\/13 + m. What is the closest to 2\/7 in 5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Let o = -4 - -7. Suppose -7 = o*l - b*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/10 - 3*o**2\/2 - 2*o - 3. Let j(m) be the first derivative of n(m). Find the first derivative of j(p) wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*n - 81 + 84 + 52*n**2 - 103 + 8*n wrt n?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166648*v + 166664*v - 32 = 0. Let q(o) = -o**3 - 4*o**2 - 5. Let m be q(-4). Let w(b) = -3*b - 17. Let s(r) = -r - 8. What is m*s(g) + v*w(g)?\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 80*z**2 + 334*z + 220. Calculate q(84).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(2\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -0.9669227 in descending order.\nAnswer: 3, 1, -0.9669227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.31.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 886313585*a**4 + 203796253*a wrt a.\nAnswer: 10635763020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 252627 divided by -321\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86191 and 2548?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1003390, -1002655, -1001920?\n\"Answer: 735*r - 1004125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6)*8\/3. What is the common denominator of (-1)\/(-4)*(-2)\/b and -1 - (-267)\/12 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5*p + 5. Let n(q) = -q + 1. Let r be n(-4). Let x be c(r). Solve 0 = 2*u - o - 4, -2*o + 19 = x*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9678 divided by -6.\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 171*q + 1119*q + 2.\nAnswer: 948*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 443 = 197 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/8 + 590571*t**2\/8 - 81455949*t\/8 + 2809737477\/8 = 0. What is t?\nAnswer: 69, 196719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*i**3 + 191484*i**2 - 22*i - 323701.\nAnswer: -120*i + 382968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 - 63\/(-15). Suppose -p + 3*p - 18 = 0. Suppose -4*a - q*y = -p - 7, 5*a - 20 = -2*y. Solve -5*k - 11 = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -918 divided by -18\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9323 + -9323. Solve l = -4*z + 3*a + a, -z - 3*a - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u, 0 = 2*p + 3*u - 22. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -1\/6, 0.5, -0.4 in increasing order.\nAnswer: -0.4, -1\/6, 0.5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1062, -2042, -2980, -3876, -4730, -5542, -6312?\nAnswer: -7040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/7)\/p*p)\/p)\/(p\/(p\/(p\/p**(-3\/11)))) assuming p is positive.\nAnswer: p**(-219\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 7*m + 49 - 3 = 2*m, -20*m - 67 = -3*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245210 divided by 31.\nAnswer: -7910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**8\/f*f)**7*f**(3\/4)*f*f**(22\/5) assuming f is positive.\nAnswer: f**(1523\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 24*n**2 - 4*n + 24.\nAnswer: 4*(n - 6)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123437 is divided by 115.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5002521*r**3*u**2 - r**3*u + 45*r**2*u - 76*r*u + 2 wrt u?\nAnswer: 10005042*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*g - 64, 6*j - 5*j = 2. Sort 7, g, -5 in ascending order.\nAnswer: g, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3804 = 265*z + 359 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:20 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {r: 3, n: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Let r(w) = -8*w + 7. Let s(h) = -9*h + 8. Let p be 10\/6 - 2 - 98\/(-42). Suppose -3*o - 18 = p*q + 11, -3*q = o + 26. Calculate c*s(i) + q*r(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262.0701 kilometers to meters.\nAnswer: 262070.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*f = 104, -2*f - 244 + 156 = 4*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 62*d**4 + 1321*d**3 - 10460*d**2 + 17200*d - 8000.\nAnswer: (d - 20)**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drhrqmm. Give prob of sequence md.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2869430 and -0.4.\nAnswer: 1147772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15766.\nAnswer: 1\/15766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 805717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2 + 3*r - 3 + 4 - 2. Suppose 0*y = -3*y + 18. Let d(t) = t - 2 - y*t + 2*t. Give -4*c(u) - 3*d(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c - 18*c + 2 + 4*c. Let z(x) = -10*x + 10. Give -16*t(f) + 3*z(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/55 and 101\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by -2.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**9\/3780 - u**8\/1120 + u**6\/360 + u**4\/4 + 2*u. Let v(b) be the third derivative of w(b). Factor v(m).\nAnswer: -2*m*(m + 1)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 8. Let u be o(7). Let v be -1 - (-1 - (159999 + u)). Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3)**44 assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*j + 4130, 4*u + 6*j = 2*j - 8220. Let z = u - -6837. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -4. Let a = -5 + y. Suppose 0 = -4*w + a*w. Solve -3*i + w*i = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312407919.\nAnswer: 2312407919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 29 + w - 27 + 3*w - 2*w - 3*w**2. Let r be 4\/14 - 40\/(-7). Let b(x) = 25*x**2 - 17*x - 17. Give r*b(s) + 51*t(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 + (2 - 3) + -2. Let t = i + -5. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let o(u) = u**2 - 1854*u. Calculate o(z(i)).\nAnswer: 4*i**2 + 3708*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -197*v - 4. Let f(h) = -138489*h - 2814. What is -2814*b(d) + 4*f(d)?\nAnswer: 402*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let m = -47476818 - -120276813. Suppose 4*u = z - d*z - m, -3*z - 15 = 0. Round u to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 35665\nAnswer: -178325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 + 25. Let l(s) = s**3 - 5*s**2 + s - 3. Let v be l(4). Let z = a - v. What is the highest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -845 + 1868. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 17*h + 4)*(-4 + 0*h**2 + h**2 + h + h**2) as p*h + c + l*h**3 + y*h**2 and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (82 - (75 - -39))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 300. Let o be y(23). Which is smaller: 1\/852 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 25*l - 8*l - 32 in the form w + x*l and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 195.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.2 - 17.826. Let c = -0.0506 - -0.0066. Let a = t + c. What is a rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1256\/(-40) - 2\/(-5). Let s = -28 - r. Calculate the greatest common divisor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3211447 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/17 (b) 16 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1170)\/20*4*7\/336 and 37\/968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-490))\/(951\/(-6340))*(-56)\/12?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 10*o**2 + 11. Let r be v(-10). Find the first derivative of 64 + 91*h + r*h - 44*h wrt h.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -3*a. Let v = a + 4. Suppose -v = -5*x + 1. Solve -x*d = -16 + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1917 = -370*b + 2477 + 2400 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(2592)*2)**2.\nAnswer: 432*sqrt(2) + 10377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27058, -33417, -39776, -46135?\n\"Answer: -6359*b - 20699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcofw. Give prob of sequence wq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 - 2. Let a be v(2). Let l = -1 - a. Suppose -4*z + 3*t - t + 22 = 0, 0 = l*z - 2*t - 29. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24408693 is divided by 1525543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69195.\nAnswer: 3, 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, q: 11}. Give prob of sequence qqmm.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 938 by -110465.\nAnswer: -938\/110465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.0143\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 5)\/((-4)\/20). Let q be (20\/8)\/((i\/12)\/7). Solve -u = q - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 113?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 228, 514, 914, 1428, 2056?\nAnswer: 2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481326 is divided by 87.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 24*w**2 + 2. Let v be a(12). Let u be v\/((-2)\/(-7) - (-20)\/28). Solve -2*k - u*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/530)\/((-13)\/5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8547\/34.\nAnswer: -8547\/34, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689891 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t + 227 = -641 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 17. Let y be l(12). Suppose -5*n - y*r = -110, 3*r - 4*r - 2 = 0. What is the highest common factor of n and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {m: 6, q: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6572 - -11538. Suppose -2*o - u + 28704 = 0. Let m = o + -189813\/16. Find the common denominator of m and -83\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (-4 + sqrt(288))*-1 - (sqrt(288) + 2 + -3)**2) + -3 + (-2 + (sqrt(288) + 0 + sqrt(288))**2 + sqrt(288))*-6.\nAnswer: -7188 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127472648 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -2 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3526179 = 117*o + 3536241 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 3:23 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.127 - -1.373. Let c = 1.5000164 - b. Round c to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 4\/9, 0.3, -0.09, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 14) to base 9\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223232*r**3 + 461085760*r**2\/3 - 26454806496*r + 2528172 = 0. What is r?\nAnswer: 1\/10464, 1377\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/3))\/n)**(-1\/5) assuming n is positive.\nAnswer: n**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 + 0.08. Let n(k) = 15*k - 69. Let p be n(5). Suppose -2*t + 4*s = -8, p*t + 5*s = 3*t + 1. Which is the biggest value? (a) t (b) -0.09 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = w + 4, w + 2 - 4 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*i + 5*n + 60, i - 20 = 4*n. Solve 0 = 3*p + i*v + 44, 0 = 3*p - 6*v + v - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(2\/4)*16814\/(-3603)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 844*f - 846*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let y(o) = 7*o - 10*o - 22*o - 8 + 12*o. What is m(y(l))?\nAnswer: 338*l**2 + 416*l + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -10*v**6 + 328*v**5\/5 - 374*v**4\/3 + 160*v**3\/3 + 22*v**2\/3 - 8*v + 1014. Find p, given that b(p) = 0.\nAnswer: -1\/5, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r + 4*u, 9 - 23 = -r - 4*u. Let b be -2*(12\/(-8))\/1 - r. Solve b + 7 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/8 + 3\/(-12). Let m(a) = 4*a - a - a - 3. Let o(c) = c - 2. Let r(h) = v*o(h) - 3*m(h). What is r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 392.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q\/q**(-7))\/q)\/q)*q*q**(-2\/7)\/q*q*q\/(q\/((q\/q**(-6))\/q))*q*q\/(q\/q**(2\/3)*q) assuming q is positive.\nAnswer: q**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0526 - -302.9474. Let x = 302.7 - n. What is the fourth smallest value in 2, x, 1\/4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-23)*a\/(a\/((a*(a**(-1\/17)\/a)\/a)\/a))*a**(-1\/6)*a*a**32*a assuming a is positive.\nAnswer: a**(5689\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -3\/19, 5, 2, -2700?\nAnswer: -2700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 7*l + 4. Suppose 0*s - 2*s = -5*r - 4, 5*s - r + 36 = 0. Let o = s + 4. What is the units digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 39237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150375, 150378, 150381, 150384, 150387, 150390?\nAnswer: 150393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 - 179 - 18*d)*(341 - 113 + 149).\nAnswer: -6786*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.78 + -2.12. Let h = -69 - q. Let m = 10.5 - 11. Sort m, 24, h in descending order.\nAnswer: 24, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*c*v + 22750755*c + 136796155*v - 2 wrt c?\nAnswer: 6*v + 22750755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*(1 + -2). Suppose l = -3*r + 36 - 21. Solve -r - 1 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5125 divided by 5125?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4329910, 8659822, 12989734, 17319646, 21649558?\n\"Answer: 4329912*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -14. Let r = -6 + m. Let b be (-1)\/(1 + (-32)\/30). Solve 0 = 3*u + g - 1, r*g + 0*g = -b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29250 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9338 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669*u**3 - 3578991*u**2 - 335*u**3 + 3578991*u**2.\nAnswer: 334*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 36, 37, 36, 33, 28, 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/273*299\/230?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, -686, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsugw. Give prob of sequence su.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10987 - -10987.04. What is the biggest value in x, 10, 2, 2\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 14\/(-3430) - (9 + 9\/((-72)\/176))\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 16*o + 40*o)*(-3 + o + 3 - 3*o + 3*o + 2*o + (4*o - 6*o + 0*o)*(0 - 3 + 4) + o - 2*o + 2*o).\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Let i be (-10)\/(-20)*w\/1. Which is the third smallest value? (a) 1\/4 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 33*d\/7 + 148\/7.\nAnswer: -(d - 4)*(d + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21787\/7 - (-348)\/609. What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -19 - 13. Let q(m) = 8*m**2 + 4*m. Let w be q(r). What is the lowest common multiple of 18 and ((-140)\/w)\/((-1)\/8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d**2 - d**2 + 3*d**2)*(-1 - 1 + 6) + 1 - 1 + d**2)*(-72 + 72 + 20*d).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.108 + -130.892. Let v = -47 - z. Let f = 84.0102 - v. What is f rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 134*w + 355 = 225*w. Let j(r) = 3*r**3 - r**2 - 4*r + 4. Determine j(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -472.000203 + 472. What is f rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5500))\/((sqrt(77)*-3 - sqrt(77))\/sqrt(7)).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - 104213032?\nAnswer: -104213124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/5)\/(182\/1930565) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 - 8.54317\nAnswer: -10.24317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1026644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228 + 3668. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -52. Let c = -39.9 + w. Let g(n) = 6*n + 12. Let j be g(5). Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**3\/3 - 17*d**2\/2 + 29. Let x be u(5). What is the highest common factor of 195 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.789599026 rounded to 2 dps?\nAnswer: -7.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -7)\/((-6)\/(-3)). Suppose -5*v - d = -s - 2*v, -4 = -2*s - 3*v. Suppose s*b - 28 = u, -4*b + 21 = -3*b - 4*u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 98*m.\nAnswer: -2*m*(m + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - t - 61018, 11 = t + 3. What are the prime factors of n?\nAnswer: 2, 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - 690\/(-24). Let v(o) = o**3 - 8*o**2 + 6*o + 12. Let b be v(6). Let s = g + b. Solve -4*a + 3*a = -5*n - 4, 3*a - 2 = s*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403.6 * -4\nAnswer: -5614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*j = -54, -45*u = -48*u - 2*j - 16. Let q(n) = n**2 + 8*n - 14. Calculate q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 7)*(-10)\/(-8). Let l be 1\/v - 1\/(-2). Let k = 308\/5 + -62. What is the second smallest value in k, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -0.3 (c) -4 (d) -0.0703 (e) 56 (f) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(132)*2 - -5*sqrt(132)*4)\/(-4*-1*sqrt(1728)*3))**2.\nAnswer: 275\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348 + 353. Let p(a) = 2*a**2 - a - 1. Let y be p(-1). Suppose y*u + 15 = o. Let b(i) = i**2 + 7*i + 1. Give b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*w - 2*w**2 + 175*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 4\/(-2)) + -2 + -8. Let v(b) = b + 15. Let n be v(j). Let m be (5 - 0)*(n - 1). Solve -h + 2 = -5*s - 3, -3*h - m*s - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 1798 = -442. What is the remainder when y is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138090326 is divided by 3258?\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1555 + -1539. Solve i = -12*g - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091805774 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110201 + 11002202?\nAnswer: 11120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**2 - 18*r**5 + 14*r**5 + 21*r**2 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f0aa + -b1?\nAnswer: -1f15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.10369 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*-5\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**2 + n + 1. Calculate the least common multiple of 252 and g(1).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*y + 40 = 0, -327934806*y = 3*v - 327934855*y + 885 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55 + 0.05. Let q = 0.2 + -0.2. Which is the biggest value? (a) -2\/7 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*t**5 - 12*t**5 + 34*t**5 + (-2*t**2 - 6*t + 6*t)*(-3*t**3 + 3*t**3 + 2*t**3)*(2 - 6 + 1).\nAnswer: 115*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -12)\/((-4)\/(8\/4)). Let g be 96\/180*(-4)\/f. Factor -2\/15*k**2 - g + 8\/15*k.\nAnswer: -2*(k - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -572297.398917 + 572297. Let q = d + 0.399. Round q to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/14, -6, -3 in ascending order.\nAnswer: -6, -3, -9\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1692 and 475920.\nAnswer: 22368240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 6*f**2 + f - f.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 10:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9699170 rounded to the nearest 100000?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from {y: 14, f: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9712 by 1214.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 12. Let m = -16.99999972 + w. What is m rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*x + 5 = -0*j, 1554*j - 1553*j - 8*x + 35 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (5 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32202 - 12?\nAnswer: -32214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/(12\/(-9)). Let h = 2.09 + 2.91. Let i = 0.1 + 0. Which is the nearest to i? (a) s (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1178)\/806*1\/3 - 2\/(-6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306036299.\nAnswer: 211, 691, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 22*h + 122. Let a be b(-13). Suppose v - 3*v = 3*l + a, 3 = -l - v. Suppose 0 = -2*m + 6*m. Sort l, m, 2 in descending order.\nAnswer: 2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 76545200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 3*v - 2. Let o be k(2). Let t be (-10)\/24 + 4\/o. Let j = -215 - -213. What is the closest to j in t, -1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -0.1 (c) -0.0477 (d) -4 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - 25*a**2 + 38*a + 312 = 0 for a.\nAnswer: -26, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2 - 134*q + 267. Let t = 3413\/4 + -85257\/100. What is the common denominator of t and p(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 9 (b) 0.05 (c) -4 (d) -23 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 34. Calculate g(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**8\/1008 - 2*k**7\/315 + k**6\/360 + k**5\/30 + 29*k**2\/2 - 41*k + 3. Let a(i) be the first derivative of y(i). Factor a(x).\nAnswer: x**2*(x - 3)*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80\/117 + -6\/13. Let 2\/9*q**5 + 0*q + n*q**4 - 2\/9*q**3 + 0 - 2\/9*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9378 + -1.9378. Let a = 0 + -0.4. What is the nearest to y in 4, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9774*g - 11051*g - 127700 = 0 for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15224 divided by 346\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.868468 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33.2*-0.1\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c = 5*d - 55, -2*c + 19 = 5*d. Calculate the remainder when 368 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f. Let r(q) = 9852400*q. Determine m(r(o)).\nAnswer: 295572000*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.041 and -0.1.\nAnswer: 0.1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 4*f**2 + 2*f - 3. Let t(c) = -10*c**3 + 7*c**2 + 3*c - 5. Suppose 14*j = 35 + 35. Give j*a(m) - 3*t(m).\nAnswer: 5*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038572775 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or -4\/329?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*h**6 + 81*h**4 + 4*h**3 - 75866*h**2.\nAnswer: 4680*h**3 + 1944*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*u + 7 = 0, -31835 + 31822 = z - 2*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/2560*-24*6\/(-9)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.55 + -42. What is n rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3005, -2758, -2355, -1802, -1105, -270?\n\"Answer: -x**3 + 84*x**2 + 2*x - 3090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/80 + 13*i**5\/80 + i**4\/4 - 4*i**3\/3 - 10*i. Let g(p) be the second derivative of u(p). Factor g(h).\nAnswer: 3*(h + 4)*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/7 + 28887*y**2\/7 + 29808288*y + 625714092\/7 = 0?\nAnswer: -14442, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/42 and 15\/116.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 159*h\/2.\nAnswer: -h*(h + 159)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:27 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v. Let t(b) = b + 15. What is t(i(k))?\nAnswer: -5*k + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 4 (c) 3\/152 (d) -37 (e) -2\/39 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 21. Let z be y(23). Let g be (2 - (1 + z))*2. Let w(h) = -3*h**2 - h + 1. Let i(a) = -7*a**2 - 3*a + 2. Calculate g*i(j) + 5*w(j).\nAnswer: -j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**2 - 33*b**5 + 30*b**5 + 2*b**4 - 4*b**4 wrt b.\nAnswer: -180*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1 - 8) + (-18 - -4 - -47)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1380 bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-130.464\nAnswer: 39.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 13 = 5. Let n be i\/(-1) + (-2)\/2. Let v(k) = 3*k - 3. Determine v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113681 is divided by 958.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -281741 (base 12) in base 2?\nAnswer: -10100010101011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 8 + 6)*(-2*o + 2 - 2 - 1 + 2*o + 1 + (0 - 2 + 0)*(-6*o + 0*o + 4*o) + 3*o - 4*o + 3*o - 2*o + 5*o - 2*o - 3 - o + 3 - 65*o - 887 + 887).\nAnswer: -118*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 331*d + 137 + 306 + 219 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - s - 56, -3*r + 3*s + 73 = r. Suppose 2*o - r = -3*i, 34*i - 5*o = 35*i - 28. Which is the nearest to 2? (a) i (b) 3\/4 (c) -2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 = 3*a, 3*a - b - 4 = -0. Calculate the lowest common multiple of (17 - (-3 - a))*16\/6 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 6, u: 1, k: 1, x: 1, b: 1}. Give prob of sequence uxl.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-264)\/(2 + 7\/(-2)). Suppose 0 = -3*x + 12 + 3. Suppose -58 = -x*a + 22. Calculate the highest common factor of a and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2471 - 4550. Let a = -543 - f. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1539) + -1)*5 + (-2 + sqrt(1539))*4)*1)**2.\nAnswer: -1944*sqrt(19) + 124803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:49 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 109*i + 103*i.\nAnswer: -6*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 153.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44897109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14250201 + 2304?\nAnswer: 14252505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - -0.4. Let u = -85.19 + 89.19. What is the biggest value in u, -3\/4, d, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + (-7)\/(-4). Let o(q) = q**3 - 3*q**2 + 3*q - 6. Let p be o(3). Differentiate j*w + 6*w + p + 3 - w wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3 + 4*t + 2*t**2 - 7 - 2*t. Let h(w) = 11*w - 13*w - 13 + 2 - 18. Let s be h(-13). What is r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 526 and -5?\nAnswer: -2630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 + 4 = 0. Let i be ((-6)\/(-2))\/(0 - -12). Which is the smallest value? (a) n (b) i (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2079, -2088, -2099, -2112, -2127?\nAnswer: -2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, b: 5, s: 1}. What is prob of sequence sb?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 723*r - 28*r**2 + 723*r - 1446*r. Let w(c) = -2*c**2. Determine t(w(n)).\nAnswer: -112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -0.3 (c) -22 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -92.1. Let f = 78.9 + p. Let l = f + -75.0000204. What is l rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Suppose 2*m - 9*w + 6*w - 13 = 0, 4*m - 2 = -2*w. Suppose m*s = 21*s - 57. Solve 4*u - 2 - b = 3*h, 2*u + s = -3*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62152 and 18.\nAnswer: 559368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -2*sqrt(77)*3 - 2*sqrt(77)*-4)\/(6*sqrt(175)*3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -2. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*272.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let z(y) be the second derivative of 0*y**2 + 0*y**3 + 50*y + 0 - 25\/12*y**4. What is s(z(f))?\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.56 + 51.56. Which is the third biggest value? (a) 5 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 48*a + 25. What is l(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 3*p**2 - 18. Calculate l(-4).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 91 - 92 - 78*d - 122*d.\nAnswer: -200*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/120*3\/(-5) + (-176)\/10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - k - 6 + 3 = 0, -x + 5*k + 21 = 0. What is the third smallest value in -1.5, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 3*q**5\/20 - 7*q**4\/24 + 13*q**3\/6 - 931*q**2. Let s(i) = 4*i**2 - 3*i + 6. Determine 2*r(c) - 5*s(c).\nAnswer: -2*c**2 + c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let v(c) = c**2 + 4*c + 1. What is 3*d(j) - v(j)?\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1 + (169 - -3). Suppose -3*x + a = -0*x. Suppose x = 4*c - 4*z - z, 0 = -5*c + 2*z + 64. Solve 8*m = 5*m - c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + j - 315*j**4 + 4*j - 2*j**3 + 2*j**2 + 314*j**4 - 2*j - 17 to the form x + p*j**3 + f*j**4 + k*j + l*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2017668 or 6?\nAnswer: -2017668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + 2*-4*(sqrt(637) + 0 + sqrt(13) + -4) + -4 + 1)*-1)**2.\nAnswer: -3072*sqrt(13) + 53820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b. Let q(t) = -44*t**2 + 33*t. What is -33*p(h) + q(h)?\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/8*5\/(15\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-10))\/((-56)\/2800*10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + 100\/(-12))*(-6)\/4. Solve 0 = 4*w - 16, 0 = -3*j - 2*w - n*w + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6689 - -18583. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/6*(-26)\/4. Suppose -3*g - 10 + 5 = -2*n, 0 = 5*n + g + f. What is the remainder when (6 + -48)*n\/4 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -164, -320, -496, -668, -812, -904?\n\"Answer: 4*v**3 - 46*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 31*l - 17*l - 12*l. Let i(s) = -18*s + 4. Determine i(k(v)).\nAnswer: -36*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*(-132)\/(-11). Suppose -2*q + 536 = 3*c, -r*c + 2*c + 178 = q. What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -4\/3*i**3 - 38*i - 3\/2*i**2 + 18. What is the first derivative of m(z) wrt z?\nAnswer: -8*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355 equal to 6349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 107 = 89. Let v(s) = -7*s + 4. Let w be v(-4). Suppose o*m + w = -m. Let p(k) = 2*k - 4. Give p(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 + 42. Let w = 166 + x. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718156 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/161)\/((105\/15)\/7).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-296)\/(-12). Suppose -33 = -f - c. Let w(r) = -10 + r + f - 7*r. Determine w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/(((-6)\/8)\/((-630)\/672))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/19 - 8\/171. Let j(p) be the first derivative of 0*p - 3 + 0*p**2 - r*p**3 + 1\/12*p**4. Factor j(y).\nAnswer: y**2*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/(5\/(5\/4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374164 divided by -196.\nAnswer: -1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o + 2, q - 4*o = -115. Let s = 831\/7 + q. Which is the second biggest value? (a) -6 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n. Let w be a(-5). Let q be (-2)\/10 + (-18500001)\/w. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 4*d)*(-1 + 5 - 5) + d + 2*d - 4*d + 0*d + 0*d + d + 0*d - 4*d + 3*d + 0*d + 0*d - d + 0*d + 3*d - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355 or -3.016?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 29 = 2*b. Let q be 6\/(-4)*12\/b. Let k be -3 + (1 - -4) - q. Solve 0 = -4*v - k - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -14.2. Let k = 1.7 + -2.7. Let f = -5 - k. Sort t, 3, f in descending order.\nAnswer: 3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66298909 and 0.9.\nAnswer: -66298908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 648. Let n be r(167). Solve 3*b + n = -4*i, -4*b - 456 = i - 438 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*d - 4*r, -5*r - 30 = -5*d + 15. Suppose -s - 56 + 5 = 3*o, 0 = -d*o + s - 85. Is (-12)\/(-6) - (o - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301 - 311. Suppose -4*b - 8 - 32 = 0. Let a = x - b. Solve 3*m = -a*s + 2*s - 23, -5*m - 13 = 3*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v - 5. Let x(j) = -j - 1. Suppose 3*c = -5*a - 45, -13*a + 9*a + 2*c - 14 = 0. Give a*n(p) + 30*x(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*j = -w - 12, 4*w = j + 4. Suppose 0 = -3*m + 4*v + 34, -2*v + 0*v = -w*m + 20. Solve m*a = 2*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) + -5*sqrt(143)))\/((1*sqrt(44))\/sqrt(4)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 11*b - 12*b - 20. Let j be r(11). Solve -o + 12 = -3*l - l, 0 = -j*l - 4*o - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 9. Let c(r) = r**3 - 2*r**2. Let x be c(2). Let d(f) = f**2 + 4. What is the remainder when h(0) is divided by d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -1\/90 (c) 2\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s**4\/3 + 105712*s**3\/3 - 5262830*s**2\/3 - 15883276*s\/3 + 855920 = 0 for s.\nAnswer: -4115, -3, 2\/13, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-231) + 18\/(-22). Let r be (2 - h) + (-1 - 0). Let i(a) be the first derivative of -2*a**3\/3 + 2*a**2 - 3*a + 1. What is i(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let h be j(0). Let g be (-2 - -1)*5 - h. Let v(i) = -i**3 - 6*i**2 - 3*i + 2. Give v(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11127208777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/13 (c) 22 (d) -0.09 (e) 41 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than -3070049?\nAnswer: -3070036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90665023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008452 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 11. Let g(k) = 4*k - 7. Give -5*g(z) - 4*h(z).\nAnswer: -4*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -17510?\nAnswer: -17509.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -92756.6627 to the nearest one thousand.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*(4 - 2 - 3)*(-6*n + 0*n + 0*n).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -895.85 to the nearest 10.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 - 143*s**2\/3 - 1112*s\/3.\nAnswer: -s*(s + 8)*(s + 278)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from hwxwywwxwx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 17\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 + 5 = 0. What is the smallest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2282, 8, -172, -3, 2 in decreasing order.\nAnswer: 2282, 8, 2, -3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-8)\/12. Let v be 2 - (h - -2) - -5. Put v, 2\/5, -1 in descending order.\nAnswer: v, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/627064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 4*z - 34 = 0, -7061*z + 75 = -o - 7067*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 3\/4 (c) -138 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92.1 + -92. Let k = 0.2 + -3.2. Let y = k - -3.1. Which is the closest to j? (a) 2 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 37952*l + 250*l**3 - 37960*l + 2*l**2 + 20 to x + m*l**3 + t*l + c*l**2 and give m.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12857 by -982.\nAnswer: -12857\/982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 = 3*f, m - 5*f - 29 = 3*m. Sort -4, 4, m.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 55 = 5*r, r - 4*x = 10 + 25. Let a(h) = 12*h + r + h**2 - 8 - 5*h. Determine a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(16\/1504). Calculate the greatest common divisor of 94 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y, -2*w + 5*y - 23 = -0*y. Solve -w + 0 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11407?\nAnswer: 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 2*n**2 - n + 4. Determine f(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Suppose 5*p - 22 = -f. Solve b - 5*c + p = -4*c, 4*b + 1 = -c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 83, 191, 307, 425, 539, 643, 731, 797?\n\"Answer: -l**3 + 10*l**2 + 85*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 46*d = -50. Solve -d*f - 10 = -6*h + 4*h, 3*h + 27 = -3*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 50. Let s(u) = 17. Suppose -106*n = 46*n - 46*n + 212. Calculate n*j(z) - 7*s(z).\nAnswer: -2*z - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19325*s - 377 = 19354*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 4*b - 6. Let q(s) = 8*s**2 - 17 - 5*s**2 - 11*s + 5*s**2. Let f(t) = 7*t - 11. Let h be f(1). What is h*q(w) + 11*m(w)?\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**2 + 5\/6*u**3 + 0 + u. Let r(p) = -p + 3. Let w be r(7). Let l(a) = -a - 1. Determine w*n(s) - 22*l(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1390449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1843 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37816 = 30*d - 39179 + 10695. Does 81 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*17\/51?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -554815 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 30. Let h = 13.4 - o. Let p = h + 0.8. Which is the second smallest value? (a) p (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v, -2*q + 7*q - 24 = 3*v - 3. Suppose 3210 = -y + 6*y. Calculate the greatest common divisor of q and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -564 - 116557?\nAnswer: -117232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*c - 767 = -11837 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42709, 83890, 125065, 166234?\nAnswer: 207397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*d + 1 + 9, 4*d - 20 = 2*a. Suppose 0 = 5*g + 3*n - n + 1177, -d*g - n - 707 = 0. Is g\/(-6)*(0 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -161710?\nAnswer: -161712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 5 - 541*o.\nAnswer: -541*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45965820 and -29?\nAnswer: 45965849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25229251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + 4 + 1 + 5. Let k(d) be the third derivative of 0 + d**3 - 1\/2*d**4 + 2*d**2 + i*d. What is the first derivative of k(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 3*t**5 + 54*t**4 + 2*t + 46*t**4 - 101*t**4 + (0 + 3 - 2)*(-12*t**5 + 5*t**5 - 6*t**5).\nAnswer: -10*t**5 - t**4 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4459ab (base 14) to base 11.\nAnswer: -1345552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l*l*l**(-7\/4)*l)**(3\/16))**11 assuming l is positive.\nAnswer: l**(891\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 108*o**2 + 486*o**2 - 231*o**2.\nAnswer: 147*o**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14164038.\nAnswer: 2, 3, 7, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 33*l**2 - 86*l + 151. What is the remainder when 79 is divided by x(-30)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1016.9 - -1016.4. What is the third biggest value in w, 0.5, 5\/228?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 5*o + 2. Let c be g(-2). Let r be c*3*(-1)\/(-4). Let t(u) = -4*u + 3. Is 15 a factor of t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104495611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-11)\/110)\/((-54)\/10). What is the third smallest value in g, -1.1, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 10797109 take away 180.364?\nAnswer: 10796928.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 25*u - 38. Let c be p(3). Let x = 1937\/38 + -51. Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -16. Let v = -5 - h. Let t = 1 - v. Which is the second biggest value? (a) t (b) 1\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1992\/(-32) + 1\/4. Let i be (-2)\/(-7) - o\/(-168). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -m + i, -5*m + 28*i + 39 + 0 = 24*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*r + 4. Solve r*i = 2*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:28 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32555435 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - (2 + -2). What is v in v - 5 + 8 + 1 - 7*v + h*v**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258800 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31457625 (base 9) to base 15.\nAnswer: -14e555b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1660*o + 30606. Give f(21).\nAnswer: -4254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -6 - (-6 + 2 + -1). Suppose 0 = -2*b - 4*t + 16, 3*t - 3 = -b + s. Solve 4*w = l - b, 3*w - 4*l + 16 + 0 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104255 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(((-6)\/(-3))\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*d**2*h**2*x**3 + 77*d**2*h*x + 380*d*h**2*x**3 + 6*d*x**3 + h*x**3 wrt h?\nAnswer: -48*d**2*x**3 + 760*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + z**2 + 1)*(-z - 2*z + z) - z**3 - 4 + 4)*(-2 + 2 + 2*z**2).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 139*q - 109*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45173?\nAnswer: 199, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.13 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*u - 31, 85*y + 2*u = 88*y - 61. Calculate the remainder when 3790 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 6 + 10*v - 22*v + 11*v. Suppose 4 = -4*w + 2*k, 7 = -0*w + 3*w + k. Let x(z) = -z - 6. Give w*x(l) - 5*q(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {c: 2, d: 8, w: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 121027410 to the nearest 100000.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (448\/(-70) + 14)\/(((-4)\/(-10))\/1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/9))**7\/(g\/g**(-6)*g*g**(10\/11)*g*g) assuming g is positive.\nAnswer: g**(-541\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1278\/1065)\/((-9)\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/5*((-30)\/120 - 19\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 2. Suppose 5*w + 4*f - 56 = -0*f, 4*w + 4*f = 44. Let p be (w\/(-16))\/((-1)\/(-4)). Let g be o(p). Is g < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + -248. Is -31 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -105*f**4 + 5305*f**3 - 46595*f**2 - 23145*f - 2340 = 0.\nAnswer: -1\/3, -1\/7, 12, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g - 2*g - g. Let v(j) be the second derivative of -j**4\/4 + 3*j. Calculate f(v(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48384\/2940)\/96)\/(4\/(-10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 - 36*o - 2. Let s(j) = -150*j**2 - 918*j - 51. Let c(g) = 153*q(g) - 6*s(g). Let h(b) = -15*b**2. Determine c(h(m)).\nAnswer: -4050*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(133\/(-21))\/(-19))\/(2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s + 2. Let r(z) = 9*z + 4. Determine -11*j(v) + 6*r(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/(-24)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-64))\/(7677\/5118)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430359\/16 greater than 214397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m + m - 3, 3*k - 6 = -7*m - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 3740?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 11*v + 14. Let l = -58 + 46. Let g be z(l). Solve -u + 1 = -2*i, -g*u + 2*i = -6*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -781\/3474 - -1\/386. Which is the closest to 0? (a) -1 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*c*h + 3*a*c - 18*a*h**2 - 28*a - 3*c*h**2 + 64*c - 1 wrt h.\nAnswer: 3*a*c - 36*a*h - 6*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 2160535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n - 18. Let j be (8\/10)\/(n\/30). Suppose f = j*f - 9. Solve -2*q = f*d - 22, -5*d - 5*q = -2*q - 35 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2608 - -3073. List the prime factors of r.\nAnswer: 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532 a factor of 656825160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12)*1768\/(-102))\/(2\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by 3.\nAnswer: -157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*(0 + -33). Let a(h) = -3 + 2 - 1 - 2*h. Let u be a(-3). Solve 0*f + f + z = 4*k, u*k = 2*f + 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d - 16*d + 5*d**2 + 48*d - 3 - 14*d. Let j be r(2). Solve 0 = -2*l + f + 4, 9 - j = -4*l + 5*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -3. Calculate the greatest common divisor of i and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -0.09. Let w be 4\/(-3) + (-2)\/(-6). Let l = w + 1. Is l greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10606.7 rounded to the nearest one hundred?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 7:34 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(208)*-3 - sqrt(208)) + sqrt(208))**2.\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -59*f**2 + 278*f - 5. Let t(z) = -2*z**2. What is w(t(g))?\nAnswer: -236*g**4 - 556*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, k: 2, p: 1, r: 1, j: 1, e: 3}. What is prob of picking 1 t and 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 - 17256*h**2 + 18296100*h + 681210000 = 0. Calculate h.\nAnswer: -36, 2175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-2 - -4) - 1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 18 - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus -16.098778?\nAnswer: -16.108778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 319544471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -c02?\nAnswer: -c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 - 14*m - 2 to the form l + z*m and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*r**4 + 23839*r**2 + 127*r - 4654?\nAnswer: 240*r**2 + 47678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*p - 26, 137*p - 139*p - 5*x = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + a + 5*a**2 + (0*a + a + 0*a)*(-7*a - 2*a + a) to the form u + n*a + t*a**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -412947\nAnswer: 412947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -20*o - 200. Let j be f(-10). Is j >= -0.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.4 - -11. Let v = d - 0.7. Let j = -0.3 + -0.2. What is the nearest to v in j, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + h = -0*a + 1, 0 = -3*a + 5*h - 13. Is 148871\/164 - 3\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -231*m + 241*m. What is the second smallest value in -55, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*h**4 - 58*h**4 - 61*h**4 + (-1 + 1 + 1)*(3*h**4 + 2*h**4 - 7*h**4) + (3*h**3 + 4*h**3 - 5*h**3)*(h + 2*h - 4*h) - 2*h**4 + h**4 - h**4.\nAnswer: -47*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*n - 10 = 51*n. Suppose 0 = 2*q - n - 17. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714 and 4998?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 - 3*b**3)*(6*b - 2*b - 3*b)*(-13 + 31 + 14).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4458018 times 0.4\nAnswer: -1783207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/30 - w**4\/8 - w**3 - w**2. Is s(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 112*t**3 + 528*t**2 + 3584*t + 4096.\nAnswer: 4*(t - 16)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*f + 161*f = 312*f - 10238 + 46121 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -33. Let l be -3*(-3 - 4\/b). Suppose 2*a - 7*a - t = -1049, 0 = -l*a - 4*t + 1061. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 9. Let v(c) = 9. Let l(j) = j**2 - 4. Let a(w) = 9*l(w) + 4*v(w). What is a(x(m))?\nAnswer: 36*m**2 - 324*m + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14350 and -53\/451?\nAnswer: 157850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:06 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -111001100011100000001101?\nAnswer: -111001100011100000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/16 - ((-15)\/10 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 484 = -3*y - 446, -y = -2*p + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.1 - 11.3. Let p = -1.3 - l. Which is the nearest to p? (a) -7\/4 (b) -3\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/7)\/(t*t*t**(3\/17)*t*t)*(t**(14\/5)\/t)**34 assuming t is positive.\nAnswer: t**(33419\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (561\/77 - 8)\/((-5)\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 36. Let o(i) = -i + 18. Let c(j) = -2*m(j) + 5*o(j). Let n be c(8). Solve 0*y + n = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5709, 22851, 51417, 91407, 142821, 205659?\nAnswer: 279921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -7633822.\nAnswer: -5\/3816911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjttjttjt. Give prob of picking 3 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 9*c**2 + 5*c - 57. Let t be g(5). Let q = t + 109. Calculate the smallest common multiple of q and 38.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/946 and -53\/4636518.\nAnswer: 51001698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*j - 17. Suppose 0 = i - 3*g + g + 28, i - 5*g + 43 = 0. Let k = 35\/2 + i. Which is the third biggest value? (a) -3 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*g + 183*g - 54 = 0. Let c(r) be the first derivative of g - 1\/3*r**3 - 2*r - 4*r**2. Calculate c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 138. Suppose -3*n = -3*i - 294, -d*n + 9*n = -5*i + 540. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99) + 2 + -1*sqrt(99)*-5 + (sqrt(99) + (sqrt(99) - 1*sqrt(99)*-2) - (1 + -2 + sqrt(99))))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3715500, -7431000, -11146496, -14861988, -18577476, -22292960?\n\"Answer: 2*r**2 - 3715506*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/3)\/(3\/11). Suppose 6 = -t + h. Solve t*k - 4 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r. Let c(y) = -5*y. Suppose -11*j + 22*j + 77 = 0. Determine j*c(w) - 3*k(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/9, -1, 1.4, 3\/7, 0?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -24*s**4\/7 - 2214*s**3\/7 - 2736*s**2\/7 - 78*s = 0?\nAnswer: -91, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 4*y**2 + 10*y - 10. Let j be i(-6). Suppose -j*r + 5*r - 18 = 0. Suppose 5*q - 26 + r = 0. What is the least common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000157741 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 29 + 108 = 5*i, -4*k + 2*i - 198 = 0. Does 13 divide (-4)\/((-8)\/(-26))*k\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*a**3 + 63*a**3 - 669*a**3 + 46*a - 717*a**3 - 41*a.\nAnswer: -1593*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11174 and 37.\nAnswer: 11174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 13. Let u = 10 + h. Suppose u*n = -12, 0 = -5*a + 3*n - 0*n + 32. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1821 and 998711061?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 9*j**2 + 96*j + 9. Is z(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-36)*w)\/(w**14\/w))\/(((w**(-23)*w)\/w)\/(w*w**(-48)*w)) assuming w is positive.\nAnswer: w**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b - 15*b + 27*b + 60)*(-3*b**2 + 2*b**2 + 2*b**2).\nAnswer: b**3 + 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519601 (base 12) to base 4.\nAnswer: 10320310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.02 (b) -0.15 (c) -192 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184\/9 - 20. Factor w - 2\/9*i - 2\/9*i**2.\nAnswer: -2*(i - 1)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4)**43)**38 assuming y is positive.\nAnswer: y**6536","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34353 + 10329 = -22*i. Calculate the remainder when i is divided by 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 537 - 540. Let l = 5 - 3. Let y = l - a. Put y, -2\/9, -4 in ascending order.\nAnswer: -4, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/183 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 16. Let n be i(-6). Suppose -3*z + 21 = -5*d - 1, n*z + 3*d = 10. Find the first derivative of 2362*y - 2362*y + 27 + 32*y**z wrt y.\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 490309.\nAnswer: -27\/490309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3582 or 3170?\nAnswer: 3170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8827 is divided by 135?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let c(o) be the second derivative of -o**5\/12 - 11*o**2\/2 + 8*o. Let n(v) be the first derivative of c(v). Calculate n(k(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1545, 1144, 659, 90?\n\"Answer: -42*j**2 - 275*j + 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - -1)*(-1 + -46) is divided by (-1 - (2 - 4)) + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8640306 is divided by 304.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/24 and 47\/77544?\nAnswer: 77544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384.0415 rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*l**3*p**3 + l**3*p**2 + l**3 + 11*l**2*p**2 + l*p**6 wrt p?\nAnswer: -462*l**3 + 120*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z - 2*p, -p = -4*z + 18. Let s be (12\/(-8))\/(15\/20). Let i be 0\/s + 3 - 10\/(-2). Calculate the highest common factor of z and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012959713 to six dps.\nAnswer: -0.001296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 5*k - 5. Let w(x) = -2*x**2 + 8*x - 8. Let o = 40 + -45. Let z(s) = o*w(s) + 8*n(s). Let l(a) = -3 + 3 + 3*a. Calculate z(l(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32057375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 14*y**3\/11 - 360*y**2\/11 - 482*y\/11 - 108\/11 = 0.\nAnswer: -1, -2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13107 (base 8) to base 9.\nAnswer: 7736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -1157\/7. Let c be (-1)\/(-3) - 1\/1. What is the nearest to c in 2, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191311, 382625, 573939?\nAnswer: 765253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*252\/(-6426))\/((-5)\/17).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.099571 months?\nAnswer: 0.42496425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*c - 79, 2*c + 3*m - 184 = -3*c. Suppose 183 = 5*w - 3*y, -2*w - y - c + 117 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65664 by 3456.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 567617476 to the power of 1\/2, to the nearest integer?\nAnswer: 23825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179\/5 + 3068\/85. Let w = y + 16\/119. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 11 + (2 + 1 - (52 - -3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from majamiaamiwmwcwwwaam. Give prob of sequence iw.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8635\/(-2750)*(-53953)\/2. Let t = 84705 - r. What is the common denominator of t and -37\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-35)\/(-455)*(9\/2)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6 - -4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let g(p) = -2101537*p. Calculate i(g(b)).\nAnswer: 2101537*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12112211 (base 3) to base 13\nAnswer: -1ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-7 - -1 - (-7 - 2)) + -14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 25. Let g(p) = -p - 12. Let l(r) = -9*g(r) - 4*m(r). Let q be l(-7). Let u = 10 + q. What is the remainder when 21 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 685*z - 4083 = 270*z + 16113 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 - 3*g - 34. Let k be m(-10). Let f(w) = -73*w + 61. List the prime factors of f(k).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 4*s + 136.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 - -0.02. Let h = 0.6 + f. Which is the nearest to h? (a) 0.5 (b) -1\/4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d + 2530*d**3 + 5*d - 2531*d**3.\nAnswer: -d**3 + 46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -85*l - 177. What is the units digit of q(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.044 (b) -22 (c) 4\/7 (d) 6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 10) to base 2.\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -36, 30, 1 in descending order.\nAnswer: 30, 1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1670982*c**2. Let h(v) = -8*v. Determine h(k(g)).\nAnswer: -13367856*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 85\/4. Is w greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3 - 94\/(-31)). Let a(x) = -31*x + j*x + 2*x**2. Let s(d) = 7*d**2 - 9*d**2 + 0*d**2 + 5*d**2. Calculate a(s(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/21 - (-2)\/7. Let h(i) = -i - 3*i**2 + 0 + i**2 + 2*i - 1. Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 10*u**2 + 24 - 88 + 3*u**2 - 167 to h*u**2 + r + g*u and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 379.396\nAnswer: -151.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 173*h**2 + 2. Let u(g) = 48769*g. Determine u(v(k)).\nAnswer: 8437037*k**2 + 97538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20452*m*o**3 + 4*m*o**2*u**2 - 182*m*o*u**2 + 11*o**3*u**2 - o**3*u + 128*o**2*u**2 + 2*o**2*u wrt o?\nAnswer: 122712*m + 66*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 (base 9) in base 16?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(8*b - 8*b + 24*b**2 - 2*b + 2*b**2 + 2*b + (b**2 - b**2 - 2*b**2)*(2 + 1 - 1))*(214*b**2 - 212*b + 212*b).\nAnswer: 4708*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34776461 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65775635 and 55.\nAnswer: 723531985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(-36)\/(-30)*(-5)\/(-2). What is the common denominator of -23\/2 and ((-45)\/(-12))\/((-14)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1121710\/193 - 5812. Let m = -499\/9843 - u. Let k = 63 - 62. Do k and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8) + 45\/(-42) + 1536\/336?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48866\/5 not equal to -9773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/10 (c) -2\/11 (d) -2\/3 (e) -8485 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 124, 198, 272?\n\"Answer: 74*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 11*m**3 + 32*m**3)*(7*m**2 - 7*m**2 + 3*m**2).\nAnswer: 60*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909729765 to the nearest integer?\nAnswer: 30162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/12 + w**3\/3 - 3*w**2\/2 - 2*w. Suppose 5*q - 2*q = 6. What is g(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 11:56 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + o + o)*(1 + 1 - 3) + 3*o + 3*o - 4*o + (35*o - 50*o - 69*o)*(0 + 3 + 1) to u*o + s and give u.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 = -0*r + r - j, 5431 = 5*r - 2*j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-19*k + 17*k + 14*k)*(-1 - 2 - 1) + k + k + 0*k)*(3*k - k - k) in the form p + q*k**2 + x*k and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 1. Suppose -3*v - 8 = -v + 3*b, -5*b + 16 = -4*v. Let l be g(v). Let d = l + 11. Solve 0 = -5*c - 4*j - 41, 0 = -5*c + j + d*j - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**17\/i**(-3))\/(i**(-15\/7)\/i**30))**(-11) assuming i is positive.\nAnswer: i**(-4015\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 + (-26)\/(-10). Let k be 6\/4*(-6)\/y. Let r = 1 - k. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -139468, -140039, -140610, -141181, -141752, -142323?\n\"Answer: -571*g - 138897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4 + 4 + 5*b**2. Suppose 4*o + 4*k = -12, -o - 13 = -0*k + 3*k. Let j(v) = -12*v**o + 4*v**2 + 10*v**2. Calculate i(j(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 6. Let k be f(7). Suppose 23*j - k*j = 223. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.1 minus 7889?\nAnswer: -8021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*y - 145 = 0, -4*i - 2*y - 116 - 178 = 0. Let x = -72 - i. Is (-123)\/(x - (9\/(-3) - -6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:44 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Let v(z) = -4 + 0*z - 12*z**2 + z + a. Let h be 22\/26 - 5\/((-845)\/26). Give v(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) -2 (c) 4 (d) 0.083 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 6 = 9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/i**8)**(3\/8) assuming i is positive.\nAnswer: i**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/4 - (-3)\/12. Let z(t) = -4*t. What is the least common multiple of z(-1) and (x - -19) + 0 + 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -12904.\nAnswer: -116136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19039, 18989, 18925, 18841, 18731, 18589?\n\"Answer: -o**3 - o**2 - 40*o + 19081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-11)*67352956\/35464. Factor -n + 266\/13*j**2 - 670*j - 2\/13*j**3.\nAnswer: -2*(j - 67)**2*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2132 (base 6) to base 10\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121612279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7*2\/4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s, 2 + 6 = -4*z + 4*s. Is ((-2)\/(-4))\/(z\/74) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2268a + 4?\nAnswer: 22693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10 - 1 + 0 - l + 3*l. Let n(c) = -2*c + 11. Let f(i) = 5*a(i) + 6*n(i). Let m be f(8). Which is bigger: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*s = -s + 39, -45 = 5*o - 5*s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -5*p. Let j be 1 + (2\/(-1) - p). Let q(s) = -12700*s**3 + s + 1. Let r be q(j). Round r to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -172.\nAnswer: -172, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -23 + -20 + 14.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y**4 - 41748*y**3 + 11374*y**2 + 41748*y - 11385 = 0. What is y?\nAnswer: -1, 3\/11, 1, 3795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3793 + -3792.9995983. What is z rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**4 + 0*v**2 - 2*v + 4*v**2 + 3*v as n + a*v**4 + i*v**3 + d*v**2 + j*v and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2635 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -98, -30, 284, 970?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14805 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8124549876 rounded to 4 decimal places?\nAnswer: -0.8125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 29 = 5*k - 3*h, 3*k - 69 = 18*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159*j**2*q + 6*j**2 + 2*j*q - j + 15*q - 14572 wrt q?\nAnswer: 159*j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1695 + 30?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -612*c - 1405 - 21239 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6061 - 2977. Suppose -8*p + o = -4444. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-380*t + 778*t - 14 - 392*t)*(t - t + t) - 4*t**2 + 12*t**2 + 3*t**2.\nAnswer: -7*t**2 + 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -48*c - 59. Calculate the remainder when h(-6) is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + (-105)\/(-12). Suppose 19*z = 16*z - f. Put z, -5, 1 in ascending order.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172.4232 + 168.623173. Let f = -12.2 - -16. Let b = f + l. What is b rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-9 + 7) + (0 - -1). Suppose -j*b = -10*b + 8545. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 48, 2\/13, -4\/15, 1\/49, -0.4?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292796 - 292796 + 609*n**2.\nAnswer: 609*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1346263326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4413, -4705, -4997, -5289?\nAnswer: -5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 4239 = 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let q(a) = -2*a - 6. Suppose 4*j = 5*h - 24, 3*j - 2*h + 13 = -2*j. What is j*q(y) - 6*r(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0284 or 0.2?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41248295 and 7865?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*l - 9, -l + 16*t = 21*t + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -451 + 32?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/17)\/(p**(-6\/5)\/p*p)*p**(-2\/3)\/(p\/((p\/(p\/(p*p\/(p\/(p\/p**(2\/11))))))\/p)) assuming p is positive.\nAnswer: p**(1316\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 15*y**2 - 2*y - 2. Let t be q(-15). Let d = t + -22. Solve 5*h + 16 = d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15645689 divided by -31.\nAnswer: 15645689\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 16153?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7*c + 262 = -8*c, 4*c = 2*f - 138. Let q(p) = -8*p**3 + p**2 + 3*p + 3. Let s be q(-2). Let y = s - f. Put y, -2, -1, 2 in ascending order.\nAnswer: -2, -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/60 - 4*u**2. Let a = 4 + -1. Let t(k) = 0*k**2 + k**2 + a*k**2 - 8*k**2. Determine t(v(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {c: 2, z: 7, r: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*a = 79*a + 40583 - 5243 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/9)\/((-2)\/(-6)). Solve 2*u + 0*u + 3*g = -7, 0 = -4*u + d*g + 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6834a (base 16) to base 7\nAnswer: -3425251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 16. Let a(q) = -8*q - 86. Let y be a(-12). Suppose 4*h - j = y. Let d(o) = o**2 - 4*o - 5. Determine d(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = -255. What is the highest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86400 and 53292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9aa (base 15) to base 12\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -98. Let i be (-184468)\/(-55) - (-4)\/10. Let u = i - 3359. What is the common denominator of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - -f0d?\nAnswer: f34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 - (5 - (-4 - -4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3799*w**5 - 31997*w**2?\nAnswer: -227940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225994906 or -1?\nAnswer: -225994906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o, d + d = 2*o + 572. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + c - 15, 2*w + 5*c + 9 = 0. Let i(u) = -19*u + 3. Let d(r) = 6*r - 1. Let y(g) = w*d(g) - 2*i(g). What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 18*a - 16*a. Suppose -w - a = -0*h - 2*h, -5*w - 2 = -2*h. Suppose -l + m + 8 = w, 5*l + 5*m - 2 = 8. Solve 10 = 2*x - 4*b, l*b = x + 4*b - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*k + 28 = 1263*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mltltttttlttttm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Suppose 1 - 6 = -f. Sort -5, f, d in ascending order.\nAnswer: -5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -487*x**4\/2 + 853*x**2\/2 - 679. What is the second derivative of i(f) wrt f?\nAnswer: -5844*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-60)\/18*(-24)\/10 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-315)\/(-18))*(-2)\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034741 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 4*w - 5. Let m = 15 + -13. Let n be 3\/(-6)*(-14 + m). Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(260)*2 - (sqrt(260) + 1*sqrt(260)*1 + sqrt(260)))\/(sqrt(40)\/(sqrt(72)*1)).\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 457559801343?\nAnswer: 457559801348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1155)\/(-135) - (-488)\/36?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469 + -468. List the prime factors of 9 + (482 - (4 - f)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 4, v: 7}. What is prob of sequence ddd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a + 5. Suppose -3*w = -3*r + 12, -3*w + r - 2*r = -8. Calculate the lowest common multiple of a and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*u - 51 + 51 to the form z*u + w and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25250340 (base 6) to base 10.\nAnswer: 815316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 3*n = 11*g - 19, -2*n = -3*g - 4. Sort -5, 5, -2, g in ascending order.\nAnswer: -5, -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1216 + 1227. Which is the nearest to -0.1? (a) 3\/7 (b) s (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170) + sqrt(170) + (sqrt(170) - -2*sqrt(170)) + sqrt(170) + sqrt(170)) + sqrt(170))\/(sqrt(90) + 3*sqrt(90)).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slddqldjqjljhddddj. Give prob of sequence sq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462774 is divided by 4909.\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -54. Suppose 11 + g = 8*z. Suppose z*h = 2 + 6. Solve -h*u + 12 = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -3 (c) 278 (d) 0.6 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4049, -4847, -5611, -6341, -7037, -7699?\nAnswer: -8327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.5 (c) -4\/17 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7368270 rounded to the nearest 10000?\nAnswer: 7370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2512*q - 27773. Give m(-11).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 - 463 + 188)*(-p**3 - 2*p + 2*p).\nAnswer: 121*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -366*h**2 - 12*h + 4. Let w(v) = -11350*v**2 - 375*v + 125. What is -125*p(t) + 4*w(t)?\nAnswer: 350*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.7 + 39.\nAnswer: 45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, 3 in increasing order.\nAnswer: 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {c: 1, l: 2, k: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 784 = 2*o. Suppose -2*h - o = -6*h. Calculate the remainder when h is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 160 = a, -5*a - 4*u = -3*u - 820. Let k = -20260 - -20304. Calculate the remainder when a is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 7. Let a be d(0). Let l = a + -4. Suppose 2*v - 16 = -3*h, -h + l*h = -2*v + 12. Solve 0*r + 20 = -h*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + 6. Let n = t + -55. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -269, -270, -271, -272, -273?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 35. Let k be (-30)\/t*28\/21. Let p be 2\/8 + 319\/4. Calculate the highest common divisor of k and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 8. Let v be s(4). Let q(y) = -y**2 - 6*y - 6. Let k be q(v). Let r(d) = -4 + 6 - 3 + 2*d - d**2. Determine r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvo when three letters picked without replacement from {v: 1, o: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-3)\/((-18)\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*n**2 - 1380186*h*n - 701693950*h - 30*n**2 wrt n.\nAnswer: -2*h*n - 1380186*h - 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((1 + sqrt(76)*-2 - sqrt(76))**2 - (-5*(1 + sqrt(76)))**2 - -1*(sqrt(76)*1 + 1))).\nAnswer: 660*sqrt(19) + 7452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6154 = -4*m + h - 6070, 0 = -8*h - 128 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -1 (c) -483 (d) 0.08 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 7*q - 65. Let m be f(13). Solve 4*z - 1 = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 + 19*t**2 - 1. Let f(h) = 4*h**3 + 10*h**2 - 1. Calculate 6*d(q) - 11*f(q).\nAnswer: -2*q**3 + 4*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503 or -507?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92534 is divided by 27698?\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7737 - 7641. What is the greatest common divisor of c and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 + 2*i**2)*(i - 1 + 1)*(0 + 0 - 1 + (0 - 4 + 2)*(-1 + 2 + 0)).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c = 79*c + 880. Is 220 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4. Let y = -1.26 + 1.2. Let r = y + -0.13. Is u < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478 + 478 - 794*u.\nAnswer: -794*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 395.3 - 393.3. Let o = 20.1 + -20. Which is the closest to 0.1? (a) 0.5 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -7, 4, 69, -4, 3 in descending order.\nAnswer: 69, 13, 4, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -40408066930.116 - 0.5\nAnswer: -40408066930.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 22*a - 44*a - 312 = 0, 5*p = -2*a - 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(3\/72). Let m = 20 + -1. Suppose -2*h + m = -2*n - 33, -h + 4*n + 32 = 0. What is the greatest common divisor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -945?\nAnswer: 17010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019493 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105322218.\nAnswer: 2, 3, 1627, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 49, 0.166815 in decreasing order.\nAnswer: 49, 0.4, 0.166815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -47*d + 44*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18153120.7799 + 0.07.\nAnswer: 18153120.8499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 51*a**2 + 537*a - 12. What is the remainder when 3428 is divided by n(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-20))\/(18\/(-12))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -2 - 8 - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22612, -44749, -66886, -89023, -111160?\n\"Answer: -22137*g - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 367*d - 115 + 353 - 119 - 119 as t + r*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**3 - 11*h - 1. Let c(z) = -3*z**2 - 2. Let j(u) = -11*c(u) + 2*x(u). Let a(d) = d**2. Determine j(a(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917 is divided by 367?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23*r**2 - 133*r + 1. Let i be q(-7). Do i and -197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.897 - 5.997. What is the biggest value in 2\/9, -3, c, -0.3, 3\/26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiississiii. What is prob of picking 1 i and 1 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -667*n**3 + 34*n. Let u(p) = -1001*p**3 + 50*p. Determine -10*t(y) + 7*u(y).\nAnswer: -337*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1292 - -9042\/7. Which is the biggest value? (a) g (b) -4 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-30)\/25))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 4 (c) -290 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657120 by -10.\nAnswer: -65712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 375 + -164. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-1582))\/(13\/182*-3*35\/(-15)).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6872668 and 6872669 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -44 + 2. Suppose -2*k + 4*y - x = 0, -k - k - 2*y + 16 = 0. Solve -g + 3 = 2*g, -k*j - 4*g + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62a - -4bb5a?\nAnswer: 4b530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5864)\/(-312)) + 25*((-54)\/10 - -6).\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c + 139*c + 132*c - 20*c + 1633 - 2*c**2 wrt c.\nAnswer: -4*c + 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2532)\/(-1899)*(-3)\/34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13703014 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 + -89. Calculate the lowest common multiple of 82 and k.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*f - 4060, -3*d - 2 - 1 = 0. Round f to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2305\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 647943?\nAnswer: -647942.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11999*104.\nAnswer: -1247896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -15, -4, 6640, 2, 3 in descending order.\nAnswer: 6640, 9, 3, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320113 (base 4) in base 14?\nAnswer: 2b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -332, -730, -1284, -1994, -2860, -3882?\n\"Answer: -78*h**2 - 8*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -716 divided by 716?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 20. Suppose q = 4*t - 2. Factor -2\/7*x**4 + 0*x + 0 - 2\/7*x**t + 0*x**2.\nAnswer: -2*x**3*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 3. Let p be s(-1). Suppose -2*t - 6 = -5*t. Suppose t*y + 0*y = -4*f - 2, -2*y - p*f = 4. Put -4, y, 2 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 3*f + 15. Let t(v) = -v. Let g(m) = 10*m + 8. Let o be g(3). Let z = 23 - o. Let d(x) = z*t(x) + h(x). Factor d(u).\nAnswer: -3*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 6)*(4*k + 2*k - 4*k) - 89*k - 104*k + 239*k)*(0*k - 4*k + 5*k + 3 - 2*k - 3 + (3 - 3 - 2)*(2*k - 1 + 1)).\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 154650593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 2 = 0. Let z(x) = -x + 2. Let f be z(i). Suppose -5*o + 0*b + 14 = b, b - 5 = -2*o. Solve 3*a + f = -o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4221*k**3 + 319029*k**2 + 651684*k - 6516 = 0.\nAnswer: -2, 2\/201, 543\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -22) + 17 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*m**3 + 2*m**2 + 25*m**3 + 3 + 54*m**3 as w*m + f + x*m**3 + n*m**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**6 + 156*r**5 - 2316*r**2 + r wrt r.\nAnswer: 1200*r**3 + 9360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -59, -129, -227, -353?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5089 - 5088.9. Which is the nearest to 2\/31? (a) -0.3 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - g - 51, 5*m - 5*g + 30 = -15. Let f be (29\/(-5) + 5)\/((-4)\/m). What is the hundreds digit of 2\/f - (14 + -150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 t when three letters picked without replacement from myhmtahhhhhy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257976202 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6589949\/342 + 19269. Let u = v + 3\/38. Which is the closest to u? (a) 0.5 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5922 - 127084 = -2120*v + 67192 + 21526 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9093 or 9092?\nAnswer: 9093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c + 33. Let l(r) = -1. Let x(q) = -3*l(q) + o(q). Does 35 divide x(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4365*o + 1065. Calculate v(-1).\nAnswer: 5430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 8*z + 26. Calculate the remainder when 54 is divided by s(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(600)*2 - sqrt(600))*-1)\/(-5*-4*sqrt(1200)*-2).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2. Let a be o(3). Let n(u) = u**2 - 7*u + 2. Let j be n(a). Suppose -12 = -g - 2. Solve -3*w + 15 = -j*x, w + 4*x + g = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 399298 or 399299?\nAnswer: 399298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/35 + -36\/595. Sort -0.2, n, 3\/4 in descending order.\nAnswer: 3\/4, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 175 - -1*(-11)\/11*-6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from {v: 1, c: 2, i: 1, d: 1, q: 3, p: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79377667?\nAnswer: 127, 617, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981928833 to the nearest integer?\nAnswer: 31336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 3, d: 2, i: 6}. What is prob of sequence iidi?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -37. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 5*c. Let q be m(-5). Suppose q*g = 5*g - 10. Solve 4*v + g = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9499186843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 20*p + 88. What is g(16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-5)\/(25\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 11*q**2 + 32*q + 6. Let o be d(3). Calculate the remainder when o\/(-20) + (-3619)\/(-55) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 27*q**2 - 1905*q + 11233. Calculate g(64).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1889 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:24 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8aba (base 16) to base 6\nAnswer: -432230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3909, -3679, -3295, -2757?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 3*sqrt(1584) - (3 + sqrt(66)\/sqrt(6)))**2.\nAnswer: -282*sqrt(11) + 24308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 23*o, -o = 5*y - 40. Let x(c) = 0 + 7 - 9*c + 4 + c**2. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*b = 0, -3*j + b = 3*b. Put 4, j, 41, -22 in decreasing order.\nAnswer: 41, 4, j, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - x + 1)*(-34 + 58 - 407*x - 24)*(-5*x**2 + 2*x**2 + x**2) in the form g*x**3 + k*x**2 + d*x**4 + m*x + b and give d.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 113*y**6\/3 + 227*y**2\/2 - 96. Find the second derivative of n(c) wrt c.\nAnswer: 4520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.02 - -175. Let z = 1.979857 - i. Round z to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -888*c**4 - 189*c**2 + 2*c**6 - 183*c**2 + 1308*c**4 + 876*c + 3406*c**4 - 870*c wrt c?\nAnswer: 240*c**3 + 91824*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 10*j + 0 - 3*j + (-j + 2*j + j)*(-124 - 104 + 46).\nAnswer: -357*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose -6*r + i*r = 5*j - 1635, -3*j = -9. What is r rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6948073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 4}. Give prob of sequence cc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 79747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82, 348, 792, 1414?\n\"Answer: 89*p**2 - p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 3. Determine f(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 38750 = -497*a + 267*a - 553*a for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(2*i - 2*i + i)*(-i + 7*i - i) to z + j*i**2 + b*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 6*s - 5*s)*(-2*s**3 - 2*s**2 + 2*s**2) + 2*s - 2*s - s**4 - s**4 - 3*s**4 + 0*s**4 + (3 - 3 - s)*(2*s**3 - 3*s**3 + 3*s**3).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-5))\/((-2)\/80). Suppose -14*m + g = -12*m. Suppose -j + 2 - 3 = 0, 3*c - 2*j - 95 = 0. What is the remainder when c is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose 2*m - 12 = -c, 5*c + 7*m - 3*m - 36 = 0. Suppose -2*g + 6 = -5*g. Sort c, n, g.\nAnswer: g, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 7. Give k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cej when three letters picked without replacement from cjcjjcjceejjvjjecj?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*u = 15, -5*s + 0*u - 25 = 5*u. Suppose 3*g - 5*o = g + 66, -5*g - 2*o + 107 = s. Calculate the remainder when 112 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260*j*n + 122*j*u**3 + 33*n**2*u + 333993*n**2 + 672*u**2 with respect to u.\nAnswer: 366*j*u**2 + 33*n**2 + 1344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = -0. Suppose g = -l, z + 94864 = -3*l - 40526. Let w = -58381 - z. Round w to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m + 520 = 4*h, -3*h = 3*m - 1605. Factor -3*p**5 + 216 + m*p + 20*p**4 + 7*p**5 + 145*p**3 + 450*p**2 - 3*p**5.\nAnswer: (p + 1)**2*(p + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -1\/6*x**4 + 0*x**2 + 0 + 19*x + 0*x**3. Let d(z) = 46*z**2. Determine u(d(h)).\nAnswer: -4232*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907692313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5292 by -147.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 550*r**2 + 235*r?\nAnswer: 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121020 (base 4) to base 2.\nAnswer: 1011001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3206691, -3206716, -3206757, -3206814, -3206887?\n\"Answer: -8*k**2 - k - 3206682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22102.000015216 - 22102. What is c rounded to seven dps?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v - v. What is the units digit of (-150)\/(-24) + 3\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 18. Let w be 0\/(-1)*(-25 + 19 - -5). Determine c(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-98)*(-21)\/12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.358763 to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Suppose 3*f - g*f = 10. Suppose f*s - 48 = 4*s. What is the lowest common multiple of 11 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4 - 13*o**2 - 2 + 6*o + 15*o**2 - 8*o**3 - 6*o**2. Let x(r) = r**3 + r**2 - r. Calculate j(d) + 6*x(d).\nAnswer: -2*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7684167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:03 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(4\/9))**(7\/2))**11 assuming n is positive.\nAnswer: n**(847\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -17 + -19 + (-119 - 0).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 z when three letters picked without replacement from nvzcmzzzzzvvvnc.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 47.2. Let z = 22.58 + -23. Let f = 2.42 + z. Which is the nearest to y? (a) 1\/2 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 61*o**2 - 12*o - 6. What are the prime factors of r(-29)?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0995134ml in litres?\nAnswer: 0.0000995134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 32. What is the greatest common factor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = 7. What is the highest common divisor of h and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*f - 45 = -6*x, -20 = -4*f. Let h be -54 + (-25)\/(-10)*-2*1. Let q = h - -63. Solve 2*j - x*j = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12752*b**2 - 12752*b**2 - 249*b**5 + (-1 + 7 + 3)*(4*b**5 - 3*b**5 + b**5).\nAnswer: -231*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 450\/35803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -65\/42*g**7 + 0*g**6 - 55\/2*g**2 - 1\/6*g**3 + 0*g**5 + 1\/12*g**4 - 2 - 110*g. What is the second derivative of x(z) wrt z?\nAnswer: -1300*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 92*a**3 + 1 + a**2 + a**4 - 90*a**3 - a**2 - 3*a**2 in the form o*a**2 + b*a**3 + u + x*a + f*a**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -416 times -61\nAnswer: 25376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -20 + 0 - (-5 + -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 174950016 = 5*a + 23*v, 4*a - 3*v - 139959988 = 0. Round a to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*m - 122*m + 1495 = 38*m. Factor -1\/6*c**m + 0 + 3*c**2 + 0*c - 2\/3*c**4 + 1\/2*c**3.\nAnswer: -c**2*(c - 2)*(c + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 3*z + 119, 4*z = 5*r - 150. Let u be (-175)\/25 + 836\/28 + 4. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13323 from -36732.\nAnswer: -36731.86677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3740 and 167\/2640.\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225568*i - 225569*i - 18 = 4*v, 44 = -11*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 60. Let u = 21.6219 + 1.3737. Let m = u + i. Round m to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1081*a**2*j*z**2 + 62*a**2*j*z - 4*a**2*z - 11*j*z**2 - 30*j + z**3 wrt z?\nAnswer: -2162*a**2*j - 22*j + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 73*w - 31. Let a = 1202 + -1217. Determine f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 6. Let t(v) = -4*v - 13. What is 5*g(h) - 2*t(h)?\nAnswer: -2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 2. Let a be b(2). Let n be a\/15*6 - -6. Solve n*t - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -340.6544 - -143.65529. Let d = 197 + y. Round d to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/72 - y**3\/36 + 5*y - 7. Let x(t) be the first derivative of d(t). Factor x(c).\nAnswer: -c*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*c = 35430, 69976 = 5*m - 4*c - 18536. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 28 + 19\/9*v**2 - 23\/18*v**4 - 22\/45*v**5 + 8\/9*v + 14\/27*v**3 + 4\/27*v**6. Find s, given that n(s) = 0.\nAnswer: -1, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-16))\/((-96)\/(-4)). Let m = n - 581\/960. Let t = m + 11\/35. Which is the third smallest value? (a) 1\/3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1. Let r(s) = 27*s**2 + 2*s + 1. Let y(q) = 4*f(q) + r(q). Is y(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -2\/3*k**4 + 1\/20*k**5 - 7\/2*k**2 - 133*k + 4\/3*k**3 + 0. Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlq when three letters picked without replacement from jqejfjflfcjqj?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -2931202.\nAnswer: 46899232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*t - 14228 - 13179, 6*t = -4*h - 109588. What is h rounded to the nearest one hundred?\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4 = q, 470*o - 386*o = -4*q + 232 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 = -3*i, -22 = 2*o - 3*i - 17. Factor 1\/2*v**o - v + 0.\nAnswer: v*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, n: 9, s: 2, a: 4}. What is prob of picking 1 n, 1 p, 1 s, and 1 a?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - 2*j - 10. Let t be m(-5). Calculate the common denominator of -15\/4 and (4\/(-3))\/(t\/105).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916847 (base 12) to base 3.\nAnswer: 11021102022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 12*y = 110. Suppose -17*m + 20 = -y*m. Let v be ((-12512)\/51)\/(m\/30). What is v rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3872 + 4637. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 2472*x - 504900.\nAnswer: -3*(x + 374)*(x + 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 19*v + 17*v + 5, 3*u = -v - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170998*z**5 - 3*z**4 + 2*z**3 + 26236531*z**2.\nAnswer: 10259880*z**2 - 72*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -395 - 97. Let v = s - 314. Let m = -50 + v. Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*b + 19 + 3, -86*l + 89*l = 2*b + 28 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 159\/158833 and -0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -10, 14, 4, -15 in ascending order.\nAnswer: -15, -10, 4, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.168 - -160.09737. Let m = 0.93 - w. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 37. Suppose 51 = 5*l - 4*q, 5*l - 5*q + 3*q = s. Suppose 4*m - 53 = l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -2 + 5*(sqrt(891) + -1*sqrt(891)) + -1)**2*3.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53813743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 9*o = -36, -o - 12 = 4*o + 3*o - 5*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 6. Give m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -6757 (b) -1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1979 + 5894 = 0. Let u be p\/63 + 6\/(-14). Calculate the highest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/((sqrt(84)*5 + sqrt(84))\/sqrt(7) - sqrt(12)))**2 + 4 + ((sqrt(28) + -5 + sqrt(28))*2 - ((sqrt(196)\/sqrt(7) - sqrt(28)) + 1)).\nAnswer: -147\/25 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -18. Let w = d + 17. Let o = 543 - 2173\/4. Put o, -1\/2, w in descending order.\nAnswer: w, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 1, y: 3}. Give prob of picking 1 y and 1 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 2. Let u = -24 + 18. Let c = u + 2. Is 31 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-20)*6*(-8)\/(-16)*-5\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p - 6, -69 = -4*v + 3*p. Sort 2, 5, v.\nAnswer: 2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -d + r, 0*d - 5*d + 35 = r. Let t be 9\/2*d\/(-6). What is the units digit of (20\/t)\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 317, 531, 745, 959, 1173?\n\"Answer: 214*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-2\/99)*l)*l*l**(-16)\/l*l*l*l**(-9)*l*l**33 assuming l is positive.\nAnswer: l**(1091\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l. Let j(i) = -13*i**2 + 43*i**2 - 14*i**2 - 12*i**2. Give j(d(u)).\nAnswer: 1936*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 + 470*t - 9*t**3 - 137*t**2 - 470*t.\nAnswer: t**3 - 137*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v + 2010. What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80478739.4447663 - -80478743. Let b = -3.387241 + p. Let r = b - 0.168. Round r to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbaababbjbjjjabaa. What is prob of picking 1 j and 1 b?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:48 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {n: 6, i: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.033, -105.\nAnswer: -105, -2\/5, 0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3503720.45 - 0.14.\nAnswer: 3503720.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-307)\/(-2) + 90\/(-20). What is the greatest common factor of z and 40677?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - 0 - (-100 - 86 - -215)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635711 (base 9) to base 4.\nAnswer: 1130111113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.9943 + 90. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 101. Let a = -10.7 - -22.3. Let o = m - a. What is the nearest to -0.2 in -4\/3, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3. Let q(x) be the third derivative of -x**6\/120 + x**4\/12 - x**3\/2 + 74*x**2 - 2. Give q(b) - 3*u(b).\nAnswer: 2*b**3 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-34))\/((-30)\/(-255)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152544 and 4728?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -64 - -4*(-3)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*k - 18 = 194*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 28, 47, 66, 85, 104?\n\"Answer: 19*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*k - 52, -9 = -3*k - 2*m + 15. Suppose 11*o = k*o. Suppose x = -o*x - 3*r + 14, 2*r + 42 = 4*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -11*y - 12. What is the units digit of ((-147)\/3)\/(-1 + (y - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.01856 minus -0.06?\nAnswer: -123.95856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let f(l) = l + 1. Determine -6*f(s) + 5*m(s).\nAnswer: 4*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -22642.8398 to the nearest one hundred.\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710813656*q**3 + 1383853115*q.\nAnswer: 4264881936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283.597 + 268.51. Let h = a - -15. Let k = -0.0870061 - h. Round k to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 17.\nAnswer: -57\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13620, -27242, -40866, -54492?\nAnswer: -68120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16290257 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6918372306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -5, 0 = 2*f - 2*x. Let n be 28\/(-36) + f + 0. Which is the nearest to n? (a) 1\/7 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(136)\/sqrt(8) + 2 + -2*(3*(sqrt(153) + 0) + sqrt(153) - sqrt(153)))**2.\nAnswer: -238*sqrt(17) + 4962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.19 + 16. Let i = 0.09 + l. Which is the closest to 0? (a) 2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -777, -2034, -3787, -6030, -8757?\nAnswer: -11962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -18*o**5\/55 + 303*o**4\/11 - 21194*o**3\/33 + 1212*o**2 - 792*o + 3774. Find y such that m(y) = 0.\nAnswer: 2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (12 - 28)) - -28\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580.482568 to the nearest integer.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 2*sqrt(153) + (sqrt(153)*1 - sqrt(153))*-4 + 5 + -3)**2.\nAnswer: 132*sqrt(17) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 61. Let t(x) = x**3 - 4 + 2*x**3 + j*x**3 + 2*x**3 - 5*x. Let f(q) = q + 1. Let p(n) = 4*f(n) + t(n). Find the second derivative of p(r) wrt r.\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 81\/3 + -1. What is the tens digit of (-1878)\/(-9) + 32\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:45 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 68. Let a be c(0). Let y(x) = x**3 - 18*x**2 + 54*x - 42. Let s be y(14). Is s greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062631318 rounded to six dps?\nAnswer: 0.006263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2764 by -691.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480 is divided by 1474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*g = 28, -22 = 3*r + r + 2*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3398 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 - 38*c**2. Let x(a) = 1 - 6*a + a - 1. What is x(u(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*y = -85*y - 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/989, 29, -2, 4\/9 in decreasing order.\nAnswer: 29, 4\/9, -4\/989, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2049887\/44 + -46584. Let q = -32\/11 - f. Find the common denominator of -13\/6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24335369 or -24335373?\nAnswer: -24335369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.09038 - 0.014.\nAnswer: -9.10438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -2)\/((42 - 1200\/32)*4\/18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + g + 2. Let a be i(2). Let p = -21 + 25. Let y = a - p. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40582169, 81164311, 121746453, 162328595, 202910737, 243492879?\nAnswer: 284075021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/(-190)*8\/14*5*(-77)\/(-8745)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 1.4. Let k = m + -21.5. Let n = k + 21.0000132. Round n to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 4, f: 2, y: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.11746 * 1502\nAnswer: -176.42492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*i - 200*i + 4 = 0. Suppose 3*y + 2*b = -3*b - 5, -i*y - 3*b = -8. Solve -3*f + 2*k + 3*k - 22 = 0, y*f - k = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41454 divided by 42\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/12 - 14*o. Let t = 5 - 3. Let d(a) = a**2 + 16*a**t + a**2 - 3*a**2. What is d(u(v))?\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 - 297.9. Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1912911 and -71\/8547?\nAnswer: 70777707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(3\/(-1))*(-1)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/((-20)\/36))\/(78\/910*-28).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10971 = -3*x, 4*x + 3*l - 2*l - 14638 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728044162 by -31654094.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/(-24) + ((-649)\/(-22) - 12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, -78, -79?\n\"Answer: -m - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6492.18 times -7\nAnswer: -45445.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392647.\nAnswer: 392647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29800757*d**4 - 6*d**2 - 854*d + 155?\nAnswer: -715218168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40375 divided by 2.\nAnswer: 40375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 11. Let c = -197 + 202. Determine s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -15187\nAnswer: 2733.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -570\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10868)\/(-228))\/(221\/(-102)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75488033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 3*g + 2. Let f(d) = 3*d**2 - d + 1. Let y(w) = -w**2. Let z(i) = f(i) + 4*y(i). Determine -s(p) + 4*z(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1 (b) -120 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 7\/(-2). Suppose 0 = -3*y + h*k - 12, -4*y - 4*k + 3 = -13. Let o be -1 - 3\/(-1 + 0). Solve -o*u + 6 = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 29*l**7\/210 + l**5\/10 + 3*l**2. What is the third derivative of g(a) wrt a?\nAnswer: 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = -7*b - 2142. Suppose -12*h = -0*h - 24. Sort b, h, -3 in increasing order.\nAnswer: b, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(5) + sqrt(5)*-2 + sqrt(5))**2)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 259010381.\nAnswer: -2\/259010381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-24))\/(-2 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c. Let i(a) be the third derivative of 45*a**2 + 0*a**4 + 0 + 0*a + 1\/10*a**5 + 0*a**3. Give x(i(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*r - 116*r + 11*r**2 - 6.\nAnswer: 11*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose s*m + 122 = z, 5*m + 243 = -3*z + 5*z. Let x be (-202)\/(-12) + (-4)\/(-24). What is the greatest common factor of x and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 6. Let f be w(14). What is the tens digit of f\/28 + 456\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9))**(-13)\/(n*n**2*n*n*n**(-13)*n*n) assuming n is positive.\nAnswer: n**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 406, 516, 700, 958, 1290?\n\"Answer: 37*w**2 - w + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 324*n - 1092. What is the smallest common multiple of t(7) and 80?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:41 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + -3 + sqrt(208) + (1 + sqrt(208))*-4 - ((sqrt(208) - (0 + -1*sqrt(208))) + -1*(sqrt(208) + 0) + -5))**2.\nAnswer: 320*sqrt(13) + 6706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pumunn. What is prob of sequence mpu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.74 - -0.24. Let o = 16 + -15. Let x = -0.5 - -0.1. Put n, o, x in increasing order.\nAnswer: n, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 8*t - 4*t + 386.\nAnswer: 4*t + 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-114)\/24 + 5). What is the second derivative of -q**3 + 3*q**3 - 3*q**4 - q - 2*q**3 - 5 - k*q**4 wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 142?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51421 + -35258. List the prime factors of i.\nAnswer: 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2368 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + (11 - (30 - 82)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 141968262 to the nearest 1000000.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.78034 days in minutes?\nAnswer: 14083.6896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -7*i**4\/12 - i**3\/6 + 6*i - 13. Let t(c) be the first derivative of q(c). Find the second derivative of t(s) wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y - 5. Let a(t) = 3*t. Let l(s) = 12*s + 1. Let u(v) = -9*a(v) + 2*l(v). Determine -4*m(h) - 9*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 - 3*g + 3. Let i be p(3). Suppose 0 = -4*f - 4*f + 16. Let q be f\/(-16) - 300\/(-96). Solve -i = -5*r - 4*l, -q*r + 5*r - l = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 3.\nAnswer: 148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/880 and -49\/136.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -16887.52181 to the nearest 10.\nAnswer: -16890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/2)\/(-5*5\/(-650)). Let g = 69 - t. Suppose -g*p = 3*p - 784. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p - 2. Let n(x) = -4*x - 1. Let g(l) = 7*n(l) - 6*y(l). Calculate g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.5, 16.\nAnswer: -1\/9, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(2\/7)*b))\/(((b*b\/(b**(4\/21)\/b))\/b)\/b))\/(b**(2\/15)\/(b**1\/b)) assuming b is positive.\nAnswer: b**(-43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 - 15*r + 2. Let y be n(-8). Suppose -o = -4*i + o + y, -4*o = 4. Calculate the lowest common multiple of (-134)\/(-6) + 2\/(-6) and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 49, 270, -2 in descending order.\nAnswer: 270, 49, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 242 - 10. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.990853 millimeters to kilometers.\nAnswer: 0.000004990853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*c + 40 = 0, c + 3 + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(95)\/sqrt(45) - sqrt(19))**2*-2 + 1 + -1)*-3.\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39126445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.13 + -0.13. What is the third smallest value in -0.1, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 4, n: 4, x: 8}. Give prob of picking 1 n and 1 h.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -967 times -0.2\nAnswer: 193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 35*m**3 - 2*m**2 + 3*m + 3. Let s(h) = 36*h**3 - h**2 + 4*h + 4. Let j(d) = 3*s(d) - 4*x(d). Find the third derivative of j(u) wrt u.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 u, and 1 j when four letters picked without replacement from {d: 1, i: 4, u: 2, a: 1, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 7. Let i(q) be the first derivative of q**3\/3 - q - 46. What is -4*i(k) + x(k)?\nAnswer: k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9) + (-45)\/(-27). What is the remainder when 128 is divided by ((-18)\/3)\/(h\/(-10)) + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4025713 is divided by 1341875.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 1\/3 (c) 0.0364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from ttbte?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658384.\nAnswer: 2, 7, 13, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*k - s, -k - 13*s - 15 = -10*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z\/(z**(3\/2)*z))*z)\/z)\/z)**46*(z\/z**(-5))\/(z\/(((z\/(z**(-8\/9)\/z*z*z))\/z*z)\/z)) assuming z is positive.\nAnswer: z**(1079\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -254\/5, 160, 466\/3?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = 0, -2*f + 5*m - 34 = m. Let h = -3 - f. Let x = 12 - h. Solve -2 = 2*v + x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6917.\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/((-20)\/(-30)). Which is smaller: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 38*g - 80. Suppose 26*d = 67 + 11. Let i be u(d). Which is smaller: 35 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30947 or -31861?\nAnswer: -30947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7430.17168 to the nearest integer.\nAnswer: 7430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in -2\/9, 50, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**10*f*f\/f**(3\/4))\/(f*f*f\/f**(-10))**24 assuming f is positive.\nAnswer: f**(-1195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316 - -73.68834258.\nAnswer: -242.31165742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1*-1*-5. Suppose 2*z**2 + 10*z**2 - 18 - 3*z**2 + 16*z + r*z = 0. Calculate z.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 15 in decreasing order.\nAnswer: 15, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 26862689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8*-260.5.\nAnswer: -989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q - 1. Determine i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - 11 - ((-15 - 35) + 15 - 12))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d + 75. Let m(a) = 5*a + 36. Let q(i) = 4*h(i) - 9*m(i). Give q(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3646774553?\nAnswer: 149, 24474997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*f + 31 = 0, 0 = 5*i + 5*f + 4 + 11. Suppose 0 = 5*r + i*z + 8, 4*z - z = -r - 12. Suppose r*q = -q + 5. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 709606727 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/105 + (-27)\/(-15))*(-93)\/(-155).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 - 2.9. Let o = q + -1.34. Let h = 0.04 + o. Is 5 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 56695056.\nAnswer: -1\/18898352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 8:26 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*x - 4 - 3 = 0, -313 = 2*x - 319 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 923961 and 54750?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l - 345 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001966 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 352130? (a) -92 (b) 0.5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613213258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -152, -227, -302, -377, -452?\n\"Answer: -75*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.5 - 15.6. Which is the nearest to -2\/9? (a) 1 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.13 and 0.1?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.03 (c) 0 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2 - (16 + -20). Let g be q - (-2 - (-24)\/14). Let n = -0.4 + 0.6. Which is the third smallest value? (a) g (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 - w**3 - w**2 + 9*w + 11. List the prime factors of z(-6).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11421 = 3*j, 12*j - 19035 = 7*j - 3*q. What are the prime factors of j?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 17. Let c be u(14). Suppose 19 = -3*a + 5*p - c*p, a + 18 = 3*p. Let o(s) = -2*s - 2. Calculate o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (3 + 4 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 z when four letters picked without replacement from zzzjzzzjz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q**2 - 734*q - 288. Let y be l(-73). Solve -4*v = y*d - 16, d = -2*v - 16 + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Let h be ((-2)\/(-3))\/(d\/(-6)). Let y be h + 23703\/(9\/3). Round y to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10135, 40611, 91427, 162583, 254079, 365915, 498091?\n\"Answer: 10170*m**2 - 34*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*v**2*y**3 + v**2*y**2 - 16*v**2*y - 4363*v**2 + 4*v*y**3 + 3*v*y**2 + 2*v*y + 113*v + 86*y**3 - y**2 wrt v?\nAnswer: 38*y**3 + 2*y**2 - 32*y - 8726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104880 and 513360?\nAnswer: 9753840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -1\/2 (c) -4\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 105\/20) + 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzz. Give prob of picking 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + (-6 - (-5 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c**5 - 2*c**4 + 79*c**3 - 29*c**2 + 3*c + 1 wrt c?\nAnswer: -720*c**2 - 48*c + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -462960, -925900, -1388820, -1851720, -2314600, -2777460, -3240300?\n\"Answer: 10*o**2 - 462970*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/2)*i*i*i*i**10*i*(i*i**(-6))**(1\/56) assuming i is positive.\nAnswer: i**(751\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:08 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83080006 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + b - 15, -3*d + 3 = 4*b - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8102 - 8095. Let t(r) be the second derivative of -1\/2*r**6 + 1\/4*r**4 + 0 - 9\/20*r**5 + 1\/2*r**3 - 1\/7*r**v + 0*r**2 - 21*r. Factor t(z).\nAnswer: -3*z*(z + 1)**3*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -473*k - 162. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -c + 5*p + 11, 3*p + 15 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.1 - -26. Let u = 308468\/9711 - -14\/1079. Let d = -32 + u. Which is the closest to t? (a) -0.5 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72948.36l?\nAnswer: 72948360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*y + 10 = 0, 4*g + y + 4*y + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1640 = 17*r + 3*r. Let l = 84 - r. Solve 0 = 3*j + 9, l*g - 3*j - 14 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -3, 2\/261, 2.4, 241 in decreasing order.\nAnswer: 241, 2.4, 2\/261, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643876 - 643871. Let o(u) = u**2 - 7*u + 8. Let b be o(6). Put v, -3, b in ascending order.\nAnswer: -3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 9*n**2 + 9*n + 3. Let l be b(9). Let s = 99 - l. Suppose -i = i - 90. What is the highest common factor of s and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6435 - 6413. Calculate the remainder when 1184 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 88 = -o - 56, 2*g - 286 = 3*o. Suppose -4 = -2*s, 4*w + 2*s - s - g = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q - 60. Let v be q\/24 + (-3)\/2. Let j = -46 + 140\/3. Which is the second smallest value? (a) j (b) v (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (-101 + 0). Suppose 0 = 2*q - 5*q + g. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z - 5. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-398)\/8*2*(-18 - (73 - 17)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.1 + -24. Let r = a - 1. Let n = -5 - 0. What is the nearest to r in -0.2, -2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 6*k - 2. Let d be g(8). Suppose 2*r = 238 - d. Calculate the greatest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 5*j**2 - 4*j - 20. Let z be i(-4). Let f be (-1 + 0 - (3 - z))*2. What is the greatest common divisor of 64 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) + 67\/2. Suppose -644*z + 148*z = 133*z - 13838. What is the highest common divisor of f and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*g + 36 = -252*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 92 = 3*l - 2*v, 5*l = 3*v + 93. Suppose 5*k - 87 - 48 = -5*t, 3*k = -5*t + 145. Calculate the lowest common multiple of l and t.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 138444570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10202?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35 - 11642565907.013.\nAnswer: -11642565906.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-51)\/42)\/2 - 34\/(-238)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10191296 divided by 986?\nAnswer: -10336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 5*y**2 + 2*y - 5. Let d be m(4). Let x = d + 64. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(i - 4*i + 2*i)*(5 + 1 - 2)*(-5*i + 4*i + 2*i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/(-10) + 104 + -112. Which is the second biggest value? (a) 11 (b) 5\/3 (c) y (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 3 + 3)*(2*i**3 + 2*i**3 - 2*i**3) + (0*i + i + i)*(0*i**4 + 4*i**4 - 2*i**4) - i**5 - 3*i + 3*i.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = u - 0, -t + 2 = 0. Suppose 127 = 5*w - 2*j - 421, 420 = u*w + 3*j. Suppose 4*c - w = -0*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 139\/130?\nAnswer: 139\/130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423955276.\nAnswer: 2, 105988819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9340650*m**3 + 18681301*m**3 - 9340652*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1829*r + 1844*r - 3631*r - 36*r**2.\nAnswer: -36*r**2 + 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 5. Let k(i) = -i. Let f(l) = -5*k(l) - o(l). Suppose -5*d + 14*h - 49 = 11*h, 3*h + 23 = -4*d. Give f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3862\/40551)\/((6\/(-21))\/(2\/(-9)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*j = -2*j + 30330, 5*j + 18235 = 3*g. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 + 1016*p**3\/3 + 2738*p**2\/3 + 2404*p\/3 + 688\/3 = 0.\nAnswer: -1, -2\/3, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose 0 = d*i - 0 - 40. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.548, -2 in decreasing order.\nAnswer: 4, -0.548, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 819 + -567. Let r = -252 + u. Solve 5*n = 2*c - 23, 5*n + 22 = 3*c - r*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:54 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 7*f**2 + 0*f**3 + 2*f**3)*(45*f + 127 - 127).\nAnswer: 90*f**4 + 90*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000162 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -27422436.4523618 and -2.\nAnswer: -27422438.4523618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 1, 36, 71, 100, 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2804 - -25234\/9. Which is the second smallest value? (a) r (b) 0.5 (c) -2 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333828.9*18\nAnswer: 6008920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/(-3) - 7092\/(-36). Calculate the greatest common factor of 406 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*y = -11, 5*y + 4 = -4*l - 4. Suppose 3*c = 4*b - 33, 0 = -3*b + 3*c + 24 + l. Suppose j = -1 + b. What is the remainder when 19 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 4, -3?\n\"Answer: -7*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4741, -9488, -14245, -19018, -23813, -28636?\n\"Answer: -c**3 + c**2 - 4743*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y - s, -5 = 4*y - 2*y - s. Solve 2*k - k = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-10) + 1 + 23. What is the highest common divisor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391 bigger than 3398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -203*h + 1218. Let r be k(6). Let n be 4\/5*5\/2. Solve r = -u + 1 + n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/18)\/((-2)\/6). Suppose 2*t + 13 = -2*r - 33, n*r + t + 119 = 0. Let j = r + 83. Do j and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -32. Let g = s - -13.965. Let i = g - -0.03554. What is i rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1850*v - 504*v + 2*v**3 - 516*v - 412*v as z*v + o + a*v**3 + p*v**2 and give z.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -20508?\nAnswer: -1\/5127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*h**4 + 51*h**4 + h - 17*h**3 + 3 - 2*h + 44*h**4 + 47*h**4 to the form t + i*h**4 + n*h**2 + k*h + o*h**3 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.872479 meters to nanometers.\nAnswer: 4872479000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 2*v + 3. Let p be c(0). Suppose 0 = -2*g + 4*h + 24, p*g + 4 - 55 = h. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 equal to 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97971 and 3219144?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70804873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -s + 4*a, -2*s - 4*a = -22. Calculate the remainder when 79 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 13*r - 324. Let q = -30 - r. What is the remainder when 117 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 0. Suppose 3*i + i - 364 = n. Let z = i + -62. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -35*b**5 + 1005*b**4 + 3625*b**3 + 1875*b**2 - 3590*b - 2880 = 0?\nAnswer: -2, -9\/7, -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + d = 6*d - 5, 0 = 3*n - 4*d + 1. Suppose 683 - 15238 = -n*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3*u + 2. Let r(q) = -q**2 + 5*q + 6. Let j be r(5). Let g be 0\/(j\/(-3)) + -4. Give o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 781?\nAnswer: 28116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2*s**3 - 17*h**2*s**2 + 140672*s**5 + 16687*s**2 wrt s.\nAnswer: 42*h**2 + 8440320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 58, 45, 30, 13, -6?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -663264 divided by 18?\nAnswer: -36848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51455 + 2505?\nAnswer: 54404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 18*f**2 - 40*f + 2. What is the lowest common multiple of p(-20) and -6 - (-8*(-1)\/(-1) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5773*f**3*g**2 - 2*f**3 + 2*f*g**2 + 2804 wrt g?\nAnswer: -11546*f**3*g + 4*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u + 5. Let c(b) = -7*b + 3. Let w(h) = -5*c(h) + 3*l(h). Let y(q) be the second derivative of q**4\/6 + 2*q. Give w(y(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-109)\/1980 + (-174)\/(-2871). Let o(q) be the third derivative of 0*q - 5*q**2 + 0*q**4 - 1\/240*q**6 + 0 + 1\/252*q**7 - t*q**5 + 0*q**3. Factor o(h).\nAnswer: h**2*(h - 1)*(5*h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 7.83\nAnswer: -39.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -16. Let z(q) = -q**2 - 3*q + 43. Let b be z(5). Put 1, b, p, -1 in decreasing order.\nAnswer: b, 1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q - 81*q - 40 = 0. Suppose -s = 4*o - 4 - q, s = 4. Solve 2*c = o + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*t + 4*n - 6, 4*n = 4*t - 24. Calculate the remainder when (4 - 2) + 9*3 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 - t + 2. Suppose 2*b - 3*c = 16, 3*c + 2 = -4*b - 2. Let y be w(b). Suppose -2 = q - y. What is the remainder when 11 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 22. Calculate the smallest common multiple of 6 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + -3242243240?\nAnswer: -3242243411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 7*o - 5 + 38 + o**2.\nAnswer: o**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 108299.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*f*h**2*l + 8*f*l + 12*f + 8*h**2*l + 4*h**2 - 5*h*l + 3*h wrt f?\nAnswer: -5*h**2*l + 8*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/7, -182, -15, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:38 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1170 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14203330 (base 5) to base 6\nAnswer: -3054044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5082) - (3*sqrt(5082) + sqrt(5082))) + (sqrt(1512)*2 - sqrt(1512)))\/(sqrt(216)\/sqrt(4) - (sqrt(600) - -1*sqrt(600))))**2.\nAnswer: 5103\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 31160*d**3 - 15581*d**3 + 7 - 15586*d**3.\nAnswer: -7*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 1 - 1 - 231*q - 368*q + 480*q + (-2 + 2 + 2)*(q - 2 + 2) - 2 + 2 + q + 0*q + 3*q - 2*q + 17 - 17 + q in the form u + g*q and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 52. Let y(p) = -19*p**2 - 2*p - 2. Let s(w) = 36*w**2 + 4*w + 3. Let g(m) = 3*s(m) + 5*y(m). Determine g(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*y = -7, 5*w - 14 = -y - 1. Solve w*f - f = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*10\/6 + 4. Let n(a) be the second derivative of 35*a**4\/12 - a**3\/6 - a. Let k be n(-1). Calculate the highest common divisor of k and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123774*h**2*o + 16827*h**2 + h with respect to o.\nAnswer: 123774*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309462 is divided by 93.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b (base 13) in base 16?\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21342 + 1.21342. Which is the nearest to f? (a) 16 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f + 2*f**2 - 124*f + 44*f + 50*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 1, q: 4, o: 2, i: 6}. Give prob of sequence ogoq.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**4\/16 + 5*o**3\/12 + o**2\/2 - o + 14. Find x such that q(x) = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19716 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68807, -68809, -68811, -68813, -68815?\n\"Answer: -2*z - 68805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 24. Let p = 7 - 4. What is the tens digit of (-1)\/p + 74\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2469*m**2*v**2 + 3468*m**2 - 1369*m + 6168*v**2 + 2*v wrt m?\nAnswer: 4938*v**2 + 6936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 23. Let p = g - 117\/5. Let n = 5.56 + -1.56. Sort 2\/53, p, n in increasing order.\nAnswer: p, 2\/53, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-69)\/230)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21968742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 2*w**2 - 7*w - 12. Let g be u(-3). Let s be (-15)\/10*2\/3. Put s, g, 2 in descending order.\nAnswer: 2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*b + 22 - 36, 0 = o + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a. Suppose -2*j + 3*j = -5. Suppose 9 = -5*f - 11, 2*f = 5*r - 13. Let t = j + r. Calculate l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 56 + 8 + -48 - -14?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.55707 rounded to 1 dp?\nAnswer: 652.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeltqquaequeltaq. Give prob of sequence uatq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -2 (b) -1\/6 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 11)\/(8\/(-6)). What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**3 + 4*l + 1. Let d(t) = 14*t**3 + 3*t + 1. Let n(g) = -5*a(g) + 6*d(g). Suppose -23*p + 54 = 4*p. Is n(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.782 (b) -2 (c) -76 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -17*y**2 - 4*y + 9. Suppose -l = -5*l - 36. Let n(i) = 6 - i + i**2 - 6*i**2 + i**2 - 4. Determine l*n(z) + 2*j(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 201*u - 237. Is 3 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/2 + 15. Let l be (4 + (-52)\/8)*-2. Let n be 1\/l - 11\/55. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a + 65*a**2 + 11*a + 30*a**2 - 20*a)*(30*a**2 - 62*a**2 + 123*a**2).\nAnswer: 8645*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1118737203 or 1118737202?\nAnswer: 1118737202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose -h*x + 36 + 149 = 3*r, -r + 70 = -x. Suppose r = 4*l - 11. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 s, and 1 v when four letters picked without replacement from {s: 3, t: 4, v: 1, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198126466?\nAnswer: 2, 2099063233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3102537, 3102541, 3102545, 3102549?\nAnswer: 3102553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1275 + 5612\/1275. Sort 0, -0.4, f, -4.\nAnswer: -4, -0.4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.072 + 69.928. Let a = 63 - d. Which is greater: -1\/3 or a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -774*h**2 + 7*h + 4. Calculate d(-1).\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from qxuxpqiqbxxxppxqpui.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57231 and 0.114.\nAnswer: 6524.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323640\/(-1798)*1\/4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55543823 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 17 = -5. Let n(z) = -m*z + 3*z + 8 + z. What is the units digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472254847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -790\/3 - -8689\/33. What is the closest to 0 in -1, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128270 times -4\nAnswer: -513080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*c = 794*c, c - 9585 = -5*w. What is the greatest common factor of 108 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1368 + -1368 - (0 - -1 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12964 is divided by 12785.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1251 (b) 5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142405617 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 >= 259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.29 and 241815.\nAnswer: 241814.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. What is the remainder when 9 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:26 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 583479397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*p**3 - 3121*k**3*p**2 + 4*k**2*p**2 + 25*k*p**3 wrt k?\nAnswer: -12*p**3 - 18726*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -219, -222, -225, -228, -231?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -497130 and -18393812\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 91*c - 90. Let r be y(1). Solve v = 3*z - 3*v - r, v + 2 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12000 + 2102332100?\nAnswer: 2103010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56040 = 230*f - 250*f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 8) in base 4?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.2 + -88. What is the fourth smallest value in 0.5, 4, 1, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 11*c**2. Let o be y(11). Let i = -327\/68 + 120\/17. Let v = i - 2. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18099 = 2*g - 18121 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**5\/5 + 12*d**4\/5 - 54*d**3\/5 - 27*d**2 - 81*d\/5.\nAnswer: d*(d - 3)*(2*d + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*c + 26 = 0, 22 - 14 = 2*o - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/8 and 95\/43908.\nAnswer: 87816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10952 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2. Let g(t) = -1313 + 1318 - 3*t + 0*t. Determine g(y(k)).\nAnswer: -18*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) - (-5810)\/747.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - 17. Let f(s) = s**2 + 10*s - 16. Let w(g) = -3*b(g) + 2*f(g). Calculate the remainder when w(7) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 282 = -5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 3*i - 107. Suppose -p - 4*o = -i, -p + 5*p + 2*o = 22. Is (-5878)\/3*((-63)\/p)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1825, -14, 4, 0, -5, 28.\nAnswer: -14, -5, 0, 3, 4, 28, 1825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 80.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80835 + 80835. Let q = 2 - 5. Sort g, q, -1\/5, 0.55.\nAnswer: q, -1\/5, g, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Let f = v + -2. Let t = -13 - -12. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 2*m**2 - 6*m**3 + m**3 + m**3 - 44*m + 46*m to c + p*m**4 + w*m**3 + r*m**2 + j*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248 - 90 = 85*d - 2231 + 564 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/5)\/r**(-15)*r**(-1\/12)*r*r**(-3)\/r*r assuming r is positive.\nAnswer: r**(811\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7718201?\nAnswer: 7718201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 2*m - 2*m - 2*m - 4. Let o be d(5). Solve 5 = s + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2902219 millilitres?\nAnswer: 0.0002902219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 6254*c**3\/3 - 64160*c**2\/3 + 181784*c\/3 - 52288 = 0. What is c?\nAnswer: 2, 19\/3, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219937122 and 1881?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212*(462\/(-88))\/(-21).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1571188\nAnswer: -5\/1571188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 93, 341, 825, 1623, 2813?\n\"Answer: 13*o**3 + o**2 - 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 4\/(-8)*4 - -384. Let x = -334 + s. Calculate the greatest common divisor of 187 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312338, -312339, -312340, -312341?\nAnswer: -312342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 5*d = -45, -33 = 2*p + 5*d. Let r(s) = -2*s - 6. What is r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23678323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/4 - 7*n**3\/6 - 11*n**2. Let z be x(4). Let t = -28 - z. Solve -t = -q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/2385039 or 0?\nAnswer: -50\/2385039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -169. Solve -h + 3*j - 9 = 0, t*h = -j + 20 - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-60)*(23050\/4 + 0). Suppose -a = -0*a + 3, 2*a + r = 4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4351, -2, -5 in ascending order.\nAnswer: -5, -2, 4351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-792)\/(-1320))\/((-27)\/4185)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 1246 = -87*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 6) + 1 + 0. Let t be ((-3)\/2)\/((-6)\/20). Sort 2, k, t.\nAnswer: k, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1488 - 1483. Solve -32 = 5*t + 3*j, -8*j + 6*j = -w*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*t**4 + 2*t - 2*t**2 - 2*t**3 - 5*t**4 + 0*t**2.\nAnswer: 2*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (704\/660*-5)\/(4\/(-6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*z + 47*z**2 + 244*z - 93*z**2 + 237*z + 48*z**2 - 245*z.\nAnswer: 2*z**2 + 600*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -9. Let j = 806 + -743. Suppose k - z = j. What are the prime factors of k?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 19 = 4*n, -676693*n + c = -676690*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -15, -2*b = 4*g + 3*b - 253. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 41. Solve 4*a = 3*i - a - 3, -k*i - 2*a = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(2*sqrt(12)) + sqrt(171) + -2)**2 + 1.\nAnswer: -14*sqrt(19) + 951\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356857849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*8*(-1 - 0). Solve -o*h + 3 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -62*w + 2. Let f be u(1). What is the least common multiple of 3 and -6*(-8)\/f*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 3608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -71*l**5\/5 + 6*l**3 - 68. What is the third derivative of i(d) wrt d?\nAnswer: -1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*p = 241*p - 372 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k**(-3\/10)*(k**0)**(6\/5) assuming k is positive.\nAnswer: k**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.5 (c) 2\/11 (d) 6638\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:16 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:48 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.58201986125 and 0?\nAnswer: 1.58201986125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -20557*d**2 - 8*d + 4. Let p be v(-6). What is p rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 - b + 59 - 26.\nAnswer: -b - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128956 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/5 - 429551*g\/5 - 8589020 = 0?\nAnswer: -429451, -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -187.26483?\nAnswer: 1498.11864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1893116500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 14*w. Let k(v) = v**2 - 19*v. Let y(h) = 3*k(h) - 4*o(h). Let g(i) = -2*i**2 + 2*i. Calculate 2*g(d) + 2*y(d).\nAnswer: -6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*g**3\/5 + 22622*g**2 - 72702*g\/5.\nAnswer: -2*g*(g - 4039)*(14*g - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(300) + -2)**2 - (sqrt(300) + 1 + sqrt(300) + -1)**2 - (sqrt(243) + -6*(1 + sqrt(243)) + -1)**2)*1.\nAnswer: -35100 - 3350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 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: Is 2520769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 6) to base 4.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(304) + 3)*-1)**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934.3878 years to millennia.\nAnswer: 0.9343878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 583 (b) 2 (c) 3 (d) -3\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2506669592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4096705 + 29*f**3 + 4096705.\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111936 = -63*d + 87*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - -17 - (1 + 1). Let u = 60 - q. Let y = -28 + u. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 122 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:46 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/(-39))\/(5 + (-495)\/100) and 89\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*y - 5514 - 8312, 34610 = 5*w - 4*y. What are the prime factors of w?\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*v - 150*v + 10. Factor -8 + 4*z**2 - v*z**2 + 7*z**2 - 10*z**2 - 12*z.\nAnswer: -4*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8838 is divided by 528?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 101\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 420 - 418. Suppose -y*c - 2*g + 1198 = 0, -4*c + 3*c = -4*g - 624. What are the prime factors of c?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (0 - -4 - (1 + 2)) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/5)\/(2\/(-30)). Let k be t\/(-7) - 18\/63. Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2269126918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -68, -105, -142, -179?\n\"Answer: -37*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9973 smaller than 0.01831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3797\/3 or 1267?\nAnswer: 3797\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/281?\nAnswer: 6\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -781\/5, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 2*l**2 - 2*l - 1. Suppose -4 = -m - 5, 2*c + 2*m + 6 = 0. Let b be s(c). What is the second derivative of -5*n - n + b*n - 3*n**3 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*p - 6, 5*k - 4*p + 12 + 0 = 0. Solve 3*g - 3*d - 9 = k, -2*g - 2*d - d = 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4*h + 2. Let r be x(-4). Solve r*c + 0*c = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9928739g?\nAnswer: 992873.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 14*j - 21*j - 11 = -9*j, -3*f - 2*j - 31 = -0*j for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 3) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/75 - -8\/825. What is the second biggest value in p, 2\/11, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 - t**3\/2 + 5*t**2\/2 + 4*t - 2. Give d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 217*v**2 + 6.\nAnswer: 217*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -2 - (-15 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + -1*sqrt(90)\/sqrt(3) - sqrt(210)\/sqrt(63))*-1)\/(3*(sqrt(10) - (sqrt(30)\/sqrt(3)*-5 - sqrt(10)))*4).\nAnswer: sqrt(3)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*t - 1310, 4*t - 475 = 5*w + 573. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.1325 centuries to years.\nAnswer: 22713.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 58 (b) 2\/19 (c) 1.3 (d) 5 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)\/(f\/(f*f*(f*f\/f**(1\/3)*f)\/f)*f))\/((f\/(f**(-3)\/f))\/f)**(7\/5))**(1\/17))**(-1\/2) assuming f is positive.\nAnswer: f**(67\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -797 or -3\/11?\nAnswer: -797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 69. Let k be s(20). What is m in m**4 - 2*m**4 + 9*m**2 + 20*m - 194 + 198 - k*m + m**3 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(208) + 0) + 3.\nAnswer: -8*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*k + 59 = 24, 2*k - 10 = 4*j. Suppose -n = n + 8. Let w = 3 + n. What is the nearest to w in -6, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19387835563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuufaiuxueuuf. What is prob of picking 2 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20893 or 2.056?\nAnswer: -20893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/56*(-16)\/((-2)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*g + 2*d + d - 95, g - 84 = -d - 74 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/21423766 and 9\/12242152.\nAnswer: 85695064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 924886 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3318271812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -2*h**5\/15 - 13*h**4\/12 - h**3 - 10*h**2. Factor w(j).\nAnswer: -2*(j + 3)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**2 + 25*h**2 + 5*h**3 - 20*h**2 + (-3 - 1 + 2)*(-4*h**3 + 0*h**3 + 2*h**3) - 16*h**3 + 63*h**2 - 63*h**2.\nAnswer: -7*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13303 (base 7) to base 3.\nAnswer: -11220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3247.338 - -3287.3. Let i = -0.038 - y. Let r = i - -40.000051. Round r to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -234*o + 241*o - 7546. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 3*a**2 + 4*a + a - 3*a.\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let y(p) = -19549010*p. Calculate x(y(v)).\nAnswer: 764327583960200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 665?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 96, 325, 770, 1503?\nAnswer: 2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 5. Let g be a(-3). Find the first derivative of 6 - 7 + 6*i - g*i**4 - 6*i wrt i.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1202, -2239, -3276, -4313?\n\"Answer: -1037*x - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/481110 and 51\/238470190.\nAnswer: 715410570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((6*(sqrt(304) + 1) - (sqrt(304) + 0)*-2)*4)**2 + -2.\nAnswer: 6144*sqrt(19) + 311871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 8*i**2 + 11*i - 18. Let x be l(-6). Calculate the greatest common factor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - 2345\/(-7236)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -13342314?\nAnswer: -13342323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 minus -0.7?\nAnswer: 0.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 2742.8.\nAnswer: 2742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 87*k**2 + 1752*k + 1664.\nAnswer: -(k - 104)*(k + 1)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -5 (c) 0.06974 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 507033, 507096, 507201, 507348, 507537, 507768?\n\"Answer: 21*v**2 + 507012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:20 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:07 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 24 = -2*l, -52*l + 50*l - 12 = d. Let n(r) = 3*r**2 + 5*r + 4. Calculate n(d).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89737?\nAnswer: 19, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46229 - 82*k + 46229)*(-3 + 3 + 5*k).\nAnswer: -410*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4819 = -u - 4*v + 5120, -49695 = -5*u + 5*v. Let x = 5349 - u. Is 31 a factor of x\/(-75) + (-8)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/98)\/(8 - 7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 6:55 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -278, -289, -304, -323, -346, -373?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/28 - -2)*(-11 + 9). Suppose -4*o - 98 = -l, -5*l + 5*o = -307 - 138. Let n = l + -601\/7. Which is the smallest value? (a) n (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5353 or 12894?\nAnswer: 12894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100201002 (base 3) in base 11?\nAnswer: 31990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102515 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 179?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10377 (b) 0.7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-188)\/(-60) + -4 - -1. Let w = 4\/5 - x. What is z in 0 + 4\/3*z**3 - w*z + 0*z**4 + 0*z**2 - 2\/3*z**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-22)\/(-2))\/(-1). Let l = -8 - h. Factor w**3 - 4*w**3 + 6*w**l + 0*w - w**2 - 2*w.\nAnswer: w*(w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 41*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 3*r + 2*r**2)*(-41*r + 41*r - 7*r**3).\nAnswer: -14*r**5 + 21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*10\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1220, 2499, 3776, 5051, 6324?\nAnswer: 7595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 6 + 119\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:40 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 405 + -387. Find the common denominator of 15\/136 and (11\/n)\/((-112)\/(-168)).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 13*r**2 - 121 + 219.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11432 a factor of 4962441796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 212101 (base 3) to base 7\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 18*c - 83. Let v = 10 - -1. Let i be y(v). Let z(l) = l**2 - 2*l - 6. Determine z(i).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Let y = 31.7 - 32. Let f = 112 + -112.2. Which is the nearest to 0.6? (a) f (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10948\/19550*30\/(-21).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y - 88. Let i = y - -16. Let v(b) = 2*b**2 - 7*b. Let o(m) = -m**2 + 4*m. Calculate i*v(z) - 11*o(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 401 + 388 + 394 - 1576 + 393.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e0a (base 16) to base 10.\nAnswer: -7690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4945 in 1\/2, -9, -7, 5, -4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 21*l**2 - 60*l - 51. Calculate t(7).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 7, z: 4, v: 8}. Give prob of sequence uv.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 6817\/(-1))\/(-9 + 8).\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/1) - (-2)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 10. Let b be j(9). Let n(g) = 2*g**3 + g - 1. Let m be n(b). Suppose 140 = m*d + 3*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooqkookkok. What is prob of picking 3 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 219142858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -134*x**2 + 32*x - 596. Let f(k) = 4*k**2 - k - 3. What is 32*f(h) + v(h)?\nAnswer: -6*h**2 - 692","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.532 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296\/16*-10*(-13)\/1170?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280*(-53)\/17437*-47.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 65\/2 (b) -5 (c) -0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 45 = 0. Let c = 18 + l. Suppose 3*k = -c*g + 36, -2*k + 14 = g - 0*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 5667390.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -675722 - -480?\nAnswer: -675242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3522 - 32275.5.\nAnswer: -32275.8522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386 less than or equal to -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*o + 5, 0 = -4*o - 4 - 0. Let g(c) = -2. Let r(v) = -v. What is l*g(b) + 2*r(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 543 + -349. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24)\/((-126)\/162)*12.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 22 in increasing order.\nAnswer: 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 3\/5 (c) 22\/5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (7 + -18 - 28)) + -4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4535 is divided by 503.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose 0 = -2*v + 2, h*u = 5*v - 4*v + 211. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.53. Let v = 0.17 - g. Let y be 4\/(-14) - 33\/105. Which is the biggest value? (a) v (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 17726 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + (sqrt(25) - sqrt(50)\/sqrt(2)) + sqrt(25))*5 - sqrt(1600)*-2)\/(sqrt(55)\/(sqrt(33)\/sqrt(3)) + (sqrt(5) - sqrt(20))*4).\nAnswer: -26*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23 and 1834.\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -1\/3*t**3 + 0 + 3*t - 1\/70*t**5 + 1\/140*t**6 + 1\/84*t**4 + 0*t**2. Let z(c) be the second derivative of s(c). Factor z(a).\nAnswer: 2*(3*a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4092555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 1\/2, 3\/2, 3, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w - 163. Let l be x(15). Let p = -12 + 5. Let f = p + 9. Solve -l = -f*v + 8, -5*v + 50 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-11)\/(-1001)*14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*((1 + -1 + sqrt(1700))**2 + -3).\nAnswer: -10182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9753, -9755, -9757, -9759, -9761, -9763?\n\"Answer: -2*h - 9751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 3*j. Let a(b) be the second derivative of -b**4\/12 - b**2\/2 - 4*b + 1164. Determine a(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 761546721 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1723*u - 396300. Determine l(230).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 36 = -5*y - 11, 3*y = -3*f + 15. Let k be ((36\/30)\/2)\/((-18)\/(-20)). Let t = -1 + k. Which is the nearest to 1? (a) 0.3 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10692 and 4134240.\nAnswer: 12402720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1\/35, -152, -6, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -522442563?\nAnswer: 522442555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*o + 755 = 0, 3*r = -526*o + 528*o - 454. Which is the second biggest value? (a) -5 (b) 2\/9 (c) 5 (d) r (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**5 + 0*w**3 + 0 + 0 - 2*w**5 + 0*w**5 + 2*w**5 - 4*w**5 + (-w - 2*w + w)*(w**4 + 0*w + 0*w) - w**5 + 2*w**5 + 0*w**5 + 0*w**5 + 2*w**5 + w**5.\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(sqrt(891) + 3)*4 + -5)**2*4*-5.\nAnswer: -4602420 - 259200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-17 - (-19 + 3))) + 4 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18070 = 343*s - 143*s + 277*s + 218*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-2827)\/1285)\/((1 + -2)\/(-15))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.155468 and -0.058.\nAnswer: -0.009017144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -179568 (base 10) in base 14?\nAnswer: -49624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 135 = -607. Suppose -2*w + 0*w + k = 0. Let u = -26 + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/2 + 2*b**3\/3 + 13*b**2\/2 + 19*b. List the prime factors of l(-6).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 4*l + 4. Let a = -2 + -2. Let m be y(a). Let p be (8\/10)\/((-2)\/(-25)). Solve m*o + p + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8 + 22*u + 10 - 8*u - 30*u. Calculate the remainder when 195 is divided by n(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/5 + 74*j**4\/5 - 8266*j**3\/5 + 139334*j**2\/5 - 254176*j\/5 + 123032\/5 = 0. What is j?\nAnswer: -91, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12318 - 12318. Let x(o) be the third derivative of 9*o**2 - 1\/60*o**6 + t*o**3 + 0 + 0*o - 1\/3*o**4 + 2\/15*o**5. Factor x(c).\nAnswer: -2*c*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 18\/(-10))\/((-2)\/5). Suppose 5*c - 4*i - 33 = 0, p = 5*c - 2*i - 27. Solve -r + 2 = c*k - 9, 2*r + 5 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 4 = 0, 2*o - 4*v = -116. Let p be (4\/8)\/(o\/(-81)). Let m = -1\/120 + p. Which is the smallest value? (a) m (b) 1\/6 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1414372, 1414383, 1414394, 1414405, 1414416?\n\"Answer: 11*u + 1414361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + 0*k + 5*k**3 + 13*k + 18*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -2*i, 4*y + 8 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4671a03 - 2?\nAnswer: 4671a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 3640941*k + 4*k**3 - 3640941*k.\nAnswer: 4*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -14 (c) 0.1 (d) 1 (e) -3 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - 4563315*t**3 - 2*t**2 + 17838968*t.\nAnswer: 12*t**2 - 27379890*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-850 - 205*s + 850)*(16 - 16 - 3*s**3) to r*s**2 + a*s**3 + g + j*s**4 + u*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w - 35 = -83*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 39*j**4 - 186*j**2 - 3*j**5 + 4*j**3 - 102*j**4 + 611*j**4 - j**5 - 362*j**2 = 0.\nAnswer: -1, 0, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let o be ((-18)\/(-36))\/(p\/(-2)). Let c(d) = -11*d**2 + d + 1. What is c(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695640 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/3 (b) -0.053 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/x**2)\/x)**(-50))**(6\/13))**(-46) assuming x is positive.\nAnswer: x**(-13800\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223262 and 2418.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from rrdhhhidrhrrihd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o - 4 - 12*o**2 - 2*o**2 + 13*o**2. Suppose -2 = -5*y + 23. Give a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -9\/5 (c) -3 (d) -1\/115 (e) -4.2 (f) 3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -9*z**4\/4 + 5*z**3\/3 - 1. Let w(a) = 5*a**2 - 3*a**2 + 82*a**3 - 78*a**3 - 4*a**2. Calculate 5*w(i) + 2*y(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.5. Let f = 190.5 - 191. Let m = f - i. What is the closest to -1 in m, -1\/6, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93922*z + 281763*z + 5*z**2 - 93918*z - 93923*z - 7*z**2 - 4*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 + -131. Suppose -3*a - u*n = -277, -652 + 187 = -5*a - 4*n. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -8\/5 (b) -2\/19 (c) 0.1 (d) -29 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**5\/5 - 967*k**2 + 2368*k - 943. Differentiate g(i) with respect to i.\nAnswer: 8*i**3 - 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {j: 2, o: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 7) in base 12?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/2 - 69420*r + 803189400 = 0?\nAnswer: 23140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-21)\/(-2)) + 8\/4 + (-88)\/168\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from zsrgjcj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1832 - -43077.\nAnswer: 41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and -0.458.\nAnswer: 0.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 7*w - 6. Let h be a(5). Let k be (-3)\/11*h\/(-24). Let b = -409 - -406. What is the biggest value in b, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6527, 25393, 56827, 100829, 157399, 226537?\n\"Answer: 6284*f**2 + 14*f + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(91)\/(sqrt(7) - sqrt(7)*3 - sqrt(7) - sqrt(7)) + sqrt(13) + -4*(-1 + sqrt(1872)).\nAnswer: -189*sqrt(13)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5 = 2*o, -6756*o + 11 = 5*t - 6759*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*1)**2*2 - (3 + -1*sqrt(320)) - ((1*sqrt(275))\/sqrt(5))\/(sqrt(99)\/(sqrt(9)*-1)))*-2.\nAnswer: -1274 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 37 = -33 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/8*(113 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*h = 6, 2*v + 6 = -v - 3*h. Are -0.1135 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 30 = -2*w, 4*w + w = -u + 89. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 0 in increasing order.\nAnswer: 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -440, -2252, -4928, -8468?\n\"Answer: -432*c**2 - 516*c + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:29 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (108\/243 - 4\/(-18))\/((-14)\/6). What is the nearest to w in 3\/13, -6.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60231 at most -60265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrur when four letters picked without replacement from rcrcccccrrrrccurcur.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1387759 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + (3 - 3) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -112*w + 335. What is a(5)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -7432.346?\nAnswer: 7432.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 315504 divided by -21\nAnswer: -15024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 294276? (a) -2\/7 (b) 4 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**4 - 18*z**3 - 44*z**2 + 54*z - 6. Let q(g) = -g**4 - 2*g**3 + 2*g**2 + 9*g - 1. Let h(i) = k(i) - 6*q(i). Factor h(a).\nAnswer: 2*a**2*(a - 7)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -388*w - 938. Determine s(-3).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h + 12*h - 13*h + 0*h**2 - h**2 + 6. Let r be j(7). Let c = -4\/73 + 214\/1241. Sort c, 3\/4, r.\nAnswer: r, c, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*-8*15*(-6)\/(-792)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 555, 1113, 1681, 2265, 2871, 3505?\n\"Answer: n**3 - n**2 + 554*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30260.\nAnswer: 2, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10964\/41 <= -268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -16. Let d(s) = -2*s + 28. Let m = 25 + -11. Let p be d(m). Put r, 1, p in increasing order.\nAnswer: r, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/594*((-15)\/(-10))\/(9\/(-8))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2919 and 9?\nAnswer: 8757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 27*q**2 - 37*q + 206. What is v(28)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81 and 96216.\nAnswer: -7793496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 826934 and 1650?\nAnswer: 682220550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 603276187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161516 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 30*p**2 - 65*p + 667. Give j(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*v - 156*v + 541 + 215 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 35 (c) 1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 5. Let m(a) = 1. Determine 5*m(l) + o(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, w: 4, x: 2, b: 1, y: 1, p: 1}. Give prob of sequence kkwx.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3 + 9*q**2\/2 + 4*q - 843. What is l(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + l + 2. Let d be s(4). Suppose r - 43 = n + d, -2*r + 125 = -n. Let k = r + -54. Solve -2*c + 5*c - k = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 2440*c\/3 + 1488400\/3.\nAnswer: (c + 1220)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let r = 30 + -28. Which is the closest to r? (a) 4 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s. Let n be 12*(19\/(-10) + 2). Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25461.35, -0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*-1) + 2.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17736.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*c - 228*c + 782*c - 270*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 540 + -545. Which is the second biggest value? (a) x (b) 19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/1*170\/2635*-31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 72*h + 1. Let j be t(-1). Let c be (j - (3 - 0)) + -1. Let w be (-385)\/c + ((-56)\/(-30) - 2). Solve -5*i = -3*o - o + 40, -w*o + 25 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795151?\nAnswer: 7, 29, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 2*f - 120 + 8*f - 5*f.\nAnswer: -f - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 8) in base 2?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*b - 5, 0 = 3*b - 10 + 16. Solve 0*i + 25 = i + 5*m, n*i + 5*m = 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*d - 12 = 0, 3*s + d - 3 = -0. Let f be (15\/10 - s)*(-1 - 1). Sort f, 3, 1 in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/140, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -27*q**2\/2 - 3*q - 3. Let b be l(-1). Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + l. Let j be 5*3*16\/60. Let s be b(j). Suppose -s*h = 5044803 + 595197. What is h rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 (base 5) in base 3?\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-26) + 106500\/195 + -1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3167*a - 27822 = 165555 + 9311 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13758 less than 0.2?\nAnswer: -13757.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + 145. Let o be v(-19). Does 53 divide o\/2 + (-51891)\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 1\/(-2) - 858\/(-52)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 1501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231123639.\nAnswer: 3, 1097, 70229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 89. Suppose 0 = 4*u - 3*q - 117, 0 = -5*u + 5*q + 84 + i. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgsgsssffff. Give prob of picking 1 g and 1 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Suppose 5*i + 6 = 31. Is i bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204 - -216 - (21 + 3)) + -26 + (-1 - -2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 12*h - 20 = 0. Let w be -1 + (h + -2)*-1. What is the units digit of ((-2)\/w)\/(2\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 734896?\nAnswer: -2939584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 1.2. Let c = -1163400.3999987 - -1163400. Let n = k - c. What is n rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -63\/8 (b) 4 (c) -4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 1488 - 1714 - 3*l in the form h*l + t and give t.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867798.9t to micrograms.\nAnswer: 867798900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-5) + 16\/20. Suppose -4*u + 12 = 4*a, q*u + 0*u - 6 = 0. Solve -2*s - a = 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36726742 by -1412567.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -517766 times 53\nAnswer: -27441598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979875.\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + sqrt(21))\/sqrt(7) - (sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(9)\/(sqrt(300) + sqrt(3)) + sqrt(3) - sqrt(3)) - sqrt(3))).\nAnswer: 78*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4995575 and 2427.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/13 (b) 0.3 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 495670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.87, 2, -6\/11, 5, 2\/5 in ascending order.\nAnswer: -6\/11, 2\/5, 2, 5, 8.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {w: 2, i: 1, m: 8, s: 2, k: 1, l: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -909 divided by 36.\nAnswer: -101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12) - (-18)\/36. Which is the smallest value? (a) t (b) -1\/9 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -92. Let q be (-1)\/4 + (-13062)\/(-24). What is the remainder when q\/(-24)*y\/4 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -3*s. Suppose 5*g = -a - 11, -g - s = -a + 1. Suppose -j - a*f = f, j - 2*f - 7 = 0. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o**2 + 2*o + (o + 0 + 0)*(2*o + 1 - 1) - 315131 + 42*o**2 + 315131.\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*y**3 - 52*y**3 + 5*y**3 - 1.\nAnswer: -43*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409317 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -134*x**2 + 2006*x + 2140 = 0. What is x?\nAnswer: -1, 1070\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 31. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 = 692\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6878, 13755, 20634, 27515?\nAnswer: 34398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.219355 centuries in months?\nAnswer: 263.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106313200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.086 in -6\/5, -9, 3, 88, 8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 82*y\/7 - 12.\nAnswer: 2*(y - 42)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 45*y + 772. Determine v(15).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4635\nAnswer: 463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -4, 13, 17, 795?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 140. Let b be w(-8). Let g be b\/6 - (-148)\/(-111). Which is smaller: g or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 6*w**5 + 4*w**4 - 58*w**3\/3 + 4*w**2\/3 + 40*w\/3 - 16\/3 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463085 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m - 131*m - 1 = -3*x, -4*x + 32 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from zxzzwwzwzzwzwwz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, -4, -0.05, 2, 0 in ascending order.\nAnswer: -210, -4, -0.05, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 4*x = m + 14, -5*m - 5*x - 45 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1.1, 6, -6, 14?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2285 divided by -457?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 378\/22 - 24\/132. Suppose 16*x = j*x - 70. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*i**4 + 6*i**3 + 0 + 72\/5*i**2 + 0*i.\nAnswer: 2*i**2*(i + 3)*(i + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 17 = -81. Suppose -18*u + 14*u - a = 0. What is the units digit of 49 - 4*(-2)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3947b + 5?\nAnswer: 39482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -181*a - 6. List the prime factors of t(-7).\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szzx when four letters picked without replacement from xzzzzxxzssxz?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 8 = 0. Let i(v) = v**2 - v + 2. Let w be i(c). What is the tens digit of 2\/6 + (18496\/12)\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -102200211?\nAnswer: -102200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 1. Let d(u) = -13*u**2 - 2*u + 2. Let t(v) = -d(v) + 3*r(v). Let f be t(1). Suppose 2*a = 4*b - 0*b - 244, -f = 4*a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 2*t**2 + 5*t**2 + (-2 + 3 + 0)*(-t + t + t**2) - 2*t**2 + 1 - 1 + (0 + t + 0)*(t - t - t) - t**2 + t - t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y + 2. Let k(q) = q**2. Determine a(k(t)).\nAnswer: 16*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -1, 63 = 2*q + v. Suppose 5*n - q + 3 = 0. Suppose -n*t + 160 = -4*t. Calculate the highest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6679023 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 306 - 514 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666 by -111.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 139*d = -136*d - 19, 3*d = -4*g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636318540 to the power of 1\/3, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15*(-84)\/(-14)*(-21)\/(-1386)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 1, d: 1, i: 1, j: 1}. Give prob of picking 1 d and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399554134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (19 - 38) + (0 - -21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -93, -2, -6 in descending order.\nAnswer: 2, 1, -2, -6, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*k + 25, 2*k + 7 = -4*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 2*a**2 - 452*a - 2720.\nAnswer: 2*(a - 17)*(a + 8)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvk when four letters picked without replacement from {v: 3, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 2328\/635?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = o. Suppose 5*t + f = 7, -o*f = 3*t - 0 + 3. Determine a so that -3*a**4 - 9*a**4 + 10*a**4 + t*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -435, -312, -3, 2 in descending order.\nAnswer: 2, -3, -312, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 1 - g - 16*g**3 + g. Suppose -1968 + 1955 = 13*h. Determine f(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03715 (b) 1\/10 (c) 3 (d) -42\/13 (e) -1\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 17 = -2. Suppose 2*n - 19 = -n + 2*t, -3*t + r = -n. What is the third derivative of 3*o**2 - 9*o + n*o + 3*o**3 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4*w + 16, 5*x - 2*w + 2 + 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.5. Suppose 2*n + i = 101, -12*i + 16*i = n - 46. Let r be 0 - (-5)\/n*4. What is the second biggest value in r, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c + 8 + 1\/1260*c**7 - 5*c**2 + 1\/90*c**5 - 1\/144*c**6 + 0*c**3 + 0*c**4. Find m, given that k(m) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g - 383 = -132 + 709 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-245)\/10) - 16086\/49. Let f = m + 352. Calculate the greatest common divisor of 120 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 5)*(-95*b - 6 + 70*b**2 + 42*b + 52*b).\nAnswer: 770*b**2 - 11*b - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 2670097.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235675283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(110)*-1*6)\/(sqrt(50)\/(sqrt(45)\/(sqrt(9) + sqrt(324)))).\nAnswer: 90*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 37. Suppose -2*r + 98 + 606 = 0. Suppose 539 + r = z*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -85. Let x(r) be the third derivative of r**4\/24 - r**3 - r**2. Determine x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359072655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/23, 14.4, 12, 0.6, -1232?\nAnswer: -1232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.6 and -981194.205.\nAnswer: -981200.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**2 + 0*u**4 + 29\/60*u**5 + u**3 + 0*u + 9. What is the first derivative of j(i) wrt i?\nAnswer: 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7985*v - 359?\nAnswer: -7985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846840 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4563 + 4566. Let x = 32 + -208. Let i = -697\/4 - x. Is l less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2 and -61\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40151526 + 2?\nAnswer: -40151524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 91 = -99. Let v be (5 - o)\/((-1)\/1). Solve -v*w = 2*i - i + 12, -w + 3*i - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14423104*m**2 - 22040244*m.\nAnswer: 28846208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173006607 less than -1.97?\nAnswer: -173006608.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {s: 1, b: 9, a: 4, o: 2, r: 2, i: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75, 72, 69?\n\"Answer: -3*j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21147590 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*j + 2 = -1, t - 26 = -4*j. Let l(m) = -3*m**2 + t*m**2 - 2 - m**2 - 2*m. Suppose 2*z - 4*c = -0*z - 16, 5*c - 15 = 5*z. Give l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/19 + 24338*i\/19 + 1295532\/19 = 0. What is i?\nAnswer: -53, 12222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -17*r**4\/24 - r**2. Let t(a) = -475205*a + 237602*a + 237607*a. Determine t(b(q)).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 5, d: 4, b: 1}. Give prob of sequence dy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.013529 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 3*y)*(-y**3 + 1 - 1 + (-2*y + 2*y + y)*(5*y**2 + y**2 - 4*y**2)) + 3*y**4 - y**4 - 3*y**4 + (-y + y - y)*(-1 + 1 + y**3).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4050 (base 8) to base 13\nAnswer: c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24334446 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2 + 5*x - 5. Let f = 126 + -119. Let c(k) = -f + 16*k**2 - 14*k - 17*k + 38*k. Determine 5*c(d) - 7*t(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4502?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. Suppose 2*r + z*r - 14 = 2*n, -3*r + 2*n = -11. Suppose -r*g + 628 = 3*b - 4*b, 4*b = -3*g + 623. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, z: 3, a: 1, s: 1}. What is prob of sequence za?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -935 - -928. Let y(q) be the third derivative of 0 + 2*q**2 + 0*q**3 - 5\/24*q**4 + 0*q. Let r(h) = 3*h. Determine g*r(d) - 4*y(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*c - 331*c = -174*c + 640 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.02 + 1.46. Let p = a - -2.46. Suppose 0*r = -2*r. What is the second biggest value in 2\/3, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 90 = 3*l, l + 24 = i + 55. Is l smaller than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 0 + sqrt(252) + 2 + 2*5*(0 + sqrt(252)))**2.\nAnswer: 792*sqrt(7) + 61002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39657367?\nAnswer: 67, 591901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/21*(-12)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7 - 16*k**2 - 3 - 4. Let m be (2\/4)\/((-8)\/(-32)). Let c(g) = -9*g**2 + 5*g**m + 3*g**2. Calculate w(c(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/5)\/(-1)*(-35)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - d**2 + 12 - 6 + 2*d**3 - 6 as b*d + n + h*d**2 + t*d**4 + a*d**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/18)\/5)\/(6\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28559118855 minus -0.2?\nAnswer: -28559118854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*z + 115 = 122*z. Solve 6*b - 5 + z = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.46 and -0.02.\nAnswer: -0.7092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085 divided by -7.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 1\/8*g**5 - 3\/2*g - 3\/4*g**4 - 1\/4*g**2 + 11\/8*g**3.\nAnswer: (g - 2)**3*(g - 1)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 9*u**2 - 13*u - 36. Let i be x(-8). Let q(s) be the second derivative of 0 - 1\/20*s**5 + 1\/2*s**2 - 2\/3*s**3 + s + 5\/12*s**4. Give q(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -50*z**4 + 9*z**3 - 65*z - 18. Let y(u) = -u**4 + u**3 - u - 2. Let v(f) = -2*i(f) + 18*y(f). What is the second derivative of v(m) wrt m?\nAnswer: 984*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 53, -1, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1242)\/252 - 30\/(3 + -9).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.935 - 4.065. Let d = -54 + 59.3. Let j = d + -0.3. What is the third smallest value in j, 3\/4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39017616 divided by -13005872.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g + 10*g - 5*g + 8*g + 10*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/3379879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 2*p + 13. Calculate b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(1700))**2 + (sqrt(1700) - sqrt(1700)*1*4)**2 + sqrt(1700).\nAnswer: -10*sqrt(17) + 17001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*h + 3*h - 4*r, -2 = -2*h + 2*r. Suppose h*q - 11599 = -7*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117)*-1 + -3))**2 + (sqrt(26) - 2*sqrt(26)*4)\/(sqrt(96)\/sqrt(3)).\nAnswer: 2585*sqrt(13)\/4 + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*u = 47, 0 = 283*r - 280*r + 4*u - 91 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1957*a**2 - 3*a - 2133. Let j(h) = -1958*h**2 - 4*h - 2133. Let t(m) = 3*j(m) - 4*k(m). What is the first derivative of t(c) wrt c?\nAnswer: 3908*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaappppyvaaavawpa. Give prob of sequence wv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 13, i: 4}. What is prob of sequence iiir?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 46 = 16*a. What is the second biggest value in -1\/8, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/11 = -275\/2457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2154 by -3.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -162296000 rounded to the nearest 1000000?\nAnswer: -162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 4.9. Suppose -6 + 0 = -2*m. Let z = m - 3\/2. What is the closest to 0 in v, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11013 - -333?\nAnswer: -10240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*n**3 + 20\/7*n**4 - 8\/7*n**2 + 0 + 0*n.\nAnswer: 4*n**2*(n - 1)*(5*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-9 + 6 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 less than -17440?\nAnswer: -17436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 14 - (1 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 85684.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.265 + -0.27.\nAnswer: 0.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 0*q)*(5*q - 2*q + 2*q + (1 + 1 - 1)*(-3*q + 3*q - q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*q - 16 = -41, 2*q - 14 = 4*w. Let l be (-1)\/(-5) + (-24)\/w. List the prime factors of (-5)\/(-3)*(l + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 - 3*x**2 - x**2 + (9*x + 3 - 3)*(3 - 2*x - 3).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10284\/12855)\/(4\/34)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:41 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4173\/18 + 1\/6. Suppose u = -u + h. Suppose 4 + u = 5*p. Solve 7 = -q - 2*f, -5*q - f = p - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-48)\/84)\/(2\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let c = -69.3 - -42. Let i = c - -27. What is the nearest to 0.1 in -0.05, i, m?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*q**5 - 2*q**4 - q**2 - 13 wrt q.\nAnswer: -2520*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1215 + 765.1215. Which is bigger: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125837 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/(5\/(-90)). Suppose j = 4*h + 2. Solve 8*t - 3*t - 30 = 2*o, -5*o = -h*t + 41 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**3 - 79*r**3 - 88*r**3 + 260*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11789 = -4*b + 47069, 3*r - 35266 = -4*b. What are the prime factors of b?\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14562 is divided by 175?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 7, v: 2}. What is prob of picking 2 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*n - 7, 4*n + 4 = -w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + 217. Let z = t - 315.9896. What is z rounded to four decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726939.7966 rounded to the nearest one thousand?\nAnswer: 1727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312280 + -52413. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -33. Let q = -8 - c. Calculate the remainder when 31 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/3 + 43123*q**2\/3 + 155789312*q + 17726177280 = 0. What is q?\nAnswer: -21504, -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 4*g - 2. Let d be z(-1). Suppose 0 = -d*c + 11*c - n - 976, -1000 = -5*c - 5*n. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/1260 + s**6\/30 + 11*s**5\/60 - 9*s**4\/2 - s - 10. Let i(n) be the third derivative of j(n). What is q in i(q) = 0?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-17248)\/(-3696))\/(((-2)\/(-12))\/(2\/(-8)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*u + 8 = -235*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 - 3 = 0. Let u be 8\/6*27\/g. Let h be 6\/(-30) + u\/20. Which is the second biggest value? (a) 1 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 21, 1, 16237?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 l when three letters picked without replacement from {s: 4, f: 4, l: 2, u: 1}?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023887 to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109 and 1.7352.\nAnswer: -189.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52901953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 + 5*p - 2. Let n be v(-5). Let c be (3 + 1)\/(0 + n). Find the common denominator of -4\/9 and 20\/c*13\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2\/7 (b) 5\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8652 + 11109. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(7\/3)*f*f*((f*f\/f**(-4\/15)*f)\/f*f*f)\/f)\/((f*f\/((f\/(f\/(f*f**4)))\/f))\/(f*f*f*f*f**(3\/7))) assuming f is positive.\nAnswer: f**(526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52026 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39814?\nAnswer: 2, 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.1. Let t = k + -0.2. Put -3\/8, 5, t in decreasing order.\nAnswer: 5, t, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16742635.\nAnswer: 5, 7, 13, 31, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20020 is divided by 5001?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -18?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejn when three letters picked without replacement from {j: 3, e: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/2)\/(9\/876). Let y be g\/(-22) + 4\/22. Let d = y - -195. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b + 1. Let z be l(1). Let k = z - 8. What is the third derivative of 2*p**4 + 2*p**2 + 2*p**3 - 2*p**3 + k*p**3 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*-3*1*sqrt(112))**2 + (-1*1*sqrt(112)*-1 + -5)**2 + 0.\nAnswer: -472*sqrt(7) + 36434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.29146 to 2 decimal places.\nAnswer: 14.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -239.614.\nAnswer: -5750.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7*-0.7\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 4*v + 13, 27 = 5*s + 3*v. What is the units digit of 2\/(-4)*(-3 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 689 = 697. List the prime factors of k.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -22*j + 510. Let t(b) = 5*b - 128. Calculate -2*m(w) - 9*t(w).\nAnswer: -w + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:46 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:57 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1934323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14200*i**3 + 12060*i**3 + 884*i**2 - 97*i**2 wrt i.\nAnswer: -12840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43\/8 (b) 18 (c) 13.9 (d) 2\/9 (e) -6\/11 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + -42494)\/((-9)\/(-18)). Round c to the nearest one thousand.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 779 = -4*y - 271, 2*y - 68 = -2*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(110) - (sqrt(110) + sqrt(110) + -1*sqrt(110))) + sqrt(110))\/sqrt(10) - (5 + -2*sqrt(11) + -1))**2.\nAnswer: -24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 3 - 11*n**3 + 4*n**3 + n**3 in the form p + y*n**2 + z*n + l*n**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/12801012 and 11\/56.\nAnswer: 25602024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121021 (base 3) in base 13?\nAnswer: 6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 + (-7)\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/170 and -103\/544.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 950562*h**5 - 26*h**2 - h - 4655.\nAnswer: 57033720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 12 = -18. Sort u, -10, 1.\nAnswer: -10, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128477759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 6. Let n(x) = -18*x. Calculate l(n(g)).\nAnswer: 2268*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - d**3 - d**3)*(1 - 7 + 2) - d**3 + 0*d + 0*d.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -153. Suppose 38 = r*f - 78. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -76, -78?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*g)*(-3 - 2 + 4) + 2 - 2 - g + (15 - 3 + 0)*(-8*g + 0*g + g) - 2*g + 2*g + 2*g in the form f*g + d and give f.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 81, 124, 169, 216, 265?\n\"Answer: p**2 + 38*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399.3 + 383. Let n = 2.3 + u. Let a = -11 - n. What is the closest to a in -3, -2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -460b?\nAnswer: 4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -1. Let m be (-220)\/(-6) - 8\/k. Suppose m*w + 156 = 40*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -8. Which is bigger: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1*n)**26\/((n\/(n*n*n**(2\/15)))\/(n\/n**(-14))))**24 assuming n is positive.\nAnswer: n**(11296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-3) - ((-2)\/(-8))\/(101\/(-3636)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 155980 to the nearest 1000.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (4 - (-1 + 2)). Let i be -14*(2\/l + -1). Is i greater than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 13725210?\nAnswer: 4\/6862605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -4?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 20*i**5 - 2776*i**4 - 30260*i**3 + 74200*i**2 + 30240*i - 71424 = 0.\nAnswer: -12, -1, 1, 2, 744\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812157423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**4 + 12*m**3 + m**2 + 3. Let w(c) = 6*c**4 + 14*c**3 + 2*c**2 + 2*c + 4. Let n(r) = 4*v(r) - 3*w(r). Factor n(s).\nAnswer: 2*s*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)*(-3)\/(-9). Let l = 6 + f. Suppose l*n - 243 = 3*b, -5*n + 2*b = 5*b - 237. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 27. What are the prime factors of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 250*x**2. Let z(q) = -11*q**2 + 6. What is p(z(n))?\nAnswer: 30250*n**4 - 33000*n**2 + 9000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 7*r + 18*r)*(-56 + 159 - 46 - 4990*r - 57).\nAnswer: -79840*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-10)\/15*3. Solve -7 = -t*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.29 (b) 2 (c) -52207 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - n - 4*n**2 - n**2)*(3*n**2 + n**2 - 6*n**2) + 12*n - 6429*n**2 + 6429*n**2 + 7*n**4.\nAnswer: 5*n**4 + 2*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2881251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3366 and 198.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -10\/3*h**3 - 3\/4*h**4 + 0*h**2 + 16 - 8*h. What is the first derivative of j(g) wrt g?\nAnswer: -9*g**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1362\/902693 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.3. Let g = 73 + -73.32. Let t = g - -0.12. What is the biggest value in t, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = 5*j + 22*q, 751 - 758 = -3*j + 2*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 478 - 478.0513. What is c rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11364.469 to the nearest 10.\nAnswer: -11360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 65*v**8\/336 - v**6\/120 + 5*v**5\/12 + 5*v**2 + v. Find the third derivative of q(a) wrt a.\nAnswer: 3900*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2938*-0.02454.\nAnswer: -0.056289852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2.2, 5, -588?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:43 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -2bc?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, 2\/7, 6, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + sqrt(7))*-1 + (4*sqrt(343) - sqrt(7)) + -5 + sqrt(70)\/(sqrt(10)*1) + -2).\nAnswer: -30 + 81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from mmummxqmxummm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188469325 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 = 0, 0 = -4*g - 67*s + 71*s + 8. Let r = -2 - 2. Let j = 1 - 2. Put r, j, 0.5, g in descending order.\nAnswer: 0.5, g, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**5\/12 + 5*v**4\/24 + 3*v**2 + 6. Let g(l) be the second derivative of x(l). What is the second derivative of g(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80376 by -20094.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-171.42146.\nAnswer: 3257.00774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14968 is divided by 2491?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*(-4)\/12*(-497)\/(-21). Let z = 414 + w. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.6744 days in minutes?\nAnswer: 970091.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1a1?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183 - 185. Calculate the common denominator of ((-2482)\/6528)\/((n\/(-4))\/1) and -28\/9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l - 2. Let h(b) = b**3 - 25*b**2 + 45*b + 21. Let v be h(23). Give y(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2231992342.\nAnswer: 2, 83, 13445737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or -59?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 319*m**4 + 6106*m**3 + 37870*m**2 + 58261*m - 102557 = 0. Calculate m.\nAnswer: -299, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose -6 = f - c*f. Solve -f*t - 2 = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*3)\/(sqrt(12) - (sqrt(36)\/sqrt(3) - sqrt(12) - sqrt(12))*-3).\nAnswer: -21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - -1 - -1) + (-1643)\/(-583) and -33\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/751196 and 21\/20?\nAnswer: 3755980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + 5. Let f = 58.32 - v. Round f to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 + a0b3?\nAnswer: a038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, h: 1, u: 5, f: 3}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/27713784 and 29\/101617208.\nAnswer: 304851624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4615943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 267624146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. Let i = 2 - a. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y - 6. Let u be w(5). Let r = 6 - u. Is r - (1 - 7)*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 27 = a - 5*v, 5*v = -25. Suppose -f - 10 = a*s + 1, 0 = 3*f + 2*s + 17. Let r be 1*f*4\/3 + 5830004. Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 0.897?\nAnswer: 0.897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49480 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/5 + 3*y**4 + 56*y**3\/5 - 72*y**2\/5 - 432*y\/5 + 432\/5 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohdddnnoodw. Give prob of sequence hw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 18 + 4 + 4*u**2 - 10 + 5 - 23*u - 5. Determine j(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 31*u**3\/6 - 107*u + 95. Let x(t) be the first derivative of k(t). Let b(v) = -v - 2*v + 2*v. Calculate x(b(r)).\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013986633 rounded to seven dps?\nAnswer: 0.0013987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m - 160 = 0. Let a = 768 - 822. What is the remainder when m is divided by ((-297)\/a)\/((-2)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 3*i**3 + 5*i - 6 - 4*i**3 + 2*i**2. Let y be t(3). Sort y, -6, -5.\nAnswer: -6, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -1\/4, -3\/11, 37, 1780\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99695, -97284, -94873, -92462?\nAnswer: -90051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1\/3, -2, 140, -9, 1\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1662*p - 9 + 9 - 2910*p - 3616*p to the form n + d*p and give d.\nAnswer: -8188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -120. Solve -h + g*h - q = 3, 5*h = 5*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(304) - sqrt(304)) + 5 + sqrt(304) + (sqrt(304) - (sqrt(304) + (sqrt(304) + 2*sqrt(304))*4)) + (sqrt(304) - (sqrt(304)*1 + 2)) + 3)*6.\nAnswer: -264*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/(-18)*4*10\/12.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 + 32 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 1) - (1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21221796 - 956.72\nAnswer: 21220839.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y + 26. Let j be i(-3). Does 4 divide j\/(-21)*(-3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -406*w**2. Let v(j) = 11*j. Calculate k(v(u)).\nAnswer: -49126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2640, -5094, -7548, -10002?\n\"Answer: -2454*b - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 223 - -4?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 5 (b) -11\/9 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3269 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020 divided by 1?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t - t)*(-t + t + 3*t**2).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -7\/19 in decreasing order.\nAnswer: -7\/19, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + 2*a**2 - 1. Let z(t) = t**2 - 2. Let q be z(2). Let i be (-4 - -2)\/q + 0. List the prime factors of y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + l**2 - 31 + 31 + (1 + 2*l - 1)*(-4*l + 4*l + l).\nAnswer: 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211710*c*v**2 - 2*c*v + 48781*c - 4*v**2 - 4*v + 20 wrt v.\nAnswer: -423420*c*v - 2*c - 8*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/3 + 2833*b. Let w(j) = -2936*j. Calculate w(l(y)).\nAnswer: -5872*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 2\/5, -1, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 14*r + 17. Let p be i(-13). Let x(o) be the second derivative of 0 - 5\/2*o**2 - 1\/20*o**5 + 4*o + 1\/2*o**p - 1\/3*o**3. Give x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -1.6. Let l = 0.2 - 0.3. Let x = l + 0. Which is the nearest to -1? (a) x (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-1)\/(25\/40))\/(18\/(-45)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10da17 (base 15) to base 2.\nAnswer: -11000100101010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1715.62 * 0.5\nAnswer: -857.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -3*a**2 + 6*a + 18. What is the hundreds digit of d(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/17 + 20*z**3\/17 - 2*z**2 + 16*z\/17.\nAnswer: -2*z*(z - 8)*(z - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 3:12 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1186 (c) 1\/6 (d) 2\/5 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -12. Let u be 23\/4 + (-30)\/40. Suppose 0*k - 4 = -5*v - f*k, u*v + 4 = 4*k. Which is the second smallest value? (a) -4 (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2000.4 + 1999. Which is the closest to -3? (a) 1\/3 (b) -8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -116, -177, -252, -335, -420, -501?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 60*z**2 + z + 74. What is the remainder when 807 is divided by c(60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1382 (base 10) to base 8\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628725 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose 4*f = -n + 24, 5*f - p*f + 38 = 2*n. Suppose -4*l - l = -n. What is the remainder when 6 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f + 7. Let h(k) be the second derivative of -49*k**3\/6 + 10*k**2 - k. Let t(i) = 2*h(i) - 7*p(i). What is the first derivative of t(u) wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h. Let i(b) = -1384300*b**2. Give v(i(t)).\nAnswer: 23533100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwwwwwxzwwwwwxzzw. What is prob of sequence wxxz?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 1445247*g + 1445247*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 105*y**4 + 3390*y**3 + 4410*y**2 - 30267*y - 31185 = 0. Calculate y.\nAnswer: -55, -3, -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1352 and 23\/208?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + o - 3)*(3 - 3 + 4)*(0*o**3 + 2*o**3 - 3*o**3)*(4 - 2 + 2) to g*o**3 + t + r*o**4 + s*o**2 + b*o and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(4\/3)*m*m\/(m\/(m\/(m**(2\/9)\/m)*m)))\/(m**(-1\/3)\/m)**(-26))\/((((m*m**(-4)*m)\/m)\/m*m)\/(m\/(m*m**(-5))))**(-4\/29) assuming m is positive.\nAnswer: m**(-8437\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -403, -402, -401?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 3, -0.1, -35\/3, -1, -16, 0.2?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - j + 1521 = 0, 1020 + 2030 = 2*o + 4*j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-71)\/(-2) - 13) + (-4)\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2777800 and 2408?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 - 7*m - 6. Let h be c(-4). Suppose h*l - 5 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16511*r + 313708. Determine p(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15*(-38432)\/(-336)*(-1 + -6)?\nAnswer: 2, 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(3200) - -1*sqrt(3200)) + sqrt(3200))\/(sqrt(20)\/sqrt(2)*-1)*2 + 0)**2*5.\nAnswer: 518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(-35))**(-13) assuming a is positive.\nAnswer: a**(455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m + 8. Is (-4)\/((-12)\/663) + m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 smaller than 22092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23660743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 66*f**3 + f**4 - 8*f + 9*f + 7 + 4 to m*f**4 + j*f**3 + g*f + y + h*f**2 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300566 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 125, 144, 163, 182, 201?\n\"Answer: 19*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25142 + -24619.44. Round s to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 22*u - 2. Let c be (-4 - -1)*(-112)\/(-21). Let q = c - -17. Is 2 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 574 = -23*x - 2565. What is the fourth biggest value in 0.06, x, 1\/4, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 + a**4\/8 + a**3\/2 - a**2. Let t be f(-3). Suppose 4*b - 25 = -2*o + 23, t*o = -2*b + 64. Solve 4*r + o = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 131*k**2 + 2718*k + 402. What is h(-105)?\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*f - 428, 0*f = -2*o + f + 218. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-28))\/(13\/117). Let c(j) be the first derivative of 16 - q*j**2 - j**3 + 12*j. Determine h so that c(h) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:30 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2163158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28255 is divided by 4348.\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/4)\/(15\/(-30)). Let b(j) = j**3 - 14*j**2 + 12*j + 16. Let n be b(r). Suppose -m - 8 + n = 0. Let a(x) = 2*x - 3. What is a(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -59. Suppose k + 4*j = 4, u*k - j = 2 - 3. Let x = 0.3 - 0.5. What is the closest to 2 in -2\/3, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2*b. Let s be u(-2). Let v be -9 + 6 + (20 - s). Let z be (2*1)\/(v\/858500). Round z to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 6*p + 1. Let l be 3\/(-8 - 1)*0. Suppose -v = -l - 3. Suppose h = -c - 0*c + 5, 3*h - v*c - 15 = 0. What is b(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96 and 65\/6528?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364695?\nAnswer: 5, 191, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-59 - -58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -13. Let c = f + 13. Let b = -12 + c. What is the biggest value in -1\/10, b, -2\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 at least as big as 1511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 9}. Give prob of picking 2 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 4*m - 126 = 3*f, 0 = 2*f + 4*m + 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 21*i**2 - 18*i - 40. Let s be ((-4)\/(-3))\/(7\/315*3). Let b be v(s). Sort 4, -44, b in increasing order.\nAnswer: -44, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(1*-36 + 2). Let b = 38 + l. Suppose -d = b*d - 0*d. Is d bigger than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:50 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 21 = w. Let a(n) be the second derivative of 1\/2*n**3 + 0 + 3*n**2 - w*n. What is a(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 - l + 7. Let r be b(5). Suppose w + r*w - 2*o - 76 = 0, -o + 79 = 3*w. Let x = -16 + w. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 157 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46458652?\nAnswer: 2, 11614663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10448705 is divided by 148?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, z: 2, s: 1, q: 2}. Give prob of picking 1 q, 1 u, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -4 (c) -14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 505269110 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 - (-69 - (-35 - (22 - 38))))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156450949\/6 or -26075159?\nAnswer: -26075159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 22*c**2 - 56*c - 79. Is p(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 14. Suppose 2*g + 4*l - 17 = 3*g, -20 = -5*g - l. Find the first derivative of -2 + 0 + 2*f**h + g wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 183417.1 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 216 = -15*b. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1329, -0.4, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 839956072 to the power of 1\/2, to the nearest integer?\nAnswer: 28982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s - 513 = 5*p, 3*p + 303 = 3*s. Let n = 106 + p. Suppose -3*w + 4*z + 39 = 0, 2*w + n*z = -0*z + 26. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399806423 to the power of 1\/3, to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 5 - 5)*(-6*t + 44*t + 145*t - 15*t).\nAnswer: 672*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2 - 334*l + 138. Calculate z(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 28. Suppose 6*y + 5*t + h = y, y - 5*t = 26. Suppose 38 = -0*m + 2*m. Solve 5*k - y = m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + g - g)*((-2 + 0 + 3)*(g**3 + 0*g**3 - 2*g**3) + 5*g**3 - 58 - g**3 + 57).\nAnswer: -21*g**5 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 7*x - 6. Let y be -4*4\/12*-3. Let f be a(y). Find the second derivative of p - f*p**3 - 2*p + 4*p**3 + 0*p**3 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38640 and 5040.\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 10*m + 9. What is t(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123628007 to the power of 1\/2, to the nearest integer?\nAnswer: 11119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*l - 6 = 3*w, -4*w + 2*l + 10 = 0. Let h be 1 + 1 - (-9 + 9). Put w, h, 5, -5 in ascending order.\nAnswer: -5, w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - 11*o**4\/24 - 5*o**3\/3 - 5*o**2. Let l be y(12). Differentiate -5 + 8*f**l + 1 - 5*f**2 + 0 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22555 and 2422060.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 - 59*y + 7. Calculate z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 - -11.02. Let o = f - 9.9898. What is o rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 173*n - 172*n + 118 as c*n + j and give j.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1272 and 102078.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 - 4090*c**3\/7 + 2830278*c**2\/7 - 690669694*c\/7 + 19335149504\/7.\nAnswer: 2*(c - 671)**3*(c - 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + l**2 + 1. Let m be p(0). Let z be (-108)\/(-48) + 2\/(-8). What is the units digit of m + (-1)\/z*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8667\/4 - 2167. Let s = -0.18 - -0.2. Let t = 0.42 - s. What is the nearest to 0 in -1\/8, m, t?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2728 and 388058?\nAnswer: 1552232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*k**2*o**2*y**3 + 43*k**2*o**2 - k**2*q*y**2 + 236*k*o**2*q*y + 3*k*o*y**2 - 15*o*q*y**3 + 11*q*y**3 wrt y?\nAnswer: -126*k**2*o**2 - 90*o*q + 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/26 - 36\/104)*-254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n**3 + 8*n - 5\/2*n**5 + 0 + 8*n**2 + 14*n**4 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 10*f + 17. Let r be k(-12). Let t = r - -10. Solve o + t = -2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 135*x + 13122 = -66*x - 6079 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*u - 531*u - 1881*u.\nAnswer: -2168*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6056 + -6046.482. Let k = -0.218 + m. Let z = k - 9.300252. Round z to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79222030 to the power of 1\/2, to the nearest integer?\nAnswer: 8901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5*d + 13, -3*u + 4*d - 6 = 0. Let o(q) = 4*q + q + 2 + u. Let p(w) = 6*w + 7 - 2*w + 8*w - 3*w. Give 7*o(r) - 4*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 3872, 8698, 15452, 24134, 34744, 47282?\nAnswer: 61748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 76593616.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 313341451 (base 6) to base 10\nAnswer: 5487655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-40) - (-195)\/(-520)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r**(-5\/2)*r**(-2\/69)\/(r*r**(-1\/10)))**(-2\/9) assuming r is positive.\nAnswer: r**(6506\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -22041854.\nAnswer: 1\/11020927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 411, 30, -659, -1656, -2961, -4574, -6495?\n\"Answer: -154*k**2 + 81*k + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-6))\/3*(-20)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfynbpbbb. What is prob of picking 1 n, 1 y, and 1 p?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3627, 7176, 10725, 14274, 17823?\n\"Answer: 3549*u + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4657473*n - 44 = -4657475*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 90*t**2 + 2*t + 1. Let b(h) = 89*h**2 + 2*h + 2. What is 3*b(y) - 2*i(y)?\nAnswer: 4*y**3 + 87*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r**(-6\/5)*(r\/r**(2\/5))\/(r\/(r\/r**(2\/15))))**(5\/8) assuming r is positive.\nAnswer: r**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -906 - -2309. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12361 + 1?\nAnswer: -12360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10670 - -949642\/89. Suppose -2*f + 4 = -b, -3 = 5*f + 2*b + 2*b. Is j less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/1932 and 85\/477756.\nAnswer: 3344292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 2)*4\/6. Let k(v) = -2*v - 9. Let c be k(-4). Let r = c - i. Is r <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -81*v - 8. Is 16 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 32185765.58477.\nAnswer: 32185761.58477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g = 163 + 77 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 97000832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13 - 48 = -5*m, 9 = 3*v - 2*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 10*v**2 + 54*v + 407. Let r be t(-9). Solve 4*m + d = -d - 18, 4*d = -r*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 25*(2 - 80\/(-25)). What is the greatest common divisor of 52 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 17. Let s = -19.2 + -3.8. Let o = s - x. What is the third smallest value in -1\/2, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120220020220111 + 12?\nAnswer: 120220020220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.087*-144126.\nAnswer: 12538.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, i: 9}. Give prob of picking 2 a and 2 i.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77))))*4 + sqrt(77) + sqrt(77) - sqrt(77))*-4*6)\/(sqrt(220)\/((sqrt(50)*-2)\/sqrt(10))).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 12) to base 10.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*-4*1. Let v = 7 - 0. Suppose 2 - v = i. Put 0, y, i in decreasing order.\nAnswer: 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)\/(i*i**8))\/(i*i**(1\/10)*i)**(-2\/11) assuming i is positive.\nAnswer: i**(-1444\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 3*b - 8. Let d(p) = 19*p**2 - 8*p - 23. Calculate 4*d(a) - 11*f(a).\nAnswer: -a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + -1636828?\nAnswer: -1636812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 5*x + 5. Let d(l) = l**2 - 2*l + 2. Suppose 4*g - g - 42 = -3*w, 73 = 5*w + 2*g. Determine w*d(c) - 6*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -14 (b) 3 (c) 2\/13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:10 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 3810. Let w(s) = -2560*s - 2. Give w(q(a)).\nAnswer: -2560*a**2 + 9753598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 107751, -26.\nAnswer: -26, 0, 3, 107751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 3\/5, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(875\/(-10)))\/((-25)\/(-70)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -2344561\nAnswer: 70336830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-18)\/(-404))*-6. Let t = 453 + j. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccccccpcccccccc.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/6*-1*(-6)\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 11. Let l = -44.5 + 148. Let w = l - 103. What is the third smallest value in 5, w, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - 3)\/(-1))\/(((-40)\/(-144))\/(-1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -68*c**2 - 8558*c - 83. Give i(-126).\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -136, -178, -216, -244, -256, -246?\n\"Answer: u**3 - 7*u**2 - 26*u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*h = 499*h + 5*b - 20, h = 5*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 - -1a?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:01 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1461, 65, 2, 0 in descending order.\nAnswer: 65, 3, 2, 0, -4, -1461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 6\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.48813ng in kilograms?\nAnswer: 0.00000000001348813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19446 and 936186.\nAnswer: 6553302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f + 4. Let n(q) = -72*q - 15. Let k(d) = -4*n(d) - 15*o(d). Let l(j) be the first derivative of -j**2 + 6. What is l(k(c))?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016665 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 - 11*l**3 - 12*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + 4*(-1424)\/448)\/(22\/(-70))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 29*r**6\/120 + r**4\/24 + 435*r**3\/2 + 1256*r**2. What is the first derivative of p(s) wrt s?\nAnswer: 87*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suuduudi. What is prob of picking 1 u, 1 s, and 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = 0. Suppose -5*x + 4*p - 6*p + 15 = 0, -4*p - 20 = k. Solve -x*j - 30 = -0*d - 5*d, -21 = -2*d + 5*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1477 = -y. Let q = y - 28. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 78 + 34 = 0. Suppose -3*f = -v + 9 + 31, -5 = v. Let r = f + j. What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.806645909 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 746, 747, 748, 749?\n\"Answer: q + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4388 - 34180 = -13*t - 4*q, t + q - 2964 = 0. What are the prime factors of t?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from {d: 2, w: 2, x: 2, y: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 29. Which is smaller: -10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/27 + -2 + 10\/6. Suppose k = -5*j - q - 11, 5*j = q - 21 + 2. What is the fourth biggest value in -3\/7, j, -2\/5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*n + 535*n - 319*n + 912 - 909.\nAnswer: -12*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*28\/70*10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410\/(-60) + (-51)\/(-102).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.446719445 rounded to 5 dps?\nAnswer: 0.44672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 150 = -300. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 14. Let z(n) = 2*n**2 + 3*n + 5*n - h*n. Let w(t) = t**2. Determine w(z(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37057921?\nAnswer: 37057921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 452 = 211. Calculate the remainder when 192 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 70. Give w(32).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3631510581 to the power of 1\/3, to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 11) to base 6.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1401 - 2789 + 1890*p**3 + 1390 to the form o*p + s*p**3 + x + q*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3695 is divided by 1256.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 36*a - 6. Give y(15).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 655000 = -7*s. What is s rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Suppose 0 = -5*m + 5 - c. Is 4\/5 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -35\/4, 9, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 7*x**2 - 19*x + 123. Let p be k(7). Sort -5, p, 8 in decreasing order.\nAnswer: 8, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -10. Suppose -4*q - 5*l = -4*l - 11, -9 = 3*q - o*l. Solve q*h - 4*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 6*g**2)*(-8*g - 3 + 3)*(2 + 2 - 6 + (-3 + 6 - 2)*(0 + 0 - 1)).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1491*i. Let m(v) = 64488*v + 64488*v - 128971*v. Calculate m(c(b)).\nAnswer: -7455*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.03, -0.5, -1, 1\/4, -1583, -7, -0.23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16457.9 rounded to the nearest 100?\nAnswer: -16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + (-6 - -4) - 5) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 4. Let a be (-4 - (-12)\/f)\/(2\/(-2)). Is 1\/5 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 5*g**2 + 8*g + 3. What is the tens digit of y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)\/b*b**(-1\/2)\/b*b*b**(1\/2)*b**(-3) assuming b is positive.\nAnswer: b**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110272616.\nAnswer: 2, 29, 41, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-8))\/3*-2. Let b(y) = -97*y - 1. Let j be b(a). Let l = -32 + j. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, j: 1, l: 4, b: 7}. Give prob of picking 1 b and 2 o.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 262433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/(k*k*k*k\/k**6*k))**(-37) assuming k is positive.\nAnswer: k**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41153636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 30 = 15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10722, -85803, -289570, -686361, -1340514?\nAnswer: -2316367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*f - 2*c**3*n - 22*c**2*f - 4*c**2*n - 2*c**2 + 124*f*n + 20*f wrt n.\nAnswer: -2*c**3 - 4*c**2 + 124*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -4.3. Let y = j + -6. Let l = 1650.2 + -1650.4. Which is the nearest to -0.2? (a) 2 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 12, h = 2*y - h - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -34.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -5. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -14. Let d be (-4 - (-3 + -13))*(-1)\/m. Solve -w + 2*w = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from {f: 9, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2088 and 7\/2108880.\nAnswer: 2108880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 4. Suppose -8*y + 210 = -22. Calculate the remainder when y is divided by w(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 117874934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12984809*c. Let n(d) = -4*d**2. Determine l(n(b)).\nAnswer: -51939236*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3405*379.\nAnswer: 1645.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 3 = -3*c, -5*t + 2046*c = 2050*c - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1001100100 (base 2) to base 8\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19)*-3*6 - (1*sqrt(1539) + sqrt(1539))**2).\nAnswer: 108*sqrt(19) + 36936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*k**3*p - 69238162*k**3 - 17332*k**2*p wrt p.\nAnswer: 42*k**3 - 17332*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-18))\/(657\/(-27) + 25). Let b = -3 + 3. What is the closest to -0.1 in b, 80, 0.5, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 - 3602*b = 0. What is b?\nAnswer: -1801, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/19 + 28208238*a\/19 - 28208240\/19.\nAnswer: 2*(a - 1)*(a + 14104120)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40563, -81123, -121655, -162153, -202611, -243023?\nAnswer: -283383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 3*h + 5. Let x(m) = -132*m. Give c(x(b)).\nAnswer: 52272*b**2 + 396*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23768*j = 23656*j + 3920 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 28170\/(-285) + 45.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 3*r - 3*g - 11, 160 - 287 = -5*g - 152 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**5 + 84*a**3*x - 2*a**2*x - 141*a - 2 wrt a.\nAnswer: -480*a**2 + 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 666596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*t + 2*t - 31, t - 2 = w. Suppose 28 = w*r - 53. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i + 328 - 328)*(7 - 3 + 4)*(-3*i**4 + 4*i**4 + i**4).\nAnswer: 736*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-8) - 791\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 409.788 * -8\nAnswer: -3278.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/9)*(n*n**(-7))\/n)**4 assuming n is positive.\nAnswer: n**(-188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3035 - 1721. List the prime factors of t.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 333 - 336 - 4*u**2 - u + 0*u in the form n*u + a*u**2 + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 59*v + 696. Calculate f(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 496 + -479. Suppose 2*z - 8 = -2. Suppose 5*b - 21 = -2*a, -4*a + z*a = -b. Calculate the remainder when f is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -465148, -465175, -465192, -465193, -465172, -465123, -465040?\n\"Answer: w**3 - w**2 - 31*w - 465117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135214015 + 1?\nAnswer: -135214014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a - -2413?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00522 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 48*o + 12. Calculate the least common multiple of 6 and y(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from {s: 2, p: 1, x: 2, i: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16 - 39*v - 3 + 21 + 12. Let b = -13 - 6. Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 108.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:34 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -56142872 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - 0.93. Let s = 82 + -79. Let m be s\/15 - (4 - (-66)\/(-15)). Which is the third smallest value? (a) -2\/11 (b) g (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-2\/13)*i*i**(-7))\/((i*i**(2\/15))\/i**(2\/9))*i**0*i**(1\/4)*(i\/i**0)\/(i*i**(-2\/7)\/i) assuming i is positive.\nAnswer: i**(-36389\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23396 or 23393?\nAnswer: 23396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-26 - -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*c = -11 - 1, -2*u = -3*c - 1. Suppose 3*a - 580 = -u*a. Suppose 3*i - j - 3*j - 90 = 0, a = 4*i - 4*j. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-78)\/(-36) - 2). Let y be (-1)\/(-42)*4\/(-1). What is the closest to 0 in y, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/5))**(-9\/2) assuming z is positive.\nAnswer: z**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3163 - 3151 = 6*i, 5*o - 2*i - 29 - 24 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (6 - (-1)\/(-1)). Suppose 3*v - 2*v - 2*v**2 + w - 2*v - v = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l + 51*l - 101*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**3\/6 + j**2\/2 + 5*j. Let i be a(-2). What is the units digit of 6\/4*(15 - i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -25*i + 556. Give j(6).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38976 divided by 3248?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -657.28 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6, 0.1, -4, 6\/79 in decreasing order.\nAnswer: 6, 0.1, 6\/79, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0 (c) -5 (d) -0.11 (e) 1033 (f) 17\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:49 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 148*f**3 + 3*f**2 + 7*f - 3. Let b(g) = -740*g**3 - 14*g**2 - 32*g + 14. Calculate 3*b(c) + 14*v(c).\nAnswer: -148*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*f - 746*f = -r - 8, 5*f - 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -40*k**2 + 8*k - 7. Calculate t(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o + 40*o = v + 9, -4*o + 7 = -3*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-9) - -2*1)\/((-93)\/(-14787)*-7526)?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-15))\/(-3)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3124 - 7.3. What is t rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-39)\/(-18))\/((-8)\/(-3)) - 1698\/4245 and -109\/220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)\/w**(-1\/7))\/(w**29\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(-6841\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -5, -89, 5, 4.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((20\/(-96))\/5). Let d be 6*(-4)\/n*-4. Let a(z) = z - 2. Let p(m) = m - 2. Determine d*a(y) - 5*p(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 203*x - 26 + 207*x + 38*x**2 - 411*x. What are the prime factors of t(4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -l + 4*q + 7, 0 = l - 2*q - 19. List the prime factors of 1 + (-4)\/2 + 1141 + l.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-426)\/(-2840)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/13 + 27\/26. Suppose 0 = -n + 2*n - 16. Suppose -n*t - 28 = -2*t. What is the third smallest value in 0, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-10) - (-182)\/2. Suppose 4*v - 3*d - 372 = 0, -2*d = v - 2*v + g. Suppose 3*k - 54 - v = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 495855 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176758*f*h - 99618*h wrt f?\nAnswer: -176758*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2836 - -4?\nAnswer: 283a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.35 - -14. Let b = 43.65 - v. Let m = 43.862 - b. What is m rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by -4.\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 514 and 2570.\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 127.26\nAnswer: -1272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 6. Let g = 86 + -85. Calculate the least common multiple of g and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -4208185?\nAnswer: 4208188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*q - 31*q + 5*q)*(4*q**3 - 2*q**3 - 4*q**3) as x*q**4 + n*q**2 + c*q**3 + f + v*q and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 20. Let i be p(-10). Solve -22 = 3*a - b - b, -5*a - 2*b = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (666\/(-777))\/(-1 + (-10)\/(-14)). Solve -2*y + 10 = h*y, 5*y = -2*m + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12 - (-21599981)\/3. Suppose -6*k + 3*k + w = 7199998, -3*k + 3*w - s = 0. What is k rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 2*f**2. Let j(o) = -3*o**3 - 20*o**2 - 16*o + 25. Let z(x) = -b(x) - j(x). Calculate z(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 0*q + 0*q**3 - 3\/2*q**6 + 0*q**5 + 2 + 0*q**4 - 7*q**2. Find the second derivative of u(k) wrt k.\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -1 (c) 5 (d) 19.216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 319*q**2 - 4*q - 8. Let m(o) = 16587*o**2 - 209*o - 418. What is 4*m(x) - 209*y(x)?\nAnswer: -323*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/5 + 233*x**3\/5 - 887*x**2 + 20767*x\/5 - 16566\/5 = 0.\nAnswer: -251, 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.835 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 59572.054?\nAnswer: -59572.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2.4. Let y = q - 2.4. Let f = 2.2 - y. Which is the third biggest value? (a) 2\/3 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 7, m: 2, f: 1, y: 2, g: 2}. What is prob of sequence egmf?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 7. Let j be a(3). Let y be 0 - (-1 + -2 + -1). Sort y, 0, j in descending order.\nAnswer: j, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11817 - 189031\/16. Calculate the common denominator of g and 5\/2838.\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 2, o: 2, z: 1, e: 2, h: 3, q: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40763391 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**4 + 1 - 4*m**4 - m**4 + (-4*m + 4*m - 3*m**3)*(0 - m + 0) to f*m**4 + u + s*m + h*m**2 + c*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054748 is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16583 and 1207675?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 849, 1270, 1687?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 245*k - 3 - 287*k to the form h*k + d and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 + 437. Let o be k\/(-14)*(-8)\/6. Let t = o - 12. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17086*z - 18. Let l be n(-1). Is 14\/(-35) - l\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 883 + -887. What is the second smallest value in 0.1, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y + r, 0*y + 5*r = y - 13. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*y - 211. Suppose -2*o = 18 - y. Factor 110 - 43 - 56*w + o + 4*w**2 + 95.\nAnswer: 4*(w - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-142 - -7)) + -32 + (88 - 67)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5629.104278 - 5623.635. Let r = -5.47 + a. Round r to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595537193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from rififffi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/6)\/(-4)*-3. Let p(d) = 2*d + 17. Let u be p(-10). Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 + 3*m**2 + 2*m + 39. Let w be (-85)\/(-20) - (-6)\/8. Give l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.2 and 3012.\nAnswer: 12650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 834, 822, 804, 780, 750, 714, 672?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-9)*(-2)\/((-2)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -789\/8 - -3873\/40. Which is the second smallest value? (a) -4 (b) -5 (c) 0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 23*l + 17. Let c be m(12). Suppose c*y + 4*y - 5517 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357 * 0.08.\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*z - z, 0 = -5*w + 3*z - 224. Let n = w + 53. Find the second derivative of -7 + 15*o + 7 - 8*o**3 - n*o wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n. Suppose -14700000 = -n*d + d. Round d to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 416*a - 16. Let b(j) = -j. Calculate b(t(p)).\nAnswer: -416*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(1008) + -2) + 2)**2.\nAnswer: -576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 67. Suppose 4*m = -z, -5*p - 2*m = -7 - 1. Solve 4*j = n - 19, -3*n + j = -p*j - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/7 - 57*x**3\/7 + 177*x**2\/7 + 57*x\/7 - 180\/7 = 0.\nAnswer: -1, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - 133?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/8)\/(1\/2). Suppose d = 2*o - 13. What is the smallest common multiple of o and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273581 (base 13) in base 15?\nAnswer: -7919e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*m = 1090, -4*v - m + 1117 + 1051 = 0. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-2\/3)*i)\/(i\/(i*i*(i\/i**3)\/i)))**20)**(1\/43) assuming i is positive.\nAnswer: i**(20\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 50*b**2 + 32*b + 324. Does 139 divide l(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -648, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43206 divided by 6?\nAnswer: -7201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3 - 23*k**2 + 79*k - 57 = 0.\nAnswer: 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*c + 11 - 4, 4*c = 5*t - 9. What is the lowest common multiple of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2121 + -3bb6?\nAnswer: -6117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 2*a**4 + 3*a**4)*(5 - 1 - 3)*(0 + 2 - 5)*(2 + 1 - 2).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21481\/8 + -5393\/2. Let w = -400663\/24 + 16689. Find the common denominator of k and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-5))\/(36\/(-53880)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, g: 2, n: 2}. What is prob of picking 1 j and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 + 236. Let t = -65 - s. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 100\/7. Let w be (-230)\/(-210) + (-1)\/(-3). Factor -16\/7*t + v*t**2 - 2\/7*t**4 + 8\/7 + w*t**3 - 2\/7*t**5.\nAnswer: -2*(t - 1)**3*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.2 - -81. Sort 0.1, 0, p, -4 in ascending order.\nAnswer: -4, p, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 14*w + 12. Let j be f(6). Let z(s) be the third derivative of j*s**3 - 2\/165*s**5 + 0*s - 1\/33*s**4 + 0 - 5*s**2 - 1\/660*s**6. Factor z(k).\nAnswer: -2*k*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-6)*-21 - 9820\/1120 and 73\/416.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 367, 731, 1095, 1459, 1823?\n\"Answer: 364*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273 - 2764. Let t be (-2 + (-77596)\/(-52))*-1. Let q = w - t. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4169, 3726, 3229, 2672, 2049, 1354?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/114*26\/(-4)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 587870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**2 - 4*k**2 + 3*k**2 + (-151*k**2 - 183*k**2 - 50*k**2)*(2 - 1 + 1) to the form x + y*k**2 + t*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 272*f. Let c be k(2). Let q = c - 2181\/4. Let x = -14109 + 225653\/16. Calculate the common denominator of x and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1\/(1\/46). Suppose -41*y - 27 = 96. What is the tens digit of (3 - y)\/(6\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8470 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -80 - 1360. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 937657422429 and 5.\nAnswer: 937657422434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 1 = -6*r - 4*r, 2*m = -96*r - 138 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 531 and 88437519.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/2 - 24609*d**2 - 97787376*d + 26008344000 = 0. What is d?\nAnswer: -8328, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 146 = -3*g, 3*g + 154 = -h. What is the closest to g in -1\/2, 2\/7, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07410635 rounded to 3 dps?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/38687 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.111 * 1\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i**2*r - 916*i**2 + 70*i*r - 3717*i wrt i?\nAnswer: 42*r - 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1530*z**2 - 19*z - 22. Let p be c(-2). Which is greater: -6103 or p?\nAnswer: -6103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4830)\/(-1) - (-22 + -10 + 25) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + 7*l**2 - 12*l + 8. Give t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1175*-0.021.\nAnswer: -24.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624.862mm in meters?\nAnswer: 2.624862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -157848\nAnswer: 2\/6577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let u = 0.8 - 0.7. Let i = y - u. What is the closest to i in -0.3, 4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.980740858 rounded to three decimal places?\nAnswer: 2.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4190 - 92?\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8817807 rounded to the nearest 10000?\nAnswer: 8820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Let c(i) = 37*i - 219. Let s be c(6). Sort s, 8, x, -5 in descending order.\nAnswer: 8, x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 24. Let n be r(22). Suppose -n*l + 4 + 96 = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10865*i*v**2 + 10*v**2 - 3*v + 1 wrt i.\nAnswer: 10865*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 - (-143)\/(-88). Let m = -2 + 4. Suppose m*a + a = 12. Put 1, j, a in increasing order.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2 - 59*v + 7. Determine s(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**3 + 2*c - 3*c + c.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/3 - 2*f**4 - 26*f**3\/3 + 18*f**2 + 24*f = 0 for f.\nAnswer: -3, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 18721636310596?\nAnswer: 18721636310583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 49205\/20 - 11 - 10\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -32*r + 15*r + 12*r + 7*r. Let f(n) be the third derivative of 3\/2*n**4 + 0*n - n**2 + 0*n**3 + 0. Give f(s(k)).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 22. Let t be j(13). Let f = t - -40. What is the remainder when -1 - -1 - f*4 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110087874 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 1 = -4*m + 3*d, 4*m + 6 = -2*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -24*x + 2. Let v be j(-2). Let g = -73 + v. Is 2\/(2 - (-44)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 6*k**2 - 44*k - 18. What is the smallest common multiple of 930 and d(-6)?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/60)\/(58\/116)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u. Suppose -16 = -4*h, 26 = -m + 4*m + 5*h. Let i(a) = 21*a**2 - 16*a**m - 14*a**2. Calculate i(k(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10. Which is the nearest to q? (a) -3 (b) -4\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302 times 285?\nAnswer: 8.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 80875403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1019966 divided by -107\nAnswer: -1019966\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/9 + 370816*s\/9 + 17188063232\/9 = 0.\nAnswer: -92704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -73. Let 0*f**2 + k + f - 4*f**2 + 3*f**2 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f\/(f**(3\/2)*f))*(f**(-1\/4)*f)\/f*f*f*(((f*f**(2\/7)\/f*f*f*f)\/f)\/f)**(1\/57) assuming f is positive.\nAnswer: f**(2805\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 18 = -4*p - 1, 20 = -5*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*s + 783 - 91, 15 = -5*z. Let m = -1461\/8 + s. Find the common denominator of m and -2\/135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 6*u = -12*u + 35, 0*u - 26 = 3*r + u for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {b: 2, w: 6, r: 2, s: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -509394 (b) -1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let a(v) be the third derivative of v**5\/30 + 5*v**2. Give a(h(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.6 + 458.6. Let h = 401.77 - z. What is the third smallest value in -0.1, -1\/3, h, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.188 and 15823?\nAnswer: 2974.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15652, -31434, -47248, -63088, -78948, -94822, -110704?\nAnswer: -126588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974.07316 rounded to the nearest integer?\nAnswer: -2974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2033*x**5 - 291*x - 3?\nAnswer: 40660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 659*f**2 - 469*f - 555175. Determine x(657).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/5 - 23276*r**3\/5 - 5074336*r**2\/5 - 266218548*r\/5 + 844952958\/5 = 0?\nAnswer: -109, 3, 11853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -40480 at most -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkkkkpfk. Give prob of picking 1 f, 1 p, and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*((l + 2*l - 2*l)*(-4691 + 4691 - 62*l) - 4*l + 4*l + 2*l**2) to t + c*l + v*l**2 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -750 + 1744. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -50. Let i = z + 15. Which is the nearest to i? (a) 3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -17496?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and 22?\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:54 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 - (118 + -110 - (7 + 1))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = s - 4, -2*s - 170 + 173 = -w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Let b(q) be the first derivative of q + 1. Let t(i) be the first derivative of i**2\/2 - 4*i - 5. What is x*t(n) + 6*b(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 1, k: 1, r: 1, p: 2, j: 2}. What is prob of picking 1 k, 1 u, 1 p, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3802*g + 4*g**2 + 3802*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 728 divided by 633\nAnswer: 728\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348247 divided by 27.\nAnswer: 348247\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100233 (base 4) to base 9\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 minutes before 4:01 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(2\/((-24)\/(-18)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/4 + 5*f**4\/12 - 25*f**3\/3 + 20*f**2 + 55*f. Let j(p) = 0. Calculate p.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2378)\/10 + 17\/(-85). Let w = -97 - o. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -363, -576, -789, -1002, -1215?\n\"Answer: -213*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and 0.4041?\nAnswer: 10.4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 15*q**2 - 9*q + 1. What is the units digit of p(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21566944*m + 21566954*m - 43133891*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(14\/4*33\/(-77))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 42. Let o(i) = -146*i - 710. What is the remainder when m is divided by o(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 89. Sort 0.5, h, -0.5 in increasing order.\nAnswer: h, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(130)*2*-2 - sqrt(130) - 1*sqrt(130)*1)\/(2*sqrt(90) + sqrt(90) + -1*sqrt(90)).\nAnswer: -sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378.999747 - -379. Round f to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 180\/22 - 6\/33. Suppose 4*y + 16 = -8*r + 4*r, -4*y + 2*r = -x. Factor -9\/2*h**3 + 6*h**4 + 0 - 3\/2*h**2 + y*h.\nAnswer: 3*h**2*(h - 1)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 - 126565*w**2 + 4017616200*w - 818301042000 = 0. Calculate w.\nAnswer: 205, 63180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*38\/(-76). Which is the nearest to 8\/3? (a) -0.1 (b) 0 (c) r (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 25*p - 622. Let n be h(25). Solve -z = -5*s - 15, -15*z + 13*z = -s - n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -22*f**4 + 226*f**3 + 948*f**2 - 6336*f + 5184 = 0.\nAnswer: -6, 1, 36\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.031.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9\/2)\/(o**(-19\/2)*o))\/(o*o\/(o*o**8))**30 assuming o is positive.\nAnswer: o**214","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -284 in ascending order.\nAnswer: -284, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 5, -2\/9, -5, 35603, 3, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -1 - 3. Let j be 1\/(-2*f\/4). Solve j*z - 1 = -3*t, -4*t - z - 2*z = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276197023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 4) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255\/(-3)*(1 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739290393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 2*n + 2*n + (n - 3*n + 0*n)*(-3 + 1 + 4) - 1 - 2 - 2*n + 2 - n + 0 + 1 + 0 as w*n + c and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -59\/1606156?\nAnswer: -59\/1606156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13 + 2 - 5 - v. Let o be d(10). Are o and 3\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1261 + -3856\/3. Calculate the common denominator of l and (111\/(-99))\/((-2)\/(-4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 8*h - 2. Let c be a(7). Suppose 4*u - 44 - 89 = -c*w, 3*w - 77 = -u. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2256000 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u**2 - u**2 + 3*u**2)*(-2*u**2 - u**3 + 2*u**2) + 25*u**5 - 57*u**3 + 57*u**3)*(44 + 46 - 7).\nAnswer: 2241*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 16*g**3 + 17*g**2.\nAnswer: -g**2*(g - 17)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + 1 - (-1 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 53. Let d be 17 - r - 106\/(-2). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 8, 0, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.089 - -0.589. Which is the nearest to 2? (a) -6 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 7 - 17. Suppose 25 = 5*i - 3*k + f*k, i + 3*k = 5. Suppose -i*t + 9 = -11. Do t and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17097.\nAnswer: 3, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = t - 2500 - 1105, 4*t - w - 14453 = 0. Suppose -t = -5*y - 3*d, 2*y + d - 1433 = 4*d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 107. Let m(h) = -h**3 - 8*h**2 + 6*h + 7. Let o be m(-8). Let l be o\/4 - 6\/8. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/15)\/((-7464)\/268524). Let o = r - -1\/622. Factor -8\/5*d + o*d**2 - 4\/5*d**3 + 0.\nAnswer: -4*d*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*u**2 - 771301 + u + 771301)*(-2 + 2 + 5*u).\nAnswer: 420*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 1\/14*l**4 - 1\/7*l**2 + 4\/7*l - 2\/7*l**3 - 3 + 2\/35*l**5. Suppose c(q) = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16337 plus -2.7?\nAnswer: -16339.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761616?\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30 + (-20)\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 5*l - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9938265 micrograms?\nAnswer: 0.0000000009938265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -24. Let d be ((-1320)\/44)\/(2\/(-19)). Let g be (-4)\/(-38) + t\/d. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1155023 (base 6) to base 13\nAnswer: -222ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*h + 5*h + 8*h - 2 as x + r*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5)*-5)**2 - 2*(sqrt(5) + (sqrt(50)\/sqrt(10))**2).\nAnswer: -635 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10101100011010?\nAnswer: -10101100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:18 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -14. Suppose -3*p - m = 4*s, -5*p - 4*s = 21 - 5. Suppose p = -4*d + 22 - 6. Solve j - 5 = -d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -667, -1349, -2031, -2713, -3395, -4077?\n\"Answer: -682*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -22 - 4*r + 5 + 3*r. Let l(p) = 1. Let m(y) = -22*l(y) - 2*u(y). What is the remainder when 95 is divided by m(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235620\/(-8568)*(-2)\/(-3).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50779*q - 16 + 10830*q + 16.\nAnswer: 61609*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = u + 19 - 1, 5 = -5*u - 3*h. Let g(c) = -2*c - 186*c**u + 192*c**2 - 2*c. Let r(o) = o. Determine r(g(l)).\nAnswer: 6*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in 2\/49, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, 0, 5, -3 in decreasing order.\nAnswer: 43, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49aba + 0?\nAnswer: 49aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, 0.4, 0.5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30) + 1232\/210?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w*w**(-1)))\/(w**(-2)\/w))**(-3\/10))**23 assuming w is positive.\nAnswer: w**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2165 + 2177. What is the smallest common multiple of l and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3559371 (base 11) to base 10.\nAnswer: -6205563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8922438 and 285?\nAnswer: 44612190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 4*b + 2)*(-220 + 504 + 356 + 100).\nAnswer: -740*b + 1480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**2*z**3 + 3*s**2*z**2 + 2*s**2*z + s*z**3 - 14*s*z**2 + 55*s*z wrt s.\nAnswer: -10*z**3 + 6*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*y + 4*q, -q = -5*y - 4*q + 7. Let c(n) = n**3 + 13*n**2 + 11*n - 9. Let l be c(-12). Factor 2\/7*u**l + 2\/7*u - 4\/7*u**y + 0.\nAnswer: 2*u*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213202 (base 5) to base 4\nAnswer: 1302012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646 by 7.\nAnswer: -646\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 55, 53, 51, 49, 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1088)*-4)**2 + (5 + sqrt(1088) + 3)**2)*-1.\nAnswer: -70784 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -194, -288, -384, -482?\n\"Answer: -a**2 - 91*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 216*h**3 + 1107*h**2 + h - 1301032 wrt h.\nAnswer: 20*h**3 + 1296*h + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*l**3 - 112*l**3 + 265*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus -2490.4986?\nAnswer: 2502.4986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 577 or 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/51540289 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95106 and 329989.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54429 and 282?\nAnswer: 5116326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:55 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d + 849. Let c be k(-44). Solve -c = 10*n - 13 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2 - 3*g + 3. Determine t(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 6, r: 4, h: 4}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c**2 - 6*c**3 - 29*c**2 + 28*c**3 - 13*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:43 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242*r - 220 = -2251*r + 4489*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9516*m**5 + 872*m**2 - 52679036*m?\nAnswer: 190320*m**3 + 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*m = -0*r + 39, -5*r + 46 = 3*m. Let h be 5*(4\/(-10))\/((-16)\/96). Suppose -h*k + r*k = -339. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*a + 36*a - 14*a - 2 + 50*a**2 in the form j*a**2 + f + b*a and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*y**3 + 1\/6*y**4 - 1\/6*y**2 + 0 + 0*y + 1\/6*y**5 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4075185*m**2. Let r(p) = -17*p. What is q(r(v))?\nAnswer: 1177728465*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -19 - (-3 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394351 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 153.942. Let a = g - 68. Let y = -0.382 + a. Round y to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/u**(-3\/4))))\/((u\/(u**(-17)\/u)*u)\/u))\/((u*u**9)\/u**(-20)))**(-2\/91) assuming u is positive.\nAnswer: u**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2. Let h(b) = -2*b**2 + 3*b**2 - 3*b**2 - 3*b**2. Give h(k(o)).\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 16*w - 33. What is the tens digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (6 + -14 + -19)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096.67 times 0.4?\nAnswer: 1238.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*o - 20, 10 = 3*f + o + 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22920 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z - 2*z - 3*z + (20*z + 17*z - 4*z)*(0 + 1 - 2) + 3*z - 3*z - z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55920117*c**3 + 27755379*c?\nAnswer: -335520702*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 390 - 264. Calculate the highest common divisor of u and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -3*x - 1, -x - 3*n - 4 = 0. Let t be x\/(-1) + (-5 - -4). Let p(v) = -v**2 - v + 14. Calculate the remainder when p(t) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1 = -2*t + 2 - 9 - 13, -8*m - 2*t - 16 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -48*y**2 + 2*y. Let w(c) = -7*c - 20 - 3 + 9 + 14. Determine d(w(i)).\nAnswer: -2352*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 41.9. Which is smaller: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - ((-1710)\/(-209) - 27) - (-196)\/(-11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from {o: 4, r: 3, n: 3, v: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -4, -6, -6, -4?\n\"Answer: t**2 - 7*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(3\/24). Let d = i - -16. Let u = -7 + d. Solve 0 = k - u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502241201.\nAnswer: 3, 55638563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 3 - 1 - -3. Suppose 4*j - 32 = -3*y, 4*y = m*j + j - 4. Suppose 2*v - 8 - 9 = -3*r, -j*r = -v - 24. Which is greater: -0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {f: 4, e: 2, p: 10}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*s + 10, 0 = -w + 5*s - 6 + 7. Suppose -t = -4*t + w. Let b(p) = -4*p + 6*p**t + 2*p + 2*p. Let h(q) = -2*q. What is b(h(d))?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3 - 0)\/((-2)\/(-2091948)). Let o = -1627316 - l. What is o rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.070532 + 190.378532. Let i = 190 - g. Let n = i - -0.108. What is the closest to -0.1 in 3, -22, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51057933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704242491?\nAnswer: 2704242491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1345330?\nAnswer: -1345321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 7*j + 3*j)*(-3*j - 2*j + 3*j).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2. Let m = 17 + -23. Let t(v) be the second derivative of -v**3\/3 + 3*v**2 - v. Let k(u) = m*s(u) - 2*t(u). Let z(c) = 2*c**2. Determine k(z(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 758311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**13*l)**(-2\/35))**(2\/49) assuming l is positive.\nAnswer: l**(-8\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39aa6b (base 13) in base 7?\nAnswer: -14566054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:39 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 85 = 2*k, 24*f - 26*f + 5*k = -25. Calculate the highest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d - 203. Calculate y(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 73. Solve -4*y + 7*y = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/((-153)\/(-36)) - 18\/5. Let p = -2 - -1.9. Which is the nearest to p? (a) r (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9987608mg in nanograms?\nAnswer: 998760.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -1 (b) 75\/18193 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 a factor of 138891005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 116*h + 399 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let l(q) = -q**2 - 5*q - 5. Let u(k) = -l(k) + 5*z(k). Let g be ((-5)\/(-2))\/1*(-1056)\/(-1320). Give u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)\/(p*p**(-1))*((p*p*p**(-1))\/p*p)\/(p**(2\/13)\/p*p)*(p\/(p**(1\/8)\/p)*p**8)**(-32) assuming p is positive.\nAnswer: p**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2982 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2431, 4202, 5987, 7786?\nAnswer: 9599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01352 * 1797.\nAnswer: -24.29544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/n)\/(n\/(n**(-2\/5)*n)))**(-36) assuming n is positive.\nAnswer: n**(-1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 35*f. Let q(l) be the third derivative of l**4\/24 - l**2. Let y(r) = r**2 - 61*r + 551. Let i be y(11). Calculate i*d(p) - 30*q(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (26 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 19.45858um?\nAnswer: 0.00000001945858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -35. Suppose x - f + 3*f - 138 = 0, -290 = -2*x + 3*f. What is the common denominator of z and x\/4 + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1857014 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-16) - (-1)\/4. Let s be (-21)\/4 + (-2)\/(-8). Put b, -2, s in ascending order.\nAnswer: s, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2. Let a(t) = -5*t**2. Let q(h) = -5*a(h) + 6*o(h). Let l(m) be the first derivative of -8*m**3\/3 + 7. Give l(q(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 164. Suppose -x = 3*r + 5*o, -5*r - 1 - 2 = 3*o. Solve -v - 19 = -3*f, -3*f + r*v - 3*v = -3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 5*i**2 + 7*i - 7. Let p be z(6). Let u = -3 - p. Let h = 8564 + -8563. Sort h, u, 3.\nAnswer: u, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0 - 72*u - 72*u + 150*u + 25. Calculate q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5509 + 6477. What is the greatest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*8\/((-360)\/420*7\/14)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 18 = -q. Let u = 23 - 32. Let k = u + q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000192978 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000181934889 to 7 dps.\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18*(f**(-7)*f*f*f)\/f)\/((f*f**(-7\/4))\/(f*(f*f**23)\/f)) assuming f is positive.\nAnswer: f**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 483570 divided by 995?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6))**(-14)\/((d*d**(-1\/17))\/(d*d**(-1\/2)\/d)) assuming d is positive.\nAnswer: d**(-1337\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7241 by -19.\nAnswer: 7241\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88273251*k**2*v**3 - 129365176*k**2*v**2 wrt v?\nAnswer: -529639506*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-34 + 13)) + 20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/5 + 87*g**4\/5 + 1758*g**3\/5 - 5806*g**2\/5 + 1197*g - 405.\nAnswer: (g - 1)**3*(g + 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1031\/(-318579))\/(2 - 33\/18).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -16*l + 4. Let q(p) = 53*p - 16. Let k(d) = -12*i(d) - 3*q(d). Let n(y) be the first derivative of -2*y**3\/3 + 1. Give k(n(o)).\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let b(y) be the second derivative of 0*y**3 - 7*y + 0 + 0*y**2 - 13\/6*y**4. What is b(s(j))?\nAnswer: -104*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7250901 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 3\/2, 1, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -96 (b) -3\/4 (c) -4 (d) 1\/5 (e) -34\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 3*r - 4. Let f be l(1). Let v(q) = 2*q**3 - 7*q**2 + 5*q + 13. Let o(u) = -u**3 + 4*u**2 - 3*u - 6. Let j(p) = f*o(p) - 2*v(p). Give j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 - -1053. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2372 - 4.7628. Put q, -13, 2\/7, 2\/11 in decreasing order.\nAnswer: 2\/7, 2\/11, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85810 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1005914 and 364.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + s - s + (-s + s - s**2)*(-2378*s**2 + 35*s**3 + 2378*s**2) + 5*s**5 - 3*s**5 + 0*s**5.\nAnswer: -32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 11}. Give prob of sequence yy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -924\/17 + 5527\/102. What is the nearest to -1 in 0, m, -1\/4, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 173, 5, -5 in increasing order.\nAnswer: -7, -5, 1, 5, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 985686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-408*i + 410*i - 8 + 1)*(-80 + 4*i**2 + 80) - 9*i**3 - i**3 + 8*i**3 as d*i + j*i**2 + b + z*i**3 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d*h**3 + 503*d*h**2 - 85810*d + 3*h**3 wrt h?\nAnswer: -15*d*h**2 + 1006*d*h + 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let u = -1 + 0. Let z be (-4)\/(-2) - 0\/u. What is the nearest to y in -2, -0.3, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 174\/30 + 1\/5. Find the first derivative of 0 - 22*w**3 + 0 - 9 - z wrt w.\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/40)\/((-12)\/16). What is the second derivative of 50*z - 301*z**c + 199*z**2 + 267*z**2 wrt z?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1) - (7 - (9 - 1)). Suppose 5*n + 7 = -4*f, 4*n = k*f + 6*n - 4. Solve -5*r + 13 = f*v - v, -v + 1 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -124*r**2 - 14*r - 91\/6*r**3 - 1\/20*r**5 + 0*r**4 - 9. Find the first derivative of y(i) wrt i.\nAnswer: -3*i**2 - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*n - 7 = 0, -5*m + 752983 - 753000 = 2*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81372*-472\nAnswer: 38407584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30430 (base 6) to base 2.\nAnswer: 111111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 834935579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/4720 and -65\/42984.\nAnswer: 25360560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7135133980 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3851032 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/13)*n**(-5)\/n)\/((n\/(n*n**(-1\/3))*n)\/n**(-6\/7)) assuming n is positive.\nAnswer: n**(-1984\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 1 = 0. Let q be (-48)\/w*3\/(-6). Suppose 4*j = 84 - q. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*((-i - 1 + 1)*(-1 + 2 + 0) + (-20 + 9 + 14)*(-10*i + 2*i - i))*(-3 + 3 + 2).\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11. Suppose o = u - 1. What is the lowest common multiple of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 6*v**2 + 5*v + 45. Let l be n(-6). Suppose h - 1 = l. Solve 4*a + h = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (10 - (-5 - -11)) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 20. Let x be (4\/(-2))\/(15\/m). Factor x*h - 4\/3 - 1\/3*h**2.\nAnswer: -(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c + 1. Let t(w) = 2*w. Let z(y) = -y**2 - 11*y - 14. Let l be z(-10). Let h = -1 + l. Let o = -2 + h. Determine o*t(v) - 2*m(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*j - 14, 5*j - 6*z - 11 = -2*z. Let t = 40 - 32. Solve k = -j*k - t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzzzrzzzr. What is prob of picking 2 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**4)))**(7\/3)*(k\/(k*k**(-3\/7)))\/(k\/k**(4\/5)) assuming k is positive.\nAnswer: k**(1249\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*n*z**3 + n*z - 2*n + 1005554*z**4 - z**2 - 8*z - 7550 wrt z.\nAnswer: -660*n*z + 12066648*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 5*v, -141 = 5*a + v - 126. Which is smaller: a or 287?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**4 - 3*z**2 + 1\/315*z**7 + 0 - 1\/90*z**6 + 0*z**3 + 1\/90*z**5 + 0*z. Factor j(m).\nAnswer: 2*m**2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*g)*(7 - 2 + 0)*(-3 + 2 - 1) + 135*g + 138*g + 20 - 278*g + (-6 + 3 + 2)*(-g + 3*g + 0*g) to the form q*g + m and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.554874?\nAnswer: 4.554874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-219)\/(-73) + (1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.016 and -1122372.\nAnswer: -17957.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + a + 2)*((-3 + 1 + 1)*(2 - 1 + 0) + 1 + 1 + 0 + 4 + 1 - 3 - 1 + 0 - 1)*(365 + 490 - 288).\nAnswer: 567*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12 + (-1790997)\/9. What is v rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*r - 4 = 7, -5*p + 5*r - 45 = 0. Let u be (-48)\/32*10\/(-3). What is the closest to 0.1 in p, -1\/11, u?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5257, -7300, -19857, -32414, -44971?\n\"Answer: -12557*t + 17814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*s + 644, s + 493 + 611 = 5*d. What is d rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.75 + 2.25. Let r = 0.03 - 0.03. Let p = r - 0.2. Which is the closest to p? (a) -2 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38c30 (base 14) in base 4?\nAnswer: -202011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) 10.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.0204, -1.2, 0.4, 5\/3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000713632128 rounded to six dps?\nAnswer: 0.000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1668 = 4*j - 4*y, -6*y + 9*y = -15. Let g = -340 + j. Calculate the remainder when g is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*r - 441. Let y be (-3)\/6 + (-5)\/((-510)\/r). Factor -18\/17*q**2 - 54\/17*q - y*q**3 - 54\/17.\nAnswer: -2*(q + 3)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894*p + 1330*p + 3*p**3 - 382*p.\nAnswer: 3*p**3 + 1842*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + 3.93. Let j be 14\/(-35)*(-5)\/(-7). Which is the nearest to 2\/3? (a) j (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 1252.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 123*g**3 + 297*g**3 - 55*g**3 to the form u*g**3 + h*g + i + p*g**2 and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 102*y = 52123. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**11*b**(-7))\/((b*b*b*(b**(-7)\/b)\/b*b*b*b)\/(b*b*b**(-4\/9)*b)))**(-15) assuming b is positive.\nAnswer: b**(-430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/120 + 141\/45. Put -3, y, 12 in increasing order.\nAnswer: -3, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2615 divided by -1.\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5 - l - 4*l + 2 + 7. Let k be u(2). Let w be 21 + 3\/k*2. Calculate the greatest common factor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**2 + 3*t**2 + 55 + 7*t**2 - 11 wrt t?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 14. Give z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - -2 - (7 + -10). Suppose -6*t + 317 = s*f - 3*t, -2*f = 3*t - 157. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2264 - -2281. Let t(g) = 23*g**3 + 29*g**2 - 3*g + 17. Let n(h) = -8*h**3 - 10*h**2 + h - 6. What is m*n(o) + 6*t(o)?\nAnswer: 2*o**3 + 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/77 - 22\/28. Let x(u) = -u**3 + 4. Let z be x(0). Suppose -z*o + o = -6. Which is the closest to 1\/3? (a) o (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8515 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20)*-1)\/((-32509)\/2945 - -11)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:52 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 130. Suppose 0*j - p = -3*j - 2*v, -2*v + 8 = 0. Calculate the remainder when 29 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - 3*q - q - 3*q + 3*q + (q + 1 - 1)*(4 - 7 + 2) + q - 3 + 3 + 3*q - q - 4*q - q + 2*q + q + 18 - 12*q - 18.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*5*6 - -5*sqrt(84)*-3)\/((1*sqrt(132)*-3)\/(1*sqrt(99))))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -2*o + 0 = -4*z + 6, 3*o = 2*z + 3. What is the second derivative of c*a - 4*a**2 - o*a**2 + 2*a**2 + 4*a**2 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000109 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155, -364, -627, -950, -1339, -1800, -2339?\n\"Answer: -j**3 - 21*j**2 - 139*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -906, -1\/25, -93, -5 in ascending order.\nAnswer: -906, -93, -5, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = 3*l - 10, -3*l = -5*s - 24. Let x be 1\/l*9*1. Let f = -51.7 + 3.7. Which is the biggest value? (a) f (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199928 is divided by 33320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1\/4*l**4 + l**2 + 0*l**3 + 0*l - 1. What is the second derivative of x(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1122 in -6, -0.5, 1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -29. Let v be -3 + 33\/7 - b. Let u = -158 - -158.5. What is the nearest to -2\/7 in v, u, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*a + w, 2*a + 0*a = -w + 9. Suppose s + s - 6 = 3*o, -a*s + o = -2. Let z = -2 + 5. Solve s*c - 20 = 5*c, 3*r + 3 = -z*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-2\/39)*(y\/y**0*y)**(-50)*(y\/y**(-1)*y**(-5\/2))\/(y\/(y*y*y**1))**22 assuming y is positive.\nAnswer: y**(-4403\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 979986.2 decades?\nAnswer: 9799.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*h = 290*h + 3591 + 2041 for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*f + 13840, 14*x - f - 13816 = 12*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 5*j - 10. Let a = -12 + 19. Give c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(-91*d + 63 - 63)*((2*d + d - 2*d)*(4*d - 2*d + 0*d) + 0*d**2 + 0*d**2 + 2*d**2 + 5*d**2 + 0*d**2 - 2*d**2 + 4*d**2 - 2*d**2 + 0*d**2).\nAnswer: -1638*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/179 - -10763\/27924. Calculate the common denominator of y and 95\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -21?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 + -5 - 1) + (-3 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 722114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/161 + 299\/7. Let f = q + -41. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1610741 and 0.8479.\nAnswer: 1.0089741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -11\/25300295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-2)\/(-3). Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*(1829 + 6). Suppose 2*g + 3*a + a - 1210 = 0, 3*g = -a + z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4))**(-2\/77)\/(m\/(m*m*m**(-2\/5)))**(-47))**(-27) assuming m is positive.\nAnswer: m**(586143\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**14*n)))\/n*n\/((n*n**(-16))\/n)*(n**(2\/19))**(-2\/81) assuming n is positive.\nAnswer: n**(47705\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.5 (b) -0.1 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**5\/60 - i**4\/6 - i**3\/6 - 5*i**2\/2 + 18. Let m(t) be the second derivative of s(t). Calculate m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 4 + f - 168*f**2 + 166*f**2 - 616*f**3.\nAnswer: -616*f**3 + f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 4*y - 8*x + 10818, -4*x = 5*y + 13555. Let a = -1910 - y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 11) to base 3\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/18720)\/(24\/540).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*(-324)\/(-270)*12)\/((-10)\/75)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 8) to base 11\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 783, 809, 855, 927, 1031?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4aa - 8b?\nAnswer: 41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 770043 + -254?\nAnswer: 768678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krgcs. Give prob of picking 1 g and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 2, z: 4, t: 2}. Give prob of sequence tt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/67, -4, 10, 105\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 307, -1, 3 in descending order.\nAnswer: 307, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s**2 - 39*s + 3. Let z be h(6). Suppose -a + z = 5*g, 4*g + 6*a - a = 264. Suppose 35 = -2*w + g. Calculate the remainder when 35 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/18462 and 5\/141518.\nAnswer: 1306352658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 6. Let y be j(5). Suppose -4*g = -y*g. Sort -1, g, -4.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 45039549.\nAnswer: 45039548.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**5\/5 - 18*z**4 - 118*z**3 + 468*z**2 - 507*z - 943. Solve y(n) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.141065 to 2 decimal places.\nAnswer: -9.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -111.\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(660)\/(sqrt(11)*-2))\/(sqrt(48)\/sqrt(4)*-3 + sqrt(12)).\nAnswer: -1 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*q**3 + 99*q**3 + 98*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*q + 30. Let k be (-1)\/2 - (-13)\/q. Which is smaller: -1\/2 or k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566748 divided by 173.\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/965576 and -87\/59908.\nAnswer: 16414792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*r**3*x**3 - 21009*r**3*x**2 - 7*r**3*x - 2056*r**2*x**5 + 2*x**2 wrt x?\nAnswer: 1296*r**3 - 123360*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from oiirr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118590 and 201603.\nAnswer: 2016030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let c = -49\/115 + -4\/23. Let h = -37 - -261\/7. What is the third smallest value in h, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:06 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (217 - -9023)\/(2\/3) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q. Suppose -4*i = -0*u - 2*u - 18, -3*u = i + 20. Let s(x) = x**2. Let f(o) = -4*o**2. Let y(p) = u*s(p) - 2*f(p). Give t(y(v)).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.75 - 3.95. Let q = 0.7 + y. What is the third smallest value in q, 3, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1\/3*o**3 - 1 + 0*o**2 + 0*o. Let u(y) = y**2 + 5. Let t(v) = -v**2 - 2. Let h(x) = -5*t(x) - 2*u(x). What is h(i(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 19*q**2 - 24*q + 115. Let c be h(18). Solve -2*s - 3 - c = -x, 0 = 4*x + 3*s + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1\/5, 2, -0.2035?\nAnswer: -0.2035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*g - 277 + 277 to m*g + f and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -67\/19 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17335*w - 7. Let v(p) = p. Calculate k(v(l)).\nAnswer: -17335*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*-3*(20 - 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856315593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:11 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 66*o - 84 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1227*d*g + 869*d + 570005*g + 4 wrt d?\nAnswer: -1227*g + 869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 390.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -406*z + 5582 + 102 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25757584?\nAnswer: 2, 17, 281, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3424.6963 - 3425. Round t to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -360*q - 2155. Let r be s(-6). Solve 3*m + 6*k - 4*k + 17 = 0, 0 = m - r*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 83*x + 267 + 73 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 56. Let t be f\/(-6)*15\/10 + 9. Suppose 6*i = t*i + 8. Which is the third smallest value? (a) 3 (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7173 + -4166. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*p + a + 23, 0 = p + 2*a - 3. Solve -p = 2*g - 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = -57. What is the remainder when 55 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/21 - 10*b\/7 + 4\/3.\nAnswer: 2*(b - 14)*(b - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7038 is divided by 190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 0 - 0) + 337. Suppose -4*d = 5*n - o + 118, 0 = -2*d + 5*n + 101. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (12 + -15 + -7 - -31) + -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + (0 - 3) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 41028.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030*j = -1010*j - 740. Calculate the remainder when 292 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2937 + 15216. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgc when three letters picked without replacement from {g: 1, s: 5, c: 1, v: 2, i: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 546500957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*j = 235, 0 = -3*m - j - 131 - 10. Let u = 29 + m. Let n = u - -29. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and -136?\nAnswer: -4760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, t: 7}. What is prob of picking 4 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4648266 and 191\/51647400.\nAnswer: 464826600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 40 - 53)*(4*a - 11 - 5*a + 13).\nAnswer: -51*a + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30628951.\nAnswer: 17, 191, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 3, s: 2, w: 4, l: 2, i: 2}. What is prob of picking 1 s and 2 i?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*v + 144*v + 1075 = 0. What is the fourth biggest value in 3, v, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(11) + 0)**2.\nAnswer: -12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1036, 3759, 8172, 14287, 22116, 31671?\nAnswer: 42964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771410, 771408, 771408, 771410, 771414?\nAnswer: 771420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 6 + (5 - 1). Calculate the smallest common multiple of 6 and (-3)\/s*(-96)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 6*k + 9. Let j be t(7). Suppose -r - 2 = -j. Let z be (-116)\/(-2) - (-84 + 86). What is the highest common divisor of z and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72805223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 3. Let c(u) = -181*u**2 + 18*u - 11. Calculate -c(i) - 4*l(i).\nAnswer: 181*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101011011101110011001100?\nAnswer: -1101011011101110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -24*y + 60. Let h(g) = 176*g - 75*g - 106*g + 12. Give 14*h(f) - 3*v(f).\nAnswer: 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 + 6 = 0. Let n(l) = l**3 - l**2 + l + 1. Let j(h) = -h**3 - h - 2. Let w be (-17)\/(-51)*6\/(-2). Calculate f*n(c) + w*j(c).\nAnswer: -c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:08 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(19\/5))\/(q\/q**(1\/6)))**(-1) assuming q is positive.\nAnswer: q**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.8416 centimeters in nanometers?\nAnswer: 8968416000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 148*c + 3712. Calculate f(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 157469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3944 (base 10) to base 2\nAnswer: 111101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93 plus 3?\nAnswer: 7.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*l - 24, -17 + 2 = -2*c - l. Suppose -3*d + c + 5 = -3*b, 5*d - 20 = 0. Solve 0*k = 4*v + 4*k, -4*v + 5*k + 27 = b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11027522 and 8041?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757425183 divided by -2815707.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 11*o - 6 = 0. Suppose 5*y = 4*a - o, y = -a + 17 - 11. Solve 4*x + 12 = 0, y*x + 6 = -i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -9 - (5 + -4) - (-9 - 1) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 90. Suppose c + c - u = 0. Solve 4*r - r = -3*b + 9, -c = -3*r - 5*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = -2*m - 40, -3*m - 9 = 0. Let s be (-42)\/(-30) + (-4)\/10 + g. What is the greatest common divisor of 126 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13306, 26611, 39918, 53227, 66538?\n\"Answer: v**2 + 13302*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146493 is divided by 44584.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -220. Let v = s + -146.00103. What is v rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*f + 12 + 5*f + 5*f + 25 to the form k*f + j and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from ggdggpgpudg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 3*p. Let i(u) = -7*u**2 + 1279*u - 403225. Let g(s) = 4*i(s) + 12*v(s). Let g(x) = 0. What is x?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5 + 2085*o**4 + 13*o**3 + 183721*o**2?\nAnswer: 60*o**2 + 50040*o + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/5329236 and -89\/12434884?\nAnswer: 37304652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 8*s**4 - 23*s**3 - 26*s**2 + 44*s + 40.\nAnswer: (s - 2)**2*(s + 1)**2*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*i + 113 = 0, 5*u + 29 = 5*i + 214. Suppose n + 0*n - u = 0. What is the remainder when n is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -242\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28308*g**2 - 7*g + g + 6*g - 28430*g**2.\nAnswer: -122*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 8) to base 11\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -4\/932641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.8, 0.1, -3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o**2 - 3207*o + 14263. What is x(-193)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(1\/29))\/n)\/(n**(-11)\/n))**(-7))**21 assuming n is positive.\nAnswer: n**(-51009\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.54 + -0.46. What is the third smallest value in -3\/8, g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/10 - 369*m**5\/5 - 987*m**4\/4 - 247*m**3 - 12*m + 66. Factor p(k).\nAnswer: 3*k*(k - 494)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 927, 906, 865, 798, 699?\n\"Answer: -i**3 - 4*i**2 - 2*i + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**3 - 3*l**2 + 147*l + 4683 wrt l.\nAnswer: -12*l**2 - 6*l + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29708671*b**4 + 51*b**2 - 16*b + 7103 wrt b?\nAnswer: 713008104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64707681 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 461592 and 48?\nAnswer: 923184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 246, 357, 506, 705, 966, 1301, 1722?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 5*b + 36. Let x be w(0). Let l = 1 + 2. What is the least common multiple of 18 and 1\/(l\/x*2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/(((-5635)\/3528)\/23)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 + 4*f**2 + 6*f - 1. Suppose 1341 = 112*b + 110*b + 453. Determine i(b).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 38*r + 2453. Does 18 divide i(74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 1170848?\nAnswer: 5854240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(((-1200)\/(-64))\/(-25))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*r - 37. Let p = 39 + r. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 6*w**2 + 6*w + 3. Let m(j) = 4*j**2 + 2*j - 3. Let n be m(2). Suppose -8 - n = -5*r. Is 8 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 7 + 3. Let l be 1*t + 8 + -1. Suppose -l*m + 64 = -m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3686 - -3683. Sort -3\/8, -0.1, -12, y in descending order.\nAnswer: -0.1, -3\/8, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hoczhozzozcqzof?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*c = -14 - 18, 0 = 4*n - 4*c - 44. Suppose 0 = -r - 2*r + n. Suppose -r*y + 219 = -25. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvc when three letters picked without replacement from {c: 1, s: 3, v: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x)\/(x**(-2\/13)\/x)*x**3\/x*x*x**(-6) assuming x is positive.\nAnswer: x**(-285\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**3 - 10*b**2 + b + 13. Let u(c) = c**3 - c. Let n(p) = -d(p) + u(p). Is n(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-6 - (13 - 2) - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 + 11?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 + 6*s + 1. Let q be k(4). Let f = 191 - q. Let c be f\/10 + (-2)\/(-20)*6. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7315596833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33141 - 33141. Solve 5*j + 24 = 191*i - 187*i, -5*i + 3*j + 17 = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4976\/31, -0.2, 0.5, -3\/8, 2\/11.\nAnswer: -3\/8, -0.2, 2\/11, 0.5, 4976\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5\/3, 2\/3, 1, -0.2, -5 in descending order.\nAnswer: 5, 1, 2\/3, -0.2, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 4*t**2 - 3*t**2 + 12*t**2 - 40*t + 40*t + (t - 4*t + t)*(-t - 4*t + 6*t) - 2*t - 20 + 20 + 3*t**2 in the form x*t + v*t**2 + s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5541006.\nAnswer: 2, 3, 923501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**7\/840 - f**6\/360 + f**3 + 5. Let n(u) be the third derivative of a(u). Factor n(j).\nAnswer: -j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3517 is divided by 703.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9. Let i = -9.6 - -10.51. Let g = i - -0.09. What is the third biggest value in -0.2, g, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*b - 26 = 0, 142*v = 140*v - 4*b + 16. Solve 77*z = -4*s + 81*z, -5 = 3*s - v*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -13. Put 2, y, 5 in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/24 + 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b, f = 2*f - 4*b + 3. Suppose 7*m + 16 = 30. Suppose -3*t + 16 = 5*k - 4, m*k = -t + 7. Calculate the remainder when f is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.1922 grams in micrograms?\nAnswer: 891192200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346526 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36 - (-25)\/(-5))*-1*3. Let x = s - -100. Suppose -104 = -x*h + 134. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1678655 and 50?\nAnswer: 16786550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/71774600?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257374 (base 9) in base 12?\nAnswer: 292011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21452357 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7456.4 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:37 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 12, x: 7}. What is prob of picking 2 x and 2 u?\nAnswer: 462\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 22*q + 46. Let z be w(-24). Let s be (-2)\/((-2)\/(-4*1)). Let k be (z\/s)\/(2\/12). Solve 0*a + a - 5*n - 11 = 0, -a = -n - k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 13 + 3*y**3 + 23 + 5*y**4 in the form c + x*y**3 + o*y**2 + a*y + z*y**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 39, 29, -113 in descending order.\nAnswer: 39, 29, 18, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 27 (c) -4 (d) -302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:46 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*m)*(3 - 3 - m)*(2 - 1 - 2).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*u + 15. Suppose -u*c - 8 = -12*c. Let k = -6 + 7. Put k, -4\/11, c in ascending order.\nAnswer: -4\/11, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2027 (base 8) to base 12.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.62 times 0.792?\nAnswer: -6.03504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -44.7. Let h = 0.53 - 4.63. Let n = h - -10.1. Sort p, n, 0.1, 0.5 in decreasing order.\nAnswer: n, 0.5, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9235 + 3*g**2 - g**2 + 9305 as u*g**2 + w + n*g and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1010010111100110?\nAnswer: 1010010111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*((-6)\/(-3))\/4. What is the remainder when 830 is divided by (t - -45) + 6 + 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 20.7, -0.2 in increasing order.\nAnswer: -5, -0.2, 20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002763684 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 1*sqrt(612)) + -2 + 3.\nAnswer: -24*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765, -1543, -2333, -3141, -3973, -4835?\nAnswer: -5733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.05 to zero dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2062185 and 168.\nAnswer: 346447080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3135*h**2*t**2 + 8*h**2*t + h**2 + 30*h*t wrt t.\nAnswer: -6270*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*g + 140*g + 96*g)*(3*g - g + 0*g)*(3 + 1 - 5)*(3 + 0 - 6).\nAnswer: 510*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112121 - 1000210210?\nAnswer: -1000021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 10:06 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 143?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 186*m = 4767750. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 7*f - 3. Let q be h(-8). Suppose -2 = -q*g + 3. Let l = 3 - g. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3675618 and -105\/22?\nAnswer: 40431798","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Work out 409 - -0.7.\nAnswer: 409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 24005105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(13\/(-6) - -2). Let u = -14 + 10. Let q be (-2 - u\/p)\/(-3). Put 1, q, -0.5 in increasing order.\nAnswer: -0.5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*n + t, -4*n + 14 = 5*t - 6*t. Solve -2*w + 2*p = n, 5*p - 19 = -w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-3 - -52) + 1 + -9 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -41 + 9*l + 85 + l**2 - 37. What is o(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -263*w**3\/6 - 453*w**2\/2 + 92*w. Find the first derivative of n(o) wrt o.\nAnswer: -263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -8*f - 28. Let t be -3 + f + 4 - 5. Suppose t = 3*i - i. Which is smaller: -1\/5 or i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 199, 215, 245, 295, 371?\n\"Answer: m**3 + m**2 + 6*m + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 * -0.127\nAnswer: 0.18415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*i - 9720 = 154*i. Solve -8*m - 7*m + i = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496025 and 3975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10)*15\/36. Let d = -0.0831 - 0.2169. Let z be 14\/10 - 2\/5. Which is the closest to d? (a) o (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699158258 less than 0.2?\nAnswer: -699158257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 13 - (-3 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 - 1493 - 1945 - o + 151*o**2 + 3460)*(-3*o + o + 0*o) to the form g + u*o**4 + d*o**2 + b*o**3 + n*o and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 10 = -o - 2, -o = 4*g - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1714 + 1710.704. What is j rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.006\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/13)*((g\/g**(-2\/27))\/g)\/g*(g**(2\/7))**(-1\/44)*(g*g**(2\/29)\/g*g**(2\/7))**(-2\/55) assuming g is positive.\nAnswer: g**(-174313\/7837830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3\/6 + 13*i**2\/2 + 6*i. Let t be j(8). Suppose -6*s = -s - t. Let x(c) = 5*c**2. Determine x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -99*t**3 - 4*t - 3. Let q = -50 + 55. Suppose 5*o + 15 = q. Is r(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2 - (-57)\/27). Let d = h - 4. Suppose -d = 6*p - p. Is 1\/3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 24274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or 4383?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 31. Let t = y - 76. Solve 3*x - 9 = d + t, -d - 19 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16582\/43 < -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 72. Let b = -47.999916 + i. What is b rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (0 - -4))*(-1)\/2. Let i be ((-20)\/(-15))\/((1\/q)\/1). Let d be 2 + ((-24)\/2)\/i. Let s(b) = 2*b - 5. What is s(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531 and 13747.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 4*c. Let u(n) = 2*n**2 + n - 3. Let f be u(-2). What is k(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-54) + (-120)\/135.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 25*m**2 + 63*m - 5925. What is the hundreds digit of a(46)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 595 and 21770.\nAnswer: 370090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a7 (base 13) in base 5?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1849719*k**3*w**3 - k**2*w**3 - k*w**2 + 20*k + 1210*w**3 - 2*w**2 wrt k?\nAnswer: 11098314*k*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 - 3)*(0 - 1 - 1) + 2 + 2 - 3)*((-1 + 6 - 3)*(0*k + k + 0*k) - 4*k - 10*k - 2*k - 10*k + 13*k + 5*k) to the form v + a*k and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*t - 38 = 0, -5*t - 285 = 2*a - 346. Solve a - 3 = -15*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11137 - -11136.76724. Let o = 0.231 + n. Round o to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 23*m - 26 = 0. Calculate the least common multiple of 10 and m.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s + 3. Give l(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f + 6. Let s be o(11). What is the units digit of -1*((-8)\/16)\/((-1)\/s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1601710, -4, 31\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58335970 and 553?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 13*a**3 - 11*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-132)*(-4)\/(-6))\/((-17)\/1173).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 2 (d) 2\/13 (e) 0.0787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(991*x**3 - 258*x**3 + 1518*x**3).\nAnswer: -4502*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + 88. What is the highest common divisor of 28 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -12, -14, -14?\n\"Answer: b**2 - 7*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/9, -17\/3, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-17 + 10 - (-16 - 5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/5 - (-1)\/5. Let u be ((-20)\/(-75))\/(x\/(-5)). Factor 4\/3*r**2 + 0 + u*r.\nAnswer: 2*r*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 328 = 12*g. Let k be g\/(-4)*(-8 - -4) - 0. Let f = k - 10. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6969*f - 3478*f + 2277 = 3468*f for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25039767.62 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 7*o - 12. Let j be h(8). Let q be j\/((55\/(-10))\/(-11)). Calculate the common denominator of -25\/16 and (-45)\/8 - q\/(2\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -624874 + 52\nAnswer: -624822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -4*w**5\/5 + 2*w**3\/3 + 1. What is the third derivative of o(j) wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*x + 123*x - 292 + 1030 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47179 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16515 = -2*u - s + 16522, -26*s = 5*u - 370 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let z(f) = -19*f - 3. Determine 2*j(x) - z(x).\nAnswer: 17*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.7, 4\/7, -11\/138?\nAnswer: -11\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, w: 1, h: 4, n: 1, s: 1, v: 4}. What is prob of picking 3 h and 1 v?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 2 = -22. Solve -3*b - 15 = -5*f, -y*f - 3*b + 2*b = 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + a**2 + 13. Calculate t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 251, 544, 837, 1130?\n\"Answer: 293*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372095823, 372095821, 372095817, 372095811, 372095803?\nAnswer: 372095793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (sqrt(50) - sqrt(2)) + sqrt(2))**2.\nAnswer: 20*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.1, 0.07, -1\/4, -0.0103, -8?\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-6))\/6 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30311100330 (base 4) to base 2\nAnswer: 1100110101010000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*t**3 - 1614*m*t - 1056*m - 5 wrt t.\nAnswer: 3*m*t**2 - 1614*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = k. Let a be (-10)\/((k - 5)\/(-1)). What is the units digit of a\/(-15) + (-3 - (-768)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14479 + -73?\nAnswer: 14406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1190 and 16184?\nAnswer: 80920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let q(f) = f**2 - 3*f - 1. Let w(t) = -t**2 + 4*t + 5. Let c(z) = -5*q(z) - w(z). Determine c(n(s)).\nAnswer: -36*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 10*n + 23. Suppose 8*z + 8*z + 48 = 0. Let q be k(z). Solve q = -5*g - 2*l, -l + 20 = -4*g + 3*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 96*i - 812. Let r be q(11). Sort 4, -2, 60, r, -1.\nAnswer: -2, -1, r, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyydwhddyyya. Give prob of sequence dw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1750106553 divided by 1.\nAnswer: -1750106553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 11:25 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 61?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/3 - 12*i**3 - 80*i**2\/3 - 16*i.\nAnswer: -4*i*(i + 1)*(i + 2)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 + 12*f - 5. Let a be c(8). Is 6\/a - (-196)\/9 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-24)\/(-124))\/(-6)). Calculate the highest common divisor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + (-11 - (0 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14441 (base 7) in base 15?\nAnswer: -12b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 162, -5 in descending order.\nAnswer: 162, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -54\/79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*y**3 - 11952*y**2 - 124630*y.\nAnswer: -462*y - 23904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 36*t**2 + 3*t**2 in the form g*t**2 + f + w*t and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557496493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 15, 0, 3\/4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tettteetteeee. What is prob of sequence et?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7311334310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67991 = -2835*s + 86481 + 2420 - 12307 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13021 + -105234?\nAnswer: -52213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 15, 35, 69, 123, 203?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -411 + 420. Solve i = -3*z, 4*z = j + 6*z + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssseses?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1169646 - -4588379. Let b = 102541183\/30 - v. Let i = 2117\/3 + b. Find the common denominator of i and -50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-5))**(-29) assuming o is positive.\nAnswer: o**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1974000 to the nearest ten thousand.\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/9, 1\/2, -1521, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = n. Suppose -5*l = 4*j + j - 50, -l = 3*j - 18. Solve 0*f - l = -n*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*o + 803*o + 1425*o + (1 + 0 - 3)*(-1 + 1 - o) in the form w*o + n and give w.\nAnswer: 2476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 139*r**2 + 1697*r. Let m(h) = 4*h**2. Calculate y(m(q)).\nAnswer: 2224*q**4 + 6788*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1132\/19? (a) 9 (b) 0.6 (c) -2\/17 (d) -19 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1642724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -51 (b) 0 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32110 - -4?\nAnswer: -32101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-810) - 215\/(-75))\/(1 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -516 + 528. What is the closest to 2 in -4, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18*s = -60. Let c(y) be the first derivative of 0*y**2 + y**3 + 2 - s*y + 1\/4*y**4. Factor c(f).\nAnswer: (f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c**3 - 8*c**3 + 11*c**3)*(-6 + 11 + 0) to j + k*c + d*c**3 + u*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -5 + sqrt(1573)*2)**2.\nAnswer: -37752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12303 - 12303 - 99*q)*(-q + 0*q + 0*q).\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10 (b) -0.2 (c) -5.81 (d) -3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-24) - (-139)\/(-6). Let v = u - -49. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 891909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v - 8. Suppose 4*i + 0 = 4. Let p be b(i). What is the units digit of (-1858)\/(-20) - p\/(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/(j**(-1\/3)*j)*(j**(2\/3))**(37\/2) assuming j is positive.\nAnswer: j**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*(-8 + -2). Let u be (1158306\/15)\/(1\/v). Suppose -u + 5172204 = -4*t. Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 519575064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -5*q**2\/2 + 80*q - 44. Let j be i(15). Suppose 723 = j*l + 223. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2086 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0567? (a) 1\/4 (b) 1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049672448 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**6\/6 + 5*p**5 + 35*p**4\/2 + 10*p**3\/3 - 65*p**2\/2 - 35*p - 141. Solve y(x) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let j be d(3). Suppose 2*u - 10 = -5*z + u, -z = -4*u - j. Sort -4, z, -3 in increasing order.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.029 or 2478?\nAnswer: 2478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10640 times 75678?\nAnswer: -805213920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 5*b - 5. Let x be v(4). Let l = x - 5. What is the tens digit of -62*((-3)\/l)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 142. Let g(u) = 9*u**2. What is g(q(v))?\nAnswer: 36*v**4 + 5112*v**2 + 181476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-0.72.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d + 131*d - 527 = 35*d + 1791 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16 - 4)\/3 + 66\/3. Suppose 0 = 3*t + c*t - 174. Let r be (-4)\/32 + 33\/8. Solve -t*h = -5*h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 318 and -0.2.\nAnswer: -63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 18 = -s, 5*q - s + 33 = 136 - 65 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16.43*-126832\nAnswer: -2083849.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/3)\/(-1 + 2). Let z(h) = -h**3 - h**2 - 3*h - 3. Let r be z(-2). Suppose -r*o - 25 = -12*o. Solve o*q + 5*p = q + 12, -15 = -s*q + 2*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**6\/900 + 19*t**5\/300 + t**4\/3 + 106*t**3\/3 + 129. Let f(c) be the third derivative of a(c). Factor f(x).\nAnswer: -2*(x - 20)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3113786.11 to the nearest 10000.\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.599.\nAnswer: -1.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8236344035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 - m - 3. Let l be t(-5). Suppose -11 = -l*r + 9. Suppose 2*x - 40 = -4. Calculate the remainder when x is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -0.1 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 2*h**2 + 2*h. Let m(z) = -8*z**3 + 22*z**2 + 70*z. Let k(g) = -3*b(g) + m(g). Find p, given that k(p) = 0.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 7 - 18. Let f be (-23 - 1)\/(l - -4). Suppose c = 4*g + 28, 2*c + 3*g - f = -c. Calculate the highest common factor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. Suppose x*m - 180 - 313 = 4*t, 190 = 2*m + 2*t. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((25 - 31) + 4 + -2 + 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4 + 2*v**2 - 1 + 4 + 2*v**2. Let x be b(-2). What is the highest common divisor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 1194 = -108*i, -83*i - 4*g = -48*i - 40*i + g - 65 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1476 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 8*x + 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 c when four letters picked without replacement from {e: 7, k: 3, c: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3\/5)*d\/(d*d**(-5)))**(-2\/9))**(-2\/27))**(-2\/3) assuming d is positive.\nAnswer: d**(-176\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r + 69. Let s be y(6). Let 4\/9*l**2 - 4\/9 + 2\/9*l**s - 2\/9*l = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67128877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6412 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n)**41*n**(1\/2)*(n\/(n\/n**4*n))\/n*((n*n**(-2\/7))\/n**(-2))**28 assuming n is positive.\nAnswer: n**(881\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 669923\/1507347 - -1\/167483. Let q be (4\/(-10))\/((-18)\/10). Solve 0*v + 2\/9*v**4 + q*v**3 - y*v**2 + 0 = 0 for v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 9*q - 10. Let c be w(10). Suppose 8 = 2*u - 10. Let r(a) = u*a**2 + c*a**2 - 7*a**2. Let i(f) = -9*f**2. Calculate r(i(n)).\nAnswer: 162*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25786897 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 139427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29000 by 58.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 270 - x - 126 - 98 as w + n*x and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 32*q - 160. Let r be i(6). Is -2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*sqrt(13) + sqrt(13)*-4*4 + (sqrt(1872) - (1 + -6*sqrt(1872))**2) + sqrt(1872) + -1.\nAnswer: -67394 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.6 and 9.81?\nAnswer: 8.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 16*b + 2. Let a(c) = c. Suppose 4*l + n - 11 = 0, 57*n + 36 = l + 62*n. Determine l*q(i) - 5*a(i).\nAnswer: 11*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g. Let a be x(-1). Suppose -a*k + 3*y = -9, -5*y - 26 = 3*k - 11. Solve -n**2 + k*n**4 + n - n**5 - n**2 - n**4 + 3*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -61?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000134088 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 132*i**2 = 0. Calculate i.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*k - 1692*k + 861*k - 1624 = 0 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2707 - 2709. Sort -1.1, t, -1, 8 in descending order.\nAnswer: 8, -1, -1.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbjj when four letters picked without replacement from bjbjjbb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/((-2)\/2))\/3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/93, 5, 2\/7 in descending order.\nAnswer: 5, 2\/7, 2\/93, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585099 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 5626 + 19883. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 50. Let t be p(-12). Factor 8*z**2 - 579 - 9*z**t - 677 - 96*z - 1048.\nAnswer: -(z + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 11*a - 11. What is the lowest common multiple of u(9) and 2\/3 + (-22)\/(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccfffcffffcfcfcfuuc. What is prob of sequence ucc?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - u - 24 = 0, r + 3*u + 13105 - 6545 = 6532 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -80, -117, -154, -191, -228?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.3 and -25.041.\nAnswer: -683.6193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4493 and -1468.\nAnswer: -6595724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/5 - 24\/40. Suppose 2*n - 4*l = 4, -l + 4 = -r*n + 11. Let d = 7709 + -7689. What is the highest common divisor of n and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644185057.\nAnswer: 644185057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.2 and -123990659.95.\nAnswer: -123990657.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -165227 - 227179. What are the prime factors of k?\nAnswer: 2, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(162) - 3*sqrt(162)) + sqrt(162))\/sqrt(6))\/(5*-1*sqrt(9)) + 4 + -2 + 0)**2.\nAnswer: 4*sqrt(3)\/5 + 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -76*t - 138. Calculate the least common multiple of v(-3) and 513.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*t - 312 = 13*t. Solve -3*r + t*o = 1, 0 = -3*r - 3*o + 13 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64383*o**3 + 2*o**2 + 16369 wrt o.\nAnswer: 386298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 178?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/24 + h**3 - h**2. Let d be n(4). What is the third derivative of d*y**2 + 2*y**3 - 2*y**3 - y**5 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let z be 1\/(-3)*(l - 30) + 3. What is the derivative of z*r - 18*r + 45*r - 20 wrt r?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 201*z**2. Let k(r) be the first derivative of r**2 - 272. Determine k(d(s)).\nAnswer: 402*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooaa when four letters picked without replacement from ooaoohhao.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 349*a - 13866. Calculate o(40).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and 30840 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 40777.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(2) + sqrt(4)\/sqrt(2)) - sqrt(72)\/(sqrt(12)\/sqrt(3)))\/(sqrt(1296) + sqrt(1296)*-1*4).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/20 - f**4\/8 - f**3\/6 + 3*f**2. Let u(m) = m**2 - 18*m - 34. Let r be u(20). Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -274 - 5*s + 15*s - 12*s - 92 - 5*s as q + j*s and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/83049 and 8\/21.\nAnswer: 581343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 95 = -4*s, 5*z - 99 = -s - 4. Suppose -u - 12 = 4*j, -z = -j - 4*u - 7. Put -3, j, 5 in ascending order.\nAnswer: j, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/24 + 2*k**2. Let b(x) be the first derivative of 6*x**2 - 15. Calculate u(b(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-7 - (-320)\/56). Which is the closest to 10.3? (a) -1 (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 67*k + 2673. What is n(95)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12 = -5*g, 0*g = 4*g. Is 27 a factor of -2 + 2*28 - (p - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*d + 3*r, -9*d - 3*r = -6*d + 48. Let y be 8\/d*(-24 + 0). Solve y = h + 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*a - 134, 0 = 5*r - 5*a - 37 - 83. Calculate the remainder when 17 is divided by 126\/r - 26\/(-169).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55c (base 14) in base 5?\nAnswer: -13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - 3 - (-4 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 + 1 + 2*v. Let s(c) = -3*c - 2. Let n(x) be the third derivative of x**3\/6 - 2*x**2 - 14*x. Let y(k) = 2*n(k) + s(k). Determine l(y(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.5 + -43. Which is the nearest to 0? (a) -105 (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2)*k)\/k*k)**12\/(k**(-4))**(-1\/14))**(-2\/31) assuming k is positive.\nAnswer: k**(-80\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.50302ug in kilograms?\nAnswer: 0.00000002050302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 65. Suppose -j - 5*s + 29 = -2*s, 3*s - 57 = -3*j. Calculate the lowest common multiple of j and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1 - (-9)\/6). Find the common denominator of i\/(-27)*51*(-7)\/84 and 119\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yddy when four letters picked without replacement from {y: 11, d: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.16 - -4.16. What is the closest to -4 in 3, r, 6, 5\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 - 0.61. Which is bigger: h or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -142*h**2 - 28 + 190*h**2 - 3*h**3 + 6*h - 2*h. Is 6 a factor of j(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and 133.6.\nAnswer: -13360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/15)*y**(-9\/5)*(y*y**(-2))**(-49) assuming y is positive.\nAnswer: y**(704\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172078850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2*j**4 - j**4 - 5*j**4 + 3*j**4 + 5*j**4 + (4*j**2 - 5*j**2 - j**2)*(0*j + 0*j + 2*j**2) + 0*j**3 + 2*j**4 + 0*j**3.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(5\/75*-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -495 + 512. Which is the closest to 1? (a) -2 (b) 1\/7 (c) 0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -5514031?\nAnswer: -5514031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2362 <= -2227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 10. Let m be a(10). Solve p = -q - 2*q + 7, m = -q - 5*p + 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a32757 (base 11) to base 12.\nAnswer: 67b5b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556\/308823 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7283000 rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - n - 2. Let k be d(-1). Let v(f) = 3*f**k - 3*f - 6*f - 3*f. Let a be v(4). Solve c - 3 + 8 = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2398, 9647, 21732, 38659, 60434, 87063, 118552?\nAnswer: 154907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375597, 1502331, 3380171, 6009075, 9389001, 13519907, 18401751?\nAnswer: 24034491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4479907801 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16565213.5 to the nearest 10000.\nAnswer: -16570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 5*w + 3. Suppose 2*u - u = 4*d - 14, 5*u + 16 = 2*d. Let k(v) = -4*v. What is the least common multiple of k(u) and x(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 9*h + 146. Let m be f(0). Let k = m + -129. What is the remainder when 43 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-5)*(4 + (-2 - -3)). Suppose -p*f = -7*f - 143. Which is the second biggest value? (a) 0.3 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47971 is divided by 505?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0 + 1\/42*o**7 + 0*o**4 + 0*o**6 - 4*o**2 - 7\/60*o**5 + 0*o**3 + 0*o. What is the third derivative of f(t) wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -85, 3, -3, -0.4, 0.25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34256851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 12*q**5 + 3*q**2 + (2*q**4 + 2*q**2 - 2*q**2)*(1 - 1 - q).\nAnswer: -14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2153080, -4306166, -6459252?\n\"Answer: -2153086*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 7*o. Is -1 - (-2 + -2997) - o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwedwwwwwwswhwewes. What is prob of picking 1 w and 2 s?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 10*a - 7. Suppose -5*s - 4*r = 26 + 11, 23 = -3*s - 2*r. What is the units digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*t + 18, 5*t + 3*p - 2*p = 7. Let n(l) = -l**3 - 4*l**2 + t*l**3 + 11*l**2 + 3*l - 2*l**2 - 3. Let j be n(-3). Which is smaller: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) 1.8 (d) -1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -25 - -3 - -29.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6976354, 13952709, 20929064, 27905419, 34881774?\nAnswer: 41858129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -35, -14, 37, 130, 277, 490?\n\"Answer: 2*z**3 - 3*z**2 - 2*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1934 and 47383?\nAnswer: 94766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596713 - -9742.72?\nAnswer: 2606455.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c4 (base 15) in base 13?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -162 in 3, -3\/7, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25916 - -63853. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*p - 25*p = -63*p + 1272 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 2 = -18*u. Let r(z) = 3*z - 3 - u*z - 13 - 4*z. Determine r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8748 and 1188?\nAnswer: 96228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24958 or -15907?\nAnswer: -15907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51228900 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-10))\/(6\/30). Suppose d + g*d - 96 = 0. Suppose -a - d = -6*a + 2*c, -4*a - 3*c = -10. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3024 and -73\/11832?\nAnswer: 1490832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = -z - 12, -3*f = -2*z - 46. Let h = z + 128. Suppose -w = -0*w + 4*m - 42, -2*w + h = -4*m. What is the remainder when w is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.318295575 - 0.3183. Round z to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-2)\/(-2))\/1)\/(-1) + -4. Let l be (3\/(-12))\/(y - (-45)\/12). What is k in -l*k**2 - 2\/5*k + 0 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -554?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30021.\nAnswer: 3, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7104 from 0.132614.\nAnswer: -0.577786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6123 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a5 (base 16) in base 9?\nAnswer: -7222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -21*d - 73. Let c(v) = 3*v**2. What is m(c(z))?\nAnswer: -63*z**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvj when four letters picked without replacement from advjggddddvddd.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-17)\/t)\/t**(2\/7)*(t\/((t*t\/((t*t**(3\/2))\/t*t)*t*t)\/t))\/t*((t\/t**(-15\/8)*t)\/t*t)\/t assuming t is positive.\nAnswer: t**(-891\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1834536, 3669131, 5503726, 7338321, 9172916, 11007511?\nAnswer: 12842106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 22 = 5*d - 10*m, -5*m = 2*d - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 79*s - 29. Let g(t) = -79*t + 31. Let a(o) = 5*g(o) + 6*z(o). What are the prime factors of a(12)?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 - (8 + 3) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 9191030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1)\/7 + 1880\/(-280). Put 0.5, -0.2, z in ascending order.\nAnswer: z, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -295, -341, -227, 101?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*z + 3*z. Suppose 3*l = -5*c + 7 - z, 46 = -4*l - 2*c. Let s = 32 + l. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/1 - (-2)\/(-2). Let i be (-15199998)\/(-4) + (-4)\/t. Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 24 = h, -3*i - 5*h = -0*i - 42. Let p = 21 + i. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(3*(-169)\/(-78)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35661 - 15122?\nAnswer: -54113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22502075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 23*u + 21. Determine t(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2052864, 2052862, 2052860?\n\"Answer: -2*l + 2052866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7380498 less than 1961384?\nAnswer: 9341882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 40, -21.08, 2\/15, 3, 2, 0.5 in descending order.\nAnswer: 40, 4, 3, 2, 0.5, 2\/15, -21.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83977 + 83969.0977. What is f rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7969*g**6 + 253*g**2 - 69*g**3 - 56*g**3 + 11*g**3 - 7970*g**6 wrt g?\nAnswer: -120*g**3 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19330992 by 3.\nAnswer: 6443664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -5*k - 2*c + 30, -4 = 4*c. Suppose 4*m = k*m + 3, m + 428 = 5*g. Which is smaller: g or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117037, -117035, -117023, -117001, -116969?\n\"Answer: 5*p**2 - 13*p - 117029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89798053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 534695471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:23 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 533 - 529.3848. Let i = -3.6 + k. What is i rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76027040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-22))\/((-50)\/120)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 30. Let k = s - 2. What is the remainder when 54 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(-2*sqrt(11) + sqrt(11)))\/(1*sqrt(245)).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1094445 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 76 - 88, 0 = -5*f + 4*j + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1560*b - 118. Is i(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 26*n + n - 10*n - 2*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**3 - 19*b**3 + 10 + 12*b**3 to f*b**2 + d*b + q*b**3 + v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 9. Let o be (-2)\/(1 + 3\/r). Suppose -78*x = 95 + 139. Put -1, x, o in increasing order.\nAnswer: o, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2454983 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m + 17. Suppose -5*u = -o + 5 + 2, -5*u = o + 23. Let r be b(o). Suppose -3*v + 15 + r = 0. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - -2.81. What is the biggest value in -3\/5, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (2 - -17) + 5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2079*c + 14274. Determine n(-7).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -1 + (-5 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272b6 (base 13) in base 5?\nAnswer: 300434432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34834*i*k*t**3 - 25105*i*k*t - 417*i*k - 2*i - 2*k*t**3 + 2*k*t wrt t?\nAnswer: 209004*i*k*t - 12*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*((-326)\/2282)\/(4\/434)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + k = 978 + 987, -2*x = -3*k + 1310. Does 5 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7682 - 2276. Is 5406 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(147)*3 + 0 + (0 + sqrt(147))*3)*-2)**2.\nAnswer: -21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49911.\nAnswer: 3, 127, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-2399595)\/21 - (-5 + (-646)\/(-119)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12479698 and 151\/770?\nAnswer: 62398490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:41 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose 0 = 14*f - y + 2. Let w = 490\/143 - 28\/13. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -114?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/374)\/(4632\/26248).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80560\/19 + 0\/(-1) + 6 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32, 16, -7746, -0.5, 5?\nAnswer: -7746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*1*1\/1. Let g = -35 + 35. Let r be g - 3\/(-2)*2. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -24, 2\/23, -3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264887\/10 + (-8)\/(-80)*(14 + -11).\nAnswer: 26489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 1. Let z(b) = 5*b**3 - 15*b**2 - 25*b + 35. Let k(p) = -20*l(p) + z(p). Let k(t) = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-280)*(56\/2)\/4*384\/(-18).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**7\/2520 + l**6\/720 - l**5\/120 - l**4\/6 - 11*l**3\/6 + l**2 + 43. Let p(g) be the second derivative of w(g). Calculate p(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8780 = -31*u - 122*u - 196*u + 1451 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100010011001010101?\nAnswer: 100010011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.85. Let u = -53\/196 - -1\/49. What is the second smallest value in u, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 2 - 1\/2*p**2 - 6*p + 5\/6*p**3 + 1\/12*p**4. Let o(x) = -x**2 + 4. Let l be o(-3). Determine y(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -12*h**5 - 2571*h**4 + 48603*h**3 - 187653*h**2 + 223065*h - 81432 = 0.\nAnswer: -232, 3\/4, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -34. Let p = -23 + w. Is p < -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - (-21 - (-13 + (-3 - -9)))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 726751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Suppose 2*u + 3*u - 5*g = 15, 0 = 5*u - v*g - 17. Calculate the highest common factor of u and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 146 and -11.4.\nAnswer: 134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749432 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 100?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 1 + (126 - 124) + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 15 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -0*j - 125*b + 126*b, 0 = 3*b - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*d = -14, 3*d - 30 = -3*t - 51 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(95)\/sqrt(5)*-2 - -4*(-1 + sqrt(19))))**2.\nAnswer: -9200 + 1600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -219. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125) - sqrt(125))*-2 + -3*(sqrt(125) + 1) + -1 + sqrt(125) + -1 + 1)**2 + 5.\nAnswer: 80*sqrt(5) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140821, 140818, 140815, 140812?\nAnswer: 140809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139115497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 42*l**3 + 194*l**2 - 330*l - 484 = 0. Calculate l.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1356 and 354808.\nAnswer: 120279912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1148000 to the nearest ten thousand.\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 9?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502 = -21*t - 817 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53\/4 in -0.1, -0.01, 1705?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-30)\/j)**(-13\/3))**(-33))**(3\/40) assuming j is positive.\nAnswer: j**(-13299\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 56*y - 3*u, 31422 = -2*y - 2*u + 31392 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s = 68, 2*s + s = 2*q - 116. Let o be (-1 - -1)\/(-3) - 28\/2. Let z = -10 - o. Calculate the greatest common divisor of z and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 178670985*m*n**3 - 516370*n**3 + 32*n**2 + 3 wrt m.\nAnswer: 178670985*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 - 232 = h + 5*y, -h + 11 = 2*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-14) + (-9)\/(-2). Let z = 51 - l. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -109*c - 12. Let n(q) = -4. Give -3*n(f) + t(f).\nAnswer: -109*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 2*s**4 + s**4 + (-4*s**3 + 6*s**3 + s**3)*(0*s + 2*s - 3*s).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 + 2*z - 12. Give q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 21. Let h be u(-12). Solve h*n = y, -6*n - y = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 34230 = -9*u + 6*u, 5*u - 57034 = 3*b. List the prime factors of u.\nAnswer: 2, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14760\/11480 - (-424)\/(-14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x - 3. List the prime factors of w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*w - 18 - 23, 5*u - 5*w - 105 = 0. Suppose 41 - 5 = 4*c - 4*x, -5*x + 5 = 0. What is the greatest common divisor of u and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 6188*q**2 - 6246*q**2 - 6396*q**2 + 18633*q**2 + 0*q.\nAnswer: -197*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4550 and -89\/378?\nAnswer: 122850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205.3086639 - 205.31. Round u to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 204856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -74, -5\/9, -24\/5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 168 = 4*z. Let g be (-2)\/z - (-1)\/(-3). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1\/2 (c) 35 (d) 0 (e) -3 (f) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-18)*(-8397)\/(-1866).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 157?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(3))\/sqrt(5)*5.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 34*l + 112. What is the smallest common multiple of x(20) and 27?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000072648203 rounded to 7 dps?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in 1\/7, -159\/484, -1\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/12 + n**3 - 3*n**2 - 5*n. Let r = 6 - 8. Let f be r\/4 + 66\/12. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + 10. Let t be l(0). Let j(n) = -n**2 + 9*n - 1. Let i be j(t). Let q(p) = -2*p - 2. Let b be q(i). Solve -4*y + b = -8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -54\/13, -1\/71, -4?\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 71933630*b + 215800935.\nAnswer: -5*(b - 14386729)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6626*u - 79481. Determine o(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -9. Let k = l + -22. Let m = k - 6. Solve m = -n - 3*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 12*a**2 + 12*a**2 - 8*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194709 divided by 3?\nAnswer: 64903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1732.36057 rounded to the nearest 10?\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/109 - 252\/1853. Sort -1, -3, c.\nAnswer: -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 4. Let d be t(-4). Suppose d = 5*z - 10. What is the greatest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (3 - -17)\/5. Put 2, 20, u in increasing order.\nAnswer: u, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 2, j: 1, e: 3}. Give prob of sequence ksek.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20\/80*(-8)\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2 - 2 + (-1 + 4 - 1)*(-g**3 + g - g) + 0 + 0 - g**3)*(4*g + 10*g - 16*g + 3) - 1173*g**3 + 10*g**4 + 1173*g**3.\nAnswer: 20*g**4 - 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + 9*j**2 + 40*j - 135. Let h be f(13). Let m(l) = 4403*l. Let b be m(-1). Let s = b - h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {m: 1, x: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/35 - (-141)\/15. Suppose -a*l = -9*l - 11. Calculate the lowest common multiple of 3 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d**2 + 65*d + 914. Does 154 divide i(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 114*l - 111.\nAnswer: -3*(l + 1)*(l + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536469 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63832 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(176) - (sqrt(176)*2 + -4) - sqrt(176))*5 - ((sqrt(176) + 0 + 4)*1)**2).\nAnswer: 516 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/13)\/w)\/w)\/w)\/(w*w\/(w*w*w*w**(2\/7))))\/(w**(5\/3)*w**1)*((w\/(w*w\/(w*w**(-2\/5)*w*w)*w))**(-3\/38))**(-2\/3) assuming w is positive.\nAnswer: w**(-116791\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 7*q**4 - 193*q**3 - 665*q**2.\nAnswer: q**2*(q - 19)*(q + 5)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 - 1 + 1)*(340 + 195 + 483 + 228) - 10*y**2 - 106*y + 106*y - 1 as r*y + f + t*y**2 and give t.\nAnswer: -2502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.10248 to 1 dp.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181655557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -119. What is the biggest value in 5, 13, f?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10653, -10655, -10657, -10659, -10661?\nAnswer: -10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 + 8*g**2 + 203)*(6 + 1 - 3 + (-1 + 0 + 3)*(-3 + 1 + 3) + 2 + 1 - 4 + 2 + 0 + 0 - 1 + 0 + 2 + (-2 - 2 + 3)*(2 - 2 - 2) + 2 - 2 - 1).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.99322 + 0.28322. Let c = 36.2 + 79.8. Let b = u + c. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2828.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.998 + -13.998. Which is the biggest value? (a) 116 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 81. Let p(u) be the third derivative of -1\/10*u**6 + 3*u**2 + 0*u + 0 + b*u**4 - 1\/4*u**3 + 3\/20*u**5 + 3\/140*u**7. Let p(c) = 0. Calculate c.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 3, e: 1, f: 3, x: 3, z: 4}. Give prob of picking 3 f.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 34*m + 70. Determine d(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(34 - 34 - 40*w + (2 - 2 + 2*w)*(-2 - 3 + 3)) in the form q*w + g and give q.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 24*i + 15. Let m be ((-70)\/21 - 1343\/102)*2. Let t(j) = 3*j + 2. Determine m*t(h) + 4*n(h).\nAnswer: -3*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 31*n - 53. Let w be b(29). Solve 5*u - z + 3*z - 7 = 0, 0 = -5*u + w*z + 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:46 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1509 = -i - 799. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2.33 (b) -1\/6 (c) -3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -2922?\nAnswer: 291e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 484\/5 - 5344\/55. Let l = -8373917\/28124 + -1\/7031. Let q = l + 583\/2. Find the common denominator of x and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 3755*c\/2 + 9400.\nAnswer: -(c - 3760)*(c + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 44*i + 874. Let g = -25 + i. Calculate the greatest common factor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(-2*d**3 - 3*d**3 + 2*d**3) - 13*d**3 + 5*d**4 + 0*d**4 - 3*d**4.\nAnswer: -d**4 - 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let m be (-8 - 4) + 4 - -8. Let q(t) be the third derivative of 0*t + 0 + 0*t**4 + 1\/30*t**5 - 3*t**2 + m*t**3. Determine q(f(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -28846?\nAnswer: -28841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -146, -424, -830, -1370?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5698\/(-1036)*(-18)\/(6\/(-2)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3219885*n**6*s - n**4*s - 1453*n**2 + 1071*n + 5*s wrt n.\nAnswer: 386386200*n**3*s - 24*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -22. Let y be 34 + 2*f\/(10\/(-3)). Find the second derivative of y*z - 13*z + 7*z**4 - 3*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -5 (c) 0.2 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 - 3*k + 1. Let q = -2 - -2. Let h = 2 - q. Calculate p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -18. Suppose -3*c = -4*c + l. Calculate the remainder when c is divided by (-6)\/(-12)*2*10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i + 6*i**2 - 4*i**2 + 2. Let a(w) = -w**3 - 7*w**2 - 5*w + 4. Let z be a(-6). Determine h(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssvvvssvsvtvsssvvs. Give prob of sequence tssv.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 717, 25, 116 in ascending order.\nAnswer: -4, -1, 25, 116, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 415 = -4*j + 3*q, 333 = 3*j + 5*q. Suppose -2*f - u + 50 = 3*u, 4*f = -5*u + j. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + 56*f + 792. Let g(b) = -14*b**2 - 168*b - 2374. Let x(s) = 4*g(s) + 11*o(s). Find i, given that x(i) = 0.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.65 in -3\/5, 2, 0.2, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 23*g + 98. Calculate c(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2300\/(-69))\/((-450)\/1080)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blll when four letters picked without replacement from {l: 8, p: 3, b: 7}?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 48 = -5*d. Let i(l) = 25*l - 1. Let o be i(1). What is the highest common factor of o and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562954?\nAnswer: 2, 7, 79, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/50)\/(10\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 95*s + 210.\nAnswer: -5*(s - 2)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfvwpcw. Give prob of picking 1 p and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8377*f**3 + 25130*f**3 - 8378*f**3 - 8374*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0114336 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1371 = -8*x - 1339. Suppose 4*f + 23 + 13 = x*u, 12 = u - 2*f. Solve n + 5*y = -9, 2*y = -3*n - 7 + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 76 = -11*c. Let p(o) = -2. Let t(n) = n - 9. Let s(x) = c*p(x) - 2*t(x). Calculate s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z - 161*z + 65*z + 156 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 591557 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10. Let p(j) = 2 + 3*j + 0 + j**3 + n + 2*j**2 + 2*j**2. What is p(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24572424.\nAnswer: 2, 3, 1023851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/(u\/(u**(-30\/11)*u))*u**(3\/22) assuming u is positive.\nAnswer: u**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.021, -1\/7, 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 25 + 12 - 842466*d.\nAnswer: -842466*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t**(1\/3)\/t)\/t*t))**(35\/2))**(13\/7) assuming t is positive.\nAnswer: t**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 1\/2, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2450736 (base 9) to base 4\nAnswer: -11011110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 1. Let w(j) be the second derivative of j**5\/20 - j**4\/3 - j**3\/6 - 11*j**2\/2 - 2*j + 40. Is w(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 20. Let a = 12 + u. Is 16 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.82 and 3.1?\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0321 + -0.1151. What is the nearest to 1 in 0.2, n, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15301.054 times 17?\nAnswer: -260117.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*g + 19*g + 156*g)*(2*g - 3 + 3) to k*g + v*g**2 + r and give v.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -390) + 0\/2. Let k = h + -32. Suppose 4*f + 0*f = k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10658 divided by -5329?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 104. Let d = -10 + 28. Calculate the least common multiple of d and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -1\/9, 1, -2.\nAnswer: -2, -1\/9, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14201 plus 8?\nAnswer: -14193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 0.5, 6, -4\/4645, 6\/5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (7 - 14 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/21 - -29\/42. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -0.3 (c) 0.4 (d) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.505 + 87.585. Round k to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(20)*-2))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a - 4. Suppose 3*s + 16 = b, -3*b = 2*s - s - 8. Let g be j(b). Suppose 5*x - 813 - 242 = g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 121.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6732 divided by -6142.\nAnswer: 3366\/3071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7)\/(42\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(3 - 2 + 1) - 4 + 5 - 8)*(7*y + 5*y - 6*y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*6*-2*(sqrt(175) + 1))**2.\nAnswer: 92160*sqrt(7) + 1622016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 2, k: 1, u: 3, g: 1, y: 3}. What is prob of sequence qqg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1055, -2111, -3165, -4217, -5267?\nAnswer: -6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1 + 0 + 0*c + c**2 + c. Calculate t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 - 2*b**2 + 2*b - 1. Suppose 12 = 5*p + 7. Let x be u(p). Let c(r) = 2*r**3 - 7*r - 1. Let t(j) = j**3 - 4*j - 1. What is x*t(y) + 3*c(y)?\nAnswer: y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -850, -1793, -2906, -4273, -5978, -8105?\n\"Answer: -14*z**3 - z**2 - 842*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:45 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -198368*v. Let p(a) = 5*a. Calculate m(p(s)).\nAnswer: -991840*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away -346821354.29?\nAnswer: 346821332.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-12\/7)*(j*j**(18\/7))\/((j\/j**(-16))\/j) assuming j is positive.\nAnswer: j**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137321?\nAnswer: 137321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396925206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 + 0*r**3)*(-197*r - 1258*r - 450*r - 692*r).\nAnswer: -5194*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42571 - -851489\/20. Calculate the common denominator of k and (-2)\/30*(-162)\/7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6439529.\nAnswer: 3\/6439529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5553, 9972, 14391, 18810, 23229, 27648?\n\"Answer: 4419*x + 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:17 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108320 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(2\/129)*z**(-1\/7)*z**(7\/4) assuming z is positive.\nAnswer: z**(5861\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/84 - (33\/(-63) - 0)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34369, 68701, 102995, 137239, 171421, 205529, 239551?\nAnswer: 273475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -238159\/30 + 15819\/2. Let t = r + 84\/5. Calculate the common denominator of (-9)\/(-12) - (-1084)\/48 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/72 and -97\/132.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-0.8.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.377 - -1.4. Let g = 1269 + -1268.097. Let u = g - o. What is u rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 7*a**3\/6 + 5*a**2 - 7*a. Find the first derivative of d(w) wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810 = 1030*t - 207*t + 14125 + 5640 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (124\/(-9))\/4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*x + 56 - 56 to l + k*x and give k.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63901?\nAnswer: 63901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 1308 + 866 - 2738 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 131*s - 5769. Let a(q) = 22*q. Give 6*a(v) - g(v).\nAnswer: v + 5769","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let l(a) = 4*a + 2 - 2 + h*a. Let i(q) = -5*q. Give i(l(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35111171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -466?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, u: 4, l: 3, d: 1, t: 2, a: 1}. What is prob of picking 1 s, 1 a, and 1 l?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrxxrr. Give prob of sequence xrrx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Let y(q) be the third derivative of -25\/6*q**3 + 0 + 0*q**4 + 0*q + 1\/30*q**5 - 10*q**2. Calculate g(y(s)).\nAnswer: -4*s**4 + 100*s**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-1)\/(-3)). Let m = -52.073 + 52.373. Which is the nearest to 2\/5? (a) t (b) m (c) -2\/5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-15) + 34\/6 + -2. Is 1*(549\/n + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56672, -56670, -56668, -56666?\nAnswer: -56664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -15*h**2 + 273*h - 1. Let p be r(0). What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 654638?\nAnswer: 654640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.5, 0, -3.7, -1 in descending order.\nAnswer: 5, 0, -1, -1.5, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -46\/939 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(616))\/sqrt(11) + sqrt(56) + sqrt(56) + sqrt(56))\/(-2*sqrt(128)) + (-1 + (sqrt(84)*-1)\/sqrt(12) + (sqrt(7) + 1)*5)**2.\nAnswer: 255*sqrt(7)\/8 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23074363091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0553 - -0.05529980848. Round g to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 37*v**4\/24 + v**3\/3 - 433*v**2 + 1. Let b(h) = -7917*h - 429. Give -2*b(p) - 429*z(p).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 4*o**3 - 2*o**3 + (2*o - 2 + 2)*(-40 - 7*o**2 + 40).\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15477*w**3 + 2*w**2 - 18999 with respect to w.\nAnswer: 46431*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 + -5. What is the biggest value in k, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6881 + 6882. What is the closest to z in 0, -5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 + -4?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 2. Suppose 0 = 40*y - 39*y - 59*y - 406. What is c(y)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9 + 1. Suppose 4*w + 4*g = 0, -r - 6 = -4*g. Calculate the remainder when (348\/9)\/(w\/(-3)) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1001*x - 243?\nAnswer: -1001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 324021, 648020, 971985, 1295904, 1619765?\n\"Answer: -2*t**3 - 5*t**2 + 324028*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189971, -762741, -1717357, -3053819, -4772127?\nAnswer: -6872281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1863, -1910, -1885, -1794, -1643, -1438?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*y = -2187*y - 24 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 2, t: 6, q: 5, z: 1, n: 2}. What is prob of sequence lzn?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3431?\nAnswer: 1715.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2668, -2658, -2648, -2638, -2628, -2618?\n\"Answer: 10*s - 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.034 and -2.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 694666*s**3 + 815980?\nAnswer: 2083998*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.8 + -12. Let s = i + 0.2. Let p = s + 2.1. Put -1\/12, -2\/11, p in decreasing order.\nAnswer: p, -1\/12, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.07 (c) -4\/2729\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:25 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1563 and 4471743.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w. Let u be r(-18). Does 18 divide 2 + (-8)\/36 + 10952\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 28\/36. Which is the closest to -1? (a) w (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2321552*m**2 + 7466225*m wrt m.\nAnswer: -4643104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)*i**(-4) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 2471, 8375, 19873, 38831, 67115, 106591?\nAnswer: 159125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14060 is divided by 227?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/9 + 383934532*w**3\/9 - 18425715991691906*w**2\/9 + 4094603425731136*w - 2047301691535872 = 0.\nAnswer: 1, 95983632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -67. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + 8*t)*(6*t**2 + 2*t**2 - 4*t**2) to s*t**3 + b + j*t + v*t**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*t**4 - 1871*t**2 + 1871*t**2 - 1 + (-4*t + 2*t - t)*(t**3 - t + t).\nAnswer: 44*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 6. Let u(y) = 5*y + 48. What is -9*o(k) + u(k)?\nAnswer: -4*k + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191.2 + 207. Round v to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -665.04 + 678. Let i = 0.211 - -12.789. Let v = i - y. Put -0.3, v, 1\/6 in increasing order.\nAnswer: -0.3, v, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4657 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/sqrt(6)*5))\/((6*sqrt(70)*5)\/sqrt(10)).\nAnswer: sqrt(3)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -22*f + 19. Let p(j) = 11*j - 9. Suppose -h = -0*h + 9. Let u(k) = h*p(k) - 4*o(k). What is the lowest common multiple of u(-2) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - 20f?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 2, b: 2, f: 4, l: 1, s: 2}. What is prob of picking 2 e and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (99\/22)\/(3\/(-72)). Let f be (-36)\/g + 2\/(-18). Factor -2\/3 + 4\/9*a + f*a**2.\nAnswer: 2*(a - 1)*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.596349 - -0.094489. Let k = l + 10.5. What is k rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 + (147\/(-7))\/7. Solve t = 3*a - s, 0 = 2*a + 4*s - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 490 = -0*a. Suppose 2*n = 4*n - a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163069 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*m + 24 + 3, 0 = l + 4*m - 16. Solve -q - l = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -8. Let l = -363 + 379.6. Let d = -17 + l. Which is the closest to k? (a) 5 (b) d (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4. Let d(g) = 2*g**2 + 7. Let x be (-8)\/40 - 21\/(-5). Let u(n) = x*d(n) + 7*s(n). Let v(p) = -3*p. What is v(u(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17 - -4 - -9)\/((-4)\/(-6)). Let j = -34\/5 - l. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206\/3 - -1685\/24. Calculate the common denominator of -51\/22 and x.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229690?\nAnswer: 2, 5, 103, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, -4, 5, -20855, 4 in descending order.\nAnswer: 91, 5, 4, -4, -20855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -358 - -353. Sort 0.1, t, 0.5, 1\/6.\nAnswer: t, 0.1, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2048.6 and -96101026.\nAnswer: -96103074.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 10435?\nAnswer: 10437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -1. Let l = -3 - g. Let v = 26 - l. Calculate the least common multiple of 12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:50 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 12*u = 392. Let j = 132 - u. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3\/140, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 167564804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 + 335569*p\/3 - 1454076 = 0 for p.\nAnswer: 13, 335556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 0 (c) -6 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Suppose -4*x - 2*n + 28 - 4 = 0, -3*x + 24 = h*n. Let d = 7\/2 + -15\/4. Which is the closest to -1? (a) d (b) 4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220093 + -130532. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178861343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.58018 rounded to 2 decimal places?\nAnswer: -4.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/7 - 2056*l**3\/7 + 4120*l**2\/7.\nAnswer: -2*l**2*(l - 2)*(l + 1030)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253562?\nAnswer: 2, 126781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46369229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 33*o**2\/2 + 32*o + 96. Let x be z(-32). What is the nearest to 0.1 in x, 0.041, 2\/5?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92 in 0.3, 2\/7, -2, 216?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*a + c, -a + 6*c = 3*c - 1. Let q = a + 5. Let l be -1 + q\/12*-4. Solve l + 20 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 20*a**2 - 9*a - 81. Let j be u(-20). What is the greatest common divisor of j and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275\/366 + 1\/732. What is the closest to i in 1\/4, 5, -3, 3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 - 378402*y - 35797018401 = 0.\nAnswer: -189201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1188147 or 1188141?\nAnswer: 1188147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {i: 2, n: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -57, 32, 121, 210, 299?\n\"Answer: 89*w - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*f**3*t**2 - f**3*t - 58*f**3 + 27569*f*t**2 + 3*f*t + f - t**2 + 28*t - 26 wrt t.\nAnswer: -232*f**3 + 55138*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -2*x - 5*m, 5*x = 4*m - 8. Let k be -1 - (x - (-3 - -5)). Find the first derivative of 4*n - 1 - 1 - k wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28322 + -13309. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 161565*o - 807834. Give m(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -11*s + 8*s. Is (-20)\/s*6\/3 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -3 (b) -1\/4 (c) -0.024828\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.524 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 4*w - 7. Let x be m(6). Solve 0 = -4*s + 5*s + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24*4*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, -4 in descending order.\nAnswer: 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - l)*(0 + 2*l**2 + 0) + (-l + 41 - 41 + (-7 + 7 + 4*l)*(3 - 3 + 1))*(l**2 + 1 - 1).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35419 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*w + 108, 4*p + 5*w + 173 + 38 = 0. Let b = p - -62. Suppose -f + 5*y = -53, -b*f - 4*y = -y - 159. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, p: 5}. What is prob of picking 1 e and 1 p?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 1, -1, -4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/9)*f)*f*f\/(f\/f**(4\/7)*f)*f)\/((f*f*f**6*f)\/(f*(f**13*f)\/f)) assuming f is positive.\nAnswer: f**(421\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/(2\/2). Suppose -2*f - z - 32 = -3*i, 36 = 5*i + 3*f. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3 + 1623*j**2 - 16887*j - 196707 = 0.\nAnswer: -551, -7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12.2. Let l be (-16)\/(-48) - 20\/42. Let y be (-26)\/(-7) - (-2)\/7. Which is the smallest value? (a) y (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n, -16*k + 14*k - 3*n + 69 = 0. Suppose -k*j + 62 - 62 = 0. Which is the biggest value? (a) 202 (b) 2 (c) j (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/6, 12.88, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 38 + 84 - 22*m**2 + 2*m**2 - 29 in the form d*m + j*m**2 + i and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - 8) + -19 + 19 + 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -19. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (3 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*m - 16\/11*m**2 + 8\/11 + 4\/11*m**3 - 2\/11*m**5 + 8\/11*m**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 1 c when three letters picked without replacement from {c: 1, y: 1, e: 1, n: 1, k: 1, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.4, 23, 0.09, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*y - 10, -603*k = -585*k + 5*y + 62 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260533\/75120 + 1006\/313. Find the common denominator of k and -107\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -30666170.\nAnswer: 36799404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*h - 4*j + 81 = 70*h, -2*h - j + 19 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppmpmppmcpmmppmcm. What is prob of picking 3 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - 149.09. Let w = -0.17 + 0.27. Put w, z, -4 in ascending order.\nAnswer: -4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*z = -16 + 6, -z + 2 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 640112*-0.66\nAnswer: -422473.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 9*x + 11. Let t be w(8). Solve -d + t*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 69*w**2 + 1325*w - 85. Let o(h) = -208*h**2 - 3988*h + 252. Let f(g) = 8*j(g) + 3*o(g). Factor f(m).\nAnswer: -4*(m + 19)*(18*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 4. Let i = q + 11. What is the highest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2881185, -2881190, -2881199, -2881212, -2881229, -2881250, -2881275?\nAnswer: -2881304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 3*r + 1)*(-3*r**3 + r**3 - r**3).\nAnswer: 9*r**4 + 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 3 (c) 2\/9 (d) -3 (e) 9.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8453, 16851, 25249, 33647, 42045, 50443?\n\"Answer: 8398*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*z, -5*w + 2*z = 6*z + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5386*h**5 + 1904*h wrt h?\nAnswer: -107720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013116 rounded to 4 decimal places?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 5. Let a(l) = l + 3. Let r be a(1). Solve -x*d = -2*h - 20, -r*d + 2*h + 11 = -7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - 2*t)*(-6834*t**4 - 4 + 7111*t**4 + 4).\nAnswer: 277*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(72)\/sqrt(108)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times -76471?\nAnswer: -3135311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -49. Suppose i*b - 6*b = 237. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*p**3 + 14592992*g**2*p**2 - 2*g**2 + 2*g*p**3 + 23*g*p**2 + g*p - 50*p**3 + 1050*p**2 - p wrt g?\nAnswer: -4*p**3 + 29185984*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3523 divided by 3523.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s - 5*x + 99, 4*x = -5*s - 93. Let m be -1*3*2\/s. Let w = -11\/35 - 2\/105. Put m, w, -1 in increasing order.\nAnswer: -1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 168*z - 1524. Give v(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -35. Let m = b - 7. Differentiate 2*a**m - 8 - a**3 + 5*a**3 with respect to a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*v + 2717*v - 922*v - 945*v.\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -3*t, -z = 2*z - 3*t - 6. Let x be -1*(1\/(-1) + -4). Let i = x - 5. Solve i*w = z*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2450) + -1*(0 + sqrt(2450)))**2 + (4*2*sqrt(250) + sqrt(250))\/sqrt(5)).\nAnswer: 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14933, -2, 220.\nAnswer: -14933, -2, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -45672638 divided by 108229\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10529 + -284342\/27. Calculate the common denominator of h and 71\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -n - 3*n. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:39 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -4*a - 13*r + 28, -3*a = 5*r - 16 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2\/(-3))\/((-3)\/23067)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 0*n**3 + 0*n**2 - 1\/22*n**4 - 101 + 0*n. Find v such that u(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 - 47?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-684)*3*-3. Let t be (-21)\/(-98) - 6\/420. What is the smallest value in t, m, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -79, -72, -63, -52, -39?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * -229.\nAnswer: -14198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 449.\nAnswer: -5\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107862, 107865, 107870, 107877?\nAnswer: 107886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 84*j.\nAnswer: 4*j*(j - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1124.2125876 to 1 dp.\nAnswer: -1124.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*t**4 - 60\/7*t + 16\/7*t**3 - 144\/7 + 26\/7*t**2.\nAnswer: 2*(t - 2)*(t + 3)**2*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let x(y) = 36103*y**2. Determine x(j(d)).\nAnswer: 144412*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let z(l) = -2*l**2 + 5*l. Determine 2*q(c) - z(c).\nAnswer: 2*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.1, -0.5, -1, 2\/19155 in increasing order.\nAnswer: -3, -1, -0.5, -0.1, 2\/19155, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1015 + 5?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-5) - (-36)\/(-60). What is the third derivative of -12*d + 5*d - 3*d - 108*d**5 + 4*d**2 - 2*d**4 - w*d**2 wrt d?\nAnswer: -6480*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74865 and 775?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/12 + x**3\/6 + 5*x. Let f be z(0). What is the remainder when 55 - (-5)\/15*f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2931, -5883, -8839, -11799, -14763, -17731, -20703?\nAnswer: -23679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 177210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 = 2*u + 17, c = -2*u. Suppose 0 = c*o, 2 = -3*q + o - 25. Are -7 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:30 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 20. Let t be (-4)\/(-16) - 38\/f. Suppose -t*a - 61 = -5*l + 79, -5*a - 44 = -l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1967569307 to five dps.\nAnswer: -0.19676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 9, 0.2, 3\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35283, -70537, -105791, -141045, -176299, -211553?\n\"Answer: -35254*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -967, -1842, -2719, -3598, -4479, -5362, -6247?\nAnswer: -7134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + 1) - 2 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -68166000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64911953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1089165 + 23*b**2 + 1089165 - 127*b)*(b + 3*b - 3*b) + 3*b**3 - b**3 - 4*b**3.\nAnswer: 21*b**3 - 127*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3, -2\/5, -7\/3, 30\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 7. Determine r so that -15 + 13 + 12*r**2 + 2*r - 5*r - w*r**3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.371593756 to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let w(m) = -5*m. Is w(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46356*k + 46356*k + 2*k**2 - 12*k**3 + 1 in the form a*k + h*k**2 + g + u*k**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is the next term in -4002, -7867, -11588, -15159, -18574, -21827?\nAnswer: -24912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 22*j - 3*j - 15*j - 3*j - 3*j. Let q(u) = -6*u**2 - 5. Give q(g(b)).\nAnswer: -24*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14. Let j = 5 - z. Suppose 3*i = j*i - 66. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*m + 4*a + 53, 3*m + 2*a - 8 = 0. Let q be m\/9*3 - (-4 + 1). Suppose 5*o - q + 0 = 0. Solve t - o - 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2455 + 2458. Let i = -24.11 - -24. Let s = i - -4.11. What is the nearest to 2 in s, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 801.08 - 801. Put h, -20, -2\/5 in ascending order.\nAnswer: -20, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 52. Let m be z(13). Solve -3*g - 7 - 2 = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17102 or -453?\nAnswer: 17102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4*v**2 - 11*s**2 - 42*s*v**2 - 333191*v**2 wrt s?\nAnswer: 8*s**3*v**2 - 22*s - 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5486 = 12*m - 8734. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/6426)\/(8\/(144\/(-45)))*-3*9.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -37. Let o = v - -3. Suppose -6*x + 336 = o*x. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 27*p**5\/20 + 27*p**4\/2 + 91*p**3\/2 + 45*p**2 - 189*p\/4 + 119. Let v(q) = 0. What is q?\nAnswer: -3, -7\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2359*m + 2359*m - 4*m**3 + m**2.\nAnswer: -4*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9438 and 1096953?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.88 - -0.12. Let n = m - 8.5. Let h = 13 + -11. Which is the third biggest value? (a) n (b) h (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -34*u - 15*u - 4*a, u - 5*a + 4*a - 18 = -0*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 85282.72 meters?\nAnswer: 85282720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 5*w + 6. Let a be g(-3). Suppose 11 = 3*k - 4. Let y = a - k. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:19 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28337 is divided by 48.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 9.8. Let h = y - -2.7978. Round h to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2591, 21, 7, 4 in decreasing order.\nAnswer: 2591, 21, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*o + 13. Suppose 0 = -4*i + 5*d + o, -4*i - 6 = -0*d + 2*d. Let y(k) = -k + 4. Give y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/20 and 47\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/33357240 and 179\/19061280?\nAnswer: 133428960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 12 + 1503*k**2 - 1503*k**2 + k**3)*(2 + 2 + 0)*(2*k**2 + 0 + 0).\nAnswer: 8*k**5 + 24*k**3 + 96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 45*n - 221. What is a(4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 25*q**2 + 89*q + 190. Let l be c(-2). Calculate the highest common divisor of l and 2352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*z + 56 = 0, 5*v + z - 43 = 48. Let t = v + -15. Suppose -t*y + 41 - 13 = 0. Calculate the remainder when 19 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20750898 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1 + (7 - 1908). Let y = -1106 - u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 - -250. Sort 104, -4, o in decreasing order.\nAnswer: 104, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1326 and 67704.\nAnswer: 1150968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243786543?\nAnswer: 3, 9277, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 17 - 17 + 2096*t**2 - 17 - 14.\nAnswer: 2096*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-459)\/(-3)*(-696)\/(-36). Suppose 153*y - 150*y = p. What are the prime factors of y?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110010100110 + 110?\nAnswer: -10000110010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 - 94\/(-4). Let m = h - 7. Suppose -3*i + 2 = -10. What is the greatest common divisor of m and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3. Suppose -3*u - 6 = -2*u. Let s = 51 + -50. Let f(p) = 9*p**3 - 2*p**2. Give s*f(b) + u*j(b).\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4 = -18. Let j be 2 - 2 - y\/27*3. Which is the nearest to j? (a) -1\/4 (b) -5 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**4 + 6*a + 11. Let c(v) = -2*v**4 + 3*v + 6. Let i(x) = -11*c(x) + 6*d(x). Find the second derivative of i(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -1\/5 (c) 255\/16 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61667 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) -2\/3 (c) -8\/7 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14672 is divided by 523.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 66617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(2\/11)*h\/(h*(h\/h**(3\/2))\/h)*(h\/(h\/(h**(-1\/3)*h))*h)\/h**(2\/25)*(h*h*(h**1*h)\/h)**(-42)\/(h**0)**(2\/79) assuming h is positive.\nAnswer: h**(-201457\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -63*f**3 + 7*f**2 + 11*f - 1. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5711.16 - 5716.16. Let b be (-4)\/14 - 10\/14. Let p(w) = 10*w. Let j be p(b). Sort -4, k, j.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + 4198 - 8389 + 4191. Let x(g) = 104*g**2 - 2*g. Give x(l(s)).\nAnswer: 6656*s**4 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -36, 0.08, -0.2, 3, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:54 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 33*h**3 + h**2 - h + 1. What is the tens digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -152778.\nAnswer: 7\/152778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k - 19*k - 1170 = 2873 + 171 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (69\/2)\/(3\/(-126)). Let x = i + 11575\/8. Find the common denominator of 13\/3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:26 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s - 100. Calculate the least common multiple of x(14) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24987001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1)*-4.\nAnswer: -40*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(16 - 18). Let y = -3.09 - 1.87. Let w = 0.04 - y. Which is bigger: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 696 (b) -2\/7 (c) -2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -541*k**3 + 60*k**2 - 46*k - 7. What is h(1)?\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, -3, 0.4, 3 in ascending order.\nAnswer: -3, 0, 1\/4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y, 4 = -3*o + 4*y - 3. What is the second derivative of -13*v**3 - 12*v - 2*v - o*v wrt v?\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3881891.\nAnswer: 13, 298607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 8. Let o(c) = -c**2 + 6*c - 5. Let l be o(5). Let n be g(l). Suppose 5*h = 18 - n. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3658*t**2 - 13 + 4 + 9 + 0 to the form b*t**2 + k*t + z and give b.\nAnswer: -3658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.02 (c) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, 55, 318, 691, 1180, 1791?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47616074, 95232145, 142848214, 190464281?\nAnswer: 238080346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 - -117. Suppose -2*t = -v*t. Is 2\/255 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (27 - 18) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11877635 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2087, -6379, -10667, -14951, -19231, -23507, -27779?\n\"Answer: 2*p**2 - 4298*p + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/5))**31\/(w**(-1\/4)\/(w*(w\/((w**(-3)\/w)\/w*w)*w)\/w)))\/((w**(4\/7)*w*w\/(w*(w**(-4\/7)*w*w)\/w)*w)\/(w*w**(2\/9)*w**(-4\/9))) assuming w is positive.\nAnswer: w**(60839\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193741551 divided by -62037?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(-3168*u**2 + 30*u**3 - 3174*u**2 + 6342*u**2 - 163*u).\nAnswer: 120*u**3 - 652*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426439 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -47*h**2\/2 - 2*h + 2434. Let s(j) = -187*j - 9. Calculate 9*n(u) - 2*s(u).\nAnswer: -49*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 7*p + 24 - 18 + 4.\nAnswer: 7*p + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -39, -185, -421, -753, -1187, -1729?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5755 (base 9) to base 2.\nAnswer: -1000010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125042567 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641*h + 1924 = -2493*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 50*b**2 - 36*b + 22. Let f(y) = y**3 - 18*y**2 - 13*y + 7. Let i(r) = -11*f(r) + 4*z(r). Determine i(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268183439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 102427815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(45) - (sqrt(360)*1)\/sqrt(8))\/sqrt(9) + (sqrt(720) + -2 - (sqrt(320) + -3)**2).\nAnswer: -330 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1873\/7 + -268. What is the nearest to -4 in -2, f, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1095? (a) 4 (b) -22.93 (c) -9 (d) 1\/6 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3655*x**2 + 1856*x**2 + 1880*x**2 + 2*x.\nAnswer: 81*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -2*c**7\/1155 - c**6\/132 - 2*c**5\/165 - c**4\/132 + 16*c**2. Find m such that b(m) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*g + 15 = 0, 7*i - 2*i - 3*g = -17. Let v be (-3)\/(-9)*0\/i. Suppose v = 5*y + 11 - 171. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 1. Let z be 3*2*2\/12. Suppose 0 = 5*l + 43 - 18. Let b(x) = 6*x + 5. Let w(o) = l*q(o) + z*b(o). Let u(k) = 2*k**2. What is w(u(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 155. Suppose 12*g = k + 123. Put g, -2, -5, 3 in descending order.\nAnswer: g, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 1850\/21. Which is the nearest to -0.2? (a) 0.3 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7018 (base 12) in base 4?\nAnswer: -2331110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 22*p**2 + 240*p + 922. Let k(n) = -14*n**2 - 160*n - 620. Let b(v) = 8*k(v) + 5*u(v). Factor b(d).\nAnswer: -2*(d + 5)*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -60. Let g be 0\/(14\/c) - (-4 - -2). Solve 0*v + g = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 4*q - 1. Let o(p) = 36*p**4 + 231*p**3 + 529*p**2 + 544*p + 193. Let b(y) = 3*g(y) - o(y). Factor b(t).\nAnswer: -(t + 2)**2*(6*t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5328\/8658)\/(36\/26).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -1.26.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 j when three letters picked without replacement from jcvwq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -19*u**8\/168 + 7*u**5\/60 - 31*u**2. Find the third derivative of h(y) wrt y.\nAnswer: -2280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -23, 6\/5, 5\/2, -1\/25 in descending order.\nAnswer: 5\/2, 6\/5, -1\/25, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 22*t = -10*t - 2015 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -35618731\nAnswer: -28494984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1))\/(3*8\/(-456)). Let u = 941 + -942. What is the third biggest value in 0.3, u, y, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 302*w - 300*w - 4*w**3 + 3*w**4 - 5*w**3 - w**2 to the form l*w**2 + c*w**4 + r + k*w**3 + j*w and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t - 8. Let g be p(6). Let w be (-25)\/40 + 1\/g. What is the smallest value in -5, w, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (12 - 7) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 106*n + 13076. Calculate the lowest common multiple of 8022 and c(179).\nAnswer: 24066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 5*t - 3. Let l be a(-3). Suppose 0 = 2*x + l*x. Solve x = 4*u - 8, -6*u - 2 = 4*f - u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 39 = -5*m, -4*m - 5*h + 60 = m. Solve -5*z - y - m = -1, -z - 3 = -2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2463, -2497, -2471, -2355, -2119?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 17629149.\nAnswer: 17629169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 12 = -13*f. What is the least common multiple of f and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6)*4 + sqrt(78)\/sqrt(6) + 4.\nAnswer: 4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*l - 31, 0 = -5*i + 5*l - 7 + 2. Solve 15 = 5*p - 2*r, -i*r = 5*p - p - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13996 - 84536530.73?\nAnswer: -84550526.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2460 and -79\/94.\nAnswer: 115620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + s**5 + s**3 + (-2*s + 2*s - s**2)*(2*s**3 + 0*s**3 - 4*s**3) - 16*s**5 + 7*s**5 - 19*s**5.\nAnswer: -25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447414605?\nAnswer: 5, 11, 53, 153487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 103*q + 1827. Let j be g(-17). Solve -54*d - j = 86 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*m - 6094 + 2773. Calculate the remainder when 270 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8840, 8846, 8852, 8858, 8864?\nAnswer: 8870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (11 + 1)) + 2 + -2 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, w: 2, l: 1, p: 1, g: 1}. Give prob of picking 1 c and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250.56 + 251.56. What is the nearest to u in -1\/2, 2\/5, -0.92, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213 by -71.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2001 = -5*o, o = -5*m - 0*m + 411. Let b = -400 + o. Let v(y) = 5*y - 3 + 3. Give v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 34. Calculate the greatest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*-2*-2*1.\nAnswer: 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Suppose p = 2*g - g, 5*g = -3*t + 8. Let i be 13 + -12 - (t\/(-14) - -1). Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a - 0. What is the closest to a in 3, 0, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48318305 * 3\nAnswer: 144954915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.999 + -0.001. Let h = 6 + -9. Put h, 0, t in descending order.\nAnswer: 0, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/13 or -1\/7757?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 i when three letters picked without replacement from {w: 6, i: 2, q: 4, e: 3}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 20, -3 in descending order.\nAnswer: 20, 6\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*z + 7234, -2*p + 1059 = -3*z - 2569. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*l - 95, 4*l - 5*l + 44 = -4*x. Suppose 4*d - 5 = 11. Solve -5*p - l = -d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*c = 17, -5 = b - 5*c - 15. Find the second derivative of 5*m - 2*m + 2*m**b + m**5 + 0*m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6664 is divided by 6407.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -177 - 2969. Let j = w - -374. Calculate the highest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 3 + 0*l + 2*l**2 - 1 - 2*l. Let b be t(4). Put 1, -2, b in decreasing order.\nAnswer: b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9365.35341 to the nearest integer.\nAnswer: 9365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009814763 to 6 decimal places.\nAnswer: -0.000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*(-840)\/12. Suppose -37*z = -33*z - k. Find the first derivative of 5 - 5 - z*q + 6 wrt q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(4\/11)*k)*k)\/k**(-8)*(k\/(k*k**(-1)*k*k*k))\/((k**(2\/3)*k)\/k) assuming k is positive.\nAnswer: k**(230\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*q**6*t**2 + 1253921*q**3*t**2 - 208*q**2*t**2 + q**2*t - 3604*q**2 + 22*t**2 wrt q?\nAnswer: -3840*q**3*t**2 + 7523526*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-89*3\/(-3540))\/((-5)\/(175\/14)) and -24\/59?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-2) - (-4 - -2). Let p = g - 20. What is the derivative of 0 - 8 - 36*f**2 - 6*f**p + 36*f**2 wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 11*g + 108. Calculate a(7).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2. Let y(k) be the first derivative of 10*k**3\/3 - 2*k + 60. What is j(y(v))?\nAnswer: 300*v**4 - 120*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 1532371071754.\nAnswer: -1532371071754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(1 + sqrt(48)))**2.\nAnswer: 160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let z be ((-4)\/2 - -2) + -1. Let n be k(z). Suppose 2*a = o - n*o + 327, -5*a + 820 = -5*o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 477*a**2 - 475*a + 173. Give v(158).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-11\/6)*(t*t*(t**(2\/3)*t*t)\/t)\/t**(-4) assuming t is positive.\nAnswer: t**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhmhmmhm?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = -3 - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21133 - -10330111?\nAnswer: 10302312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1179*k**3 + 1179*k**3 + 2 + 121*k**2 + 22*k**4 wrt k.\nAnswer: 528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3 - -3) + 6 - (-21 - -58).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30026 + 30028.5974. Let y = 0.2 + 2.4. Let b = t - y. What is b rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17290 - 7271 = -3*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.129003156 rounded to 4 decimal places?\nAnswer: -9.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.302 rounded to 0 decimal places?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, v: 2, e: 5}. Give prob of sequence evtt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74271381 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*m**2 - 2 + 1 - 102*m**2 to a + n*m + y*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71224 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-36) - 254\/(-8). Let w be 32\/a*108\/240. Let t = 2\/31 - w. Which is smaller: t or 5\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 447*s**8\/8 + 515*s**4\/6 - 781*s + 3. Find the third derivative of q(f) wrt f.\nAnswer: 375480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 3*f + 4*f)*(-422*f + 69 - 45 - 24) as t + l*f + w*f**2 and give w.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156406 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 953, -8 in increasing order.\nAnswer: -8, 0, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjdvwvkv. What is prob of sequence vvd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 18 - 20)*(4*s - s - 4*s)*(28*s + 41 - 17 - 22).\nAnswer: 112*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 8.2?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34689, -58159, -81629, -105099, -128569, -152039?\nAnswer: -175509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - t = 4*t - 34, 3*t + 6 = 2*u. Let y be ((-1)\/3)\/(2\/u). Let h = 7 + -11. What is the second smallest value in 5\/6, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195976 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -55*y**3 + 106*y**2 + 318*y - 16. What is u(-3)?\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/3, 6.2, 2\/3, -23 in decreasing order.\nAnswer: 6.2, 2\/3, -2\/9, -1\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/15)\/(2\/(-5)). Suppose u = -5*w + 14, -2*w + 16 = 2*w + 2*u. What is the smallest common multiple of n\/4 + 10\/4 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -7) + 3 + -2. Suppose i*c + 2 = -5*u + 27, 0 = -4*u - 3*c + 20. Solve -u*d = -3*m + 14 + 6, -2*m + 14 = -4*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2\/219, 4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239060282 to the power of 1\/2, to the nearest integer?\nAnswer: 35200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjr when three letters picked without replacement from rrrjjrjrjr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -323 - -329 - (1 + -12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 6*k - 3. Let x be r(-6). Let b(u) = -2*u - 3. Let i be b(x). Let c be ((-2)\/(-4))\/(i\/(-6)). Is -2\/3 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + s**2 + 8*s - 6. Let v be o(2). Solve -14*x = v + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*m + 2*m - 11, 2*a + 14 = 4*m. Find the second derivative of 4*r + 0*r + r**3 + 0*r - a*r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxw when three letters picked without replacement from {x: 3, o: 5, g: 1, w: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/84 and -107\/1452?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 3*q + 5*b, 4*q = 3*b - 2*b - 92. Is (460\/q - 2)*-6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/((f\/f**7)\/f)))\/f))**(12\/5)*(f**(-2\/3)*f*f)**(2\/5) assuming f is positive.\nAnswer: f**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 6*t - 26*t - 2*t**2 + 3*t**2 + 5*t.\nAnswer: t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 297369 + 0.3?\nAnswer: 297369.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -9, -50, 1161, 1, -5 in increasing order.\nAnswer: -50, -9, -5, -2, 1, 2, 1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5270 + -103.94\nAnswer: -5373.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/47 + -117\/470. Put -2, -0.3, -1\/3, f in decreasing order.\nAnswer: f, -0.3, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 20. Let j be w(16). Suppose 95 = j*m - 11*x + 6*x, -m = -x - 25. Suppose 0 = -5*s - m + 460. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/11 + 1358*t**4\/11 + 337862*t**3\/11 + 36276810*t**2\/11 + 1383918192*t\/11 - 4487478624\/11 = 0 for t.\nAnswer: -212, -129, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7108)\/6)\/(-4 + (-102)\/(-27)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5435?\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2924 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*j - 13 = 0, -2*j + 1 = -0*a + 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102101 + 10001012?\nAnswer: 2121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j + 1 + j - 2*j. Let r(l) = -l - 6. Let y be r(-5). What is the tens digit of n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 0.1, 1, -0.01, 6\/23, -4\/3?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -435386*j**3*m**2 + 2*j*m**2 - 807*m**2 + 393*m + 1 wrt j?\nAnswer: -1306158*j**2*m**2 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389129 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3\/3 + 13*a**2\/2 + 3*a + 10. Let m be z(-13). Solve -3*t + m*h = 21, 2*t = -t + 2*h - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*k - 5*j + 26, 3*j - 2*j = -10*k + 24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93662 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 41. Sort -3, -1, 1, o in ascending order.\nAnswer: -3, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 28*h - 118. What is the least common multiple of 2 and r(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 0 + 4)*-6 + 3)**2 - (2 + sqrt(7) + (sqrt(7) - sqrt(49)\/(-1*sqrt(7))) + (sqrt(7) - sqrt(21)\/sqrt(27)) + 4).\nAnswer: 9061*sqrt(7)\/3 + 36723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012011012 - 202221?\nAnswer: -2012221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 - 0.24653?\nAnswer: -1137.24653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 340*d + 50. Let c(k) = 20*k + 3. Let n(i) = -100*c(i) + 6*q(i). Let u(r) = r**2. What is n(u(s))?\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 2 l when four letters picked without replacement from hjlgjmljjjjm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = n + 2*n, -5*g + 16 = 3*n. Let m = -2 + g. Solve m*v = -2*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + 70\/4. Do q and 17 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 + 273.98. Which is the second smallest value? (a) l (b) 0.4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23, -35, 2, 210 in increasing order.\nAnswer: -35, 2, 4, 23, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*z**3 - 37*z**3 + 1797 - 1094 - 510*z - 265*z**2 - 1063 - 10*z**4 + 5*z**4.\nAnswer: -5*(z + 2)*(z + 3)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1634943?\nAnswer: 16349430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151406 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -3 - (-6 + (0 - -19)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 25483*h + 14430*h + 39770*h - 19099*h.\nAnswer: -4*h**2 + 60584*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*f = 16, 3*m - 4*f - 32 + 0 = 0. Let u(l) = -28 - 2*l + 15 - 4*l**2 + 5*l**2. What is the smallest common multiple of u(6) and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461180.\nAnswer: 2, 5, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25324041 (base 6) to base 3.\nAnswer: -1112122202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 364 - -71803?\nAnswer: 72067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -138, 127, 478, 903, 1390, 1927?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -p. Let c be ((-4)\/5)\/(12\/p). Do c and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-40)*20\/(-44)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1609908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 31 + y**3 - 86*y**2 + 29 + 2*y**3 to r + b*y + k*y**3 + l*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n)**(-2\/113)*(n*n**(1\/4))**(-7) assuming n is positive.\nAnswer: n**(-3963\/452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 5, 59, 145, 269, 437?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 14593333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224443 (base 5) in base 16?\nAnswer: -99cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110000100001011 + 111011?\nAnswer: 101100110000101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4\/7 (c) -0.5 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -0.14734.\nAnswer: 0.15266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116372331, -116372314, -116372271, -116372190, -116372059, -116371866, -116371599, -116371246?\n\"Answer: 2*u**3 + u**2 - 116372334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25491, 203873, 687991, 1630695, 3184835, 5503261, 8738823?\nAnswer: 13044371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1610*x**3 + 35*x - 50*x**3 + 233*x**3 - 13*x - 20*x.\nAnswer: -1427*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1151 - 2288 - 33*c**3 + 1145 as s*c**2 + a + w*c**3 + k*c and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155 and -3.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a + 10*a**4 - 21 + 21 - 16*a**3 + a + 2*a**2.\nAnswer: 2*a*(a - 1)**2*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -445. Let l = 735 + b. Is 46 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6853877010386900.99999945 + -6853876548894984. Let b = a - 461491903. Let i = 14 - b. Round i to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.761559 micrograms in nanograms?\nAnswer: 761.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 + 4*g**3 + 0*g**3 + 0*g**3 + 0*g**3 - 2*g**3 - g**3 + g**3 - g**3 + (-2*g**2 + 0 + 0)*(2 - 2*g - 2) - 2*g**3 + 2 - 2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 38 = -4*j, 7*j = 4*j - 5*h + 25. Suppose 9*y = -j*y. Let t(f) = f**3 - 6*f**2 + 2. Let w be t(6). Which is bigger: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1302*j**3 - 1030*j**3 + 2339*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 8*f - 9*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqh when three letters picked without replacement from {s: 1, i: 3, h: 11, u: 1, z: 1, q: 3}.\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 533016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t**2 + 20*t - 44. Let i(y) = -y**3 + 27*y**2 - 43*y + 88. Let p(j) = 9*a(j) + 4*i(j). Let o(f) = 3*f**3 - 5*f + 29. Determine -8*o(r) - 5*p(r).\nAnswer: -4*r**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73883 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -889, -1753, -2637, -3553, -4513?\n\"Answer: -2*l**3 + 2*l**2 - 856*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = 4*y, -2*w + 6*w - 8 = 2*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 + a**4\/12 - 2*a**3\/3 + 19*a**2. Give q(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (55 - (-4 - -19))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-80)\/35. Let b(v) = -3*v**2 - 1 - 3*v - 1 - 4 + 8*v**c. What are the prime factors of b(4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87, -265, -443, -621, -799, -977?\n\"Answer: -178*m + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 31*n**2 + 108*n - 73. Give l(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 9*a**2 + 19*a + 3. What is the units digit of y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/15*2)\/((-4)\/(-6)). Let s(u) = 22 - 22 - o*u. Let i be s(3). Let b(h) = -h**2 - 5*h + 2. Determine b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let q = -3946 + 3959. Calculate m(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 26*v - 4*l + 545 = 0, -3*v = -2*l - 327. Calculate the greatest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 224992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1704625291084 and 26.\nAnswer: 1704625291110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2964 by -247.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16025 = 14*h - 3663. Let n = h - -1731. What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = h - 0*a + 10, 3*a + 15 = -4*h. Suppose 5*i = -p + 2*i + 49, h = -3*p - 2*i + 140. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 42579*p - 85104. Determine y(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*n + 20, -5*m - 3*m - 61 = m + n for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*k**2*p**2 - 2*k**2*p*t - 41*k**2*t + p**2*t - 2*p**2 + p wrt t?\nAnswer: -2*k**2*p - 41*k**2 + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55240.605 times -2?\nAnswer: 110481.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437836 is divided by 745?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + n - 4. Let g be z(-7). Suppose 131 = 13*k - g. Suppose 0 = k*r - 263748 - 52152. What is r rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from hmmdzzhhd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 1. Let n(o) be the first derivative of 4*o**3\/3 + o**2\/2 - 8*o + 14. Determine -n(p) + 6*y(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*r = -458*r - 46113. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -55*j + 2. List the prime factors of y(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 1, m: 5, d: 1, g: 2, t: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**2. Let j(k) = -2186994*k. What is d(j(s))?\nAnswer: 38263542048288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 = 7*i. Suppose 8*d - 3*d + i*x = 17, -4*d - 3*x = -16. What is the units digit of d + 1 + (67 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3303 = -20*v - 3043 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + -304. Let r(a) = 24*a**2 - 7*a + 9. Let g be r(6). Calculate the common denominator of g\/h - (-8)\/2 and 145\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18750095 divided by -3750019.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74.5 - -56. Let q = -18 - m. Sort q, -3, -26 in ascending order.\nAnswer: -26, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40ebb (base 16) to base 4.\nAnswer: 1000322323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w**3 + 4*w**3 - w**2 + w**3 - 4*w**3 - 1. Let g(s) be the first derivative of 3*s**4\/4 - 2*s**3 - 6*s + 2. Give -g(o) + 5*h(o).\nAnswer: 2*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -11, 24, 57, 88, 117?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/299135 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1826527 + 17?\nAnswer: -1826510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 3*x - 2*x)*(-x - 2*x + 2*x) + 28*x + 154*x**2 - 28*x in the form u*x + l + c*x**2 and give c.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 527*k**2 - 101*k - 479. Let r be d(-5). What is the highest common divisor of r and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2786349 and -74\/663.\nAnswer: 615783129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 29726*r - 237939. Calculate f(8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -320013013?\nAnswer: -320013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-61 - -54)) + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:13 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i - 20. Let b be y(-4). Which is smaller: b or 15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and (-7 - -9) + -4 - (0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16427*a**6 - 7451*a**2.\nAnswer: -1971240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2)\/(3 - 2). Let o be 383 - (15 - (-210)\/(-15)). What are the prime factors of (1 - 5\/((-10)\/o)) + h?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 10, -4*o + 3*x + 6 = 0. Let s = -9 + 14. Suppose -5*k + 10 = 0, o*c - s*k = c + 28. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482640, -482638, -482636, -482634, -482632, -482630?\nAnswer: -482628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = 0. Suppose -3*t + o*t = 0. Solve -u - 4 - 3 = -4*v, t = -v + u + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(2662) - (3*sqrt(2662) + sqrt(2662))))*-1)\/(-1*(sqrt(11) + (sqrt(11) + sqrt(11) + sqrt(11)*5)*4 + sqrt(11))).\nAnswer: 17*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j + 10. Let p be h(3). Sort -3, 4, p, 1 in ascending order.\nAnswer: -3, 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + i)*(1 - 4 + 2)*(224 - 132 + 358) to the form c*i + u and give c.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 42434.18 meters?\nAnswer: 42.43418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 2. Suppose -3 = 21*t - 18*t. Let o(g) = -74*g - 1 - g**2 + 74*g. Give t*p(i) + o(i).\nAnswer: -2*i**3 - i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 38 = -5*z, -5*q = -z + 16 + 2. Let a be (20\/(-120) - 0\/(-5)) + 15\/(-18). Sort 4, a, -3, z in increasing order.\nAnswer: -3, a, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -10433541?\nAnswer: 10433542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1959494163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 455*w**3 + 1320*w**2 - 20*w - 1760.\nAnswer: 5*(w - 1)*(w + 2)**2*(w + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 34, 60, 96, 142, 198?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24020 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.071, 2, -0.2, -8, -5, 1\/5 in decreasing order.\nAnswer: 2, 1\/5, 0.071, -0.2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264624 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12942 - 0.2.\nAnswer: -12942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 449*w**2 - 53*w**3 - 2*w - 224*w**2 - 221*w**2 to the form h*w**3 + j*w**2 + n + v*w and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/19 - 440878*h**2\/19 - 1438958*h - 423802922\/19.\nAnswer: 2*(h - 220501)*(h + 31)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790332251?\nAnswer: 7, 398618893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12330 + -2?\nAnswer: -12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 - 1 + 73*m**3 + 32*m**3 + 12*m - 106*m**3. Give h(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18320 times -1223.3?\nAnswer: 22410856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3276 = 147*u + 105*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087857 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27889756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {m: 2, e: 3, p: 5, i: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1233, -4901, -11013, -19575, -30593?\nAnswer: -44073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 746?\nAnswer: 746.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*x + x - 29, -3*t = 2*x - 15. Which is greater: x or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487019084?\nAnswer: 2, 281, 433291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 - 1. Determine g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) 754 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -4*w - 2*u, 3*w = 3*u - 21. Let v be w\/((-18)\/(-3)) - -1. Solve v*f**2 + 8\/3*f + 8\/3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301 is divided by 659.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**6\/2 + 351*l**5\/5 - 13689*l**4\/4 + 59319*l**3 + 458. Determine h, given that f(h) = 0.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16358650 by 33385.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 415*b + 37089. Give u(132).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 23*r**2 - 46*r - 220. Let m be u(-7). Solve -5*g - m*i + 6 = 0, 2*g - 8 = -i - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 - 11 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3039694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 110*n - 80. Let s be l(21). Suppose 3*u - 2477 = 166. Let k = s - u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 <= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 5)*2\/(-1 + -1). Solve 3*n - 4 = -x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3) - (42\/9)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2261000 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 0*z**2 - 7*z**2 + (-3*z + z + 4*z)*(2*z + 0*z + 0*z) + (-5*z + 5*z + z)*(5*z - 5*z + 6*z) to the form l*z + n*z**2 + m and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + -12 + 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -t*k + 9905677 = 3632245. Let r = 5668358 - k. What is r rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -35*q + 0*q**2 + 0 + 5\/6*q**3. Let h(r) = 4*r. What is h(u(w))?\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiccppoppcchphpipp. Give prob of picking 1 p and 1 h.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -22. Let l = -2 + i. Let c(t) = -2*t - 4. Calculate c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 143. Solve i*d + 0 + 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24*y - 2. Let x(j) = j - 5. Give -h(d) + 2*x(d).\nAnswer: 26*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7628 and 1764684404?\nAnswer: 7628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -1.3. Let n = 13\/45 + -2\/5. What is the closest to -0.2 in x, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2780\/7, -5, 8\/25 in decreasing order.\nAnswer: 2780\/7, 8\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + sqrt(304) + (sqrt(304) - 2*(sqrt(304) + 3)) + 0) + 0 + 5)**2.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(17) + -1).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -119\/87187?\nAnswer: -119\/87187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 300?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**2 - 4*v**4 + 129*v + 117*v**3 - 114*v**3 + 5*v**2 + 2*v**2 + 2*v**4 to the form d*v**2 + w*v**4 + z*v**3 + p + x*v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/12)\/(8\/(-960)). Sort s, 2, -4 in increasing order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 + 6 = 0, -3*b + 2*z - 7 = 0. Let j = -2 - -1.8. Is b >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 23) + (2 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**34*g**(-1\/11)*g*(g*(g\/(((g*g**(-10\/9))\/g)\/g))\/g*g)**20 assuming g is positive.\nAnswer: g**(11596\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36424, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/34420 and -67\/37862?\nAnswer: 378620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002686 rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 2) to base 9.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - n - 75, 5*m + 112 = 3*n + 14. Let t = -16 - m. Let v = 3 - 5. Put v, t, 4 in descending order.\nAnswer: 4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -11. Let o be ((-32)\/40)\/(z\/5). Put 0, -4, o in decreasing order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-26))\/(2\/((-4)\/(-7)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*y**3 - 104*y**3 + 23*y**3 + 35*y**3 + 373*y**4 - 1868*y wrt y?\nAnswer: 4476*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3 - 18*t - 15 + 14*t. Let a be m(-4). Suppose 4*g + 10 = y, a*y + 3*g - 57 = 2*g. What is the smallest common multiple of 2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*(-156)\/39*(-10)\/(-3280)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659033 is divided by 1905?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(111\/(4440\/(-800)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 7*a + 31. Is g(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 42*w - 33. Let h be l(2). Suppose -50*s = -h*s + 3. Solve 3 = -2*x + s*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(120) + sqrt(120)*-1 + sqrt(120))\/sqrt(10)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2)*(0 - 4\/12). What is the tens digit of 40 - (m*3)\/(27\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (50*(-97)\/3)\/(10\/(-15)).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -19*t - 21 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**21)\/(v\/(v\/(v\/v**17))) assuming v is positive.\nAnswer: v**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {b: 3, n: 3, p: 6, h: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*u**3 + b*u**2*w**2 + 4*b*u*w + 3*b*w**2 + 451*u**3 - 12*w wrt u.\nAnswer: 6*b*u + 2*b*w**2 + 2706*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/8)*i*i*(i**0\/i)\/i*i)\/(i*i*i\/i**(-2)*i*i*i*i)**(8\/9))**6 assuming i is positive.\nAnswer: i**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -87, -4\/3, 3\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 28. Let c(m) = -3*m - 29. Determine -3*c(s) - 2*l(s).\nAnswer: 7*s + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2549348*p = 2549346*p - 58 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.9. Let y = -0.25 - -0.2. Let m = 0.05 + y. Which is the closest to x? (a) -2\/3 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: What is 25744.07m in nanometers?\nAnswer: 25744070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Which is the nearest to k? (a) -1\/4 (b) -2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*f - 24. Let m be (-7)\/(-4) - 2\/(-8). Let k(u) = u + 4. Let g be k(2). Put g, m, f in decreasing order.\nAnswer: g, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*x - 3*x - 10*x**5 + 15*x**5 wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46070, -46070, -46074, -46082, -46094, -46110, -46130?\n\"Answer: -2*z**2 + 6*z - 46074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14007875?\nAnswer: 5, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1300) + -4*sqrt(1300)*2 + -3)**2*-1.\nAnswer: -63736 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 573 - 570. Which is the fourth biggest value? (a) u (b) 0.04 (c) -42 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382891.3m in kilometers?\nAnswer: 382.8913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 1 - 5. Suppose 2*p = 4*y + 12, 2*y + 0 + 14 = 3*p. Let i be p - (-2 - (u - 1)). Solve -2*l - 3*l = -z + 9, -2*z = i*l - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465560637 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 4*f - 2, 5*f - 18 = 4*r. Let d = 0.1 - 0.2. What is the closest to d in -3, r, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9398640 and 57\/20050432.\nAnswer: 300756480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 0, 3 in increasing order.\nAnswer: -6, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.8, -2, 0, -0.4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222, 454, 682, 912, 1150, 1402, 1674, 1972?\n\"Answer: o**3 - 8*o**2 + 249*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81263452 and 1604.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 19*u)*(3*u - 7*u - 3*u + 2*u + u - 2*u + u - 2*u - u + (1 - 1 + 2*u)*(2 - 2 - 1) + 3*u + 2*u - 4*u).\nAnswer: 171*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 5. Let b(o) = -7*o - 6. Let z(a) = -5*b(a) - 6*i(a). Let u(r) = 3*r. Give z(u(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050961621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10101101110?\nAnswer: 10101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/(-806))\/((-2)\/13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-24))**9 assuming a is positive.\nAnswer: a**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*r + 9, 2*o - 4 + 6 = 0. Let g = 16 + -12. Find the third derivative of -s**5 + 5*s**2 - 3*s**r - g*s**2 wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021446 (base 9) in base 8?\nAnswer: 26265344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from gmgqqmgqgjgqmqmm.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1837 divided by 167.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -58*g**5\/15 + 287*g**4\/6 + 10*g**3 + g**2 - 140*g - 6. Let l(q) = 0. What is q?\nAnswer: -3\/58, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*u + 10613 = -9982 - 699 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 16, -4, -30, -62?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*h - 32, 0*w - 2*w - 6 = h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**2 - 1742*w + 2013. Let r(d) = 55*d**2 + 7840*d - 9060. Let s(g) = -9*r(g) - 40*v(g). Find a, given that s(a) = 0.\nAnswer: 6\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 11. Let t be 2\/10 - 2\/10. Suppose t*l = l. Solve -5*q - 8 = 3*j - j, 5*q - 2*j - d = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-12))\/(2\/(-16)). Is (208\/j)\/(4\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + -3 + (-5)\/(-1). Let s(p) = 2*p**2 - 4*p - 3. Determine s(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 57*f**2 + 70*f + 111. What is the hundreds digit of h(-43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 39*i - 34. Let o be x(1). Suppose 2*z - 6 = -4, -q = 2*z + 2. Which is the smallest value? (a) 4 (b) o (c) -0.3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4722730 to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from jjjjjjjijijijjjijij.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/(-319)*(-33)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 7. Let w(t) = -t + 4. What is -3*h(n) - 5*w(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -26) + -72 + (-3 + -2 - (1 - 14)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-15) - 47\/15. Suppose 6 + 39 = 5*q. Suppose q*c - 4*c = 20. Put -5, c, a in decreasing order.\nAnswer: c, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 320. Let s = 94 - k. Let f = 5 + -5.4. What is the third biggest value in f, s, 20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -52958*p - 3071566. Determine t(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 433216 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + 6 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.04, 3550 in descending order.\nAnswer: 3550, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1739228248.64 and -1306.\nAnswer: 1739226942.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309006953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 9*a**3 + 14 - 2*a**3 + (0*a**2 + 0*a**2 - 2*a**2)*(0 + 0 - a) + (a**2 + 0*a**2 - 3*a**2)*(-2*a + 2*a + 2*a) - a**3 + a**3 + 2*a**3.\nAnswer: 3*a**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -21584032 = -21584016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 + 1 - -4. Let d(n) be the third derivative of 0*n**3 - 1\/240*n**5 + 1\/240*n**6 - 2*n**2 - 1\/840*n**f + 0*n**4 + 0 + 0*n. Factor d(r).\nAnswer: -r**2*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 68 = -26 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 > -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21660956 to the power of 1\/2, to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Sort -6, -1, -4, f in decreasing order.\nAnswer: -1, f, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616228 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + (-10 - (-13 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686*p - 36 = 690*p. Is -312\/35 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*x**5 - 3*x + 8*x**5 + 7*x**5 - 47*x wrt x?\nAnswer: 1120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**9\/20160 + g**8\/8960 + g**7\/3360 - g**6\/960 + g**4\/3 - g**2. Let j(o) be the second derivative of v(o). Solve j(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.85 * 0.1.\nAnswer: 3.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597991 rounded to the nearest ten thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-180)\/210 + (-14881)\/(-7) + 3 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 18*n + 2. Let o(a) = -2*a**2 + 840*a + 4. Let w(r) = -2*d(r) + o(r). Factor w(y).\nAnswer: 2*y*(y + 402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -464 - -467. What is the smallest value in 1, 3\/4, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**3\/3 - 3*n - 245. Let d(a) = -5321*a. Give d(r(t)).\nAnswer: 10642*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5066448 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*(101 - -13).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 9*i - 1. Suppose 0 = -5*q + d + 2*d - 80, 3*q - 5*d = -64. Let z = q - -19. Is g(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304 + 4?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 3. List the prime factors of m(6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159a2 (base 11) to base 9.\nAnswer: 33766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -0*t + 2*t. Suppose -2*v - 3*v + t = 0. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251838639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3262.40250559 less than -2?\nAnswer: 3260.40250559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1353 divide 143071256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 432*m**2 + 1314*m.\nAnswer: -2*m*(m - 3)*(m + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-4))\/((-36)\/(-16) + -2). Is b > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -29478*c - 442186. Calculate j(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = s - 19 - 11, 0 = -3*n + 3*s - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/57 + 4\/19. What is the closest to -0.1 in -1, -3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/(-12))*(-58632)\/12564*8.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22670758 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1215 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2551 + 7*k + 132*k**2 + 1271 + 1279 as n + b*k**2 + a*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f + 12*f - 2*f**3)*(1 - 2 - 1 + (1 - 1 - 2)*(2 + 1 - 1) - 3 + 1 + 3 + 4 - 7 - 3).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h + 7. Let b(d) be the second derivative of -13*d**3\/6 + 5*d**2\/2 + 227*d. Let n = 16 - 23. Determine n*b(q) + 5*z(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 112. Suppose 0 = 5*g - h - l, -g - 1 = -4*h - 6. Suppose 7*u - 62 = g*u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 64 = -4*q. Let u = q + -104. What is u rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -24. Let v = c + -37. What is the least common multiple of (v\/(-5))\/((-5)\/(-75))*1 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 15*v - 25. Calculate the remainder when a(8) is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2460761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -81 + (2 - 1) + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g - 9 - 19*g - 17*g + 38*g as q*g + i and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 777 + 161 = 5*k, 3*r + k = 640. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3444.3473 times -0.5\nAnswer: 1722.17365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 884691.264 to the nearest one hundred.\nAnswer: 884700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*r - 711*r**3 + 356*r**3 + 360*r**3 - 2*r**4 in the form z*r**2 + d*r**4 + k*r**3 + s*r + j and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 563010 a multiple of 766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5487764014?\nAnswer: 2, 2743882007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, o: 3}. What is prob of picking 1 h and 2 o?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 92*h - 260. Calculate the remainder when z(53) is divided by 132.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 2*x**2 - 6*x + 1. Let h be d(-3). Let n be (-5)\/(h\/(-6))*1. What is the nearest to -1 in n, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + 5*u**2 + 18 - 2*u - 4*u**2. Let y be l(11). Suppose 3*b + 116 = y*b. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 - x**2 + x + 1. Let a be r(-1). Suppose 0*f + 88010 = 4*f + 5*g, 4*f + a*g = 88004. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + 77\/21. Let a be -1 + -3 + 1 + i. Sort a, -4, 4.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 - 0.43. Let z = 0.1 + c. Let a = -0.4 + 0.8. What is the third biggest value in 0.5, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137.04 + -0.96. Which is the third smallest value? (a) y (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93 - -9) + 67 + -44 + 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 55. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/3, 1\/6, 0, 3, -225?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 1\/1*6. Let o(b) = 37*b**3 + 5*b**2 + 2*b. Let l be o(u). Round l to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2093, 27, 1, -3, -14 in decreasing order.\nAnswer: 27, 1, -1, -3, -14, -2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-14)\/p)**(2\/7)*(p\/(p**(-1\/20)\/p*p))**(-1\/3) assuming p is positive.\nAnswer: p**(-649\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/(-3) - (2 + 0). Let b be (-190)\/g - 4\/6. Let w be (-9)\/b + 198\/8. What is the highest common divisor of w and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 720 = 0. Suppose 7*b - 3*b - d = 0. What is the greatest common factor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -65*y**2 + 2338*y + 83. Determine q(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 9)*(49 - 2 + 18)*(h - h + 2*h).\nAnswer: -1300*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18727157 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 117e9 + -1?\nAnswer: 117e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7467644 and 1128.\nAnswer: 7468772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 8\/119 (c) -787\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m - 4. Let d(h) = h - 10. Let t be d(5). Calculate p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 452 = 3*i, 0 = 2*y - 4*i - 93 - 123. What is the remainder when y is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - p + 7. Let o be h(-6). Calculate the remainder when 41 is divided by ((-4)\/(-1))\/(-2) + o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5 + 5)*(-5*k + 4*k + 4*k)*(1 - 3 + 1).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 80*q = -4664. Let j = q + 90. Solve -11 - 6 = -j*p - 5*b, 0 = 2*p + 2*b - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*v + 529805 = 529732, 130 = -5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 114*u - 336. Let r be t(3). Let o = 3209 + -22551\/7. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5147943?\nAnswer: 3, 53, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 11*v**2 + 7*v - 18. Let g be i(-10). Suppose -9*d = -7*d - g. Solve -3*w + d = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*5.984579\nAnswer: -5.3861211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21297808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235.16 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -21*n**3 + 3*n**2 - 3. Is w(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -2.6, -1.7, 0.21, -2\/7 in descending order.\nAnswer: 0.21, -1\/9, -2\/7, -1.7, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - -1035354653?\nAnswer: 1035355023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 10*n**2 - 12*n + 14. Suppose -q = q - 22. Let h be b(q). Is 2 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20917704 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 273.4 + -273. What is the third biggest value in -0.2, 0.112, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d + 5. Suppose -2*q - 5*m = -q + 4, d*q = m + 3. Solve -b = q + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 739, 858, 1103, 1534, 2211, 3194, 4543, 6318?\n\"Answer: 10*d**3 + 3*d**2 + 40*d + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/13, -1, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 7. Let o(t) = t**3 + t**2 - t - 1. Let q = -6 + 5. Let w be o(q). Solve w = 4*d - 5*s, -2*d - 24 = p*d + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -139*d**3\/3 + 76. Let r(g) = -2*g. Calculate i(r(v)).\nAnswer: -556*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103256971 to the nearest integer?\nAnswer: 33215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/25 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9*-3)\/((-215)\/86) - (-40)\/(-5). Sort m, 4, 9\/5.\nAnswer: 9\/5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -219?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563 + 472 = -5*m - z - 0*z, 2*m - 2*z + 2*z - 2*z = 34 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*m - 60*m - 4*u + 16, 5*m + u - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 7*m**3 - m**2 + 0*m - 5*m in the form f*m**3 + y*m + j + l*m**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -358, -465, -572, -679, -786?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**3 + 1. Let c be i(-1). Find the third derivative of -17*l**2 - c*l**2 + 30*l**4 + 2*l**2 wrt l.\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327 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: Calculate -55841 divided by -41.\nAnswer: 55841\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.011 (b) -0.3 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -v + 1. Let d be (v - -3)*(6\/(-5) + 0). Solve -l + d = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:54 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 5*f, -3*z - 4*f + 9*f + 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**11*t)**(18\/11) assuming t is positive.\nAnswer: t**(234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -2) - (-5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 3\/8 (c) -0.372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 64706*(-34)\/(-4). What is s rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 79 = -v - 0*f, -4*v = 3*f - 312. Suppose v = -11*w + 16*w. Which is greater: 16 or w?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8418594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 29, 55, 81, 107?\n\"Answer: 26*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*f - 18. Suppose -3*o - f*o = 549. Is -61 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (11 - 10) + 16 + 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0643571 months in years?\nAnswer: 0.088696425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -112, -122, -136, -154?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 124 = -2*n. Let y be n\/11 - 2\/(-11). Suppose -3*t = -21 - y. Calculate the remainder when 22 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1080) - sqrt(3000)*2)\/((sqrt(360) + -2*sqrt(360))*1))**2.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**3 + 394*l**2 + 2561*l - 73269. What is z(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + -0.04. Let u = 2 - 1. Let r = m + u. Which is the third smallest value? (a) 2\/7 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34341 (base 6) in base 4?\nAnswer: 1030111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9 = -s, -9 = -3*a - 0*a. Let w be 10\/8 + s\/(-8). Is 2 + 21 + (2 - w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/30*b**6 + 5\/12*b**4 - 5*b + 1\/3*b**2 + 1\/2*b**3 + 11\/60*b**5 + 0. Determine n, given that m(n) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7511.46 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 784*a + 7879. Calculate v(10).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105222\/647 < -1708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 147711.84 minutes?\nAnswer: 2461.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*g - 3 = 0, 6 = -572*g + 570*g. Let u(t) = -8*t - 9. Let l(j) = -7*j - 9. Calculate a*l(k) - 5*u(k).\nAnswer: -2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:46 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from cgwytxc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -25*a - 1. Let u = -5 - -4. Let v = -1 + u. Let n be r(v). Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 - 1\/2. Let m = -5 + 2. What is the smallest value in q, m, 5\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -11.9. Let b = -9 + p. Let t(m) = -m**2 + 20*m + 129. Let j be t(-5). Sort b, -2\/9, j in decreasing order.\nAnswer: j, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*m - m = 11, 0 = -2*o - m - 5. Let u be (2 - 1235\/620)\/((-1)\/o). Let g = u + -997\/155. Find the common denominator of -38\/13 and g.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 802.5512 meters?\nAnswer: 80255.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*q**2\/4 - 4385*q\/4 - 625\/2.\nAnswer: -5*(q + 125)*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(11\/(-24)) + 4\/(-22). Suppose -4*j - r*p + 4 = 0, 4*p + 5 = -j + 2*p. Solve 5*b = j*i - 27, b + 5 + 2 = i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -125*h + 4. Let b be f(3). Let m be (-6 + 0)\/(14\/b). Suppose z = -2*g + m, -z - 625 = -5*z + 3*g. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 13*z**2 + 2*z - 2. Let x(v) = -2*v**3 - 26*v**2 + 5*v - 6. What is 5*u(b) - 2*x(b)?\nAnswer: -b**3 - 13*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = 0, 5*f = 4*v + 880. Suppose 3*w + 39 = -5*m + f, 2*w - 3*m = 66. Let c = 0 + w. What is the greatest common factor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 51, 66, 87, 114, 147, 186?\n\"Answer: 3*l**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101057387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*h - h - 41*h + 3*h)*(3*h**3 + 1 - 1) to the form t*h**2 + j*h**4 + s*h**3 + f*h + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m - 3*v - v, 0 = -m + v + 6. Suppose 0 = 4*l - 8, 0 = -0*w - m*w - l + 38. Solve 2*s + w = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 1 - 2*u + u)*(-7 - 1 + 15)*(-3 + 3 + 3) as q*u + c and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 205\/(-65) + (-4)\/(-26). Let k(u) = -3*u + 2. What are the prime factors of k(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 3*u = -21*q + 7670074, 0 = 5*u + 35. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -222233574434 and 1.\nAnswer: -222233574433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1436 times -0.2?\nAnswer: -0.02872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 74?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24320578 and 2.\nAnswer: 24320580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946977?\nAnswer: 3, 41, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (9 - 2) - (-26 - -5 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 b when four letters picked without replacement from {n: 3, e: 2, v: 1, s: 4, b: 4, w: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -3*t + o + o, 3*t + 3*o - 363 = 0. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1374 * -1354.\nAnswer: 1860396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-2)\/12. Suppose 25 = 5*s + 3*v - 2*v, -2*s = 3*v - 10. Which is the second smallest value? (a) 3 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 4. Let k be r(4). Let d(s) = s**2 + 9*s + 4. Let l be d(k). Which is the second biggest value? (a) 4 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05465157024 rounded to five decimal places?\nAnswer: 0.05465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2107027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:32 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16580 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 52*n**3 - 23*n**2 - 77*n + 1. Is j(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108.18 + -107.88. Suppose 0 = -c + 3*y + 2, 5*c + y - 2 - 56 = 0. Let k = 15 - c. What is the third biggest value in 1, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647821 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 17*l = -3*h + 9, 2*l = -50*h - 62 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28192*y**6 + 480*y**2 + 2*y + 8 wrt y?\nAnswer: 3383040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7 - 4) + -1 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3\/2*j**2 - 23*j + 0 + 5\/2*j**3. What is the derivative of x(s) wrt s?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**2 + 9*w**2 - 44*w**2 + 0*w**2 + 10*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ageegggeaeeeeeee. Give prob of picking 1 e, 1 g, and 2 a.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 9) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 + 33*b**2\/5 - 69*b\/5 + 7.\nAnswer: (b - 1)**2*(b + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -5 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -863443136 divided by -32\nAnswer: 26982598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-3)*(-84)\/(-126)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47711442.\nAnswer: 2, 3, 1297, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 171*q + 22906. What is m(-134)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 at most 6901\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g. Let z(u) = 0*u**2 + 8*u**2 - u**2 - 6*u**2 + 6*u**2. What is y(z(m))?\nAnswer: -77*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h - 0. Let g(b) = b**2 + 18*b - 19. Let n be g(-19). Let a = 3 - n. Is a greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1674 divided by -54.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7317 and 5691.\nAnswer: 51219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2933665635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2*m - 4*m)*(4 - m - 4 + (-1 + 6 - 2)*(-2*m - 4*m + 4*m))*(3 + 4 - 2).\nAnswer: 70*m**2 - 70*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.97 - -0.67. Which is the nearest to 0.1? (a) -4 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:27 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = 4*d. Let t be (-1)\/4*d*0. Suppose 2*v - v = 1. Sort t, -1, v.\nAnswer: -1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkvvvvv. What is prob of picking 2 v and 1 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from remmmeummmmmqeemzem. What is prob of sequence zq?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**4\/24 + b**3\/2 + b**2. Let v(q) = -1. Let f(a) = -a**3 + 7*a**2 + 8*a + 2. Let y be f(8). What is y*l(k) + 5*v(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*x - 116, 27*l + 480 = 23*l + 4*x. Let z = 218 + l. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1009 + 2*o**2 + 1012 + 2*o - o**2 - o. What is x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*s**3*x + 167*s**3 - 2*s*x wrt x?\nAnswer: 47*s**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5*h - 9 = 0. Suppose 51*l - 47*l - 14 + 6 = 0. What is the greatest common factor of l and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627327707.\nAnswer: 59, 10632673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755242932 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-371)\/(-49) - 8\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734 divided by 6?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -9. Suppose 5*i + i = a. Let u(x) = x**2 - 2*x + 2. Let r be u(2). Solve i*t = -r*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(1300)*2 + -3*(sqrt(1300) + 0) + sqrt(1300))**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. What is the smallest value in m, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104.172 + -104. Let t = o + -0.072. Which is the third biggest value? (a) 6 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 25*n**2 + 147*n - 20. Let r(y) = y**3 - 13*y**2 - 80*y + 12. Let j(o) = -6*q(o) - 11*r(o). Calculate j(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (39 + -43)) + 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 10*l - 15. Let s(u) = 5*u**2 - 51*u + 76. Let b(z) = 2*s(z) + 11*y(z). Let f be b(6). Is -0.07 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47773.91731 - 47762. Let y = 0.23031 - q. Let g = y - -11.6. Round g to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 968894 and -0.061.\nAnswer: 968893.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -136, -127, -106, -67, -4?\n\"Answer: t**3 + 2*t - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*r + (0 + 0 + r)*(0 - 3 - 10) + 3*r - 5*r + 0*r - r + r - r in the form u*r + n and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 - 0) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w*z**4 + 123*w*z**2 - 5*w*z + 35*w + 2*z + 1 wrt z?\nAnswer: 24*w*z**2 + 246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 553, 2, 16, 0, 1.\nAnswer: 0, 1, 2, 16, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-39455)*(58 + -53). Is s greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537.\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 695*x**3 + 2*x**2 - 10*x + 9. Let b = -524 - -525. Is 29 a factor of w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851174.03 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35\/26 - 24\/13. What is the nearest to -2\/23 in 5, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.232736392 - 96.6.\nAnswer: -94.367263608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 - 1206*p**4 - 107721*p**3 - 1920342*p**2 - 7577568*p + 23717664 = 0.\nAnswer: -283, -97, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 559178811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 2*g**2 + 1. Let d be p(1). What is the third derivative of 11*n**3 + 0*n**2 + n**d + 2*n**2 - 6*n**3 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2490 and -199\/4560.\nAnswer: 378480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128 and 41?\nAnswer: -5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/38 (b) 2\/179 (c) 2\/11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/25)*z*z\/(z**(-1)*z)*z assuming z is positive.\nAnswer: z**(98\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1427*l**2. Let s(r) = 5*r. What is b(s(j))?\nAnswer: -35675*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 626*l - 34960 = 239*l for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9090, -18188, -27338, -36540, -45794?\nAnswer: -55100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 - 1\/(-2)*(-3 + 3). Suppose 4*c + 2*d = d + 25, 0 = -4*c - 2*d + o. Let t(u) = u**3 - 6*u**2 - 10*u - 2. Calculate t(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + -23322130?\nAnswer: -23322344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55227 and 718197.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(170\/60)\/17.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 2) + (-303 - 5809)\/191?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 4 (b) -0.05 (c) 1 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709*r**2 - 684*r + 708*r**2 - 33*r - 93*r - r**3 to the form h*r**2 + m*r + i*r**3 + t and give m.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 3*h - 2*h - 11*h + 23*h - 11*h - 33 + (5 - 5 + 2*h)*(6 - 3 - 4).\nAnswer: -4*h - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715104 = 23*u + 29*u. List the prime factors of -1*u\/(-1 - 8).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 88*c**2 + 293*c - 729. Is r(-70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40\/153 - -2\/51. Let s = 7.1 + 0.9. Let n = -13 + s. Which is the closest to 0.1? (a) 5 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24*r = -3094. Suppose 373 = 41*f - r. What is the greatest common divisor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 3. Let v(y) = -2*y + 6. Let p(f) = -9*g(f) + 4*v(f). What is p(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -57. Let r = w - 35. Suppose 7 = 5*z - 3. Solve 5*u = -3*c + z, 2*u + r = 3*c + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**2\/2 + 49*c - 212. Let i(g) = 3*g. Calculate y(i(m)).\nAnswer: -3*m + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-5) - (0 - (-524)\/(-4)). Suppose w*p = 131*p - 99. Let s = p - -10. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/50*(-30)\/69.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45.3 and 1.1?\nAnswer: 49.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 614*a - 7 = -616*a, 119 = -4*v + 115*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20\/3, 20, 1\/155, 858?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189508*v**4 + v + 203013115 wrt v.\nAnswer: 758032*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19614?\nAnswer: 2, 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.29 + -0.71. Put -1, 17, d in descending order.\nAnswer: 17, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2152*c*u - 5829*c wrt u?\nAnswer: 2152*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 19, o: 1}. Give prob of picking 3 t and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.18 * -3.\nAnswer: -60.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530469 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -y + 41. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*q = -6, -p + 3*q = -2*q - 15. Suppose 2*b + 2*b - 56 = p. Solve 3*n - 9 = -c, -5*c + n + b = 33 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*i = -427*i - 1658160. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12117418 is divided by 1630.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5\/6)*w)\/((w\/w**(-1\/15)*w)\/w))\/(w**(-1\/3)\/((w\/w**4)\/w))*(((w*(w**(-2\/19)\/w)\/w)\/w*w)\/(w*w**(-3)*w))**(-47) assuming w is positive.\nAnswer: w**(787\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:35 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((sqrt(144)\/sqrt(6))\/sqrt(12)) + (sqrt(3) + 1)*-2 + 4)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.8035 + 0.1965. What is the smallest value in -0.2, 0.3, -1\/2, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.3 and 1.\nAnswer: 37.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24343134 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -113, -195, -277, -359?\n\"Answer: -82*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 15250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 124*d**2 + 56*d + 92. Is 35 a factor of h(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5999651 by -4307.\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6175*k - 5764*k + 13152 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/7 - 351*s**3\/7 + 10089*s**2\/7 + 10443*s\/7.\nAnswer: 3*s*(s - 59)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3616, 7 in increasing order.\nAnswer: -3616, -5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -115 + 95, -5*g + 10*k - 7*k - 75 + 20 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65*a*k**2*l + 2*a*k**2 + 2*a*k*u**2 + 6*a*l*u**2 - 2*l*u**2 - 55*u wrt l?\nAnswer: -65*a*k**2 + 6*a*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 l when four letters picked without replacement from {q: 4, l: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930 a factor of 344058097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*v**2 - 4*v**2 - 13*v**2 + (-3*v**2 - v**2 - v**2)*(2 + 2 - 2) + 0*v**2 + v**2 - 3*v**2 to i*v**2 + a*v + p and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1841 - -3.\nAnswer: 3.1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -9*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 617 + 139 = 9*p + 562 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:59 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1a764 (base 15) to base 7\nAnswer: 505600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -5*k - 124 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14982*l - 60 = 14985*l + 4*k, 3*l = 5*k + 48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {o: 3, e: 5, q: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -1, 11413 in increasing order.\nAnswer: -1, 2\/23, 11413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*v + 4*l + 32, 47086*l - 47091*l + 17 = -4*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 164 - 19?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21200*i + 147191 = -21199*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 22*v**2 + 9*v - 22. Determine s(-7).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1*102 + -4)*-921*8\/24?\nAnswer: 2, 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114 (base 8) to base 13.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/20 + s**4\/12 + s**3\/6 - s. Let o be i(0). Suppose o = -5*r + 6 + 14, -p - 2*r = -3. Put 4, -1, p in descending order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-52))\/(44\/286). Solve -140*n = -136*n - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -2 - (-1 - (19 - (45 + -9 - 10)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/36)\/((-41)\/(-369)). Solve -12 = 2*d - 4*p, 3*d + 1 = -g*p - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -312\/721?\nAnswer: -312\/721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:17 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(11) + -1)**2.\nAnswer: -10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 276, 769, 1948, 4107, 7540?\n\"Answer: 49*z**3 + 49*z**2 + 3*z + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33235, 33079, 32905, 32707, 32479?\nAnswer: 32215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(612) + 1)*2)**2 + 5.\nAnswer: 144*sqrt(17) + 2489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 1 - 1)*(-2 + 3 + 2) + 9197*z + 65528730 - 65528730 to the form b*z + v and give b.\nAnswer: 9194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (16\/(-10))\/(14\/(-140)) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-20)\/(360\/198)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, -22221\/653 in decreasing order.\nAnswer: 1, -2\/3, -22221\/653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -429769 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -0.1, 2\/7, -3, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 - 1.28. Let t = -2.7 - o. What is the second biggest value in t, 2, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x\/(x*x\/x**(3\/7))))\/x)\/x**(-1\/4))**(-32))**(7\/6) assuming x is positive.\nAnswer: x**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 27*y**2 + 34*y - 39. Let i be n(26). Solve -148 + i = -7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x + 4*h, 0 = 3*x + 6*h - h - 9. Let u(v) = 2 - x*v + 2*v + 0*v. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3583*k**2 + 3548*k**2 + 3556*k**2 - 14249*k**2 + 3556*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:48 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-42))\/((-33)\/99).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44424 - 112132?\nAnswer: -23304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:37 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 minus 39.07?\nAnswer: -39.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*d + 22*d - 16*d - 3 + 3 + 2*d + 4*d + d - 3*d + (-2*d + 2*d + 2*d)*(5 - 1 - 2))*(d**2 + 4*d**2 - 6*d**2).\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and -0.16?\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1)\/3*-9. Suppose -4*b - 2*i = b - 125, 4*i + 72 = 4*b. Factor 19*a**c + 16 - 20*a + b*a**2 - 38*a**2.\nAnswer: 4*(a - 4)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:48 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -49, -43, -37, -31?\n\"Answer: 6*q - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.5 (c) 0.4 (d) 0.2 (e) 18.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 144573*f - 144570 = 0. What is f?\nAnswer: -48190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1119411692\/283118103 - 6\/593539. Let o = 238\/53 - t. Find the common denominator of 79\/14 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 22*z + 91. Calculate the remainder when 346 is divided by x(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2736704 and -0.5.\nAnswer: -1368352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2)*b*b)\/b**(-3))**(1\/68) assuming b is positive.\nAnswer: b**(13\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 + v**2 - 3*v**2)*(3 - 3*v - 3) + (-v**3 - 4*v**3 + 2*v**3)*(2 + 1 - 1) as l*v**3 + m + o*v + u*v**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - a + 10 = 0, -5*q + 3*a - 9 + 0 = 0. Let r be 7*(q - -4) + -5. Solve 4 = 2*o - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2 + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 2, x: 1, t: 1, l: 1, d: 2}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148*2*(-1)\/(-4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-34 + 7 + 2 - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Suppose 0 = -6*q - o + 48. Which is greater: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4231, 4246, 4235, 4186, 4087?\n\"Answer: -2*y**3 - y**2 + 32*y + 4202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/1260 + v**6\/270 - v**5\/180 + 5*v**3\/6 + v. Let i(y) be the second derivative of g(y). Factor i(w).\nAnswer: -2*w*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5239070 to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(72\/(-184))\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79\/2 of a meter?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:37 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 5)*(-j**4 + j**4 + j**4).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - i**3 + 2 + 3*i - 2*i - 3*i to the form l*i + b + f*i**3 + h*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + -11 + 1 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/6, 0.055, 29, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -305741*c**2 + 501*c - 450?\nAnswer: -611482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029206 rounded to 5 decimal places?\nAnswer: -0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -600, -1435, -2680, -4377?\nAnswer: -6568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + 16 + -22 - 50) + -12 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 46. Suppose -2*s + q = g, 2*s + 0*s - 5*q = -55. What are the prime factors of 4 + -3 - 0 - s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 41 (b) 551 (c) -0.5 (d) -4 (e) 14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -7*a - 24. Let k = a + 23. Suppose -4*p + 415 = 5*l, -k*l + p = -0*p - 332. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 32*o - 43 = 309 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -183.8217 times -0.4\nAnswer: 73.52868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 216*o + 11664.\nAnswer: (o + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9405405 millilitres in litres?\nAnswer: 0.0009405405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 492377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414 is divided by 2162?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -105490, 0.\nAnswer: -105490, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 5304 = 318. Suppose 0 = f + 71 - y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195623578 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 105*r = 505 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, 18 in ascending order.\nAnswer: -5, -1, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 - 2*a + 3. Suppose 0 = -12*d + 13*d. Suppose -4*o + 2*o + 6 = d. Determine p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -7968.\nAnswer: 7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*r*w**3 - 2*r*w**2 + 19*r*w - 849*r - 7*w**3 + 312446*w wrt r.\nAnswer: 15*w**3 - 2*w**2 + 19*w - 849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 7.4695.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.59 - 1.29. Which is the nearest to 9? (a) h (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.18 - -9.04?\nAnswer: 327.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 + w + 1. Suppose 1 + 3 = -4*d, -7 = 2*o + 3*d. Let t(u) = 3*u**3 + u**2 - 3*u - 2. Calculate o*f(x) - t(x).\nAnswer: -x**3 - 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 3*d)*(d - 23*d + 98*d).\nAnswer: -228*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdidit. Give prob of sequence tj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**1))**28\/(d**(-4)*d**3) assuming d is positive.\nAnswer: d**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -2\/11, -1\/3, 0, 5, 1\/10, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 4*q - 80, 0 = -q - 7*p + 2*p + 386 - 400 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -3, -1\/5, 2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/33)*m**(-10)*m)\/(m\/m**(1\/3)*m\/(m\/m**(-7))) assuming m is positive.\nAnswer: m**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13889153.9 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1\/8*l**2 + 4 - 1\/20*l**5 + 1\/6*l**3 - 1\/4*l + 1\/24*l**6 - 1\/8*l**4. Factor a(w).\nAnswer: (w - 1)**3*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1.3, 2\/31?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*y = 32, 0*y - 2*y = d - 10. Let s(t) = t**3 - 5*t**2 - 5*t. Let w be s(5). Let k = -6 - w. Solve -d = -5*l - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66 - 71)\/(261\/131 + -2). Suppose -657*j = -k*j + 8. Let s(p) = 6*p + 2. Give s(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11532 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 - -102 - (1 + 1) and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t, 3*i + 3*t = 7*i - 19. Let v be (0 + -1)*(-9 + i). Suppose 0 = v*y - 57 - 87. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 4*n**3 - 3*n**3)*(-768 + 215 - 415 - 67).\nAnswer: 3105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.5. Let x = p + -12. Let n = -12 - x. Which is the smallest value? (a) 4 (b) n (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/34, 3, -3, -0.1?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/12*x**4 + 0*x + 0*x**3 - 3*x**2 + 0. Let y(d) = 3*d. Give y(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5.9+-362604.13521\nAnswer: -362610.03521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32194066?\nAnswer: 2, 23, 607, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2101001001020?\nAnswer: -2101001001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -686.52 to the nearest 10.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, 2*i = -5*z + 84 + 27. Suppose 9*a - 6*a = -5*w + 59, 0 = -5*w - a + i. What is the third biggest value in -1\/5, 4, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 39*y + 24. What is the greatest common factor of y and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/24 + 4*j**3\/3 - j**2. Is i(16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/44 - (-68)\/11. Let h(p) = p + 6. Let j be h(-7). Let c be 2*(-2)\/4 - j. Solve c - q = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -464.4 + 464. Put 1\/2, m, -0.5, -1 in ascending order.\nAnswer: -1, -0.5, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 1041*y**2 - 46680*y + 1796. What is o(-47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 33.5, -19327?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2, 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4452 and 441.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196731839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 470078696\/(-48) - -6 - ((-57)\/18 + 3). What is c rounded to the nearest one hundred thousand?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 954922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -67, -126, -211, -322?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o**2. Let x be 4030\/14 + 4\/28. Let m(t) = -3 + x*t - 2 - 281*t + 5. Calculate u(m(i)).\nAnswer: 735*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -2*g - 4, -2*d - 2*g + 18 = 0. Suppose -d = 4*l - 18. Suppose -12 = m - l*m. Is m < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2565 is divided by 1221.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151*0.4.\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 9, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 8*k - 41, 2*m - 3*k = 28 - 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 818, 1642, 2466, 3290, 4114?\n\"Answer: 824*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22302 divided by -6\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -822.\nAnswer: 19\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -368d (base 14) to base 9\nAnswer: -14062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:50 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 1, e: 1, l: 4, j: 5}. Give prob of picking 2 e, 1 h, and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 10229?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69603 and -0.05?\nAnswer: 69603.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30*f - 387. Let o be a(-13). Solve 17*t + o = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1024 and 74296?\nAnswer: 9509888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 98?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:15 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110010001 (base 2) in base 12?\nAnswer: 7415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 4*k)*(5*k - 82*k - 41*k) - 2*k + 2*k + k**2 + (1 - k - 1)*(0*k - 2*k + 0*k) + 8 + 5*k**2 - 8 - 2*k**2 - 2 + 2 + 4*k**2 + 2*k**2 - 4*k**2.\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -137426.1 to the nearest 1000.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let g(s) = -5*s - s**2 + c*s. Let f(x) = 4*x. Give g(f(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4412068*o**2 + 3. Let l(p) = 23*p. Determine l(q(t)).\nAnswer: -101477564*t**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2111.9047 + 2112. What is c rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 74. Let q(d) = -36 + 33 + 2*d**2 - d**2. Let r(l) = -2 + 3 + 2. What is j*r(z) - 3*q(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {a: 1, e: 1, u: 1, p: 2, v: 2, c: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/50 - 43*j**5\/150 + 7*j**4\/60 - 55*j**2. Factor v(u).\nAnswer: 2*u*(u - 7)*(6*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from sissassssxsxsoss?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**2 - 75*d - 3. Let t be y(-4). Sort 5, 7, -5, t in decreasing order.\nAnswer: t, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.104 litres to millilitres.\nAnswer: 12104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189157329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3\/4 - 50*o**2 - 345*o = 0. Calculate o.\nAnswer: -6, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142153117 plus -3.34891?\nAnswer: -1142153120.34891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 11*l**2 + 2 + 6 with respect to l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 50.9. Let b = 33 - 29. Let g = i - b. What is the closest to -1 in -2\/7, 1, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = 17 + 11. Let l be (2 + -2)\/o - -4. Is l greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200774 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.466560097 rounded to 3 decimal places?\nAnswer: -2.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3035*u**2 + 75825*u + 1250 = 0.\nAnswer: -10\/607, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/6)\/(279\/(-837)) + -34.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 16. Determine p(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105\/16 - 251\/48. Suppose 1\/3*p**4 - s - 8\/3*p - 1\/3*p**2 + 5\/3*p**3 - 1\/3*p**5 = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/1512 + 22*d**7\/945 + 113*d**6\/540 + 52*d**5\/135 - 20*d**4\/9 + 2*d**2 - 504. Determine n, given that f(n) = 0.\nAnswer: -15, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 30*j**3 - 9*j**2 - 63*j - 21. Let i(g) = g**3 - 3*g - 1. Let u(p) = -126*i(p) + 6*k(p). Find the third derivative of u(z) wrt z.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + s + 3*s = 44, 0 = v + s - 8. Suppose 25 = -o + 121. What is the greatest common factor of v and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -0*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/47)\/k**(8\/5) assuming k is positive.\nAnswer: k**(-386\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3739 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 402.19, 0.1, -7018?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**4 - 97*h**3 - 14383*h**2 wrt h.\nAnswer: -72*h - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let h(v) = -19*v + 6. Determine z(h(m)).\nAnswer: -722*m**2 + 456*m - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 25*v**2 + 26*v + 14. Let p be w(26). Let k = -78 - -232. What is the highest common divisor of k and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/(-70))\/3 - (-40862)\/20.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 89 = -97. Let h = -17 - i. Suppose 3*r = -a - a + 11, -h = 2*r - 4*a. What is the lowest common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 5078624.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0607? (a) 0.1 (b) -4 (c) 16.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*z + 13420 = -194*z + 478*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*p**2 + 1524*p - 3780.\nAnswer: -3*(p - 70)*(7*p - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69970 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 874 = 90. Solve -8*t = i - 88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 14. What is the lowest common multiple of y and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -7.3, 322 in decreasing order.\nAnswer: 322, -0.2, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10163620 to the nearest 100000.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -2.45.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -0.9 (c) 5 (d) 0.0252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pas when three letters picked without replacement from {a: 1, e: 4, s: 3, h: 5, p: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5113\/20484 - -2\/5121. What is the second smallest value in -3\/5, -0.25, 1\/3, f?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 2912*w\/5 - 8754\/5.\nAnswer: 2*(w - 3)*(w + 1459)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) 0.3 (b) -4\/5 (c) -0.3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221152.\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*k = 14, -2*l + 5*k = k - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4 * -3.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*u = -15, 3*g + 35 = 6*g - 4*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 45 = 5*c - 262, 4*c + b = 179. Solve 6*o + 14 = c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let p(o) = -35*o + 27. Let b(k) = 70*k - 55. Let m(r) = -2*b(r) - 5*p(r). Let v(g) = 3*g - 2. Let s(h) = 2*m(h) - 25*v(h). What is u(s(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15879221 by 4.\nAnswer: 15879221\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*b - 6 = 0, 2*l = 3*l - 5*b - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -6, -23, -48, -81, -122?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1036402532 - 0?\nAnswer: -1036402532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 9*s = -139, 5*q - 5*q + 4*q - 30 = 4*q - 2*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151.45? (a) -2 (b) 2\/23 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33934767103 + 4.\nAnswer: 33934767107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4223.706l?\nAnswer: 4223706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1765, 1140, -4, -3, -2 in ascending order.\nAnswer: -1765, -4, -3, -2, 1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 10 + 2 - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 439614281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 0*y**2 - 11*y - 32*y**2 + 10*y - 34*y**2 to the form g*y**2 + d*y + k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*y - 2, -2*p + y + 6 = -p. What is the remainder when 4*p\/32*94 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90573?\nAnswer: 3, 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((0 - -3 - 1) + -1). Suppose 2*m = 6*m + 5*s + 80, -52 = 4*m - b*s. What are the prime factors of m\/(3 + 396\/(-128))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 43*b - 73. Calculate q(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2484)\/24)\/23*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 439 + 5*c**2 + 8*c**3 + 442 - 883 - 2*c as z*c**3 + k + a*c**2 + o*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08412 to 3 decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*((-21)\/9 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -388, -1211, -2468, -4159, -6284?\n\"Answer: -217*z**2 - 172*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 4*f**4\/3 + f**3\/3 - f**2\/2 - f. Let i be 10\/2*10\/(-25). Calculate the remainder when z(i) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425629 is divided by 4295.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69 times -0.01\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 15) to base 12.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3718 and 15\/154.\nAnswer: 26026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1611*k + 1. Let d be m(1). Let y = d + -461. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1092 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*t - 1\/5 - 4\/5*t**2.\nAnswer: -(2*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -121. Suppose 5*q - 2*r - 2*r = 1574, 0 = c*q + r - 941. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 - 12*l + 5. Let z(j) = -7*j**2 + 13*j - 6. Let r(p) = 6*f(p) + 5*z(p). Determine r(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50.689 + 50.9. Let t = 0.19 - k. What is the third biggest value in 5, -2\/9, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -1, 0, 51, 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -1\/5*k**5 - 22\/3*k**3 - 7*k + 2\/15*k**6 - 7 - 8*k**2 - 3*k**4. Factor n(a).\nAnswer: 4*(a - 4)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-72)\/20))\/((3\/3)\/2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - -5) + 23 + (-1 + 1 - -15).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67849, 131101, 194341, 257563, 320761, 383929, 447061, 510151?\nAnswer: 573193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*d**5 - 86*d**3 + 139*d + 61?\nAnswer: -2460*d**3 - 516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/(23\/(276\/8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2b?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-1100.\nAnswer: 14300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 + 5*g + 1. Calculate r(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 2.5 in descending order.\nAnswer: 2.5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Suppose h - 9 = -x. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 611028 and 132?\nAnswer: 611028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 714904 + 1028\nAnswer: 715932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 52. Let y = -237\/4 + g. Sort y, -4, -1.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:08 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b3b0a - -53?\nAnswer: 2b3b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*c. Suppose 0*v + 3*v - 6 = c, 11 = x + 3*v. What is the second smallest value in -2\/9, x, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 15) to base 10.\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 26 + 5. Let q be (-2*(0 - 1))\/1. Let c(j) = -o*j**q + 5*j**2 - 5*j**2 - 2*j**2. Let z(b) = -2*b**2. Calculate c(z(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848961 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**3 + 5*l**2 + 9*l + 5. Let b(q) = 10*q**3 + 7*q**2 + 13*q + 7. Suppose -4*h = -2*k - 9*h + 25, k - 8 = -h. What is k*b(n) - 7*f(n)?\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 6:14 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -7, 0.11, -1\/20 in descending order.\nAnswer: 3, 1\/4, 0.11, -1\/20, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g - 60. Let f(v) = -3*v + 22. Let k(y) = 11*f(y) + 4*s(y). Let o(x) = 3*x**2. Give k(o(d)).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-21) - (13\/((-819)\/18))\/(-3). Solve n*m + 15 = 0, m + 4 = -2*u - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40910, 40905, 40910, 40931, 40974, 41045, 41150?\nAnswer: 41295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60579\/27 + 2\/(-6)*2. Let h = s + -11152\/5. Find the common denominator of 55\/18 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-26)\/4 - 2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2629278 by 6.\nAnswer: 438213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(7 + -4 + -2). Suppose -3*f - 785 - 1099 = p. Is 39\/(-26)*f\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -93. Let z be (-4)\/q - (-2054)\/39. Suppose -v - 2*x = -4*x - z, -2*v = 4*x - 80. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 4*m + 5. What is the lowest common multiple of 10 and v(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/3*2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 848647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1695 in -5\/4, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*l - 432, -3*z + 9*l = 14*l - 492. Calculate the remainder when z is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -51, 4\/7, -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/28 (b) 4 (c) 0.1 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = -1572. Let z be (-3)\/(-1173)*f - (-5 + 4). Let l = 1160\/73899 + z. Are l and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13052)\/251 - (-861)\/15.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129 - (-1 + 1)) + 610 + -690 + 83?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/92*4\/9*7*1.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7219061 and 635?\nAnswer: 36095305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2)*p)\/p**(-2\/3)*(p**(-1\/2))**(-1\/3) assuming p is positive.\nAnswer: p**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3260395 is divided by 749?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1688 (b) 3.1 (c) 3\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-14) - (-4)\/14. Let i(p) = -2*p**3 - 3*p**2 - 9*p - 1. Let l(y) = -19*y - 9*y**2 + 41*y + 16*y**2 - y**3 - 8*y**2 - 23*y. Give d*i(r) - 3*l(r).\nAnswer: r**3 - 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-4 + 5 + 6 + 5*r + (-60*r - 3*r + 5*r)*(-5 + 2 + 1)).\nAnswer: 121*r + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -173\/2287? (a) 0.5 (b) 6 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/23 - 32*s**3\/23 - 292*s**2\/23 + 3360*s\/23 + 22050\/23.\nAnswer: 2*(s - 15)**2*(s + 7)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 5. Let i(t) = -8*t + 14. Let c(f) = -5*i(f) - 14*v(f). Let r(j) = 20*j. Let n(g) = 7*g. Let z(a) = 14*n(a) - 5*r(a). Calculate c(z(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:57 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 2. Let i be j(2). Is i greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5308, 2, 0.3, 5, -3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478338 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: Let p(r) = 0 - 8*r + r**2 + 12 + r. Let w be p(5). Suppose y + w*y = -4*b - 36, -5*y - 2*b - 46 = 0. Is y >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2090\/7 + -9271\/42. Let j = 78 - h. Let s be -5 + -1 - 4*(-247)\/190. Which is the smallest value? (a) s (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = -i + 14, 0 = -4*i + 3*t + 37. Suppose -2*q = 4*f + 12, -1 = 5*q + 3*f + 1. Let z = i + q. Solve -n - 7 + 2 = 5*h, -5*h = -3*n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*4 + 5 + (sqrt(15)\/sqrt(5) - sqrt(3) - sqrt(3)) - 5*6*(sqrt(3) + sqrt(6)\/(sqrt(2)*2)))**2.\nAnswer: -420*sqrt(3) + 5317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**10\/12600 + f**9\/1890 + f**8\/840 - f**6\/180 - f**5\/12 - f**2. Let s(x) be the third derivative of q(x). Factor s(d).\nAnswer: 4*(d + 1)**3*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5959*y = 89*y - 225068 - 210388 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euepgepmueemgemee. What is prob of sequence eu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 3 + 286*q**2 - 308*q**2 as p + c*q + d*q**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63a - -1?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x - 3*x**2 + 12*x. Let b(q) be the second derivative of -q**3\/3 - 4*q. What is b(v(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9)\/((-2)\/(-6)). Let h be (-8 + 14)\/(3\/(-4)). Let n be 2\/h - (-55)\/44. Solve 2*u + w = -n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 40 - 16. Let y = f + 16. Suppose -y = 3*t - 8*t. What is the least common multiple of 1 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2597*i**3 - 5963*i.\nAnswer: -15582*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + -10100001?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 87*p - 174. Let q be r(2). Solve -20 = -4*h - 5*m, -4*m + 5 = h - q*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 1, s: 4}. Give prob of sequence spss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Let i be 13\/3 + -3 + 2\/3. Factor 2*h**3 + 3 + h**5 + 2*h + i*h**2 - w*h - 3*h**4 - 2.\nAnswer: (h - 1)**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 834 or -5419?\nAnswer: 834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/307 and -37\/113711?\nAnswer: 34909277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29993\/22 + 1363. Find the common denominator of g and -71\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:44 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 312*z**2 - 3*z. Let g be p(-1). Let j = 317 - g. Solve j*l = 6 - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21082875 = -3*g - 3*u, 3*g + 6974474 = 5*u - 14108369. Let o = g + 18535698. Suppose 4991923 + o = a. What is a rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.54. Let o = 11 + -21\/2. Which is the nearest to o? (a) 4\/3 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 5*j**2 - 25*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t - 24322 = -2*u - 58*t, 4*u + 4*t - 48644 = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1214*h. Let i(y) = 1615*y**2. Give p(i(g)).\nAnswer: -1960610*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 times -2.7?\nAnswer: 302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*q + 3134 = -36275, 7881 = a - q. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*p + 4*z + 38 = -144*p, -4*z = 5*p + 35 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*c - 269 = -268, -c = 4*j - 8. Let t(y) be the second derivative of 7\/2*y**j + 0*y**2 - 16*y + 0. Let v(a) = -2*a**2. Calculate v(t(r)).\nAnswer: -882*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 28737 = -f + 189679, -3*f = -21. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Suppose 5*q + f - 3*f - 6411 = 0, 3*q = -a*f + 3857. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let h be k(-1). Let j(v) = 2*v - v**3 - 4 - v**2 - v + h*v. List the prime factors of j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Let q = -42 - -44. Which is the second smallest value? (a) 1 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 14, -10\/7, -4 in increasing order.\nAnswer: -4, -10\/7, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132266?\nAnswer: 2, 41, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 84744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 3, -6, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 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: Subtract 79 from 254.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3080 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - m = -2*y + 19, y - 9 = m. Let b(j) = -4*j + j**3 + y*j**2 + 9*j - 3*j. Give b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76456.78km in micrometers?\nAnswer: 76456780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/(4\/8). Let o be (-9)\/7 - v\/(-7). What are the prime factors of (-95)\/(-15) + o\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -s + 12 + 4, s = j + 4. Suppose c - 4*c + 150 = s. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*i + i - 64, 0 = 4*u - 5*i - 59. Let j = -3 + u. Let r(h) = 8*h - 11. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + 2255\/225)*9. Let g be (-1)\/2*2*-5. Factor -q*r**4 - 3\/5*r**3 + 2\/5*r + 1\/5*r**g + 1\/5*r**2 + 0.\nAnswer: r*(r - 2)*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464912475 to the power of 1\/2, to the nearest integer?\nAnswer: 21562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.8. Let x = -6.9 + 7. Let m = x + 0. Is g > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16912209 - -26302209. What is n rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d667 - -3?\nAnswer: -d664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 + 8 = 0. Suppose j*a - 9 - 9 = 0. What is the remainder when 24 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303063769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 14. Let w = -24 + 28. Calculate the remainder when z is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/442 + 19614\/12852.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1113330*k - 10. Let l be d(3). What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12.412. Let p = b + -0.222. Sort -1\/9, p, -0.5 in decreasing order.\nAnswer: p, -1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z\/(z\/(z*z**(-2)*z*z*z)))\/z))**(1\/18))**(-25\/3) assuming z is positive.\nAnswer: z**(-25\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 52*u - 328. Determine j(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 77*u + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 1825563146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9362 and 53506.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*w - 13 + 57, 0 = 2*m - 3*w + 42. Let c(u) = -2*u**2 + 37*u - 68. Let b be c(2). Sort 1, b, m in increasing order.\nAnswer: m, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 - (11 - 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -19, 4, 5, 3, 5251 in decreasing order.\nAnswer: 5251, 5, 4, 3, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2\/5*f**4 + 4316\/5*f**2 + 155682\/5 + 32*f**3 + 8928*f = 0.\nAnswer: -31, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6436 is divided by 174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.725 + 29.725. Let v = -23 + 39. What is the biggest value in o, 6, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3303 by 5.\nAnswer: 3303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 44*a**2 - 23*a - 806. Give k(44).\nAnswer: -1818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 - 5*f + 287. Suppose -102 = -4*n + x, -45 = -n + 2*x - 16. Suppose h + n = 6*h. What is the remainder when u(-9) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 + 63 - 63.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 22*s + 8*s + 6*s + 58*s + s**2 - 1286 + 1191 = 0.\nAnswer: -95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 40*a**2 - 91*a + 445. What is the remainder when k(5) is divided by 67?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9944.5 millilitres?\nAnswer: 9.9445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390202392 and 39634?\nAnswer: 5662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 52 + 364. Suppose 75*l + 3 = a*l. Let z(n) be the second derivative of -4*n**3\/3 + 6*n. Calculate z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13950 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78924370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:01 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30*y - y + 2*y.\nAnswer: -29*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -187 times -1\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1097839 + 1097838 + 52*k - 51*k. Let t(y) = -5*y + 2. Give -12*c(f) - 3*t(f).\nAnswer: 3*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 0.5. Sort 0.1, -5, a in ascending order.\nAnswer: -5, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2241064.6 times -0.24\nAnswer: 537855.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 17. Suppose 5*u - 5*y + 5 = 0, 5*u - 4*u + 5*y = -19. Let t be f(u). Suppose 4*v + 3 = 7. What is the highest common divisor of t and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3\/3 + 8615*f**2\/3 - 7302158*f\/3 + 3648925\/3 = 0.\nAnswer: -5033, 1\/2, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2691\/1340 - -446457\/159460. Let o = h + 1\/119. Factor -2\/5*j**4 + 14\/5*j - o - 18\/5*j**2 + 2*j**3.\nAnswer: -2*(j - 2)*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 6 = 6*w. Let b(k) = 6*k - 10. What is b(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 - p**2 + 29*p + 129. Is 25 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200c (base 13) in base 6?\nAnswer: 32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 2*n**2 - 3*n**2 + 68108*n**3 - 3*n + 3*n**2.\nAnswer: 68108*n**3 + n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*((-6)\/2)\/18?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 3 + 106*p - 111*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m = 4626 + 31018. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 5*s - 2. Let g be l(6). Suppose -2*v + 0*d = -2*d - 4, 38 = 3*v + 5*d. Suppose -v*c + 2 = -10. Solve 4 = -g*r + c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 4 - 1 + 5.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/450132 and -17\/138.\nAnswer: 10353036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(0 - 2*d + 0) + 9*d - 16*d - 11*d to the form n + g*d and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -5.1. Sort 2, v, 0.3 in decreasing order.\nAnswer: v, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) -1012\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x = 48*x + 1143 - 3938 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 + 2. Let f(u) = 37*u**2 - 6*u**2 + 11 - 10*u**2. Determine -2*f(b) + 11*o(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -66*p + 17. Determine z(4).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -19. Is -1\/4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:59 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2970 - -2975. Let v(s) be the third derivative of 11\/10*s**t + 10\/3*s**4 + 0 + 1\/105*s**7 - 9*s**2 + 1\/6*s**6 + 16\/3*s**3 + 0*s. Factor v(a).\nAnswer: 2*(a + 1)**2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjqbjqjjjjjqqqjqqjqq. Give prob of picking 3 q.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1200 and 3400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 22*x**2. Let s(g) = 12481 + 7*g**2 - 12481 - 8*g**2. Give r(s(t)).\nAnswer: 22*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + (0 - -2) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 94*h**3 + 0*h**3 + 1 + 6*h**2 + 96*h**2 - h wrt h.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3570765 and 1463.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*i - 5 = 0, -798*u + 932*u = -2*i + 392 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -34*c**2 - 7*c + 77. Let z(k) = k**2 + k - 15. Let i(x) = -t(x) - 5*z(x). Let q(j) = -j**2 - j + 1. Determine i(h) + 2*q(h).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -8 - 20. Suppose 0 = w*y - 10*y + 30. Solve 3*o + 10 = m + m, -4*o + y = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107175 and 68850.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2, -66, 2 in decreasing order.\nAnswer: 4, 2, -2, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 290123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 143185489*-0.2\nAnswer: -28637097.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*n - 58. Suppose -40*v + 2*z + 6 = -38*v, 0 = 3*v - 2*z - 11. Calculate the remainder when n is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*x + 2884 = 0, -4*u + 11*x = 10*x + 11536. What is u rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159509617 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15) - ((-33)\/(-5) - 3)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12451 equal to -11715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*w - 6 - 341*w + 686*w.\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3747\/322 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13120\/11 + 15500\/13. Find the common denominator of i and 105\/442.\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753 is divided by 533?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768108 and 175692.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 6. Let l be (-6)\/15 + 6\/15. Suppose l = 2*w - 0*w. Suppose w*g = -5*g + 20, -k + 2*g = 2. Let n(c) = -6*c**2 - 11. Give k*n(d) - 11*i(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 5*g - 5*g**2 + 3*g + g + 13*g**2.\nAnswer: 8*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 4*k + 16, -4*k + 4 = -w. Let s be 2 - w\/(-3) - -6. What is the remainder when 26 is divided by 7\/28 + 55\/s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11115*-8820\nAnswer: -98034300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*t = 428*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + z, 2*n - 7 = n - z. Let s be (1\/(-3))\/(n\/(-54)). Calculate the greatest common divisor of 60 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*d = 2455379 - 6122275 - 9734986. Round d to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 0. Let p be 1 + 1*-1 + 20 + -19. What is the third smallest value in 4, c, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-4 - (-5 + 3)). Suppose g = -7*c + 13 + 8. Is 6 a factor of 24\/2 + (0 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*10\/(-120))\/(3\/36)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttuttututt. What is prob of picking 1 t and 2 u?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12097, -24212, -36325, -48436, -60545?\n\"Answer: p**2 - 12118*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 61\/7 + 2\/7. Let h(y) = -y**2 + y + 4. Let k be h(0). Let s = k + -3. Calculate the greatest common divisor of s and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 105 + (4 - 3)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -173 (c) -0.38 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + y - 5*y**2 + 32*y**2. Suppose -3*z = 2 - 5. Let i be h(z). Calculate the highest common divisor of 65 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.063 - 0.993. Let d = t - -10.83. Let m = d + -9.814. Round m to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -44040?\nAnswer: -44043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.6827nm in centimeters?\nAnswer: 0.00008636827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -4900 + 701. Calculate the highest common factor of t and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 - 197. What is the common denominator of 13\/2 and (p\/22)\/(-1)*(-240)\/20?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 121211 (base 3) to base 15\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*245\/98\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5603.\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**3 - 5*l**2. Let o(z) = -z**3 - z**2. Calculate -5*o(u) + w(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, -130, -298, -464, -628?\n\"Answer: k**2 - 173*k + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/(-15) - (-22)\/(-55). Suppose t + 59*n - 62*n + 5 = 0, 3*n - 20 = k*t. Put -71, t, -2 in increasing order.\nAnswer: -71, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-14)*(-18)\/(-54). Which is the fourth smallest value? (a) -4 (b) x (c) 2\/13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n + 53*n = 5*m - 9, 0 = -5*m - n + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2 + 94*b + 1623. What are the prime factors of h(-16)?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -9 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169*n**5 - 7933*n**4 + 7933*n**4 + (-2*n**4 + 4*n**3 - 4*n**3)*(2*n - 4*n + 4*n) - 2*n**5 + 4*n**5 - 4*n**5.\nAnswer: -175*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16380 = 33*l - 27*l. Calculate the common denominator of 41\/7 and ((-9515)\/l - -4) + (-6)\/18.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 389, 1214, 2039, 2864?\n\"Answer: 825*m - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 63 - -15 - -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 - -9. Let y = -16615 + 16613. Which is the nearest to y? (a) f (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*o - 19, 2*f + 234*o = 230*o + 32. Solve -25*y + 27*y + f = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34569\/10024 - -195\/56. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - 6 - (-12 - (-3 - 4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9731155.\nAnswer: 5, 7, 39719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 + -2 - (8 + -5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -17*a - 67. Let v be h(-7). Let r = 6548\/3 + -2132. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 1. Let d(k) be the third derivative of -k**5\/60 + k**4\/8 + k**3\/3 + 2*k**2. Give d(j) - 2*u(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*k + 340*k + 7 = 5*c, c + 4*k - 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 304*j**2 + 2574*j = 0. Calculate j.\nAnswer: 0, 9, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242840.46us to minutes.\nAnswer: 0.004047341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = 4*m + 4*x, 3*m - 3*x - 1625 = -m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69683.11t?\nAnswer: 69683110000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130c (base 13) in base 5?\nAnswer: -41331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = -9*b - 167. Let k be -7*6\/b*22. Calculate the highest common factor of 22 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, 1\/46, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 567\/(-14)*(-4)\/6. Let m = y - 23. Find the second derivative of -4*q**4 - 8*q + q**4 + 5*q**m wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose 0*c + 4*c - 3*o = l, 2*o - 11 = -c. Solve -2*s + 10 = c*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82918492 to the power of 1\/2, to the nearest integer?\nAnswer: 9106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -9 - -21 - (-5 - (5 + -3 - -2))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.6217 millennia in centuries?\nAnswer: 376.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/104*-2*-17*4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r**2 + 238*r + 751. Determine i(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 345898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - b - 1. Let d(k) = -251*k**3 + 6*k + 197. Let q(w) = d(w) + 6*h(w). What is the first derivative of q(p) wrt p?\nAnswer: -717*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t**(-3))\/(t**(-1\/5)\/t*t*t**(4\/3)))\/(t**(-1)\/(t*(t*t\/t**(1\/10)*t*t)\/t*t))**(-7\/6) assuming t is positive.\nAnswer: t**(-481\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/4))\/k**(-1\/2))**(-45)*(k**(-2)\/((k*k**(1\/4)\/k)\/k))**(-31) assuming k is positive.\nAnswer: k**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2571891, -2571887, -2571883, -2571879, -2571875?\n\"Answer: 4*t - 2571895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 + 319*w - 58. Calculate f(-40).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Let u(y) = -y + 17. Let a be u(16). Let t = 1.2 - -3.8. What is the nearest to a in -5, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 - -0.06. Let p be (-1 + (-30)\/12)*(-1230)\/(-13). Let g = p - -331. What is the nearest to -1 in g, 0.4, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6139*m - 3791*m + 15*m**3 - 2348*m.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 54747 + -10358. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4698*w - 6880*w - 7365*w as u + n*w and give n.\nAnswer: -18943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q + 60. Calculate d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjvibvj. What is prob of sequence viz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1342, -7, 2, 0, -19 in ascending order.\nAnswer: -1342, -19, -7, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685970008.\nAnswer: 2, 257, 557, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2579*g**2 + 2578*g**2 - 5*g + 2*g + 0*g**2 - g**2 - 2*g**2 + g**2 + 3*g**2 - 3*g**2 + (4*g**2 + 2*g**2 - 5*g**2)*(3 + 1 - 2) - 11*g**2 + 106 - 106.\nAnswer: -12*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(98) - (sqrt(98) + 1 + sqrt(98)))*6 - (sqrt(98)*-2 + -4))**2 - -1*(sqrt(4)\/(sqrt(2) - 3*sqrt(2)) - (sqrt(144)\/sqrt(8))**2).\nAnswer: 223*sqrt(2)\/2 + 1559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/42 + 32*a**3\/7 - 95*a**2\/7 - 3741*a - 1. Factor g(f).\nAnswer: -2*(f - 95)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -226 (b) 3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/2 + 743084*j**2 - 276086915528*j = 0.\nAnswer: 0, 743084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16550837*c*f**2*t**2 + 3*c*t - f**2*t**2 - 8760*f**2*t + 8*t**2 - 4*t wrt c?\nAnswer: -16550837*f**2*t**2 + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 2, -1\/4, -0.1 in increasing order.\nAnswer: -171, -1\/4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*i - 125, -5*i = -4*t + 3*t. Suppose t*y - 1547 = 18*y. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - 45. Suppose 0 = h*x - 54 - 54. Suppose 0 = -15*i + x*i. Solve y = -i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 880513 - 565513. Suppose 5*d - v = -0*d. Suppose -2*f - f = -d. Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1067 and 5.\nAnswer: 5335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011011000111 (base 2) to base 11.\nAnswer: -660a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/148 + -25\/37. Sort 0.2, k, 0.047.\nAnswer: k, 0.047, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -2*x = 0, 3*x - 320 = 5*a - 940. Let t be (-2)\/(3 + a\/(-40)). Solve -l*p = -6*p + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722893.7 rounded to the nearest 10000?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 197, 679, 1603, 3113, 5353?\n\"Answer: 24*g**3 + 5*g**2 + g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/10560 and -151\/4752?\nAnswer: 95040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 4, a: 10, x: 4}. Give prob of sequence xfff.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f - 1667010 = -108*f. List the prime factors of f.\nAnswer: 2, 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 0, 0 = 2*r + 3*b + 3 - 23. Suppose 5*n + 17 + 8 = 0. Let k = n + 9. Solve k*h - 9*h = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.79628 rounded to one decimal place?\nAnswer: -142.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 5. Suppose i - p*i + 4 = 0. Solve -2 = -x - 4*c, i*x + 0*c = 4*c + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.27 and -2137.55461.\nAnswer: -2137.82461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391110?\nAnswer: 2, 3, 5, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -903 - -3a3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4\/2 - 4809*x**3 - 993555*x**2\/2 - 12002100*x + 56265000 = 0.\nAnswer: -3100, -55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 234*h**2 - 1332*h - 12. Calculate u(-111).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/((3\/(-15))\/(176\/660))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 3)*(-6*r**4 + r**4 + 2*r**4) + r**4 + 2*r**2 + 3 + 4*r**4 - 5 to u*r**4 + s + l*r**2 + x*r**3 + h*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(27)\/sqrt(3)) + -2 - (-4*sqrt(99) + (-1 + sqrt(11))*6).\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -12. Let i be 3 + -4 - u - -4. Let r(j) = j**2 - j + 8 - 14 + 10. Determine r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2446, -5, 2744 in decreasing order.\nAnswer: 2744, -5, -2446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.097, 3, -0.4, -0.69, 25, 1, -101?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 5765416.\nAnswer: 17296248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*h + 9 = -3, 3*h = 3*t. Let c(l) = l**2 + 2*l - 4. Let a be c(-4). Suppose -m = -a*m + 123. What is the smallest common multiple of m and t?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*(-252)\/(-2646).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 8) + (-3 - (2 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 9) to base 13\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(0 + (-10)\/(-5)). Solve 0 = -2*p + w - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, 47, 62, 85, 116, 155?\n\"Answer: 4*j**2 - 5*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -37 + 71 - 26 + o. Let x = 3 - -22. Let m = x + -33. Give g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -3. Let j(p) be the first derivative of -8*p**2 - 4*p + 4. What is the tens digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 142 = 3*t. Let v be 9\/18 - t\/2. Let q = v + 59. What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14392304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -364*o + 377*o. Let p(q) = q**3 - 7*q**2 + 5*q - 3. Let n be p(6). What is the smallest common multiple of o and ((-138)\/n)\/((-1)\/(-3))?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 - -2.7. Which is the biggest value? (a) 2\/7 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z - 1. Let w(c) = c**2 - 15*c + 13. Let x be w(14). Let m(f) = -11*f**2 + 11*f - 6. Let t(n) = x*m(n) + 6*j(n). Let t(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1310 + -10543\/8. Calculate the common denominator of j and (926\/(-160) - -5)*5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502880 is divided by 100?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -30*k**2 + 2*k - 45. Let d(l) = 15*l**2 - l + 23. Let b(w) = -7*d(w) - 4*g(w). Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32618, 65936, 99254, 132572?\nAnswer: 165890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63744 and 611136?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**5 - 3*d**4 - 118706*d**3 + 3*d + 3396021.\nAnswer: 140*d**3 - 36*d**2 - 712236*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5289 (base 11) to base 6\nAnswer: -52214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0 + 2 - x**2 + 2. Let z be t(0). Is 4 a factor of (1 + 1)\/1*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 28*y. Suppose 34*o - 35*o = 5. Let r be (-3)\/(1\/2 - o\/(-4)). Let a(d) = -7*d + 10*d - r*d - d. Determine u(a(p)).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, -0.1, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1200892 and 1091720?\nAnswer: 12008920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47775 and 919800?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1030 + 5?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(5 - 5 - j)*(-2 - 2 + 6).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -5 (b) -2\/5 (c) 0 (d) -0.273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 881737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349*f**4 - 1335*f + 2?\nAnswer: 4188*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = 5*a + 2*x + 281, 370 = -2*a - 4*x. Let l be 6 + (3092\/18 - 1). Let v = a + l. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5 - 464*b**4 - 3661*b**3 - 5898*b**2 + 13752*b + 32832 = 0.\nAnswer: -456, -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412608, -412582, -412520, -412404, -412216, -411938, -411552?\nAnswer: -411040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 3196, 7825, 14324, 22693, 32932?\nAnswer: 45041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5 + 9*t - 2 - 3 + 5. What is the tens digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 634 - 162 - 162 - 164 - 160 - 29*z to the form r + m*z and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*s + 102, -4*s + 2*f = -f - 90. Let c(j) = -j**3 - 4*j**2 + 4*j - 1. Calculate the remainder when c(-6) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, 2*v + 2*l = 1 + 7. Suppose 0 = v*n - 0*q - 5*q + 10, 3*n + q = -17. Put 4, -3, n in increasing order.\nAnswer: n, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 - 26*w + 12. Let n be g(-9). Solve -n*u = 6 - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7831, -15502, -23037, -30436, -37699, -44826?\n\"Answer: 68*k**2 - 7875*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 164*j - j**2 - 164*j. Let z(b) be the first derivative of -1 + 0*b + 1\/2*b**2. Determine g(z(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35726, -71470, -107224, -142988, -178762?\n\"Answer: -5*z**2 - 35729*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-235)\/(-35) - -9) + -16. What is the biggest value in d, 6, 5, 1\/7, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 10:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. Let r(x) be the first derivative of 5*x**3\/3 - 17. Calculate r(p(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c - 78*c = 12. Let s(b) = 4*b**c + 4*b**2 - 10*b**2 + 5*b**2 - 3*b. Determine s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 531?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**3 - 548*j**2 - 149*j + 588. Calculate o(-78).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1301531734 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.57 + 0.27. Let k = 7375 - 51630\/7. What is the nearest to 1\/2 in c, 5, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-14) + ((-3675)\/21)\/35.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.14 and 39272.\nAnswer: 39274.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456 * -11.\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -109865695, -5, 2 in ascending order.\nAnswer: -109865695, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 46 - 71 = 0. Suppose 0 = -5*g + a + 278, 4*g - a - 208 = -l*a. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11458 - 11414. Calculate the smallest common multiple of 165 and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*14\/840)\/(4\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 + 7656.\nAnswer: 7744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89850224*j**3 + 247443504?\nAnswer: -269550672*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:11 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/60*(-51)\/(-2). Is (141 + 4)\/(-5)*t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q**3 + q**2 - 1. What is o(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*x + 9 - 22, -4*x = 2*a + 44 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.272808 rounded to one dp?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 312\/29?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*(-2)\/(-4). Let m = -10 - -5. Let k = 5.1 + m. Is j smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5*n + 2. Suppose 0 = -3*x + 2 + 10. Suppose -x*t - 39 = 5*c, -5*t + 10 - 52 = 4*c. Give r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (3 - (-4)\/4). Let o = 0 + d. Sort o, 1, -5 in ascending order.\nAnswer: -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26612 + 810*w - 397 + 3*w**2 + 28460.\nAnswer: 3*(w + 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2873472.3 months?\nAnswer: 2394.56025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -91, -260, -499, -808, -1187, -1636?\nAnswer: -2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - z. Let k be p(1). Let o be 6\/k*(-10)\/3. Solve 2 = v + 2*v + d, 4*d = -o*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -200*n**4 - 955*n**3 - 1375*n**2 - 440*n + 180 = 0.\nAnswer: -2, -1, 9\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36066 + 51441. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -269*r + 141*r + 129*r - 2. Let y(j) = -1 - 4 + 4. Calculate -2*m(g) + 3*y(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1051 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 14*q = -6. Let f(i) = -2*i - 4. Let h be f(-4). Let m = h + q. Which is greater: 0.6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000634 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 11. Let y be h(6). Let g(w) be the first derivative of -21*w**4\/4 + w**3\/3 + w**2\/2 - 138. Calculate g(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043093 rounded to seven dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - -5?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127 or 2\/13547?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {y: 5, s: 8, h: 1, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r**2 + 12*r + 15. Let z be b(-5). Suppose -3*w + 7 + z = 0. Suppose 38 = 2*s - w. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 3, q: 3, o: 1}. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 38*f**2 + 409*f - 13731. Calculate r(37).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 912 = 2*u, 926 = -2*u + 6*q - q. Let t = -426 - u. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 64 = 9*w. Suppose 0 = w*j - 1242 - 230. What is the highest common divisor of 46 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 308 = 22*q - 115 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*y - 459242, -82*y + 84*y - 229614 = -2*r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6252079, 12504168, 18756257, 25008346, 31260435?\n\"Answer: 6252089*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*sqrt(102) + sqrt(102)))\/(sqrt(12)\/sqrt(2)*-3) + 3)*1.\nAnswer: sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197287 by 2.\nAnswer: 197287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1157.6618 to the nearest ten.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22545.9497 + 22437.94. Let o = -141 + 33. Let r = o - t. What is r rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*m = -24, 3*q = 3*m + 11 + 1. Let j be q\/(-5) - (-3 - -1). Let z = -0.848 - -1.248. Which is the closest to z? (a) -0.4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -1621, -1401, -1035, -475, 327, 1419, 2849?\nAnswer: 4665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17665925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9755 + -8264. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*o**3 - 54*k**3*o**2 - 3*k*o**4 + o**6 + o**2 wrt o?\nAnswer: 18*k**3 - 72*k*o + 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1754 divided by -3\nAnswer: -1754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7329\/4 + -1832. Which is smaller: d or 586?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365702 is divided by 652?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:02 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -4, 190 = q - 4*o. Let g be 10\/35 - q\/2296. Let u = 2\/41 + g. Which is the second smallest value? (a) 3 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169815*p*t + 113151*t with respect to p.\nAnswer: 169815*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 20*m + 116. Calculate j(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -4, 8, 1, -554.\nAnswer: -554, -30, -4, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55560450 a multiple of 11325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - 4*g**2 - 5*g - 4. Let u be d(-3). Let z be ((-6)\/(-7))\/(8\/u). Suppose 96 = -z*s + 9*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 19 + (8 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*l**2 + 58360*l - 4 + 88*l**2 - 58360*l + 2.\nAnswer: 558*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -10. Let g be 2\/(-8) - 26\/(-40). Let l be (-4)\/(-10) - (-11)\/(-15). Which is the second smallest value? (a) l (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 288 - 226 = -382 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(-9)\/6*(-793)\/305?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2305857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**6 + 2*z**4 - 172*z**3 - 887*z**2.\nAnswer: -960*z**3 + 48*z - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - u**2 - 8*u**2 + 22*u**2 - 6*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - 3*u - 6*u + 2. Let s be c(-8). Let i = -5287\/6 - -891. Which is greater: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 9*g**2 - 6*g + 11. Let t(s) = s**3 - 5*s**2 + 3*s - 6. Let x(y) = 2*y - 5. Let r be x(-3). Calculate r*t(d) - 6*k(d).\nAnswer: d**3 + d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-76720)\/(-3780)*(-6)\/(-16) and -4 - -2 - 149\/(-42).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 631?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(210)*1 + sqrt(210))\/sqrt(10))\/(-6*sqrt(3)*-1) - (-5 + -4*(sqrt(7) + -2)**2*3).\nAnswer: -95*sqrt(7)\/2 + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 40. Let u(n) be the second derivative of n**4\/4 + 20*n. What is u(s(q))?\nAnswer: 48*q**4 + 960*q**2 + 4800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from yqqyqqqqyqq.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r + 3. Let h be d(0). Suppose h*k - 3 = -0. Let v = -19.278 - -41.278. Is k smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 46*t**2 - 321*t + 258. Let n be q(6). Let j(o) = -2 + 3*o - 9 - o. Calculate j(n).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 583717672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.54 - -8.51. Let x = 0.03 + z. Let s = 0.01 + -3.01. Which is the nearest to -1\/4? (a) s (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -2, 7, -687?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y - 67 - 33. Solve 11*r - y = -27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or 103396?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i**2 - 2. Let g(z) = -12*z**2 - 3. Let o = 5 + 0. Let k(p) = o*m(p) - 4*g(p). Find the first derivative of k(c) wrt c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*u**4 + 388461*u**3 - 64743*u**2.\nAnswer: -3*u**2*(u - 21581)*(6*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 56 - 79 = 0. Let r = -32 + s. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -23970*t - 39. Determine b(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:35 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**6))\/s*s**20)**25 assuming s is positive.\nAnswer: s**625","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/2 of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324.338 - -338.1319. Let x = -13.8 + m. Round x to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -3, -10.\nAnswer: -10, -3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 - -10.9491511.\nAnswer: -130.0508489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 0.7, 3, -48796?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262 + -131. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxyxyyxyxxcxxx. Give prob of picking 1 c and 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzbzzzbzzzzzb. Give prob of sequence zzb.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -1052, -3365, -7822, -15137, -26024, -41197?\nAnswer: -61370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 415, 439, 493, 589, 739?\n\"Answer: 2*p**3 + 3*p**2 + p + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*p - 65*p - 30723. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*m = 216 - 211 + 505 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1020*s**4 + 3*s + 494*s**4 - 6 + 507*s**4 as c*s**3 + f*s + t*s**4 + b*s**2 + i and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*h + 5*b = -312*h + 5, -5*h + 46 = 7*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (-3 - 0))\/(-2). Suppose 0*b = x*b - 2. Let w(d) = d**3 + 7*d**2 + 6*d + 3. Let r be w(-6). Calculate the greatest common divisor of b and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/304 + -563\/1520. Put 4, f, -1.6, -2\/11 in descending order.\nAnswer: 4, -2\/11, f, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(12)\/sqrt(6)*-2 - sqrt(2) - sqrt(2)))*5.\nAnswer: -20*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4731 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**2 + 10294*b - 2574.\nAnswer: 2*(b + 1287)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103339779*x**3 + 322620088.\nAnswer: 310019337*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u - 7. Solve 0*s + u*s = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2263206152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 4. Let k be b(6). Suppose -5*x = -x - k. Factor h**2 - 3*h**3 + h**2 - x*h**2 + 6*h**3.\nAnswer: 3*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 23 + -4 + -31 + (3 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6741.074 - 6771. Let j = 30 + f. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2 + 2 + 3 + 6*o. Is u(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0096 - -2.0096. Which is bigger: a or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 - 2*o + 4. Let l be h(0). Let x be 14\/l - 3\/6. Suppose -x*z + g = -51, -4*g + 102 = -2*z + 7*z. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6593 + 0.6593. Is 1127 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (108 + 59 + -139)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 2:20 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 89, 86, 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2 - 8*b - 3 + 13*b - 4*b + 6*b**4 - 2 - 17*b**3 in the form p*b**2 + i*b + y*b**3 + j + m*b**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1050 (base 7) to base 11\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 + -45. Let v be (-6)\/4*(1 - a). Let r be (-3 + 1)\/(10\/v). Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + p - 13 = 0, -5 = -3*d + 2*p + 32. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28507285?\nAnswer: 5, 5701457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 + 0*i - 2\/3*i**3 + 1\/24*i**4 + 1\/30*i**5 - 40*i**2. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 446 and -0.042?\nAnswer: -18.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/11341771 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v + 10. Let p(z) = 2*z - 9. Let d be p(8). Let x(j) = -3 + 9 + 1 - d*j. Let i = 12 - 19. Give i*x(s) + 5*r(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96143987 and 490703.\nAnswer: 96634690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20004 <= -20004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 - 3*o + 8. Calculate l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13149294 or -2?\nAnswer: -0.13149294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 100, 422, 964, 1732, 2732, 3970, 5452, 7184?\n\"Answer: p**3 + 104*p**2 + 3*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**3 + 5*h**2 - 5*h + 5. Let c(o) = -19*o**3 + 8*o**2 - 8*o + 8. Suppose -49*g + 67*g + 144 = 0. Calculate g*s(l) + 5*c(l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/13 + 1862*j**3\/13 + 5328*j**2 + 348120*j\/13 = 0.\nAnswer: -30, -6, 0, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**8\/1680 + i**7\/420 - i**6\/120 - i**5\/30 + i**4\/6 - 5*i**3\/3 - 12. Let x(m) be the third derivative of c(m). Factor x(n).\nAnswer: (n - 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3 - 5 + 5 - 4 - m**3 + 8*m + 5*m**2. Let t be u(6). Solve 9 = -t*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230279 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: Suppose 0 = -r + 5. Solve 0 = -r*u - 3*x - 0*x - 7, 2*u + 2*x = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(7)) + -3 - (sqrt(175) - sqrt(175)*1))**2 - ((-1*sqrt(77))\/sqrt(11) + 1*sqrt(448) + sqrt(7)).\nAnswer: -20*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 26 = -0*b. Let s = b + -18. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by 34078.\nAnswer: -23\/3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -1128, -2984, -5566, -8874?\nAnswer: -12908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/(1\/211). Let j be ((-2110)\/(-35))\/(1\/7). Let q = m + j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 534.8851947\nAnswer: 463.8851947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344.9 rounded to the nearest 10?\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.98715 years in decades?\nAnswer: 2.698715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 2. Let s be 1\/(2\/12*3). Let v(t) = -2 + 1 + s. Let a(g) = -h(g) + 2*v(g). Let x(z) = 2*z**2. Determine x(a(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -608.5 + 608. Let u = 97.02 - 97. What is the nearest to -1\/2 in o, u, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.138 + 0.138. Which is the second biggest value? (a) -1 (b) f (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 - 76*a**4 + 172*a**3 + 3132*a**2 - 7776*a - 46656 = 0. What is a?\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, i: 4}. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 6*y**2 - y - 15. Let i(f) = -f**3 + 13*f**2 - 43*f - 1. Let h be i(7). Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322 (base 5) to base 14\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3, -133*w + 130*w - 72 = -4*l for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*n**2*p**2*r + 30*n**2*p*r - n**2*p - 18*n*p**2 + 3*p**2 - 11*p with respect to r.\nAnswer: -49*n**2*p**2 + 30*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 23, 2\/5, 10, 5\/4, -2\/43 in increasing order.\nAnswer: -0.5, -2\/43, 2\/5, 5\/4, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 246149106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -10, -13, -18, -25, -34, -45?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93.29 and 0.1053.\nAnswer: 9.823437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 5*x - 7. Let i be k(-5). Suppose 0 = -i*r + 21*r - 141. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34132 - 45?\nAnswer: -34221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 198\/5? (a) 2665 (b) -0.02 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 36 + 40 = 0. Let n be r\/(-33)*30\/20. Which is the nearest to -2\/13? (a) 3 (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c + 68*c + 2*k - 5630 = 0, -1126 = -c + 3*k. What are the prime factors of c?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122021101020 (base 3) to base 10.\nAnswer: 871431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7) + 1*sqrt(567)))**2 + sqrt(33)\/(sqrt(3) - sqrt(243)*-1).\nAnswer: 11\/100 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 y when four letters picked without replacement from {i: 3, y: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, 0 = -4*m + 6*u - 7*u - 688. Sort 4, m, 3, -4 in increasing order.\nAnswer: m, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 42?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:46 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 247 or 57206\/231?\nAnswer: 57206\/231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - t = -2*t - 6, g - 3*t + 2 = 0. Let y(h) = h + 1. Let p be y(1). Put -7, g, p, 4 in decreasing order.\nAnswer: 4, p, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**3 - 295*z**2 - 49*z - 39. Give a(-49).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1272815822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1472832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1*(-28)\/(-8). Let s(d) = -2*d**2 - 2*d + 5. Let i(f) = 5*f**2 + 4*f - 11. Let j(n) = w*s(n) + 3*i(n). Let r be j(-2). Solve -3*o = r - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 3*o + 12. Let y be j(2). Let h = 7 + -32. Let k = 33 + h. Solve 0 = -4*s + k, -y*s + 22 = -4*r + s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3629 = 6*o + 3653, 2*o + d = -16 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -628 - -998. Let i(z) = k*z**2 - 731*z**2 + 373*z**2. Let q(n) be the third derivative of n**5\/60 - n**2. Determine q(i(p)).\nAnswer: 144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/24 + 5*z**3\/3 - 38*z**2. Let g be f(0). Suppose g*v = 3*v + 161. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 8. Suppose 5*s - 43 + 13 = 0. Let t be q(s). Let d = -3190 - -3194. Put d, t, -2 in increasing order.\nAnswer: t, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s - 5. Let k(t) = -t + 1. Give -4*i(y) - 22*k(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 1\/6, -69, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3823 - -42059\/11. Which is the third biggest value? (a) 7 (b) -3 (c) 5\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 16, 37, 60, 85, 112?\n\"Answer: a**2 + 16*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d**2 + 8*d - 5. Let v be z(3). Let f = v - -542. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**4*q**(-2\/33))**29)**(-1\/14))**(-2\/41) assuming q is positive.\nAnswer: q**(3770\/9471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2 - 3*p. Let q be i(-2). Let d(l) = l**3 + 6*l**2 + l + 8. What are the prime factors of d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (-1*sqrt(112))**2) + -5*(-1 + sqrt(112) + sqrt(112)) + 0.\nAnswer: -530 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - 0) - (32 - 29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let s(b) = -b**3 + 7*b**2 - 7*b + 7. Let n be s(6). Let r be (-2)\/(-11) + (-36)\/(-44). Let g(c) = -n + r - c. What is f(g(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.7251238 minutes?\nAnswer: 0.04541873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:41 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*o - 4*v, 3*v = 7*v + 12. Let h(t) be the third derivative of 0 - 1\/40*t**6 + 0*t**3 + 23*t**2 - 1\/2*t**o + 0*t - 1\/4*t**5. What is d in h(d) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 210 = 15*k - 20*k, -3 = -k. Is 225 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l + 2 - 1 + 8*l)*(2*l**3 - 3*l**3 - 2*l**3 + (1 + 1 - 3)*(-2*l**3 - 2*l + 2*l)).\nAnswer: l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/7)\/p**(-1))\/(p**1*p*p**(-6\/11)) assuming p is positive.\nAnswer: p**(-79\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjx when four letters picked without replacement from xjxjxxjxjxxxxj?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1622 and 33404279.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2\/15 (c) -568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.4211 take away 0.26?\nAnswer: -129.6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = m, 4*b - 2*b - 4 = 0. Is 1\/9 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + -8 + 0\/(-1). Suppose 0 = -d*q - 5*w, 0 = 3*q - 4*w + 14 - 37. Suppose q*a = 4*a + 7. What is the least common multiple of 2 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 90. What is the remainder when i is divided by (-2 + -11)*(0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (10 + -4 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*t - 139 + 37, -4*v = 4*t + 132. Suppose 0 = 4*o - 0*o - 16. What is the units digit of (v\/(-6))\/(o\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**3*(k**1)**(2\/79))\/((k\/k**5)\/(k**4*k))**(-1) assuming k is positive.\nAnswer: k**(-867\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 8*l - 354 = 0. Suppose 169 = 6*y - l. Calculate the smallest common multiple of y and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 75836764 = 5*o - 1176759, -3*v - o = -111989999. Round v to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636206 (base 13) to base 15\nAnswer: -30e712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 59\/(-9)*-57 + (40\/(-24) - -3).\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -1. Let d(o) = -20*o**2 - o - 12. Let n(x) = -23*x**2 - 14. Let p(s) = 7*d(s) - 6*n(s). What is p(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 5*o - 22, 4*i + 5*o = -12. Let j be (23\/2 - i)*-6. Is -2 - 0 - (j + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662\/662*3\/(3\/(-28))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -40. Let c = 61 + m. Let b = c - 46. Solve -2 = -t - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/3)))**(-26)*(u\/u**8*u)\/u**(2\/3) assuming u is positive.\nAnswer: u**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189192434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = -12. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o. Let q(j) = 696*j + 290. Let l(i) be the first derivative of 29*i**2\/2 + 12*i - 182. Let f(u) = 145*l(u) - 6*q(u). Give c(f(x)).\nAnswer: 290*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - b + 17. Let g be s(4). What is the second derivative of 10*k**4 + 0*k**4 + g*k + 3*k**3 - 7*k wrt k?\nAnswer: 120*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3623 - -3626. Let d = -2.5 - -3.5. Which is the nearest to 1\/6? (a) d (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.164476 micrograms?\nAnswer: 5164.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3700740761.66885831 + 0.66885831. Let j = r - -3700740799.00000067. Let q = j + -38. What is q rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0868 + 0.1?\nAnswer: 0.1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*w + 5*d, 4*w + 4*d = 2*d - 38. Suppose -8 - 4 = -2*c. Let j be (14\/3)\/(c\/(-9)). Do j and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581 (base 11) to base 4.\nAnswer: 22312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/12 + 41*b**2\/2 - 897*b. Let c(v) = v**2. What is c(u(j))?\nAnswer: j**4 + 82*j**2 + 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 205079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97086, -97096, -97106, -97116?\nAnswer: -97126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*3)**2 - sqrt(6)\/sqrt(3)*-4) + (sqrt(18) + 3*sqrt(36)\/sqrt(2) - sqrt(54)\/sqrt(3)*3).\nAnswer: 7*sqrt(2) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13733 + 13273. What is the second biggest value in -3, k, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9528 = -175*s - 222*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -45. Suppose z*k + 9 = -9. Let s = k - -19\/2. Which is the nearest to -6? (a) -0.3 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 12, -0.5 in decreasing order.\nAnswer: 12, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 355640?\nAnswer: 711280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13248553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2358 - 1946. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2. Let z be s(-2). Solve -5*y + 3*m - 20 = 0, y + 3*y + z = 5*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 75*i - 56. Determine f(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9564\/(-1104) + (-3)\/(-4) - (-6)\/(-69). Let k(q) be the third derivative of q**5\/12 + 13*q**4\/24 + 3*q**3\/2 + q**2. What is the hundreds digit of k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*y - 18655 + 18511 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10171210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 885 - -914. Suppose 751 + r = 5*o. Round o to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2 - 32*o**2 + 95*o**3 + 3*o - 92*o**3 + 28*o**2. Let h(v) = -3*v**3 + 3*v**2 - 3*v + 2. Give 4*h(f) + 3*j(f).\nAnswer: -3*f**3 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(-1 + 1 + 1 + (-2 - 2 + 3)*(-2 + 3 + 1) - 1 + 5 - 2).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -60, -147, -270?\n\"Answer: -18*z**2 + 3*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*o - 4*u, u = 8*o - 4*o - 36. What is the second derivative of 6 + o*x**3 - 10 + 0*x - 50*x**3 + 3*x + 2*x**3 wrt x?\nAnswer: -228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y**2 - 7*y**2 + 14*y**2 + (-3*y + 2 - 2)*(6*y - 3*y - y))*(-3*y - 3 + 3) to p*y**2 + l*y + c + x*y**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {f: 5, j: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j**2 + 4*j - 2. Let g be u(3). Let s = -902\/5 + g. Factor 1\/5 - s*m**2 - 2\/5*m.\nAnswer: -(m + 1)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93.886151 * 5\nAnswer: 469.430755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 - -647. Let q = 57 + -38. Calculate the remainder when l is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = -138. Let o = -22 + r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 316*a**4 - 3684*a**3 + 10944*a**2 = 0. Calculate a.\nAnswer: 0, 6, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10666 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.164*23.016\nAnswer: -3.774624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 + 94 = 3*d, 40 = 2*x - 4*d. Let j(y) = -2*y**3 + 9*y**2 + 80*y - 73. Let i be j(-5). Solve 0 = 5*w + x, -3*k = i*w - 1 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b\/(b*b\/((b*b**1)\/b*b)))\/b)\/b))**33\/(b**1\/b**3))\/((b\/b**(1\/3))**6)**(-16) assuming b is positive.\nAnswer: b**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28907850 and 163811150?\nAnswer: 491433450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17038087?\nAnswer: 11, 1548917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219 and -32456.\nAnswer: -7107864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.078\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19108413 by 18789.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 - 2*t + 12. Let r be i(9). Let p be ((-64)\/20)\/(r\/15). Suppose -3 = f - p. Which is the closest to -3? (a) 3 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5606553 + 2899.\nAnswer: 5609452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.16 - 6.24. Let h = v + 4. Let k = -0.080006 - h. What is k rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 - 2)\/(-3). Let f = q - -3. Suppose 0 = -2*b - 2*w + 210, f*w + 199 = 5*b - 347. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13890.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 56.4.\nAnswer: 1466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 780 = -y, -3*d - d + 3*y + 605 = 0. What is the least common multiple of d and 4\/102 - 1661\/(-561)?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -197602, -197407, -197212, -197017?\n\"Answer: 195*k - 197797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -t + 13. Suppose 8*g - 2*g = 0. Suppose g = -5*o - 4 + 14. Calculate the least common multiple of o and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.065 and 280067.5.\nAnswer: 280067.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/3479?\nAnswer: -5\/3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/9 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2290 and 56.\nAnswer: 64120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -116*s + 64*s - 2 + 2 + 69*s. Let f(t) = -16*t. What is f(b(v))?\nAnswer: -272*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*x**4 - 23*x**4 + 55*x**4 + (2*x**2 + 5*x**2 - 6*x**2)*(-3 + 0 + 0)*(-x**2 - x**2 + 0*x**2).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*t**2 + 55*t**3 + 1194*t - 55 - 54*t**3 - 1196*t to x*t**3 + n + r*t**2 + l*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0.2. Let b = 18629\/5 - 3741. Let w = -203\/15 - b. What is the closest to 0.1 in z, w, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*148\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 2*c + 5349 - 5408 as t + f*c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 13 = -i, 5*i - 2*h = -9 - 12. What is the units digit of 10\/((-2 - i)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*r + 4*w, 3*r + 12*w - 8*w = 20. Which is the fourth biggest value? (a) -0.1 (b) r (c) -0.054 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48842*o**4 + 29777.\nAnswer: -195368*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635*b + 40310 = -140327 - 96858. Suppose 776 = -3*u + 5*q, 5*q + 1032 = -4*u - 26. Let s = u + b. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17377000 rounded to the nearest 100000?\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 + 71*v - 8. Let q(z) = 11*z - 5. Calculate q(i(x)).\nAnswer: 132*x**2 + 781*x - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26414 - 30695 - 14*h**3 + 4281.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/30 + 8\/(-40) - -6. Let o(c) = 4*c**2 - 5*c - 19. Give o(w).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -608*g**3 + 23*g**2\/3 = 0?\nAnswer: 0, 23\/1824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10266, -42846, -97136, -173130, -270822, -390206, -531276?\n\"Answer: x**3 - 10861*x**2 - 4*x + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005752914 to four dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-3)*684\/(-97812).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106 and -1.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -12 in decreasing order.\nAnswer: 0, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s - 6. Let d be i(2). What is the third derivative of -30*v**6 + 26*v**2 + 8*v**5 - 8*v**5 + d*v**2 wrt v?\nAnswer: -3600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 29, 0, 2, -2\/13, 0.1 in ascending order.\nAnswer: -2\/13, -1\/8, 0, 0.1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:50 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1960) - (sqrt(1960) + 2*sqrt(1960))))\/(-3*sqrt(32)\/sqrt(4) - (sqrt(72)\/(sqrt(18)\/sqrt(2)) + sqrt(8))))**2.\nAnswer: 7056\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/3 + 2*l**2 - 2*l. Let x be j(4). Let y be 14\/(-10) + (-4)\/(-10). Put x, y, 0 in increasing order.\nAnswer: x, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*i + 29 = 66, 0 = -5*c - 4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146718?\nAnswer: 2, 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/6 - 181*p**4\/3 - 15*p**3\/2 + 8215*p**2\/3 - 25388*p\/3 + 5792 = 0.\nAnswer: -8, 1, 3, 4, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 + -0.679946. What is s rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*m**2 - 1464*m**2 + 696*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/216783 and 52\/831?\nAnswer: 60048891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5348.249l in millilitres?\nAnswer: 5348249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0932 + -0.0932. What is the second smallest value in -5.5, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-28) + 5\/2. Is (9\/2)\/z*(-1 + 69) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -5, 2\/15, 0 in descending order.\nAnswer: 104, 2\/15, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50094\/46 - ((-10)\/(-2) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 12224*j - 37356544 = 0. What is j?\nAnswer: 6112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*16\/(-14)*(-61)\/122?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 69.028 * -567\nAnswer: -39138.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -2*f**3 - 5*f**2\/2 + 6*f. List the prime factors of c(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18 and -123\/2119754.\nAnswer: 19077786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + -2)**2 + 5.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:32 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4015 + 345*z + 4015.\nAnswer: 345*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 458.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -125*s - 25. Let z(p) = 69*p + 13. Let u(a) = -6*f(a) - 11*z(a). What is u(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8*i + 11*i = 1235, 0 = 4*i. Let m = 613 - d. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1536) + sqrt(1536) + sqrt(24))*-6)\/((-4*(sqrt(16)*-2 + sqrt(16)))\/sqrt(2)) + -4.\nAnswer: -51*sqrt(3)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-448) + (-1846)\/(-56). Which is the nearest to 2? (a) -0.3 (b) 0.3 (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -383*a**2. Let n(s) = 12*s - 14*s + 3*s. What is n(w(m))?\nAnswer: -383*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141888240 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1019364 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 8) to base 15.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -304?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.021 (b) 1\/5 (c) 0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -291*l**2 - 18. Let j(z) = 83*z**2 + 5. Calculate -5*c(y) - 18*j(y).\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmhhmhhhhhhh. Give prob of sequence mhhm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 664*k**2\/9 - 18590*k\/3 + 12100.\nAnswer: -2*(k - 165)**2*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 - 4*n + 45. Suppose 31*k = 14*k - 102. Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9274.5 and -5095.\nAnswer: 47253577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*m - 0*p - 2165, -2*p + 1625 = 3*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:44 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128173 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02338 plus 368.71?\nAnswer: 368.68662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 68, -1, -106, -253, -448, -697?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2 - 4*g**2 + 0*g**3 + 2*g**3 - 2*g + 6 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27043 + -27047.7375. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6125964*d + 6387486?\nAnswer: 6125964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - -109.8. Let f = w - 110. Let z = 42 - 169\/4. What is the nearest to z in f, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6138 and 1693478.0738.\nAnswer: 1687340.0738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - 1.3. Let v = 0.06 - g. Let j = 1001\/9 + -111. Put v, 1\/3, j in ascending order.\nAnswer: j, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-18 - -14))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.029077 to 2 decimal places.\nAnswer: -38.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*b + 3502 = -1168 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6802720 and 288.\nAnswer: 61224480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -377 or -372?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -349, -175, 429, 1607, 3503, 6261, 10025?\n\"Answer: 24*i**3 - i**2 - 277*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 13*u - 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*z + 62, 2*z = 7*z - 4*c - 152. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*v + 74*v + 5. Sort 5, -2, -3, v in decreasing order.\nAnswer: 5, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -15907.6\nAnswer: -668119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r + 7 + 2*r**2 - 4*r**2 - r**2 + 4*r**2. Let b be h(7). Suppose -p = 6*p - b. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2919662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/129, 11512, -0.058?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8419.00706 minus 2.413?\nAnswer: -8421.42006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**6\/360 + a**5\/4 + 18*a**2 + a + 76. Let t(c) be the second derivative of l(c). Factor t(s).\nAnswer: -s**2*(s - 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (sqrt(99) + 1*(0 + sqrt(99)) + sqrt(99))**2.\nAnswer: -891 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19*(0 - 7)\/1. Suppose -c = 4*m - 697. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/q**18 assuming q is positive.\nAnswer: q**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 415*u + 5. Let v(i) = 2*i + 8. Let n be v(-3). Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 2 + (sqrt(1008)*-1 + 1)**2 + 3)*-2.\nAnswer: -48*sqrt(7) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 - 1. Let n be ((-44)\/10)\/((-12)\/30). Let s be -4 + n*1\/1. Let d(a) = 66*a + s - 130*a + 6*a**3 + 66*a + 5*a**2. Determine d(f) + 5*u(f).\nAnswer: f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + (76 - (-18)\/(-9)). Let w(g) = -z + 71 + 3*g + 3*g. Let r be (7\/3)\/(1\/(-3)). Let t(o) = 5*o - 2. Give r*t(d) + 6*w(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - -4*214\/32. Find the second derivative of 25 + 31 + 34*p**2 + a - 2*p - 24 wrt p.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3225\/60)\/((-34)\/(-8) - 2). Is b equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3443\/13 + -265. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1183*g + 14251*g**2 + 1182*g - 4364*g**2 to the form c*g**2 + k*g + i and give c.\nAnswer: 9887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1329 (base 15) to base 10.\nAnswer: -4089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let g be (8\/3 - 3)\/((-2)\/4). What is the closest to -3 in m, -0.2, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 39402048*d + 388130346648576.\nAnswer: (d + 19701024)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 11) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734207624 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -1 - (15 + (-25 - (9 - 21)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -875885\/52 + 16842. Find the common denominator of x and 16\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 54 - 74 = 0. Solve -d*j - 9 = -34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496\/(-32640) + 42\/238?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 = 19*w + 31*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - 492?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1470 - -1777. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 38382.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2778477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 12*v + 3*g - 24, 13 = 3*v + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q - 5. Let i(s) = -5*s - 2. Let c(g) = 3*a(g) - 7*i(g). Determine c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 - 152. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:49 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 993.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:18 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 743. Calculate t(10).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -238*p - 37 + 3*p**2 + 11\/3*p**3. Differentiate y(u) wrt u.\nAnswer: 22*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4 - y + 6)*(0*y + 3*y - y)*(-3*y - 3*y + 4*y).\nAnswer: -4*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 549 + -537. Let c = 301 - r. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/(-3105))\/((-6)\/(-23))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = -p. Let c be 19 - 0*1\/p. Suppose s - 8 = -3*y + 5, y + 5*s + c = 0. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 16. Suppose q - 2 + v = 3*g, 2*q - 2 = 0. Solve g*x = 8 + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*h - 47264 = 68112, -3*u = -2*h - 86507. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 0, 3*i - 2872 = 3*v - 2824 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/679404 and -121\/61764.\nAnswer: 679404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17 + 33 = 0. Let f = 24 + d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + -1*sqrt(288)).\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -566.8 times 0.5\nAnswer: -283.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.29, -5, -0.1, 7\/2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475 + -493. Is j smaller than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56640 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y**2 + y**2 + y**2)*(-23 + 13 - 16) - 35*y**2 - 9*y**2 + 20*y**2 to the form g*y**2 + m*y + v and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-53)\/5724)\/(1\/4))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 95. Let b be p(19). Solve 0 = 4*x - 8, 5*n = 2*x - b*x + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281845?\nAnswer: 5, 56369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 26.9. Let k = -27 - z. Let x = k + -0.6. Round x to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13279 is divided by 230?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 131\/8. Put 1\/3, h, -0.5 in increasing order.\nAnswer: -0.5, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19712*r + 1343*r - 14670*r.\nAnswer: -33039*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - q = -0*q - 51, -b + q = -14. Solve 3*o - j + 5*j = b, 3*o - 4*j = 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/14 - 1)*-8. Let u = 1 - 0.7. Let x = -5 - -5. What is the nearest to x in u, -1, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z**2. Suppose 7*f + 732 = 8*f. Let n be ((-1)\/3)\/((-4)\/f). Let b(j) = 61*j + 0*j**2 - j**2 - n*j. Give q(b(c)).\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(208) + sqrt(13)*-1*5)**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j - 3*s, -s + 4 + 5 = 2*j. Let t = -257 + 209. Let o be (32\/t - (0 + -1))\/(-1). Which is the third biggest value? (a) 1 (b) j (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - -98. Suppose -4*q - n = -a, 2*a + 2*q = 105 + 141. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(96) + (sqrt(96)*-1*6 + sqrt(96) - sqrt(96)) - sqrt(96)) + sqrt(96))\/sqrt(12))\/(5*sqrt(100)*-1) + 4)**2.\nAnswer: 8*sqrt(2)\/5 + 402\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 11:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 303 times -12852\nAnswer: -3894156","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 7 + -27 + 16 - -30.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 296674989 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + ((-12 - -19) + -7 + 12 - (0 + 22))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212032333 (base 5) in base 8?\nAnswer: 3317653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -116 - 15*i - 17*i - 13. Let z be v(-4). Is z bigger than 5.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/7, -0.3, 38, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) 5 (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -176412 take away 5?\nAnswer: -176417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.16 + 8.19.\nAnswer: 6.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.19, 5, 2\/23, -0.5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 1793*o**7\/210 + 17*o**4\/4 + 2120*o**2. What is the second derivative of x(q) wrt q?\nAnswer: 21516*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - r**2 - 3 + (-5*r + 10*r + 2*r)*(-2*r + 5*r - r).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, -4, 0.5, -10.575.\nAnswer: -10.575, -5, -4, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/4 - (-242)\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15511054329 - 276*a - 15511054329.\nAnswer: -276*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*5\/(-60) + (1144\/32)\/(-11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 + 14*z**2 - 16*z**2.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14034023 (base 5) in base 2?\nAnswer: 100010111010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 - 187. What is the hundreds digit of (-6083)\/(-55) - m\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 1) + 65 - (-1 + 40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -63 (b) 0.4 (c) 9 (d) 2 (e) 1\/22 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 6 - 19)*(9 - 8 - 7*w + 3*w)*(-5*w**2 + 0*w**2 + 3*w**2).\nAnswer: 376*w**3 - 94*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/(-6) - (-45 + 48)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717416.7 decades to millennia.\nAnswer: 7174.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162095184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731291*n + 559792*n + 588466*n - 483177*n.\nAnswer: 1396372*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 2*y**2 + 5*y**2 - 19*y**4 + 68 to the form n*y**4 + q + m*y**2 + l*y + x*y**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -4627.\nAnswer: -448819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 81 + 75 - 159 - 6*a**4 + 10*a**2 - 19*a**2 - 3*a**3 in the form o + z*a**3 + q*a + u*a**4 + i*a**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/60 + r**5\/60 - r**4\/24 - r**3\/3 + 2*r**2. What is the smallest common multiple of k(2) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by -132\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -563 + 563. Let z be 9\/(-3)*2\/21. What is the nearest to -2\/7 in j, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 832755*i*q*w**3*z**2 - 9*i*q*w*z + 18082*i*q*z + 323*q*w**3 - 3*q*w**2 + 5*q*z**2 + q wrt w.\nAnswer: 4996530*i*q*z**2 + 1938*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1293560 by 323390.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*d**3 - 1140*d**3 + 402*d**3 + 404*d**3 + 396*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(128) + 5) - ((sqrt(220)\/(sqrt(11)*1))\/sqrt(10)*-4)**2.\nAnswer: -27 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -8*s - 25*s. What is the hundreds digit of 15\/(-9) + 11500\/s + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1365, -2723, -4081?\nAnswer: -5439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723164 to the power of 1\/2, to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.669 * -5.\nAnswer: 3.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16486, 130782, 441002, 1045108, 2041062, 3526826?\n\"Answer: 16327*o**3 + 7*o + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.18 - -2.1946. What is t rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**(2\/3))\/x*x))**(-42)*((x\/(x*x*x**5))\/x)\/(x*x*x**(-2\/3)\/x*x*x))**(-1\/20) assuming x is positive.\nAnswer: x**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 24653*u + 1 + 3*u**3 - 24655*u + 3*u**4 + 3*u**2 as i*u**4 + g + c*u**2 + n*u + s*u**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h + 3*h**2 + 7 - 4 - 3. Suppose k - 6*k - 35 = 0. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-2848)*-22 + ((-4563)\/108 - -43).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000157434226 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 15*g - 18. Let q be b(-14). Let y(m) = m**2 + 5*m - 2. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 3561, 3570, 3581?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + 112\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*r + 156*r - 245 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glnv when four letters picked without replacement from {n: 1, m: 4, l: 1, g: 1, v: 6}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**3 + 8*z**2 + 2*z + 20. Let x be j(10). Let t be 13*(x\/(-60) - 4\/(-6)). What is t rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:27 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (243 - 224).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 0. Suppose -22*g = -14*g + 24. Let h be (-2 - -1) + g - -8. Sort z, h, -2 in descending order.\nAnswer: h, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-23)\/10 - (-42 + (-1296)\/(-32)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 divided by -3?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 216\/(-96)*(-276 + 0\/4). Calculate the highest common factor of t and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0*o = -3*o - 5, -3*o = 5*q + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*z + 89 + 111 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28958876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5066 = -3*d - 4*h, -5*h = 4*d + 6770. Round d to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.4 and 1.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/60 - r**4\/6 - 2*r**3\/3 + r**2 - 18*r. Calculate p(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5704 - 5?\nAnswer: -5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*i - 227*i = 1100. What is the remainder when i is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2 - 44\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/(7\/35). Let g(r) = -6*r**2 - 5*r + r**3 + 7 + 0*r**3 - 2*r**3 - 2*r**2. Let c be g(-7). Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302652 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: Sort -6, -78, -5, 2.\nAnswer: -78, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/5 and 41\/275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23392 (base 15) to base 11\nAnswer: -77319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 2*g**2 + 2. Suppose 2*s + 0*s = 20. Let v = -7 + s. Suppose d = 4*o - 5*o + v, d = -4*o + 3. Determine c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 4. Suppose 0 = -2*n + 1 + 71. Let b = n - 34. Let x(g) = -1. Calculate b*m(v) + 9*x(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3630, -58 in decreasing order.\nAnswer: 3630, 1, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*l + 14, 10 = 5*l - 0*w + 5*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 16 + -9 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 148*y**2 - 318*y + 3745. What is a(146)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-2\/15)\/k)\/k)\/k)**(-1\/12))**13 assuming k is positive.\nAnswer: k**(611\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let v(h) be the first derivative of h**6\/120 + 10*h**3\/3 - 14. Let z(b) be the third derivative of v(b). Determine a(z(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6))**(-18) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - 224\/(-20))\/((-3)\/15). Let s = 0 + 0. Sort n, s, 1, -5 in decreasing order.\nAnswer: n, 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08175961 rounded to three dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969630781?\nAnswer: 43, 257, 178231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-4)\/2). Let o(b) be the first derivative of 3\/2*b**2 + 0*b + 2 - y*b**4 + 0*b**3. Find the second derivative of o(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, x: 10, s: 2}. What is prob of sequence xaa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) -7 (c) -33\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.94 - -0.06. Let n = -23\/2 + 11. Sort n, d, -5 in increasing order.\nAnswer: -5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:27 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let c(w) = 9*w**2 - 6 - 8*w**2 + 0 - 3*w + 2. Determine c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b - 2*b - 3*b - 1 + 0*b**2. Let i be z(6). Is i at least as big as 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73317 + -51645. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 59. Let w(y) = -y + 6. Let i be w(p). Let n(x) = 2*x - 12. Give n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 129979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 49. Let p be 8\/(-3)*(8\/16 - -1). Which is the closest to n? (a) -1 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52118989*x**3 - 2*x - 8189135?\nAnswer: 312713934*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223139172.\nAnswer: 2, 3, 18594931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11 - 5 - l + 3*l - 5 + 10. What is a(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -78\/22699?\nAnswer: -78\/22699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - 2*z**3 - 264 + 264)*(439 + 378 - 93) to l*z**2 + j*z + f + p*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 77713*x + 1088161. What is i(-14)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 7*s = -1, -4*b + 7*s = 3*s + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 - 9*l + 18. Calculate q(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 + -10 - (-5 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 0 - 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -559\/7 + 80. Suppose -2*u + 20 = 4*b, -5 + 30 = 5*b + 2*u. Suppose -4*w = -5*w + b. Put w, 0, j in descending order.\nAnswer: w, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w**2 + 1281*w + 89. Does 19 divide y(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -28. Is 10 a factor of 1620\/24 + f\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6 + 7 + 134*q.\nAnswer: 134*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 0*m)*(-20*m**2 + 0 + 0) + (9 - 9 - m)*(-4 + 3 - 1)*(-3*m**2 - m**2 + 3*m**2).\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -3087?\nAnswer: 1234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 3*d**2 - d + 3. Let y be ((-1)\/6)\/(210\/36 + -6). Let u(g) be the first derivative of g**3\/3 - g**2\/2 + g - 1. Give y*r(z) - 3*u(z).\nAnswer: z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 575*q + 244582 - 209507 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 681?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - 7*h**2 - 5*h. Does 7 divide s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 49 = 60*v - 58*v, 2*d - 6 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103 - 9*u + 50 + 52 wrt u.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.099? (a) -5 (b) 0.6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 - 386*b**2 - 671*b**2.\nAnswer: -939*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 135*g**3 + 8*g**2 - 2*g - 4. Let q(l) = 269*l**3 + 18*l**2 - 6*l - 9. Give -9*k(i) + 4*q(i).\nAnswer: -139*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 308*c**5 + 473128*c**4 - 122*c**2 - 6*c + 27034.\nAnswer: 18480*c**2 + 11355072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 0 = -28. Suppose 3 + b = 5*k + 4*c, 4*k - 4*c = 20. What are the prime factors of (-1 + 3)\/(k\/66)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*z**2 + 5*z**5 - 40*z**4 + 314*z**2 + 29*z**3 - 167*z**2 + 36*z**3 = 0. What is z?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1770)\/2655*(-126)\/(-4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 426734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/9427 or -356?\nAnswer: -34\/9427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - -6. Let w be ((-3)\/v)\/((-1)\/(-2)). Let u = 4.6 + -5. What is the second smallest value in w, u, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37029313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590.9409 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 34*q**3 + 38*q**2 + 34*q - 36.\nAnswer: -2*(q - 1)**2*(q + 1)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119428958*g + 119428958*g - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -34001.\nAnswer: -9\/34001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:30 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-2))\/(54\/(-8)))\/((-69)\/621)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - -6 - (163 - 163)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 22428931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 7*v - 2*v)*(-88 + 88 - 398*v**2)*(5*v - 3*v - v + (0*v + 0*v + v)*(2 - 3 - 1) + 10 + 3*v - 10 + 0*v + 0*v - v - v + 3*v - v).\nAnswer: -1592*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -5) + 95 + -30?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/144)\/((-2)\/16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9350 and 48246?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -12. What is the biggest value in -5.1, -0.3, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*z + 15, 5*z = g - 0*z - 19. Does 4 divide 2\/g + 6 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + (-117)\/(-9). Solve 9*t - g*t = 2*z + 18, -6 = 3*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 0 + 0 - c**4 - 2*c**3 + 5*c**2 - 1. Let u(x) = 5*x**4 + 11*x**3 - 21*x**2 + 5. Let l(w) = 33*k(w) + 6*u(w). Factor l(b).\nAnswer: -3*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/11 (c) 83 (d) 2 (e) 12613\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 + -25?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 2970 - 1170 = -262*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 3. Let n(f) = -6*f + 5. Let i be (1\/1 + 5)\/((-4)\/(-6)). Suppose -p - i = -4. Determine p*t(a) + 3*n(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*m**6 + 4*m**2 + 1 + 4*m**6 - 17*m**6 + 0*m**2 wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-12)\/(-183)))\/((-320)\/(-640))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -104\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50568580 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: What is next in 49554, 99151, 148748?\nAnswer: 198345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 100, -5, -232?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004256541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j = 35*j + 195 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 194*t**2 - 4 + 35*t**2.\nAnswer: 229*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 8*d + 15*d**4 - 11*d - 4 + 5*d**2 - 4 + 2*d**3 + 2*d to k*d**3 + o*d + x*d**4 + q + i*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**2 - 9*m + 4*m + 11*m**2 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 + 5*g + 6. Let y be r(-4). Let i(f) = -3*f + 8 + f**3 - 3*f**y + 3 - 14. What is the units digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0374 and -0.10734.\nAnswer: -0.14474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 863496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-5 + 6) + 1. Solve -3*n + 5*n = -u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4\/17)\/n)\/(n\/(n\/n**(-1\/2)*n)))**38)**48 assuming n is positive.\nAnswer: n**(8208\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -29*r**3 - 6*r**2 + 14*r. Let z(i) = -2*i**3 - 4*i**3 + 2*i**2 + 6*i**3 - 5*i + 10*i**3. Let t = -445 + 439. Calculate t*h(d) - 17*z(d).\nAnswer: 4*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382239.3 millilitres to litres.\nAnswer: 382.2393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/15, 0.1, -6, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3065 (b) 5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786195 is divided by 138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (4 - (5 - 6))) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(468) - sqrt(468))**2 + 4 - ((sqrt(468) + 0)**2 + 2)) + 4)*-2*-4*2.\nAnswer: -300000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89981958 and 1388.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1758777*b**4*o + 7*b**3*o - 22*o + 31978 wrt b?\nAnswer: 7035108*b**3*o + 21*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 16. Solve -4*o + c*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/((27\/6)\/3). Let l(z) = 2*z - 7. Let t(w) = 3*w + 6. Let m(o) = -10*o - 18. Let a = 63 + -47. Let f(s) = a*t(s) + 5*m(s). Calculate q*f(k) + 5*l(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 3*l**3 - 3*l**3)*(5 + 1 - 4) + 4*l**4 + 2*l**4 + l**4.\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*y + 0*y = -14, -2*i = -3*y - 16. Let f be ((-12)\/15)\/((-1)\/i). Suppose -40 = t + f*t. Are -7 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77507303*-0.6\nAnswer: -46504381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 3*a - 1. Let p be k(-3). Suppose 4*u = 6 + p. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*n**3*y + 126*n**3 + 4*n**2*y**4 with respect to y.\nAnswer: -98*n**3 + 16*n**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/(-25))\/((-4)\/(-50)). Suppose 4*j - a = -j. Suppose -4*i + 960 = -4*r, j*i - 7*r - 730 = -2*r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*f + 41992, -5*d + 4*f = -4*d + 42008. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6245154, 1 in decreasing order.\nAnswer: 6245154, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 3. Suppose -5 = -104*w + 103*w. Determine p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/37114 and 135\/482482.\nAnswer: 482482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26386?\nAnswer: 2, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*y + 3297 + 13503 = 0 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 0.36?\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13888, 27780, 41672, 55564?\n\"Answer: 13892*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.40144 millilitres in litres?\nAnswer: 0.09040144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8916, -35532, -79890, -142002, -221880?\nAnswer: -319536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 9) to base 6\nAnswer: -3445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (1 + sqrt(2))**2)*5 + -1.\nAnswer: 40*sqrt(2) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118568*f**4 + 240858*f.\nAnswer: -1422816*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 4, w: 1}. What is prob of sequence xxxr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**3 + 29*l + 33*l + 1 - 62*l.\nAnswer: 34*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672068 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3187 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, -217397, -18 in increasing order.\nAnswer: -217397, -18, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {n: 1, o: 2, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-56))\/(-3) + 24\/84. Which is the nearest to i? (a) -2 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11863968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - b1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -2.19994. Round i to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d + 4*d**2 + 7*d + 6*d**4 + 0*d**4 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9079 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -129414 divided by 6?\nAnswer: -21569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*j - 234*j - 91 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 1. Suppose m - 1 - i = 0. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 19*i**2 - i - 1. Let g be q(19). Let n = g - -22. Let b be (-2 + n)\/(5 - 7). Solve b*v - 3 = -3*y - 3*v, -4*v - 5 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**2 - 27*o**2 + 11*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 8647, -2017.\nAnswer: -2017, -5, 4, 8647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6734*c**3 + 14549*c**2 wrt c?\nAnswer: -40404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 4. Let g(r) = 12972*r. Calculate m(g(y)).\nAnswer: 25944*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + -1 + 1 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 52*r**2 - 507*r + 9. Calculate s(39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 13*q = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60252843 divided by 60252843.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13178.3 + -13178. Which is the third smallest value? (a) -3\/5 (b) -7 (c) -16 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 3, 1.\nAnswer: 1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 8*l**2 - 140*l = 0. What is l?\nAnswer: -7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(117))**2 + 3)*1.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1077976, 1077918, 1077784, 1077538, 1077144, 1076566?\nAnswer: 1075768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from wdddddwddwdwdw?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - v**2 + 2*v**2)*((7*v**3 - 3*v**3 - 3*v**3)*(-1 + 0 + 2) + 3 - 3 - 7*v**3 + 47*v**3 - 22*v**3 - 24*v**3).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14669*f**4*l - f**4 - 136*f**3*l**2 - f**2 - 2900*f + 2253*l**2 wrt f?\nAnswer: 352056*f*l - 24*f - 816*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/840)\/(1 + (-4)\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13231 (base 4) to base 6.\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 695, 4664, 11279, 20546, 32471, 47060, 64319?\nAnswer: 84254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58834*u - 29525*u - 29425*u - 10)*(2*u**4 + 0*u**2 + 0*u**2).\nAnswer: -232*u**5 - 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/10)\/2*-2)\/((-80)\/100).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -18. Let d = 8.16 + -8. Let f = d + -5.16. Which is the nearest to 1\/2? (a) f (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178.1 - 178. Which is the nearest to i? (a) 0 (b) -1 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264905293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 10*u**2 - 106973*u**3 - 300519*u**3.\nAnswer: -407492*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g - 26. Calculate the remainder when 158 is divided by o(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaaa when four letters picked without replacement from {w: 3, a: 3, k: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*s - 782, -2*u + u - 2*s = 203. Let d = u - -359. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8197 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -36, -72, -144, -264, -444, -696, -1032?\n\"Answer: -2*c**3 + 2*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 6)*(-86 + 2). What is the units digit of ((-3)\/(45\/z))\/(1\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-405)\/(-6) + 2\/4. Let m = -44 + i. Suppose -5*x - 200 = -5*q, -3*q + 5*x = -112 - 0. Calculate the remainder when q is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 6. Let t(r) = r + 2. Let u(b) = 3*t(b) - x(b). Let c(i) = 328*i. Determine u(c(f)).\nAnswer: -656*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = 16. Let h = 16 + -32. Let w = d - h. What is the highest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552*u + 2763*u - 5752 - 10225 + 2895 = 0 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 12 + 3)*(7*b + 2*b - 4*b)*(-4 + 0 + 3) - b + b - 3*b as y + a*b and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1610295 millilitres?\nAnswer: 0.0001610295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241888 is divided by 241853?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Let g be (-2)\/(1*(-3 + q)). Factor -2 - 3*y**2 + 3*y**3 + g + 6*y**2.\nAnswer: 3*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 181. Let f = 163.826598 - 108.826697. Let i = f + k. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -6.9.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -19 + 44 - -17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/16 > -14174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (31 + -47 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7286701 - 66?\nAnswer: -7286767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -156. Let g(q) = q**2 + 5*q - 157. Let n be g(10). Let b be (-2)\/n + (-1521)\/w. Solve -5*x + b = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.03 + 6. Let g = 540 - 540.02984. Let v = k - g. What is v rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 20448365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/3 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:57 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 7*o + 3*o + o - o + 5*o + (-3*o + o + 4*o)*(1 - 1 + 2) + 4*o - 3*o + 0*o + 127 - 127 + 13*o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 835301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1781 + -1781.2. Let r = -37 + 28. Let z = r + 46\/5. Put -2, z, 1, x in descending order.\nAnswer: 1, z, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/2)\/(5 + -6). Let i = 16 - b. Suppose 2*q - 2*o - 36 = 0, -2*q + o - i = -3*q. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 755183490 by -174.\nAnswer: -4340135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119\/56)\/17 - (-11)\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19102 - -19172. Which is the third smallest value? (a) n (b) -4 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366 - 1831*i - 1836*i + 3662*i.\nAnswer: -5*i - 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 403192*q**4 - 56025307*q**3\/3 + 126290648*q**2\/3 - 95120684*q\/3 + 23645776\/3 = 0. What is q?\nAnswer: 2\/3, 1, 44, 134351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(117\/4)\/(42\/16). Let x = q - -118. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31202 + 4?\nAnswer: -31143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/460*12*95\/342?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -3)*12\/(-16). Let s(z) = 2*z + 1. Let x(o) = -2*o - 2. Give h*x(n) - 4*s(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v - 61 + 52 = 0, v - 7 = -5*g. Which is greater: -2\/2611 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14089108.53 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -148*w**3 - 5*w**2 - 33*w + 28. Does 12 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 (base 10) in base 11?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0 + 0*m + 8\/21*m**4 + 4*m**2 + 2\/105*m**6 + 4\/35*m**5 + 1\/735*m**7 + 16\/21*m**3. Factor w(i).\nAnswer: 2*(i + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - (-2 + sqrt(99) + sqrt(99))) + sqrt(11)*3*6 - (sqrt(110)\/(-3*sqrt(5)))\/sqrt(32).\nAnswer: 6 + 157*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bea8 (base 16) to base 14.\nAnswer: -13b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10371532*q**2. Let s(z) = -13*z. Give s(n(w)).\nAnswer: 134829916*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1976217 and 83\/19762170?\nAnswer: 19762170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = 8*i. Let a = -120 + i. Let b = -42 - a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8750 and 1750.\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1*sqrt(539))**2*-5 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 4. Let g = u + 11.08. Let c = g + -0.58. What is the third smallest value in -0.2, -1\/3, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/3017 and 10\/3017.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imm when three letters picked without replacement from mmimmmmmmmimmimmim.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 260 - 62 = -3*z, 4*q - 424 = -4*z. Suppose -136 = 3*b - 946. What is the highest common factor of b and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*m - 12, m - 3*m = 19*j + 199 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 4*d + 78, -99 = -18*v + 3*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 41*o + 41*o + (2*o - 5*o + 0*o)*(-o + 4*o - o)*(0 + 1 - 4) to the form m*o + r*o**2 + i and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 53*h**4 - 121*h**3 - 593*h**2 + 696*h + 1980 = 0. Calculate h.\nAnswer: -55, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpll when four letters picked without replacement from {p: 3, l: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1392, 0.4, 3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3. Let b = -0.288 + -0.012. What is the second biggest value in n, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and (-18)\/(-153) - (-1934)\/(-102)*-3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 3b?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 130 - 154 = 0. What is the nearest to -104 in 10, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-2))\/(s\/s**0))\/(s**(-1\/4)\/s*s**6))**(-8\/13))**(-1) assuming s is positive.\nAnswer: s**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -135*m + 64. Let p be y(17). Let z = p - -35671\/16. What is the common denominator of 77\/4 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**5 + 76*t**4 + 940*t**3 + 1940*t**2 - 936*t - 2016 = 0.\nAnswer: -6, -3, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 177. Let y = s + 2. What is the greatest common factor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3*t**5\/20 + t**4\/6 + t**2\/2 - 48*t. What is k(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412785 is divided by 29450?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20474693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, b: 8, k: 2, y: 2}. Give prob of sequence hbb.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -h, 4*a - 5*h + 12 = 43. Solve -12 + a = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 2, i: 1, g: 5, q: 7}. What is prob of sequence ix?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 39*j - 219. What is w(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -320 + 374. What is the remainder when l is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2) + 2)\/((-1)\/2). What is the second smallest value in -0.2, -0.4, t, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1)*(-2)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s + 4*s - 1 + 8*s + (s + 3*s - 2*s)*(1 + 3 - 6)*(-1 + 4 - 2) in the form b + m*s and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**7\/42 + g**4\/8 - 2*g**2 + 3. Let v(w) be the second derivative of r(w). Find the second derivative of v(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3933, 3931, 3931, 3933, 3937, 3943, 3951?\nAnswer: 3961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frcfxrfohhhrfh. What is prob of sequence cof?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*k + 4 = 29, -10 = 4*p - 2*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:44 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -5, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.86318 litres?\nAnswer: 15863.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295293.\nAnswer: 7, 11, 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91214?\nAnswer: 2, 59, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(114)*-1 - sqrt(114))\/(sqrt(54)*2)*4 + -5 + sqrt(76)*1 + -5 + 1 + 1 + sqrt(76).\nAnswer: -8 + 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1262*l**2 + 4*l - 8. Let f(g) = 627*g**2 - 2*g + 4. Give 9*f(b) + 5*t(b).\nAnswer: -667*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(2 + sqrt(13)*-1 + (2*sqrt(117) + sqrt(117) - sqrt(13))) + (sqrt(637)*2 - (2 + sqrt(13) + 2)))**2.\nAnswer: 136*sqrt(13) + 15032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + (22 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-7) + 0)*7. Let d(f) = -2*f + 5*f**2 - 1 - h*f + 9*f. Let o be d(-2). Calculate the highest common factor of o and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 8*y - 8*y)*(-23*y**2 - 18*y**2 + 86*y**2).\nAnswer: -630*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 44.959. Let a = x + 3.959. What is the smallest value in -0.4, -3, a, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2. Let x(t) = 39*t - 120422. Determine x(j(v)).\nAnswer: -78*v**2 - 120422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(20) + sqrt(180)*-1)) + sqrt(20))\/((sqrt(48)\/sqrt(3))\/sqrt(4)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 355, 550, 745, 940, 1135?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 3*z + 4, -z = -3*n + 12. Suppose 0*p = 4*p - 20. Suppose 0 = -p*t + 18 - 3. Solve -n*k + 3*i = 1, k - i = t - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - 3*z**2 + 22*z**2 + 8*z to the form t + b*z + k*z**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 + 80*o**4 - 4538*o**3 + 34200*o**2 + 335961*o + 571320 = 0.\nAnswer: -120, -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/12 + v**3\/3 - v**2 + 2*v. Let u be r(1). Sort -3, 2, u in ascending order.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 61. Let p(q) be the second derivative of q**4\/6 - q**3\/6 + 5*q**2\/2 - 66*q. What is the tens digit of p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81824 and 2.\nAnswer: 81824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c8 + 29b?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from ppxppbbpppdppddpbbpp?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.94952 rounded to 0 decimal places?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30436857 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 4. Let g be r(-2). Suppose -5*d - 14 = 2*a, 0*d = 5*a - g*d - 23. What is the units digit of a*(-8)\/(-3) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*b**2 - 18 - 12.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 714*k - 6*k**2 + 0*k**2 + 714*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5888 and -9\/23552?\nAnswer: 23552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 0.391.\nAnswer: 0.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 35 - 9)*(0*d - d + 2*d).\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7\/77)*(-6)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32029 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -46. Let a be (2 - 4)\/((j\/5)\/2). Solve -2*g + a*c - 2 = -0*g, 4*c - 2 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*a = -93*a + 44*a - 215. Which is smaller: a or -1\/11802?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u + 523*u + 523*u - 1886*u + 516*u + 517*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*b + 36. Suppose 0 = b*k + k + 2*z - 4, z = -3. Let a be ((-3)\/6)\/(k\/(-4)). Does 1\/30 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 346*z - 345. Give v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/238 + -5595\/476. Suppose 63 = 5*i + 3. Let w = d + i. Sort -1, -0.4, w in decreasing order.\nAnswer: w, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*h + 1 = 5, 5*h + 1 = -3*b. Let o be (-4)\/((-2)\/(b + 4)). Let 0*w**2 + w - 1\/2*w**o - w**3 + 1\/2 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*f**(-1\/12)*f*f)\/f)**(-13)*f**12*f**(1\/4)*f)**(2\/85) assuming f is positive.\nAnswer: f**(-226\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -2*o = d - 44. Is 22 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 67*w + 1. Let l be j(3). Let r = -133 + l. Calculate the remainder when 206 is divided by r.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86480 = -34*g - 12*g. What are the prime factors of g?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005637969 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27, 397, -1, -3.\nAnswer: -27, -3, -1, 2, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2. Let r(w) = 54*w**2 - 30*w - 1. Let o be r(3). Let m(j) = -21 + o*j**2 + 17 - 391*j**2. Calculate m(h(z)).\nAnswer: 36*z**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 22 + 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -5, 4\/3, 54, 42?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and 293779.15135.\nAnswer: 293779.27135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/13157712 and 77\/43584921.\nAnswer: 697358736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwotd. Give prob of sequence ovtw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2534 divided by 2\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 830*x\/11 - 8500\/11.\nAnswer: 2*(x - 10)*(x + 425)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18 - 18) + (-4)\/(-3 - 1). Is 8\/9 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 33, -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (2 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/6 - 2512*i**2\/3 - 113677*i\/2 - 56001 = 0. What is i?\nAnswer: -66, -1, 5091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.1 + -11. What is the nearest to u in 1\/5, -3, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -3.5211?\nAnswer: -2.5211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + 38. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3574 - 1654. Calculate the lowest common multiple of 336 and p.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25026703 times -0.5\nAnswer: -12513351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 10, -4*n + 5*p + 5866 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1836?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588738323?\nAnswer: 2588738323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p + 60. Let d be c(0). Suppose 3*s = 2*m - 3788, -61*m = -d*m + 3*s - 1894. What are the prime factors of m?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202164 and 195738?\nAnswer: 387952716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w - 10. List the prime factors of b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:56 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-3 - ((-8 - -6) + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**5 + 18*k**4 - 15*k**3 + 6*k + 6. Let m(q) = 6*q**5 - 37*q**4 + 30*q**3 + q**2 - 13*q - 13. Let n(c) = -13*j(c) - 6*m(c). Factor n(d).\nAnswer: 3*d**2*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 761872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/24 - 2*k**2. Let z(f) = 70*f**2 - 85*f. Let p(i) = 5*i**2 - 6*i. Let o(g) = -85*p(g) + 6*z(g). Calculate o(r(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*v - v - 48, -15 = 5*v. Suppose -93 = -2*a + u, -2*a - 5*u + 2*u = -97. Calculate the remainder when a is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i - 35. Let c be d(-8). Suppose -5*s = -5*o + 555, o - 6*o + 2*s = -555. Calculate the greatest common divisor of o and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -62*x**6\/3 - 101*x**3\/3 + 37. What is the third derivative of o(z) wrt z?\nAnswer: -7440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -354 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 837 - 846. Is -3\/28 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2502 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(22) + -5*sqrt(792))\/sqrt(2) + -5.\nAnswer: -29*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 71*h = 30. Let g(x) = x**2 - 2*x - 2*x**3 + 0*x**3 - 2*x**2 - 4*x**2. Let w(p) = 2*p**3 + 5*p**2 + p. Determine h*w(y) + 2*g(y).\nAnswer: 2*y**3 + 5*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:59 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10736866 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 33*m - 137. Let i be j(-6). Solve 0 = -3*x + 2*t - i, 0 = -4*x - 4*t - 0*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obsl when four letters picked without replacement from {b: 1, l: 4, s: 3, o: 6, u: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 56169\/4*l + 3\/4*l**4 - 483\/4*l**3 + 20145\/4*l**2 = 0.\nAnswer: 0, 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/(u\/u**(-3\/8)))\/(u*u**(-1\/6)*(u\/(u\/u**(-3\/8)*u))\/u))\/((u**(2\/7))**45\/(u**(-2\/5)\/u*u\/u**(3\/5))) assuming u is positive.\nAnswer: u**(-533\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 4. Let o be w(2). Let p(l) = -11*l**2 - 14 - 17*l + 14 + 3*l + 4. Let n(h) = -4*h**2 - 5*h + 1. Give o*n(m) - 3*p(m).\nAnswer: m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 11*l = 262. Suppose -12*n = -11*n - l. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - -1002501034?\nAnswer: 1002500555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -1667\nAnswer: 66.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3050030 by -26522.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 + -206. Let s = 239.6 + -294. Let g = -54 - s. Which is the closest to -29? (a) g (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8719, 17441, 26163, 34885, 43607?\nAnswer: 52329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20*(l\/l**(-7))\/l)\/(l*(l**(-10)\/l*l)\/l*l*l\/((l\/((((l\/l**9)\/l)\/l)\/l*l*l*l))\/l)) assuming l is positive.\nAnswer: l**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1873862*c*n**2 - 46*c*w + 25*n**2*w + 6*n**2 - 4*n*w + 2*n + 540*w - 1 wrt c.\nAnswer: 1873862*n**2 - 46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3709*w + 3702*w + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46991 is divided by 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -10*v**2 + 1045*v - 520 = 0.\nAnswer: 1\/2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6515*f - 3 - 2389*f + 7472*f.\nAnswer: 11598*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 - -123. Which is the nearest to -6? (a) 5 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30211 (base 5) in base 4?\nAnswer: -132023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 5*j + 2*j**4 - 5*j**3 + j + 4*j**3 as y*j**4 + n*j**3 + c + k*j**2 + a*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1096852 - 1096850. Find w such that 90*w + 185\/2 - 5\/2*w**i = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*m + 1121*m - 367*m - 384*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/(-60))\/(-7))\/((-2)\/(-12))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 + 1. What is the second smallest value in 2\/13, p, 7, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*(0 - (11 - 168\/15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58872 and 3432.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807066 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + 5*y - 9. Let n(o) = 2*o + 0*o + 3*o**2 - 4 + 3*o**2 - 4*o**2. Let j(z) = 5*n(z) - 2*u(z). What is the derivative of j(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**7\/21 - 41*a**6\/15 - 43*a**5\/5 - a**4\/3 + 85*a**3\/3 + 43*a**2 - 5324*a. Suppose p(d) = 0. What is d?\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or -408\/349?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42672 and 12192?\nAnswer: 85344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 0.28\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450728?\nAnswer: 2, 3, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.383 - -126. What is g rounded to 2 decimal places?\nAnswer: -7.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllooonlooo. Give prob of picking 1 l and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/162?\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 72. Suppose 3*v + 224 = z. Let c be 6\/21 + v\/7. Put c, 3, 1 in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-6960)\/495 + 14). Suppose 5 = -5*l - 30. Let q = w + l. Solve -q*a + 6 = -2, a - 6 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + -1 + 6 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-216))\/(5\/45). Which is greater: r or -39\/10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1.7 (b) 2\/3 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3\/4))\/t**(-2\/41))**(-1\/4))**(-8\/7) assuming t is positive.\nAnswer: t**(7\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*f - 13 = 0, -5*n - 2 = -n - 5*f. Let y be 2*(-7 - n)\/(-2). Let q be 22\/18 + (-4)\/18. Sort -1, y, q in increasing order.\nAnswer: -1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 1\/2*r**3 - 23\/2*r**2 + 507\/2 + 91\/2*r = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -111203131300?\nAnswer: -111203131302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 3*k + 3. What is the remainder when 6 is divided by d(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7726*n**3 - 117*n**2 + 197*n + 781 wrt n.\nAnswer: -46356*n - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16736*u + 87 + 2 - 5866*u.\nAnswer: -22602*u + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - ((-1045)\/60)\/(-19)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556192883.\nAnswer: 109, 1667, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 292425?\nAnswer: 1169700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -908, -1998, -3286, -4778, -6480?\nAnswer: -8398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i**5 + 4388*i**4 + 36432*i**3 + 46576*i**2 - 115840*i + 28416 = 0. Calculate i.\nAnswer: -148, -6, -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382*k**2 + 402*k**2 - 635*k**2 + 3*k**5 + 294*k**5 wrt k.\nAnswer: 17820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 + 1202222?\nAnswer: 1212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8099.869 litres?\nAnswer: 8099869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y = 51*y + 12. Solve -x + 2*n + 10 = 0, 0*x - 10 = y*x + 2*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - m + 15 = -b, b = m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 145 (c) -2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 5. Let b(f) = -5*f - 14. Let a = 4 + 5. Let r(w) = -w**2 + 9*w - 11. Let p be r(a). Determine p*o(k) + 4*b(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 4. Let g = -11 + 17. Let z = s + g. Which is the closest to 1? (a) z (b) 2\/3 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 21. Is w(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5\/(-45)*211875\/625.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 - -421. Suppose 6*i - 93 = g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m\/(m*m**3*m)))\/m*m)**(-49))**7 assuming m is positive.\nAnswer: m**(-2058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616131411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -2.2. Let m = 13\/30 + 1\/15. Let a = -5 - -7. What is the third smallest value in m, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1 - 2*f**2 + 3*f - 8 + 5*f + f**2. Let b be x(7). Is -2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from llvlvvvvlv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-3))\/1*-5*(-44320)\/55400.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 6*k + 4848. Suppose 0 = 9*d + 42 - k. Calculate the smallest common multiple of 4 and d.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89898 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0214 in 0.039, 43, 0.3, 5?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 75022592*l - 1407097327599616 = 0 for l.\nAnswer: -37511296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -15 - 18) + (-10 - (-18 - -9)) + 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 + 471. Let q(m) be the first derivative of 0*m**2 - y*m - 2 + 2\/3*m**3. What is the derivative of q(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -123, -145, -165, -183, -199?\n\"Answer: z**2 - 27*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*1*5\/1. Let o = -8222 - -8218.117. Let r = o - 0.117. What is the smallest value in -1\/10, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:03 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1\/(-2 + (-116)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29822421 divided by -4\nAnswer: 29822421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*i + 27*f**3*k - 5*f**2*k + i*k wrt f.\nAnswer: -12*i + 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 3*d - 1. Let r(h) = -h - 4. Let v(g) = -g**2 - 5*g - 11. Let t(n) = 6*r(n) - 2*v(n). Calculate -4*f(c) + 3*t(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -2\/11, 4, 52\/7, 832?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 21. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from sgygsysyysg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -84. Suppose -g*a - 2*x - 356 = -2014, 0 = 3*a + 3*x - 1248. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63160, -63161, -63162, -63163?\nAnswer: -63164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 2*g**2 - g. Let o be u(2). Suppose -o - 2 = -q. Let y = 22\/3 - q. Which is the nearest to 0.1? (a) y (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*d**4 - 317*d**3 - 1138*d**2 - 793*d - 132 = 0. Calculate d.\nAnswer: -11, -4, -3\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 55*q + 6 = 0. Solve -q*b = -4*i - 31, 0 = 4*b + 4*i + 7 - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:22 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 + 1 = 0, 3*q - 13 = 5*o. Which is the second biggest value? (a) 4 (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 3*l. Let d be v(4). Let q be 8\/d + 50\/2. Suppose 7 = -3*m - q. Round m to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4706 + -2702. What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -3.6802.\nAnswer: -0.147208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 70 - 61 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 15*n**2 + 24*n + 16. Let q be c(13). Let j be 420\/(-400) + q\/(-8). What is the nearest to 1 in -6, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(80) + 3) - (sqrt(10)\/(2*sqrt(2)*2))**2.\nAnswer: -8*sqrt(5) - 101\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 23 - 132956*z**2 + 133022*z**2 in the form x*z + u*z**2 + g and give u.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 + 7 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a0 - 29?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 57*k**4 + 57*k**4 + 2*k**3 + 60*k**4 - 13*k - 176*k**4 to the form n + y*k**3 + g*k**2 + p*k + x*k**4 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 7 = 5*a - 2*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.5073765 to one dp.\nAnswer: 134.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -709.89433625 + 663.59437. Let i = n + 46.3. Round i to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15 + 14\/(-210)*3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-10)\/12 - (-294)\/(-126). Let d(y) = -4*y + 2. Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = s - 7*l + 53, -4*s = 2*l + 206. Are -51 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 107*p**5\/30 - 121*p**4\/24 - 64*p**2. Find the second derivative of v(d) wrt d.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 1\/7, -10389 in descending order.\nAnswer: 13, 1\/7, -3, -10389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6*(-11)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.177, -5, 0.3, 4, -6.\nAnswer: -6, -5, -2, -0.177, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 1\/8*k**4 - 4*k**2 + 0*k**3 - 1\/15*k**5 + 0*k. What is the second derivative of g(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a + 2594?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 514, 531, 556, 589, 630?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*k - k. Let o(c) = k - 3 - 4 + 1 + 8*c. Let i(y) = -16*y + 9. Let j(b) = -4*i(b) - 7*o(b). Find the first derivative of j(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37578*f**5 + 434*f + 36?\nAnswer: -751560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {m: 17, h: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssskpsxpxpspxiispss. Give prob of picking 2 i and 1 p.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 20*m - 86. Give z(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 20. Let k be g(-9). Let j be k*(-2)\/16 - 0. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 2. Let r be v(5). Let n(x) = -253*x**2 + 1 + 2 + 254*x**2 - 6*x - 10. Let d be n(r). Solve -5*z + 15 = -5*q, z + 5*q + d*q = -9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6)*(-3)\/(-4). Is (1 + n)\/(12\/16) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 12) + (-52 - -17 - -17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r. Let y be x(-1). Let g be (-10)\/(-185)*y\/4. Suppose -6*j - 3685 = -3691. Is j greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**4\/12 - x**3\/6 - 4*x. Is k(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496270521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 129. What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 3*u - 2055 = 0, 5*p = u + 2065. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from guc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-552)\/(-16)*(-6)\/63.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 298\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 240552261?\nAnswer: -240552261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 5*y - 4*y)*(-81 - 87 + 36*y + 167)*(3*y + 3*y - 4*y).\nAnswer: 288*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21868 + -3433. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286022132*l**6 + l**2 + 40*l - 94985 wrt l.\nAnswer: -34322655840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11918 is divided by 2978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22516 is divided by 924.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*m**3 + 249 + 224*m**3 + 108*m**3 wrt m?\nAnswer: 1425*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 20 = r, -109*i + 5 = -104*i - 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2\/2 - 645*t\/2 - 66564 = 0.\nAnswer: -129, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -1\/3, 8 in ascending order.\nAnswer: -1\/3, -0.3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k + 140. Let t be n(20). Let m(o) be the second derivative of t - o**2 + 9*o - 7\/6*o**3. Find the first derivative of m(f) wrt f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t. Let j(i) = -7*i + 1. Let l(y) = -4*j(y) + 5*s(y). Let o(v) = -v - 3. Determine 5*l(p) - 7*o(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-28) + -2 + 0. Which is the second smallest value? (a) 0 (b) -2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**3\/6 - x**2 + 15*x. Let w be k(3). Suppose -3*m + 5 = -2*c, 0*m = -m - 2*c - w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (33498\/48 - (-5)\/40) + -11 is divided by 186.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2. Suppose 4*i = -2*v + 40, -2*v - 3*i + 60 = 2*v. Let p be (-5)\/20 + 4095\/v. Let w(d) = -6*d**2 - 341 + p. Give -8*t(q) + 5*w(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3625287 by 106.\nAnswer: -3625287\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943678392 to the nearest integer?\nAnswer: 44087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11968.13ug in nanograms?\nAnswer: 11968130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2687 - 396. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304\/798 + 16\/(-12) + (-2)\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6020777 rounded to three decimal places?\nAnswer: 0.602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6165 and 40?\nAnswer: 49320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 0, 5*m - 98 = -4*g + 342. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = 4*p - 23, -4*p + 12 = 4*c. Let a = -26 + -9. What is the remainder when (0 + c)*-1 - a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273.55 + -335122.55. Let w = a + 334854.00002. Let n = -5 + w. What is n rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*g - 9, 0*g - 7 = g + 3*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.96405 to two dps.\nAnswer: 213.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862158964 - 8.\nAnswer: 862158956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:34 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/15 - 5*b**4\/3 + 14*b**3 - 20*b**2 - 2. Factor z(n).\nAnswer: 4*(n - 7)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*s + 78, -2*s - 162 = 5*i + 2*s. Let j = 36 + i. Calculate the smallest common multiple of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37443068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(451\/1968) - (2 + 0)\/((-12)\/66).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-7)\/(35\/65))*4\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*9400\/564?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662802688 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -3345161162?\nAnswer: 3345161163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 20*s**2 - 351*s + 3825. What is a(28)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(170))\/sqrt(10).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -t*a = -3*a + 29. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + l + 7\/6*l**3 + 6*l**2. Let x(k) = -10*k - 18. Let j(g) = -5*x(g) - 7*y(g). Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*o = 11, -4*d - 4341*o - 58 = -4346*o for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 442\/(-255) - 4\/(-10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1a6e3b3?\nAnswer: -1a6e3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2170, -8562, -19214, -34126, -53298, -76730, -104422?\n\"Answer: -2130*s**2 - 2*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((((c*c*c\/((c*c**(-3\/4))\/c))\/c)\/c)\/c)\/c)**37*(c**1)**(3\/11))**(-9\/4) assuming c is positive.\nAnswer: c**(-11097\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15*-2)\/((-78)\/(-1014)*442).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25667 + 2*z**2 + 12834 + 12833 - 6615*z + (z + 4*z - 4*z)*(2*z - 5*z + 4*z).\nAnswer: 3*z**2 - 6615*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 2. Let j be l(-3). Let a(t) = -3*t. Let f be a(-2). Suppose -8 = j*v - 0*v - 3*r, 3*v + 2*r = -f. Are -0.11 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(300) + 1*sqrt(300) + sqrt(300) + sqrt(300)) - (3 + sqrt(300) + 1*sqrt(300))**2.\nAnswer: -1209 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 1171*o - 7168. Let z(k) = -3*k**2 + 6*k - 2. Let m(w) = c(w) + z(w). Factor m(n).\nAnswer: 5*(n - 239)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5 = j, -15*j = -10*j + 3*w - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 10*t**2 + 51*t + 465. What is s(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.7665 milligrams?\nAnswer: 0.0087665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by ((-4)\/2 - -2) + (9 - -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2470225*l + 1 - 2453395*l - 1 to the form m + g*l and give g.\nAnswer: 16830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1437877?\nAnswer: 1437873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 34 (c) 4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/12 + v**3\/3 - v**2\/2 + 12*v - 10. Let u(c) be the first derivative of a(c). What is the tens digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*f**3\/5 - 386837*f**2\/5 + 196895452*f + 15544860.\nAnswer: (f - 5090)**2*(38*f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 9*q + 5*q + 67, 2*p - 5*q = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2927 and 541467\/185 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjjjjrjrjj?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(-7 - (-38)\/6). Let s be (-32)\/24*(0 - i). Which is the nearest to 0.4? (a) -5 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1*((-20)\/(-1300))\/((-6)\/10)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 534253918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122552 - -52?\nAnswer: -122500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 9 (b) -128 (c) 0.1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 5, h: 3, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 6*k + 2. Let d be 1 + (-1 - 3) + -3. Let s be j(d). Suppose 3*y + 4*a - 39 = a, 3*y - 5*a - 63 = 0. Solve -s*c = 2*c - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 33. Suppose -i + x = -165, -i + 5*i = x + 645. Calculate the highest common divisor of p and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2467, 4924, 7385, 9856, 12343, 14852, 17389, 19960?\n\"Answer: m**3 - 4*m**2 + 2462*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 1354855?\nAnswer: 1354863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10200010 = -5*b, 0 = -i + 3*b + 1596235 + 953759. Round i to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*j - 51467, -7*q + 8*q + 5*j = 10306. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 17*h**2 - 13*h - 31. Let k be j(-9). Suppose 237 = k*a - 13. What is the remainder when a is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21035\/(-27090) + 4\/18 and -13\/72.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19400 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588)*2 - (2*sqrt(84))\/sqrt(7))\/((sqrt(6) - (sqrt(6) - (sqrt(30)\/sqrt(5) + sqrt(6)))*-5)*1))**2 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, h: 1, c: 3, f: 3}. What is prob of sequence dh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15047*c**3 - 4*c**2 + 23*c - 2. Let q(u) = 2*u. Let d(v) = 22*q(v) - 2*y(v). Let m be d(-6). Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 0.6. Let y = x - -2. Suppose -4*h = -2*a - 0 - 52, 4*a + 26 = -5*h. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456719347 times -3?\nAnswer: -4370158041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:00 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = 0. Let n(m) be the first derivative of 7\/10*m**5 + 0*m + 1\/4*m**4 - 1 + 0*m**2 + 5\/12*m**6 + f*m**3. Suppose n(p) = 0. Calculate p.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*c + 5 = 0, 6*c = -3*f + c - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*n - 1832, 2*u - n - 373 - 545 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from {j: 3, a: 7, e: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34536 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: Let g(q) be the first derivative of 33*q**4\/4 + q**3 - 107*q**2\/2 - 1810. Find the second derivative of g(w) wrt w.\nAnswer: 198*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7678 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -240, -243, -246, -249?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 + 6*o**2 - o - 9*o**2 + 2*o - 3*o to c + u*o + w*o**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 = 2*v - h, -4*h + 30 = -2*v. Let n(f) = -4*f - 6. Let o be n(v). Let u be 689\/21 - (-1164)\/6111. What is the highest common factor of o and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147347, 147451, 147723, 148247, 149107, 150387, 152171?\nAnswer: 154543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2753 - -16525\/6. Put -0.29, p, -2 in increasing order.\nAnswer: -2, -0.29, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, n: 1, f: 1, e: 1}. Give prob of sequence ne.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1032 and 7.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 111. Let w be l(54). Let j(f) be the second derivative of 0 - 4*f**2 - 3*f + 0*f**w + 2\/3*f**4. Differentiate j(z) with respect to z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -241, 1, 483, 1289?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2781344692 + 1716422170. Let u = j + 1064922452.99999956. Let r = u + 69. What is r rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 17*h - 2. Let g be k(-6). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, -30.3062, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870 >= 3873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 - 123*j + 4218. Let m be k(43). Which is smaller: m or 13722?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 42.55 and 0.3.\nAnswer: 42.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2146 + 3506 = -471*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/4 + 39*s**4\/4 - 791*s**3\/2 + 9163*s**2\/2 - 89523*s\/4 + 160867\/4 = 0. What is s?\nAnswer: -67, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 10. Let z be 19\/(-44) - (-3)\/12. What is the third smallest value in 5, z, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 353*n - 15567. What is z(-79)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*k**5 + 111*k**4 - k**2 + 45648*k.\nAnswer: -780*k**3 + 1332*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -135 (b) 44\/19 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.82 and 13.48992 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 - 15) - -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3) - sqrt(12)\/sqrt(4)) - (sqrt(42)\/sqrt(2))\/sqrt(7))**2*1 + sqrt(336)\/(sqrt(448)*-1).\nAnswer: -sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4 - 4148*n**3 - 2146584*n**2 + 4309776*n = 0.\nAnswer: -1038, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 + -2.5. Let z(y) = y**3 - 3*y**2 + 2. Let l be z(3). What is the third smallest value in d, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, 12, 0, 3 in decreasing order.\nAnswer: 12, 3, 0, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 2 - -1 - -4. Suppose -d*l - 4 = -4*l. Let k(i) be the third derivative of i**6\/120 - i**5\/15 + i**3\/6 - 15*i**2 - 2*i. Give k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.1 (b) -2\/15 (c) 0.06 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1 - (-3)\/2). Suppose -27*y - 72 = -21*y. Let w be -2*(-7)\/(392\/y). Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**4\/12 - 7*b**3\/6 + 6*b**2. Let q be d(-4). Let a(h) = 9*h - 1. Is 7 a factor of a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 4*v - 4*v)*(-3 - 3 + 4)*(-4 + 1 + 2)*(315*v + 92*v - 18*v) as x*v**2 + z*v + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhz. Give prob of sequence zrhz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 375 = l. Let g = 33 + l. Suppose 86000 = 6*a - g*a. Round a to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*f = 88*f + 675332 + 179423. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 0)*(-1)\/1. Suppose -v*t - 10 = 2*f - 5, 5*f - 65 = 3*t. Calculate the remainder when 38 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 47, -3\/101, 4, 173?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84 and 1663745149.\nAnswer: 1663745065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1, 406.6, -2, -26.\nAnswer: -26, -2, -1, -0.8, 406.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h - 12. Let m be -5*5*10\/25. Let s be m\/(-15) + (-25)\/(-3). Suppose -2*a = -s*a. Determine x(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512708 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 19*i**3\/6 + i**2\/2 - 1935*i. Let y(o) = -10*o. Determine 3*x(c) + 5*y(c).\nAnswer: 7*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 10*k + 27. Let m be z(-6). Suppose -h = 3*t + m, -10*t + 7*t = -5*h + 3. Solve h = -5*f - 3*y + 28, 5*y = 4*f - 9*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-1 - (-10)\/(-2) - -5). Let j(a) = -2*a**3 + a**2 - 6*a - 9. Calculate the lowest common multiple of 63 and j(n).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -338*x + 111. Let j be p(-13). Let t be 636\/j*35\/2. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 11:50 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2631415?\nAnswer: 5, 526283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5581 and -201?\nAnswer: -112.1781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*l - 2*v, -4*l + 4*v + 32 = -92. Suppose -3*x + h + l = 0, x + 5*h = 2*h + 20. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {f: 2, e: 3, n: 4, d: 4, i: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571 divided by 857?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 3, q: 3, c: 1, p: 5}. What is prob of sequence cpy?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -17.45.\nAnswer: -6.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.78237 to two dps.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 7*z**3 - 3*z**3 - 8*z**3 - 8922*z**2.\nAnswer: -2*z**3 - 8922*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 151607.3l?\nAnswer: 151607300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 29*s - 30 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-14))\/((-2)\/((-184)\/3)). Let a = r + 51. Suppose 0 = a*x - 2119 - 2676. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44038 > 308269\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03128466 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 65. Suppose -5*i = -10, u*y + 0*y - 5*i + 20 = 0. Calculate the remainder when y\/3 - -622*4\/24 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-7))\/16)\/(4\/119).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48616673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(-40) - -2)\/(24\/60). Solve 0*m - 2*i = -t*m - 8, 2*m - 12 = -2*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -393*j*u**2*v**3 + 3*j*u*v**3 - 54*j*u*v + u*v**3 wrt u.\nAnswer: -786*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhhu when four letters picked without replacement from {h: 2, j: 1, u: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 409*g + 3110. Determine u(-4).\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*o + 2*k - 15, 5*k - 9 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j + 293 = -1453 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 8. Let d be l(-7). Let m be (d - -11)*(-4)\/(-8). Put m, -5, -2 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 + 3 = 0. Let l be (-1 - -2)\/((-1)\/r). Sort l, -1, 5 in decreasing order.\nAnswer: 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -5 (c) 0.08 (d) 199 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y. Let w(p) = p**3 - 6*p**2 - 8*p + 8. Let i be w(7). Let n be -1*(2 - (9 + -2)). Sort n, y, i in decreasing order.\nAnswer: n, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuivcukivkvvkpvvi. Give prob of sequence pvui.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 163 + 134 + 0*d)*(-2 - d + 2) as k*d**2 + n + i*d and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 449 - 432. What is the remainder when 1697 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 36*c = 46*c - 4*c + 1824 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + ((-3)\/3 - -1). Let z be 3*14*(2 + -1). Let w be 6\/(-21) + 26\/z. What is the third smallest value in l, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.3 (c) 2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -0.28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7*g + 120. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 1715 = 5*z - 1771 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/33 + 1 - (-2)\/(-11). Solve f = -y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42446*m**2 - 84894*m - 4 = 0.\nAnswer: -2, -1\/21223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q)**(-43)*(q**1)**(-28) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -r + 15, 0 = -4*x - 4*r - 9 + 49 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-5)\/(-2) - 2). Solve 5*z + b*z - 20 = 4*t, 0 = 4*z + t - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174.609 micrometers in millimeters?\nAnswer: 7.174609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 77*v - 593. Calculate o(20).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + (-3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212988*k**2*t**2 - 4*k**2*t - 11185*k**2 - 2*t**2 wrt t?\nAnswer: 425976*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/((-2475)\/(-22)) + 76\/(-18). Let s(f) = -12*f. What is s(n)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 - 4*m**2 + 12*m + 23. What is the tens digit of i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 5, f: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22.33465, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 + 0*f**2)*(-2*f - 13 + 14 - 5*f).\nAnswer: -7*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 66 = b - 2487, 2*b + q - 4828 = 0. Suppose 5*w - 5*c = b, -4*c + 861 = 2*w - 93. Is 37 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 + 7*i**3\/6 - i**2\/2 + 7*i. Let q(c) be the first derivative of b(c). List the prime factors of q(14).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 19*y**2 - 84*y - 23. Calculate u(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaae when four letters picked without replacement from {a: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2219546ml in litres?\nAnswer: 0.0002219546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*r**4 - 13*r**3 + 448 - r**2 - 33*r**4 + 97 wrt r?\nAnswer: 120*r - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 413*n**2 - 16*n + 56. Is 33 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p + 2. Let z be i(-3). Suppose 2*t = -2*t + 8. Let w(d) = -d**2 - 4*d + 3. Let c be w(-4). Solve -5*s + 14 = t*q, z*s + 5*q = c*q + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14579461 or -14579460?\nAnswer: -14579460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 2058?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -875ac2 - 1?\nAnswer: -875ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 28. Calculate f(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 8. Let a be s(-2). Suppose 143*i - 135*i = a. Solve 4*m = 3*h + 29, 0 = -i*m + 2*m - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20001022 (base 3) to base 14.\nAnswer: -186d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 12:21 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 709*c**2\/2 - 17726*c\/5 + 2 = 0?\nAnswer: 2\/3545, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-3)\/(-3) + 0). Which is the nearest to -2\/7? (a) 2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 2*c)*(-4*c + 20 + c**2 - 20).\nAnswer: c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) + 68\/5. Suppose 0 = -2*y + 2*f - 4, -3 = -3*y + 4*f - x. Solve y*n - 2 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6454 + -3845. Suppose 7*y - 4776 - b = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4)\/(48\/34))\/(3\/(-18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010000111 - 11010?\nAnswer: 1001001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 1}. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -12. Let q = s - -19. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/11, -49058\/5 in increasing order.\nAnswer: -49058\/5, -6\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 4, l: 2, w: 1, b: 2, r: 4}. Give prob of picking 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 31*a + 11. Let m(x) = 16*x + 5. Give -5*m(i) + 3*t(i).\nAnswer: 13*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 6*o**2 + 4*o - 7. Let d be x(-5). Let f = d + 23. Does f = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45028965 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -7313*f**5\/20 - 10139*f**2\/2 - 30*f - 24. Find the first derivative of j(g) wrt g.\nAnswer: -21939*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6*52\/6)\/(3\/6). Let d = t - -1455\/14. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Suppose -5*o + p = -0*p - 4, 3*o = 4*p - 1. Let u be (4\/6)\/(172\/129). What is the third biggest value in u, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 11. Let x be i(5). Let w = -51 + 74. Let r = w - x. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 - 39.61.\nAnswer: -36.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2995 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1735 + -14. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 335716.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 15276*z - 30568 = 0. What is z?\nAnswer: -2, 3821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*x + 23*x - 4*x - 49*x - 2*x**2 to the form v + c*x + z*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*r + 3268*r + 182733 + 378192 = -63*r for r.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 = -f + 4, 4*s = 3*f + 49. What is the remainder when s is divided by 39\/9 - (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01460287 to four decimal places.\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 28. Suppose -3*y - u*z = 2*y - 573, -4*y - z = -459. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/7 - 1154*p**2\/7 + 163542*p\/7 + 846810\/7 = 0 for p.\nAnswer: -5, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1982309 - -1231.9068.\nAnswer: 1983540.9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*d - 9 + 2*d**3)*(2844 + 84 + 2814 + 867 - 353).\nAnswer: 12512*d**3 - 25024*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -220941, -883709, -1988321, -3534777, -5523077?\n\"Answer: -220922*o**2 - 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 894473\/13 + -68852. Let y = 231539\/4992 + h. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779408*0.1.\nAnswer: -77940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h**2 - 3*h + 15. Let p(i) = 3*i**2 + i - 6. Let c(j) = 3*d(j) + 8*p(j). Let g(l) = 16*l**2 + 6*l + 16. Give 11*c(x) + 2*g(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8 (base 12) to base 3.\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -42. Suppose 0 = -18*p + 45*p + 351. What is the least common multiple of z and (7 - p)\/(2 + -1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.965 - 0.035. Let i be (-8)\/3*(-2)\/8. Which is the nearest to i? (a) -4 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3998*l + 126255 + 81641 = 0 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -o - 4*g, 5*g = -3*o + 64. Suppose 545 = -5*a + 1560. Let f = a + -119. What is the highest common divisor of o and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 73, 17, -61, -161, -283?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - (6 + 45 + -17 + 6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36994 + 66590. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/7 - 30*x\/7 - 9 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1652 divide 223763400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 559528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 62, 24, -76, -250?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35357745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + -99. Let b be (16 - -5)*(4\/(-3) - a). Suppose g = 195 + b. List the prime factors of g.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 0.9, 23\/5 in decreasing order.\nAnswer: 13, 23\/5, 0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -145901 at most 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4203 - -4204.554. Sort 3, 7, d in increasing order.\nAnswer: d, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -25*h - 736. Give k(-30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 13*k. Let m(v) be the third derivative of 0*v**5 + k*v + 0*v**4 - 1\/120*v**6 + v**2 - 1\/3*v**3 + 0. What is the derivative of m(o) wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354985 is divided by 153?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 496*r**3 - 6*r - 526. Let c(h) = 15*h**3 - 2*h. Let m(s) = 12*c(s) - 4*g(s). Differentiate m(z) wrt z.\nAnswer: -5412*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*4*-6)\/(6*sqrt(32)\/sqrt(4)) + -5.\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 12, 17, 22, 27?\n\"Answer: 5*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-20)*((-12)\/(-5))\/1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244053757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 + 4*q**2 + 25*q - 16. Give j(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 5. Suppose 0 = -2*s - 18*i + 21*i + 767, 4*s - 1561 = -3*i. Suppose 0 = -13*p - s + 362. Give w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 10)\/(-8)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -1 - 36\/(-4). Let g(n) = -n**3 + 11*n**2 + 11*n + 16. Let z be g(l). Solve 13 = z*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 915050817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 p when four letters picked without replacement from {p: 2, y: 7, q: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 1. Let p = 2 + m. Suppose 4*o - 72 = -i, 3*o + p*o + 2*i - 59 = 0. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*u*y - 1162*p**3*u - 7*p**3*y**2 - p**2 - 55*p*u*y + 422*p*y**2 wrt p?\nAnswer: -18*u*y - 6972*u - 42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3 + 2 - 1 + 3. Let v(k) = 2*k - 2. Determine 4*s(d) + v(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 2*h**2 - 67*h**3 + 30*h**3 + 45*h**4 + 18*h**3 + 20*h**3 to the form o*h**2 + k*h**4 + s*h**3 + n*h + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -43*o. Let u(c) = 305730*c + 5719. Let r(w) = -1124*w - 21. Let s(l) = -817*r(l) - 3*u(l). What is -129*g(v) - 5*s(v)?\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.7601707 - 30.76. Round a to 6 decimal places.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5, 2*p + v - 2 = 29. Let q(k) = p + 2*k**2 - 26 + 8. Let u(x) = -28*x**2 - 6*x - 3*x + 9*x. Determine q(u(d)).\nAnswer: 1568*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yiyyyyyy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0791, -0.2, 3\/7?\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -2 - (-14 + 20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/(8\/(-96)*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1151\/4004 - -1\/572. What is the closest to -0.2 in v, -0.04, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45075.36 decades?\nAnswer: 450753.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 42 = 8*t + 112. Which is the nearest to -0.6? (a) 0.5 (b) t (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0168 + -78.2168. Let t = r - 0.8. Let b = -78.84 - t. What is the second smallest value in 1, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1765 - 1763\/3530. Which is the closest to u? (a) -0.1 (b) -2\/3 (c) -2051 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b**2 + 25*b**2 + 245 - 246.\nAnswer: 114*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 1 (c) 894\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/39? (a) -66\/7 (b) 0 (c) 1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -2061886?\nAnswer: -63918466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/12 + q**2\/2 + q - 37. Let a(s) = 4*s**3 + 6*s**2 + 2. Calculate a(r) - 4*u(r).\nAnswer: 4*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - 834*(-2)\/(-20). Let r = j + 95. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 - m**3 + 2*m - 4*m**4 - 2*m - 2*m + m**2 to the form h*m**3 + l*m + s*m**4 + p + x*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2 - ((sqrt(7) - sqrt(700)*-3) + sqrt(7)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.044 + -33.956. Let r = y + 33.99962. What is r rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + -4.95. Let n = 7.7438 + -5.7438. Sort 0.3, j, n.\nAnswer: j, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2106\/312*2\/(-6))\/(9\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1279 - 23*q + 3540 + 26*q in the form j*q + d and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 14637 = -3*w - 3*a, 5*w = 2*a + 14633. Let z be 2\/(-21) + w\/945. Solve -3*s - z*l = 0, 5*l - 8 = -0*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583981 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1844 smaller than -1845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1 + 12*q + 2*q**3 - 11*q - q**3. Let p(w) = -w**3 - 7*w - 4. Let v(k) = -4*b(k) - p(k). Factor v(c).\nAnswer: -3*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 266*j - 3993. Let h be p(15). Let s(g) = -31*g + 3. Let l(t) = 94*t - 8. Give h*l(d) - 8*s(d).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.006 + -49.994. Let t = 57.2 + j. Round t to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*c + 458*c**2 + 440*c - 218*c.\nAnswer: 458*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2265.24s?\nAnswer: 2265240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**4 - 1\/2*u**2 + 0*u**5 + 1\/30*u**6 - u + 0*u**3 + 0. What is the first derivative of n(p) wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/45 (c) -0.1 (d) 989\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z + 52006 = 0, -208004 = 4*m - 0*m - 2*z. What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-2)\/20*4*10. Solve 2*y + n*y = 25, -5*i = 2*y - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2*l**3\/15 - 6. Factor p(q).\nAnswer: -2*q**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = l - 70 - 38, 3*h + 9 = 0. Calculate the highest common divisor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 17, -7810, -5 in descending order.\nAnswer: 17, 7, -5, -7810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 5*f - 4*f)*(-2 + 2 + 2) in the form t*f + d and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = -4*p. Let c be (-3)\/(3\/p) - 0. What is the second derivative of -2*a**c + 2*a**2 + 0*a + 3*a + 2*a**2 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -11\/7 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/35, 0.2, -0.023?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2081*h**5*t**2 - 451*h**3*t**2 - 2655*h*t**2 + 5*h*t + h - t + 3 wrt h?\nAnswer: 41620*h**3*t**2 - 2706*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/43 - (-10 + -8*(-77)\/44).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1538*v - 499 - 173 + 60 - 1533*v + 3068*v to s*v + k and give k.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g + 5. Let p be f(-1). Solve 30 = -5*k + s, -p*k - 4*s = -s - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (11 - (2 - 4))) + (-1 - 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d - 19. Let n be c(8). Suppose 3*r + n*k - 707 - 74 = 0, -4*k - 763 = -3*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(132)\/(sqrt(60)\/sqrt(5))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-4) - ((-8)\/32)\/(-1). Solve -3*a - w = -2*k - 0*a, -5*k + 5*a = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.0438\nAnswer: -0.0219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and 263460.\nAnswer: 7640340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 20*w**2 + 2*w - 18. Let i be z(10). Which is the nearest to 2\/3? (a) -0.2 (b) i (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1737444.\nAnswer: -868722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 578322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*o + 0 = 2, t - 4*o = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6730.\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14a - b?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35700298 and -0.71.\nAnswer: -35700298.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**3\/6 + 9*n**2\/2 + 11*n. Let g be p(5). Suppose -5*v = -g*y - 310, y = 4*v - 174 - 74. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166191 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7158887 years?\nAnswer: 0.07158887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 2. Let i(t) = -5*t - 2. Let j be i(6). Let g = 36 + -15. Let x = g + j. Let n(q) = -q**3 - 5*q**2 - 11. Give x*h(o) - 2*n(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -4*sqrt(8) + -2*sqrt(288))**2 + (2*sqrt(288))\/(sqrt(9) - (sqrt(81) - sqrt(81)*-2)\/sqrt(9)).\nAnswer: -4*sqrt(2) + 1922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1748\/418 - (-4)\/(-22). Suppose 0 = 5*y + 4*l - 152, 2*y + j*l - 62 = 6. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 36*n + 5. Let s be x(-18). Let l(g) = -9*g. Let o(h) = -5*h. What is s*o(i) - 3*l(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 8*p**2 - 141*p - 77. What is u(13)?\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -2\/5 (c) -22 (d) -190 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*1*(2\/(-10))\/((-1282)\/(-641000))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in -0.28, 275, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141855 by -2895.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2, 26, 2\/7?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 7) to base 3\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:38 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*r + 4*k, -3*r = -3*k + 5 - 35. Suppose 3*a + r*o - 15 = 10, 3*a + 4*o = 20. Let v be -10402 + (1 + 1 - a). Round v to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3329 by 4.\nAnswer: 3329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 9 (c) 145\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*x = p, -3*p + x = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-370)*-2*(-18)\/(-3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 40 = 0. What is the smallest common multiple of l and (-1 + 7)*(8 + -7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137298736764981.9999935 - -137298702693282. Let f = -34071712 - r. Let k = -12 - f. What is k rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/5 (b) 485 (c) -1\/3 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 956 + -953. Solve -3*p - 7 = p + 5*y, i*p - 2*y - 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = y - 6*v + 4, 2*y + 4*v = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1016705\/3 or 338902?\nAnswer: 1016705\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k**3*s*x - 139*k**2*x + 5*k*s*x + k*s + 19*s*x - 22*s wrt k.\nAnswer: 72*k*s*x - 278*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*b**3 + (-1 - 2*b**2 + 1)*(-b + b + 2*b) - 3*b - b**3 + 3*b - 2*b**3 - 3*b**2 + 3*b**2 - 1 + b**3 + 1 + b**3 - 2*b**3 + 0*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 37 = q, 62*q - 59*q + 3 = 3*z. Let s(g) = -2*g**2 + 16*g + 13. Let l(n) = n**2 - 11*n - 9. Calculate q*l(j) - 5*s(j).\nAnswer: 3*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + (-3*sqrt(832) - sqrt(832)))) + sqrt(832))\/((sqrt(196) - (-1*sqrt(196) - sqrt(196))) + sqrt(4)).\nAnswer: 10*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.18. Suppose -682 = 6*f - 688. Let a be (10 + -7)\/60 - f\/(-5). What is the nearest to k in a, 5, -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 74\/275 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 198 - 102 - 96 + 4*k - 6*k. Let w(b) = 5*b**2 - 3*b**2 + 9*b**2. What is f(w(h))?\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6)*l*l*l**5)\/(l\/((l**(2\/11)*l)\/l)*l\/l**(-7)) assuming l is positive.\nAnswer: l**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4430.33625 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 11258040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + 2*w**2 + 7 - 7.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2))\/(1971\/(-1971))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30984 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: Let v = 17 + -16.8. What is the nearest to -1\/2 in v, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19425.8399 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 8*n - 4. Let v = 4 - 10. List the prime factors of f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 38 = -10836*m + 10839*m, 2*d + 78 = 5*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261785, -523590, -785397, -1047206, -1309017, -1570830?\nAnswer: -1832645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 + 246942*t**3 - 134781401*t**2 + 18520741800*t - 7386747500 = 0. What is t?\nAnswer: 2\/5, 275, 48838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h - 67*h + 25 - 74*h + 283*h - 69*h - 22.\nAnswer: 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 - 8*h + 4. Let y be z(-8). Suppose x + 0*o = o + 120, -o = y*x - 505. Suppose -7*k - x = -12*k. Solve 5*q = -0*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10467.01 + 10466.96300012. Let b = 0.047 + q. Round b to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 23\/30*g**6 + 1\/252*g**8 + 0 + 0*g**3 + 50\/9*g**4 + 4\/45*g**7 - 7*g + 2*g**2 + 28\/9*g**5. Find y, given that f(y) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26 - 27)\/(18\/48 + 7\/(-8)). Factor -3\/5*u**d - 1\/5*u**3 + 4\/5*u + 0.\nAnswer: -u*(u - 1)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12192492271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8*y + 2250. Round y to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*-6*(-1)\/27. Solve -v*c + 2 = 0, -2*c - c - 2 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*o + 188*o - 309891 - 52029. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 33 = -4*g. Suppose -1\/4*v + 1\/4*v**g - 1\/4*v**2 + 1\/4 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2)\/5)\/(-2) + (-1939988)\/(-860) and 16?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = -10. Let h = 12 + -8. What is the derivative of -3 - h - i + 7*f**2 + 8*f**2 wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16375 and 18471.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 10*k + 3. Let r be i(5). Let g = 0.35 + -0.2. Let w = g + -0.55. Which is the nearest to 12? (a) -4 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(9\/(-585)). Suppose -3*q - 5*a + w = 0, -5*q - 5 = -3*a - 3. Factor 6*y - 3*y**q - 90 + 90.\nAnswer: -3*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 4, 69, -1, -10 in ascending order.\nAnswer: -181, -10, -1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000203 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 3*t - 7. Let s be d(-5). Let m be (1\/2)\/(2\/s). Find the third derivative of -m*w**4 + 0*w**4 + 2*w**2 - 6*w**2 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 49*q + 524. Calculate w(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 21\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10426?\nAnswer: 2, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {l: 4, i: 7, m: 3, v: 3, x: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 1930.\nAnswer: 63690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1504 and 23192448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5 - 91*o - 78*o + 242*o + 2 - 81*o. Determine k(-8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i + 2. Let l be d(-5). Suppose -5*s - 4*m + 15 = -58, -77 = -4*s + 3*m. Suppose -12*n - 15 = -s*n. Put n, l, 6 in decreasing order.\nAnswer: 6, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 2 t when four letters picked without replacement from {z: 1, d: 7, t: 6, m: 2, c: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**2 - 1 + q**3 + 9*q**2 + 2*q**3 - 18*q**2 - q**4 to the form k + b*q**4 + l*q + u*q**2 + g*q**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21937 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytu when three letters picked without replacement from {y: 1, a: 3, n: 2, u: 3, t: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22951324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -4.722368768.\nAnswer: 4.322368768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8607 - -9098. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9746535 millennia?\nAnswer: 974.6535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 4:34 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 3, o: 5, n: 4}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u - 4. Let n be v(-3). Let c = 38 + n. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 3. Let t be b(-3). Find the second derivative of 0*h + 4*h**2 - 3*h**2 + t*h + 2*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 760*x**4 - 192*x**3 - 2880*x**2 - 48. Let c(a) = 4*a**3 - a**2 + 1. Let g(h) = -48*c(h) - p(h). What is the third derivative of g(u) wrt u?\nAnswer: -18240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 - 3*t**5 - 86*t**5 + (5 - 2*t**3 - 5 - 12*t**3)*(4*t**2 - 2*t**2 - t**2).\nAnswer: -96*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-481)\/(-39))\/(-37))\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u + 14. Let f be i(-4). What is the remainder when 17 is divided by (24\/(-10))\/(4\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/(((-4)\/150)\/((-50)\/500)). Let d(r) = r**2 - 1. Let m(y) = -7*y**2 + 8. Determine k*d(x) + m(x).\nAnswer: -2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1268641 (base 9) to base 13.\nAnswer: -1b45c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a + 88 = 74*a. Suppose 2*o = -0*o + 22. What is the greatest common divisor of o and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633869671 - 8667*x**3 + 1633869671.\nAnswer: -8667*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5367 - 3140. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*d + 351*d + 229 + 500 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13) + 0)**2 + (sqrt(39)\/sqrt(3) + 0)**2.\nAnswer: -6*sqrt(13) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 39558 divided by -13186\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/55, 18, -1, 2\/17?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42024, -168166, -378432, -672822, -1051336, -1513974, -2060736?\nAnswer: -2691622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myrkrsc. Give prob of picking 1 y and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258 - -181. Let l = g - -76.5. Which is the nearest to 1? (a) 1 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 divided by -47665?\nAnswer: 556\/47665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6095 = 10*u + 665. Let j = u + 1278. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1649852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 3) + 4 + 8 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-2\/9)\/m)\/m)\/m*m*m)\/(m**(3\/4)\/m))\/(m**(-3)*m**(2\/9)) assuming m is positive.\nAnswer: m**(65\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -424267 + 424268.199932. Let v = -1.8 + 0.6. Let w = v + c. Round w to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2131 - -3466. Is 89 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + 2 + (-4*sqrt(320)*-1 + -1 + sqrt(320) + 5)*-5)**2 + -1.\nAnswer: 6400*sqrt(5) + 200259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 3*f - 2. Let l be k(-2). Let y = 994 - 992. Let h be ((-414)\/45 - -8)\/y. Which is the second biggest value? (a) -0.25 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 137696482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*v + 8 = 0, -5*v + 12 + 0 = 4*j. Let z(b) = 4*b**2 - 7*b - 13. Calculate the remainder when 67 is divided by z(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/(-6*2\/(-1440)). Let f = 40 - v. Let p(i) = -157*i + 6. Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 53128203.\nAnswer: -53128196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(2*sqrt(9)) + -6*-1*sqrt(17) - ((sqrt(1088) + 0 - sqrt(1088)) + 0 + sqrt(1088)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14114, -28224, -42334?\nAnswer: -56444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 2*z**9\/63 + z**6\/15 + 11*z**5\/30 + 2*z**3 + 2*z**2 + 9*z. Find the third derivative of c(g) wrt g.\nAnswer: 1920*g**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:07 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 45 - 27. Suppose -594 = -2*o + 24739*f - 24737*f, 5*o = 4*f + 1476. What is the greatest common divisor of w and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.087 - -0.113. Sort q, -7, 5.\nAnswer: -7, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14591 is divided by 973?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003179425 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-4))\/(14\/(-8)). Let p = -194.61 - 1.39. Let x = 196 + p. Which is the nearest to f? (a) -2\/11 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1156 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 14*a + 43. Calculate the remainder when k(5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 8*d + 13. Let b be y(9). Let j = -2 + b. Find the second derivative of -f**2 - 3*f + j*f + 2*f wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t - 24. Let s be i(-4). Solve s*u + 5 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -197, -1030, -2475, -4532, -7201, -10482, -14375?\n\"Answer: -306*k**2 + 85*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 10. Let a be q(-9). Let l be (2 + -21 - 3) + a. Let x be -3 + ((-30)\/l - -1). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/q)\/q*q**(2\/13)*q*(q*q*q**(-1\/3))\/(q\/(q\/((q\/((q**2\/q)\/q*q)*q)\/q))) assuming q is positive.\nAnswer: q**(-241\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -338 and -184 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/24 + (-7)\/(-4). Let r(v) be the first derivative of -o - 3*v + 3*v - v**3. Let y(b) = b**2. Give r(y(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/60 + u**4\/12 + u**3\/2 + 3*u**2. Suppose b = -5*r - 23, -4 = 2*r - 5*b - 11. Determine s(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -233084 and -233082 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 16503310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -96*z**2 + 19*z + 45. Calculate n(-3).\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-300)\/(-136)) - (-175)\/(-105).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -3.\nAnswer: -14, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 2a018?\nAnswer: -2a037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 945187\/7 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14871 - 14870. Sort l, -5, -4, -0.2, -333 in decreasing order.\nAnswer: l, -0.2, -4, -5, -333","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618.049 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, 2.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + f**3 + 5 - 14*f**3 + 0.\nAnswer: -13*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:51 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**3*z**3 - 728*m**3 - 45722*m*z**3 + 131*m wrt z.\nAnswer: -24*m**3*z**2 - 137166*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 25*i + 6. Let z be n(6). Solve z = x - 5*g - 16, 0 = 2*x - 7*g + 4*g - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -39*g + 353. Let i be m(9). Solve 275 = i*o + 269 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211896*h = 211871*h - 275 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5912533 is divided by 17039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/1 - 7\/(504\/354). Let o(c) be the second derivative of 0 - q*c**4 + 0*c**3 + 0*c**2 + 3*c. Let w(x) = -2*x. What is w(o(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11 = 2*z + 6, -4*s = -z - 21. Suppose y + 8 = 2*h, s*y - 6 = h + 2*y. Calculate the least common multiple of h and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 47849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 12:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 3279 + 316 - 1132 = -81*w for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2) - 1\/(-2). List the prime factors of 7\/(i + 2 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + a = 5, -6 = f + 5*a + 14. Suppose 0*l = -f*d + 2*l + 15, 0 = -2*d - 5*l - 23. What is the nearest to d in 0.3, -2, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/5 - 34*h\/5 - 64\/5 = 0.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/(-429))\/(1\/(-4)))\/((-4)\/26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 - b - 10*b**4 - 324 + 3*b**4 + b**4 + 78 + 109*b**2 wrt b.\nAnswer: -60*b**2 + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b**2 - 3*b - 13. Let m be z(4). Suppose -22*r + 13 + m = 0. Is 8 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(-3\/5)))\/k*k)\/k)\/k*k**9 assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 + 5. Let u be a(0). Suppose -2*i + 94 = 2*x, 0 = -u*i + 2*i. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21553 times 1037\nAnswer: 223.50461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(2) + sqrt(12)) + 1 - (2 + ((sqrt(72)\/sqrt(2))\/sqrt(12) + sqrt(3) - sqrt(3)))*-4.\nAnswer: 13*sqrt(3)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Suppose 4*k + 9 = k. Let u(r) = 4*r. Let b(h) = k*n(h) - u(h). Let y(s) = 0*s**2 - 2 + 2 - 3*s**2. Give b(y(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 2*v**3\/3 - v**2\/2 - 19*v. Let j be r(2). Solve -3*k + j = 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 + 2 - (3 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 3636.\nAnswer: 18180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 0, 0*m - m + 4*j = -8. Let y = 1.1 - 0.2. Let a = y - 5.9. Put a, 0.5, m in decreasing order.\nAnswer: m, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 2*c**2 - c**2 + 71 - 446.\nAnswer: -3*c**2 - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/42 and 113\/36714.\nAnswer: 256998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 27 + 13 = 0. Let y = b - 4. Suppose -4*x + 10 + y = 0. Calculate the highest common factor of x and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5777.\nAnswer: 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1036*x - 1031*x - 435. What are the prime factors of x?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:01 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22098 is divided by 166?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 639\/(-497)*(-8)\/18 + -1 - 256\/56?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 53. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 15 - (-102 + 93).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59b5 (base 15) in base 10?\nAnswer: -19070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73756620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -159462 and -232.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -58515, 9, 7 in decreasing order.\nAnswer: 9, 7, -58515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Suppose -4*w = o - 459, -358 - 5 = -3*w + 3*o. Let d = -112 + w. Let x(c) = d*c + 5*c - c - 3*c. Calculate n(x(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r + 3*r - r)*(-1 + 1 + 2*r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 312 - o + o - 322 - 3*o. Let j(a) = -2*a + 4. Let v be j(4). Let s be g(v). Solve -9 = 5*q - m, 1 + 5 = -2*q - s*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a = 164, -f + 585 = -4*a + 529. Calculate the greatest common divisor of f and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80, -84, -88, -92, -96?\n\"Answer: -4*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-398176)\/(-9956))\/8 - 5. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(1\/(-3) + 1). Suppose v*z = 5*z - 1650009. Suppose -r + q = r - 220001, -3*q - z = -5*r. Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 164 = 4*n, -2*q - 4*n + 167 = 67. Suppose 2*v = 3*v - 132. What is the greatest common factor of q and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:49 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*z - 7. Let u be 15\/5*(-6)\/(-9). Factor 0*a**u + 0 + z*a - 1\/4*a**3.\nAnswer: -a**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {s: 1, r: 1, o: 1, y: 2, q: 2, d: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17561\/4 + -4468. Which is the second biggest value? (a) -2\/11 (b) x (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*a = 67*a - 146*a + 11310 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23997195, -23997198, -23997201?\n\"Answer: -3*z - 23997192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlnmlllmlllmn. What is prob of picking 1 n and 3 m?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 2. Let t be 5*(-2)\/(0 - -2). Let c(v) = -v + 1. What is t*f(i) - 8*c(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*((-6)\/5)\/((-10)\/(-25)). Let k be (-21)\/(-27) + -1 - (-33)\/r. Let h be (k - 2\/(-9)) + (-6 - -5). Sort 0.5, 2\/3, h in descending order.\nAnswer: 2\/3, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 - i**2)*(-3*i**3 + 73*i**2 - 73*i**2)*(0 + 0 - 1).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 4590*t + 40905.\nAnswer: 5*(t - 909)*(t - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:25 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - y - y**3 + 7 - 5*y**3 + 2*y**2 to r*y**3 + i + z*y + t*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 64. Suppose 3*h - 3 = -3*g, -5*g + c = -2*h + 4*h. Suppose -3*n - 5253 = -2*r + 5*r, 2*r + g = 0. What is n rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 5*l**2 - 4*l + 7. Suppose -i + 3*i = 3*m + 10, -14 = -3*i + 4*m. What is the remainder when 63 is divided by q(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.4 plus 195136.916?\nAnswer: 195220.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 8. Let k(d) = -d**3 + 13*d**2 + 30*d. Let h = 54 - 39. Let t be k(h). Give r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -1363419?\nAnswer: -20\/1363419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*3 - sqrt(567).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5\/7))\/(d\/d**(5\/7)))\/(((d*(d*d\/(d\/d**9*d)*d*d*d)\/d*d*d)\/d*d)\/d**(1\/2)) assuming d is positive.\nAnswer: d**(-169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 4. Let b(u) = -u + 3. Let y(s) = -4*s**2 + s - 1. Let m be y(1). Let j be 3*((-1)\/1)\/(-1). Let w(o) = j*b(o) + m*z(o). Calculate w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101448155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/28)\/((-6)\/8). Let v = -69.0946 + 70.0946. What is the nearest to -2 in s, 0, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -811 + 982. Let j = 170.96 - p. Is -10 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11798 by -347.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 8 + -1 + 1. Suppose -w = -0*f - f, 3*f = 4*w + o. What is the second smallest value in 4, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1236 + 0.0064. Let y = t + 0.87. Put 2, y, 0.05, 0.1 in increasing order.\nAnswer: 0.05, 0.1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088295060 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 18 + 11)*(-5*p**4 + p**4 + 2*p**4) to s*p**4 + n*p + y + l*p**2 + d*p**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let q(m) = 8*m**2 - 2*m + 6. Let s = 29 + -27. Let c(l) = s*w(l) + q(l). Differentiate c(i) with respect to i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -8, 2, 29 in ascending order.\nAnswer: -8, -5, 2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9879121 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1159, -1220, -1273, -1312, -1331, -1324, -1285, -1208?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a85b + 9?\nAnswer: -1a852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 809225*k\/3 + 654845100625\/6.\nAnswer: (k - 809225)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/5)*r*r\/(r*(r**(8\/3)\/r*r*r)\/r))\/(r**(-12)*r*r**21*r) assuming r is positive.\nAnswer: r**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - -2. Suppose -5*j + 2*j = -36. Calculate the highest common divisor of m and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 7*n**2 - 6*n - 8. Let k be s(4). Let z be k\/(-2) - (-5 + 3). Suppose 3*r + 5 - z = 0. What is the remainder when 24 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000449476672 rounded to 7 decimal places?\nAnswer: -0.0004495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 723729b3 - -1?\nAnswer: 723729b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -1429*g**6\/40 + 1076*g**3 - 4682*g**2. Differentiate f(c) wrt c.\nAnswer: -12861*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -160, -657, -1486, -2647, -4140, -5965?\n\"Answer: -166*a**2 + a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-924))\/(14\/(-168))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i - 4. Let p be 1 + -1 - 9\/((-9)\/4). Calculate w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2737 - 1268. Suppose -3508 = -9*n + t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 - 485*l**2 + 2520*l - 3060 = 0. What is l?\nAnswer: -102, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + d - 17 = 0, 2*b + 5*d = 22 - 2. Suppose i + 360 = b*i. Suppose -3*u = -0*u - i. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/261 and 97\/8236?\nAnswer: 74124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.94 - -11. Let h = s - 0.0585. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6741, 1830, -3 in ascending order.\nAnswer: -6741, -3, 1830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 24*v - 9. Give p(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 4 + -4 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/93215 - 1768589\/77554880. Find the common denominator of 113\/1040 and u.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.61, 5, -2.9, 0.2, -4 in descending order.\nAnswer: 5, 0.2, -1.61, -2.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8977 is divided by 1227?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*y + 7*y**2 + 2 + 91*y - 9*y**2 - 2*y**3 - 6*y to b*y + t*y**2 + f*y**3 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -5 (c) 2.503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g + 2 + 4*g + g + 3*g + 0*g - g + (g - g - 3*g)*(1 + 1 - 1) + 6*g + 10*g + 50*g.\nAnswer: 62*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*j**4 - 193*j**3 + 497*j**2 - 496*j**2 + 14*j**4 in the form b*j**4 + o*j**3 + k*j**2 + g + s*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1789, 4\/3, -0.748 in ascending order.\nAnswer: -1789, -0.748, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbn when four letters picked without replacement from nnbsnbnbnbnbnb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -22*v - 4*v. What is the highest common factor of 12 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8691 = f, -2*f - 3*w + 6319 = -11083. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 - -2123. Suppose 11*k + n = 12*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o - 15\/2*o**2 + 6. Does 5 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f = -43759 - 1808. Calculate the greatest common divisor of 1281 and f.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 78341098179104?\nAnswer: -78341098179104.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h - 8*h + (-107 - 10 - 22)*(-4*h + 3*h - 3*h) to p + o*h and give o.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-2)\/(-4))*2. Let x(s) = -5*s - 8. Let m(v) = 2*v + 4. Let h(r) = -13*m(r) - 6*x(r). Let n be h(2). Solve 3*l + n = b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f)*(17 - 18 - 14)*(-2553 - 1209 - 77 + 1271).\nAnswer: 38520*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413057335.\nAnswer: 5, 199, 415133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 329980 and 21560.\nAnswer: 50816920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-33))\/(y\/(y\/(y*y*y**(-30)*y))*y)*(y**(-25)\/y)\/y**(-5\/6) assuming y is positive.\nAnswer: y**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -33*d - 72. Solve r = 5*w - d, -2*r - 2*w + 9 = -w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1722587*a**2*s**2 - 5*a**2*s - a**2 + 14*a*s + 22*a - 3 wrt s.\nAnswer: 3445174*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**5\/10 + 12*p**4 + 48*p**3 - 1920*p**2 + 9600*p - 2296. Determine l so that s(l) = 0.\nAnswer: -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -7*c + 4*c + 60. Suppose 0 = -z + 6*z. Solve x - 2*x + c = z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 73 = 51*c - 645. Suppose 0*h - y + 37 = 3*h, -y + 63 = 5*h. Suppose -c*r = -h*r - 378. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 6*g + 2*g)*(3*g - 3*g + g**2) + 0*g + 160192 - 160190 + 4*g**2 - 5*g**3 - 4*g.\nAnswer: -2*g**3 + 4*g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 - 202234*c + 14368696 = 0 for c.\nAnswer: -101188, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(209)*5*-3)\/(sqrt(396)\/(sqrt(45)\/sqrt(5))))**2*3*-2.\nAnswer: -230850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2\/11, 0.11, -40, 57265?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -103*w - 1852. Let d be c(-18). Solve 3*j + d*p = -17 - 11, -5*j = p + 35 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 27. What is the remainder when 66 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-154 + 675 - 299)*(5*c - 3*c + 0*c) as z + o*c and give o.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 12. Let g be (-14 - -7)*(-9)\/n. Suppose 2*v - g = -a - 2*v, -v = 2*a - 56. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9657 divided by -79.\nAnswer: -9657\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-98)\/(-25))\/((-15)\/(-75)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 38 = d + 2*h, -3*h = -15. What is the highest common divisor of 84 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 20 + 12 + 4 + 4.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219115008 divided by -576.\nAnswer: -380408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 - 32 + 72 - 7*s**2 + (0*s + 0*s - 2*s)*(-35*s + 19*s - 20*s).\nAnswer: 65*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161.1277 to the nearest ten.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*b - 55, -3*u - 4*b + 65 = -8*u. Let d be (-1408)\/(-4188) + 3\/u. Let y = 5231\/1396 + d. What is the common denominator of 47\/7 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -90, 7, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -3\/5, -5, 2, 0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 5. Let x(b) be the third derivative of -5*b**4\/24 - 10*b**3\/3 - 58*b**2. What is 9*t(h) - 2*x(h)?\nAnswer: h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-13) - (-1)\/(-1) - -6. Calculate the greatest common divisor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35528591\/66 - -538324. Let u = 4711\/30 + -726\/5. Let g = u - x. Which is the biggest value? (a) -5 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 9*s**2 - s - 3. Let m be h(9). Let i = 26 + m. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2. Let u(q) = 2*q - 1. Let l(j) = 28*j**2 + 616*j - 308. Let v(o) = -4*l(o) + 1232*u(o). Give b(v(c)).\nAnswer: -37632*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3084161 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56118, -56119, -56122, -56127, -56134?\n\"Answer: -d**2 + 2*d - 56119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 1449302\nAnswer: 2173953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q**3 - 99*q**2 - 7*q - 106. Determine f(9).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/30*2\/(-7)*3. Let d(q) = -2*q - 14*q**t + 25*q**2 - 13*q**2 + 3. Calculate d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22139.8 + 22139. Put m, -5, -23, -3, 4 in descending order.\nAnswer: 4, m, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -26 + 12 + (14 - 13) + 0 + 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -19*j + 6*j. Let f be 20\/(-14) - (-2 + 0). Sort f, j, -5 in increasing order.\nAnswer: -5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:56 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from lggllllllllllg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 34*o - 12*o + 72 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + s - 5*s)*(5 + 1 - 2)*(0 - 2 + 0) in the form a*s + m and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.05 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k + 14. Let u(o) = o. Determine -c(i) + 8*u(i).\nAnswer: -2*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 273, 250, 197, 102?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 32 = -4*a - 4*p, -4*a + 4*p - 40 = 0. Suppose 0 = 3*z - 15, -29 = 2*g - 5*z. Let t be (a - (-4 + -4)) + (g - -1). Solve 0 = t*b - 0*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t + 3. Let j be l(-1). What is the tens digit of 36\/j*(-126)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*p - 14, -g - p = 3*g - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-54)\/8)*165\/(-110).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**3. Let p = -13 - -9. Let z(g) = g**2 + 2*g + 3. Let w be z(p). Let j(v) = 5*v**3. Give w*j(a) - 4*q(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -203*r**2 - 24*r - 12. Let n(g) = -g**2 - 3*g - 2. What is -j(x) + 6*n(x)?\nAnswer: 197*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 3 + 2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 286*u**3 + 286*u**3 - 2 - 520*u**3 to the form o*u**2 + p*u**3 + t*u + z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 27423055?\nAnswer: 27423056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 440\/108)\/((-7)\/42)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, u: 10, v: 2}. Give prob of sequence ss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3246, -3291, -3330, -3363, -3390?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddpp when four letters picked without replacement from {d: 15, p: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.119 - 999.4599.\nAnswer: -999.5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)*(-2 + 2 - -4). Let n(c) be the first derivative of -5\/4*c**d + 0*c**2 + 0*c**3 - 2 + 4*c. Differentiate n(f) with respect to f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j - 17064 = -124*j - 129*j + 552*j for j.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3530 is divided by 223?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. Let l = 6\/41 + -5471\/123. Let g = -44 - l. Which is the closest to g? (a) 2 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300)*2 - sqrt(1300))) + -1 + sqrt(325) + sqrt(325) + 1*sqrt(325) + 5)*-2)**2.\nAnswer: 420*sqrt(13) + 63709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1045.997 * -5\nAnswer: 5229.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14795 + 14799. Solve 0 = -5*b + i*j - 24, 25*b + 2*j = 28*b + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5459733, 10919489, 16379245?\nAnswer: 21839001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143240, 565346, 1268862, 2253794, 3520148, 5067930, 6897146?\nAnswer: 9007802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -73fa1b (base 16) to base 12\nAnswer: -266664b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3069 + 1793 - 1915 - 3974)*(4*t + t - 2*t + t + 0 + 0 + (1 - 1 - 1)*(2*t + 0 + 0) - 3*t - 2*t + 3*t + 2*t - 3*t + 3*t).\nAnswer: -14330*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. What is the units digit of m\/6*0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6889*s**3 - 1345*s**3 - 2703*s**3.\nAnswer: -10937*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*h**3 - 9*a**3*h*j**2 - 61*a**3 - h**3*j**2 - 2*j**2 wrt j.\nAnswer: -18*a**3*h*j - 2*h**3*j - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 6. Determine h(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -122\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(140\/(-15))\/(-14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 378.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -1.9. Is a <= -3\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-3)\/((-45)\/19). Let p = 3454\/45 - 626\/9. Let s = f + p. What is the smallest value in 1, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822 a factor of 1660051819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - (-25298)\/273)*(-3)\/85?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 38*n**2 + 312*n - 125. Let g be v(-45). Let o(s) = 7*s - 33. Give o(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/115 or -1?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 30.8108um?\nAnswer: 0.0000308108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3678, -8231, -12784, -17337?\n\"Answer: -4553*m + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*g**3 + 221*g**3 - 3*g - 448*g**3 + 2*g.\nAnswer: 5*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 246, 498, 750, 1002?\n\"Answer: 252*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2587.500017951 - -2587.5. What is m rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(0\/(-2) + 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162243 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*u + 15*c - 14*c, 5*c = -2*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/28 and -25\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**3 - 4*f**2 - 19*f - 27. Let s(w) = 8*w**3 + 4*w**2 + 20*w + 28. Let l(j) = 7*m(j) + 6*s(j). What is the hundreds digit of l(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 0)) + 0 - (3 + sqrt(252)*-2))**2 - ((sqrt(28)\/(sqrt(20)\/sqrt(5)))**2 + sqrt(175) + 1).\nAnswer: -77*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2339253 + -14994611693\/6410. Find the common denominator of b and 27\/14.\nAnswer: 44870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) -49 (c) 1\/13 (d) -0.3 (e) 0.62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00165624 to five decimal places.\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 46*v**2 + 173*v + 1619. What is the remainder when h(-9) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 1. Let k be s(0). Let y be (-2)\/16 - (-259)\/(-296). Is y >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*g - 36, -504*g + 505*g - 5*m = 21 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1674 divided by -37875.\nAnswer: 558\/12625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 14*i - 11. Let n be h(-9). Suppose o + n = 3*o. Calculate the highest common factor of 187 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 561 + -561. Suppose 16*d - 15*d + 47*d = s. Solve 4*z + 3*p + 20 = d, -z - p = 4*p + 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 14*j**3 + 43 - 43)*(6*j - 3*j - 2*j).\nAnswer: -2*j**5 - 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 77621 (c) 3\/8 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.11906105 to 2 dps.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.264158 kilometers?\nAnswer: 1264158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 154527 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111, -1460, -2807, -4152, -5495?\n\"Answer: s**2 - 1352*s + 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 90?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 27 - 8 = p, 3*w = -9. Let v(u) = 2*u + 4. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -48633\nAnswer: -1\/3741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 282*r**2 + 58*r**2 - r - 49*r**2.\nAnswer: 291*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = 3*u. What is the third derivative of 3*x**6 - 15*x**6 + 10*x**u + 11*x**2 + 9*x**6 wrt x?\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*w**2 - 40 + 40)*(-1 + 1 + 2*w) + (4 - 4 - 2*w)*(-3*w**2 + 3*w**2 - w**2) to the form h*w**3 + n + z*w + q*w**2 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, d: 1, l: 1, v: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 75 - 36 - 35 - o. Suppose 2*l = 7*l - 25. Calculate n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(12\/5)\/((y\/((y**5\/y)\/y))\/y**(-3\/5)) assuming y is positive.\nAnswer: y**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-21) + (-2)\/7. What is the third derivative of -3*q**l - q**2 + q**2 + 3*q**6 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178 is divided by 167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - (-105)\/20. Suppose 4*x - 12 = 2*n - n, g*x - 15 = -5*n. Is -1\/9 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:30 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + -1 + sqrt(19)))**2 + -4 + sqrt(2736)*2 - (sqrt(152)\/((sqrt(8) - (sqrt(24)\/sqrt(3) - sqrt(8)))*5) + 5 + sqrt(19) + 4 + sqrt(19) + sqrt(304)).\nAnswer: 239 + 359*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -0.215413\nAnswer: -17.215413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -76. Suppose -3*d + h = 2*a, 2*d - 80 = -4*a + 3*d. Suppose r + a = 88. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2091203, -2091210, -2091223, -2091242, -2091267, -2091298, -2091335?\nAnswer: -2091378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.1999989. What is v rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 34 = 2*u, y - 85 = 5*u - 4*y. Are u and -17 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 5) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.24. Let q = r + -0.14. Let k = 0.3 - q. What is k rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(0*a + 2*a + a) + (2*a - 4*a + a)*(-4 + 1 + 7) + 6*a - 4*a - 4*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 7*h + 7. Let d be s(-6). Let p be (19 - 23)\/(-2) - -2. Solve -p*c + 1 = d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1523*r - 79152. Calculate o(52).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from feveiiuijiiuiviev.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*v**4 + a**2*v**2 - 93944*a*v**5 - 27*a*v - 1389*v**2 - 9 wrt v.\nAnswer: 24*a**2*v - 5636640*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 145. Let g(f) = 2*f**2 + 8*f - 1. Let t be g(-7). Let v = -22 + t. What is the remainder when u is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d. Let f(q) = 46*q**2. Calculate i(f(s)).\nAnswer: 644*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 89. What is the highest common divisor of y and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 74*t + 13. Give i(-37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 129.7 (c) -4 (d) 2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h**3 + 19*h**2 + 14*h - 6. Let o(v) = -11*v**3 + 16*v**2 + 12*v - 5. Let r(m) = 5*f(m) - 6*o(m). Determine r(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 158. Let b = o + 131. Factor -4\/5 - 5*x**2 + b*x.\nAnswer: -(5*x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394299 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1296970 and 41\/1037576.\nAnswer: 5187880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77516*k**3 + 0*k - 77073*k**3 + 0*k.\nAnswer: 443*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 10 = -2*t, 12 = -2*t - 3*s. What is the closest to -0.1 in 0, t, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 39*t**3. Give r(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33263)\/(-1218))\/37 - (-4)\/(-7))*27\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:08 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 23 + 1 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 16. Let u be l(-3). Let t be (-7)\/(-2) - (37 + u). Which is the third biggest value? (a) t (b) -5 (c) 2\/241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 + d**2\/2 + d - 1. Is g(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -54\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1244)\/104 - 35\/(-10)) + 8\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50928 (base 12) in base 4?\nAnswer: 121220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k - 8 = 0. Let d be k*((0 - -1) + 0). Let s = d - -5\/3. Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(3 - 1 + 0)*(5*n**3 - n**3 - n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21188, -20847, -20506?\nAnswer: -20165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-77) + 3690\/112 - 34?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 55 + 67 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3305 + 3309. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 4, m: 2, h: 1}. Give prob of sequence mom.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-7)\/477) - (3 + -6). Let g = -474 + j. Calculate the remainder when 54 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -441 and 0.02.\nAnswer: -8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -7346829.1?\nAnswer: -7346829.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8322 - -17593. Does 73 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 117. Let z(a) = 23*a**2. Give z(n(k)).\nAnswer: 92*k**2 - 10764*k + 314847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let d(i) be the first derivative of 2*i + 125. Let m(y) = y - 22. Let v(z) = -6*d(z) - m(z). What is j(v(p))?\nAnswer: p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 2*g - 3*g as v + p*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 - 4*s - 6. Calculate y(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1870 and 576620.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:18 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a1992 (base 11) to base 16.\nAnswer: -9a514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5475\/450 + -12)*84\/(9\/(-3))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1443546 and 744?\nAnswer: 5774184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21918 divided by -13?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003220447 to 6 decimal places.\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10641 times -5324?\nAnswer: -56652684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 9*z**2 + 3*z + 6. What is h(-8)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 8:37 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 128*f**2 + 4*f + 292. Calculate the remainder when b(64) is divided by 80.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 - 142)*(-3 - 3 + 3)*(-18*z + 8*z - 3*z).\nAnswer: -4953*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/(-80)*30\/(-9))\/(10\/(-16))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 28. Let y be h(-4). Let z be 10*(6\/y + (3 - 2)). Suppose -2*s + 20 = -2*w + 2, 4*w = -z*s + 45. Solve s = -3*m - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2756*l**2 + 420*l - 6. What is the thousands digit of y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 8 in ascending order.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**7 + 0*b**3 + 0*b**6 + 0*b - 1\/60*b**5 + 0 + 6*b**2 + 3\/112*b**8 + 0*b**4. What is the third derivative of x(o) wrt o?\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 - a + 15. Let q(v) = -11*v**2 - 2*v + 23. Let m(k) = 8*j(k) - 5*q(k). Let x be m(4). Is (1\/x)\/(13\/(-1911)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -122?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.9999902. What is j rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.51 - 0.41. Let m = 217 - 219. What is the closest to m in -5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/332 and 59\/4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 - 18*v**2 - 5*v. Calculate i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 + 360*o**3 - 335*o**2 - 1440*o + 1420 = 0.\nAnswer: -2, 1, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1530364*d + 1530364*d - 259*d**2 - d**3 in the form r*d**2 + c + y*d**3 + x*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 9*j - 2. Let h be w(10). Let o be 5 + (0 - 1) - 0. Suppose -2*s - h*v + 4 = -o*v, -4 = 2*v. What is the least common multiple of s and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 83. Let y(m) = -m**2 + 18*m - 19. What is the remainder when y(s) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 751076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41881, 41761, 41425, 40765, 39673, 38041, 35761?\n\"Answer: -18*y**3 + 6*y + 41893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 195*y + 35 - 17 as b + d*y and give d.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.415, -3\/5, 2\/11, -3, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (2 + sqrt(3))**2 + 5 - (sqrt(18)\/sqrt(6))**2*6.\nAnswer: -6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 5. Let s be x(-4). Let a(j) = -j**2 - 4*j + 142. Let w be a(s). Calculate the greatest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 0.2 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - -5 - -4) + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.557 - -1.591. Let z = o + -0.534. Sort -2\/11, -1\/3, z in ascending order.\nAnswer: -1\/3, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 6*t - 3. Let k be b(-7). Let w(f) = 2*f - 2. Let o be w(-4). Let i = o + 30. Solve -k*s = i, -11 = -3*l + 3*s - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 38, 52, 66, 80, 94?\n\"Answer: 14*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**1)\/z)\/z)**(15\/4))**(-10\/3)*(z\/(z\/(z\/((z*z**(1\/3))\/z)*z)))**(2\/125)\/(((z\/(z*(z**4\/z)\/z))\/z)\/(z\/z**5*z)) assuming z is positive.\nAnswer: z**(1877\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2. Let p(c) = 84*c. Determine n(p(j)).\nAnswer: 35280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144185997?\nAnswer: 3, 409, 117511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 51\/562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/30 + 47*l**4\/12 + 46*l**3\/3 + 830*l**2. Factor x(o).\nAnswer: 2*(o + 1)*(o + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m, -h + 0*h + 2*m + 2 = 0. Let x = -1.33 - 0.17. Let t = 2.5 + x. Which is the closest to h? (a) -0.1 (b) 1\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3854020 and 171217.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22685549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16953, -135176, -456007, -1080750, -2110709?\n\"Answer: -16884*z**3 - 35*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2. Let b(t) = 12*t. Let p(d) = -13*d. Let y(j) = 3*b(j) + 4*p(j). What is y(v(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose -z*h + 115 = 2*h. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7473 and 2562603?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -47*h**3 + h**2 - h + 1. Let x be c(1). Let u = x + 49. Suppose -u*d = -8*d. Solve -2*g - 6 - 4 = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-21)\/39))\/(-31*158\/(-14694))\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 7, f: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76956 - -76954.00015. Let w = 1.96 - -0.04. Let u = w + h. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqqqf.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-244)\/98 + 3)*40726\/(-5818)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t - t**2 + 2 + t + 7. Let b(p) = p + 1. Let c(d) = -6*b(d) + n(d). What are the prime factors of c(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigggiggggggg. Give prob of sequence igi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(108).\nAnswer: -18*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 17082.\nAnswer: -17070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45*0.15\nAnswer: -6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(6))\/(sqrt(20)\/sqrt(4)*-2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*r - 3*b, -592*r - 5*b = -593*r + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111591, 111647, 111753, 111921, 112163, 112491?\nAnswer: 112917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -347827 divided by -137\nAnswer: 347827\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -1.01. Let m = -1.3 - i. Let b be -2 + (-68)\/(-36) + 50\/126. What is the nearest to 0.6 in b, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 6*v + 12. Let h be t(8). Let s be (2\/h)\/(6\/(-4) - -1). What is the units digit of 1 - (-9 - 6) - s*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1312.9 + 1313. Which is the closest to n? (a) -11 (b) 1\/41 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 4*c - 1. Let m be x(0). Let t = 0.84 + -0.64. What is the biggest value in 10, m, t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 15. Let a = -5.8 + z. Put -5, a, 2\/5 in descending order.\nAnswer: 2\/5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -12 in descending order.\nAnswer: 4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + (537795\/(-36))\/17. Let t = r + 1820. List the prime factors of t.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 131\/2. Let p = 0.3 + -0.2. What is the third smallest value in 2, p, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (4 - (-12)\/(-4) - 3). Let x(a) be the second derivative of 11*a**5\/20 - a**3\/6 - 2*a. What is x(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -8)*10\/30. Suppose 5 - v = -3*r. What is the nearest to r in 2\/3, -5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.92 rounded to the nearest integer?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/15 - 2)\/((-1248)\/120 - -10). Which is the closest to -4.976? (a) -0.2 (b) i (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 3?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 8*x**6\/15 + 31*x**4\/12 + 38*x. Find the third derivative of a(g) wrt g.\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*87\/((-2001)\/1564)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/490*-14)\/(-4*1\/(-760)*4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*t - 153*t + 2445 + 3820 - 62 to the form n + i*t and give n.\nAnswer: 6203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*z + 12, -j - 4*z - 7 = 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59211529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25996208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54606 divided by 958?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - j**3 + 4*j**2 + 5*j - 3*j**2 + 2 - j to the form w*j**2 + i*j + k*j**3 + l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.35. Let j = -45.05 + 45. Let l = g - j. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315453?\nAnswer: 7, 67, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145799 + 1312189\/9. Let w = 4691\/92 + -51. Let p = 6\/23 + w. What is the nearest to -0.01 in 1\/11, p, v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d + 0*d + 2*d + 0*d + 1 - 1 - 2*d + d - 3*d + d + (-5 + 3 + 3)*(-2*d + 0 + 0) + d + 4*d - 4*d)*(-7 + 5 - 10)*(-2*d - 2*d + 3*d)*(0 - 1 + 2).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -61*h + 4. Let r be z(-3). Does 23 divide r + 36 + (-10)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393332811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t - 8 - 17*t + 20*t + 7*t**2 + 3 - 2*t**2. Let h(n) = 2*n**2 + 8*n - 3. Let k = 6 + -3. Let l(c) = k*s(c) - 7*h(c). Determine l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - -0.93. Let p = 0.4 - 0.1. Let v = 0.2 - p. Put -1, i, v in decreasing order.\nAnswer: i, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.134023 * 0.3\nAnswer: -3.9402069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*d - 2*d, -3*b + d = 14. Let a be b + 2 + (-26)\/(-8). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/39)\/(1048\/(-1048)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 114. Let l = 46 - z. Let h(f) = 2*f**3 - 3*f**2 - 2*f - 1. Give h(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189456*g**2*q**2 - 69*g*q**2 - 3*g*q + 3*q**2 - 5 wrt g?\nAnswer: 378912*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6\/(-21) - (-480)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314037, 1256071, 2826105, 5024139, 7850173, 11304207?\nAnswer: 15386241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136))\/(sqrt(288) - (-2*sqrt(288) + sqrt(288))).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + 116\/10. Let q(i) = -i**3 - 5*i**2 - 5*i - 7. Suppose -2*l - 16 = -6. Let t be q(l). Calculate the highest common divisor of t and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8460729146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/5 + 78*b**3\/5 + 2589*b**2\/5 - 21996*b\/5 - 17388 = 0. Calculate b.\nAnswer: -23, -3, 10, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 5*f**3 + 8*f**3 + 0 - 2. Let d be s(2). What are the prime factors of 8\/(-12) - d\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3\/4 (c) -2 (d) -2709 (e) -1\/6 (f) 56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/3 + 4187*y. Let n(h) = -2*h**2 - 2*h - 145. Determine z(n(v)).\nAnswer: 4*v**2 + 4*v + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1438 (b) 1 (c) 8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -383 and 306925.\nAnswer: -117552275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10686 and -0.1.\nAnswer: 10685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + m - 1. Let b be s(1). Suppose u + 4*u - w = b, 5*u + 4 = -w. Suppose u = -c + 4*c - 27. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1367\/7 + -195. Let v = -889.0248 - -0.0248. Let s = -886 - v. What is the third smallest value in -4\/7, s, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -84, -128, -172, -216, -260?\n\"Answer: -44*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25253625?\nAnswer: 3, 5, 67343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -475 - -508. Solve 5*o + c = 2*x, -5*o - 24 = 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(12)\/sqrt(3)) - sqrt(19)) + sqrt(475) + 5)**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 54920060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616 + -444. Calculate the remainder when i is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6006*v**2 + 2929*v**2 + 3013*v**2. Let w(g) = 12*g. Calculate w(o(c)).\nAnswer: -768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsssxxsxsssxs. What is prob of sequence sx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n**2 - 43*n - 20. Let v(g) = 29*g**2 - 125*g - 57. Let p(f) = -17*h(f) + 6*v(f). Let a(r) = 2*r**2 - 10*r - 1. What is -7*a(w) + 4*p(w)?\nAnswer: 2*w**2 - 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (22 - 17) - (2 + (-2 - 11))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89\/((-5607)\/2664)*49\/14\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3768 - 3747. Solve q - z = -19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18064529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -135865636 to the nearest one million.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 71*y + 12 = 67*y, -3 = -g + 2*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -c*r + 3 + 5 = 0. Solve -2*o - r = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012934 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004949787035 rounded to 5 decimal places?\nAnswer: -0.00495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1164612 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -7\/147339?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 1. Let u(n) = 6*n + 9. Give 3*l(a) - u(a).\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -25*p**5 + 2486985*p**4 + 1492235*p**3 - 3481785*p**2 - 1492210*p + 994800 = 0.\nAnswer: -1, 2\/5, 1, 99480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**2 - 7*a + 5. Let p be y(5). Let r = 461 - p. Calculate the highest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000691468 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 2. Let v be n(4). Suppose -6 = -0*i - v*i. Find the second derivative of -2*l**2 - i*l**2 + 2*l + 4*l**2 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 7*l**2 - 7*l + 7. Suppose -5*q + 6 - 36 = 0. Calculate the remainder when y(q) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**3\/2 + 3165*j**2\/2 + 17910*j - 128800 = 0.\nAnswer: -16, 5, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*h - 448 = -4*l, 0 = 4*h - 4. Let v(z) = z**2 - 4*z - 3. Let x be v(5). Let b be (8\/4)\/x - -73. Calculate the highest common divisor of b and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 1 + 7 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-81)\/(-63)*5\/(-3). Let y be (-1 + -1)\/(2\/3). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 + 6*h - 4. Let d be n(-5). Suppose m = -14 - 8. Let a = d - m. What is the greatest common divisor of 117 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 26*w**2 + 6*w + 67. What is the hundreds digit of x(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -686*p**4 + 2799*p**2 + 3527*p**4 - 159 + 45 + 45 + 70 wrt p.\nAnswer: 68184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3883a3 + 3?\nAnswer: 3883a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641552869?\nAnswer: 23, 27893603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 1. Let y(v) = -v**2 + 3*v. Calculate 3*a(h) - 2*y(h).\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 2*o + 27. Let y be p(-4). Let m(d) = -6*d**2 + 3*d**2 + 3*d**2 - y*d - 3 - 3*d**2. What is m(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 906\/(-45) - (-32)\/(-2640)*-11\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, a: 3, v: 5, s: 2, r: 1}. Give prob of sequence vvsa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 2.1. Let r = -0.07 - 3.93. What is the third biggest value in f, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g - 131. What is u(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 + 26.1. Which is the biggest value? (a) k (b) -1\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -65*i**2 + 48*i + 96. Let z be u(-3). Which is smaller: -630 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: What is the smallest common multiple of 183378 and 130?\nAnswer: 916890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/2 - 4*h**3\/3 + 16*h**2 - 14*h - 154. Is u(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from {b: 2, k: 2, x: 2, q: 2, f: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofofo. What is prob of sequence ofof?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**(-4\/9)\/s)\/(s\/s**(-2\/7))**(-43)*(s**(1\/2)*s)**(-6\/7)*s**(1\/7)*s*s*s**(3\/4) assuming s is positive.\nAnswer: s**(12713\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.41019444 + -2.3495.\nAnswer: 1.06069444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.8, -8, 12, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 3, z: 2, a: 3, m: 2, l: 1}. What is prob of sequence aal?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 - 2*n + 17. Let z be q(8). Calculate the highest common divisor of z and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 + 2*x - 7. Let k be m(6). Solve -k - 5 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 - 99 = 88*x - 413 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4 - -1)\/(-1). Let x be 0\/1 + -2 - g. Let k = x - -8. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/3 + k**3\/2 + k**2. Suppose 0 = -5*y + 3*i - 11, -y - 14 = 4*y - 2*i. Is d(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/((-6)\/(-5) + (-217248)\/122640)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*d - 94*d - 2754 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0.5 (b) -2\/5045 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21538, -21581, -21652, -21751, -21878?\n\"Answer: -14*x**2 - x - 21523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/5, 2, -21, -1\/4 in ascending order.\nAnswer: -21, -5, -1\/4, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33063 and 51.\nAnswer: 562071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 199058, 796162, 1791308, 3184496, 4975726?\n\"Answer: 199021*g**2 + 41*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 147?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 227324 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/96*s**6 + 1\/2688*s**8 + 0*s + 1\/48*s**5 + 1\/48*s**3 - 4*s**2 + 5\/192*s**4 + 0 + 1\/336*s**7. Find u, given that r(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7856.236 tonnes in micrograms?\nAnswer: 7856236000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let h(f) = -22*f + 22*f + 8*f**2. What is h(l(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526173.\nAnswer: 11, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 3170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -882 + 4369\/5. Find the common denominator of z and 3*(0 - (-40)\/(-36)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**4 + 10 - 10 + 2*r**4 + r**4 - r**4 + (3*r**2 + 0*r**2 - 2*r**2)*(-1 + r**2 + 1) - 38*r**4 - 4*r**4 + 8*r**4.\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*w**2*x**3 - 28*a**2*w**2*x**2 + 2*a**2*w**2*x + 39*a**2*w**2 - 1059*a*x**3 wrt x.\nAnswer: -12*a**2*w**2 - 6354*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*i**4 + 9 + 42 - 47*i**4 - 5 wrt i?\nAnswer: -228*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 + 31*h - 290*h + 119 in the form g*h + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8335003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2537.1564*-5\nAnswer: -12685.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*t - 40, -5*t + 10 = m + 4*m. Let k = m - 9. Let x = 73 - 76. Is x at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1608)\/(-144) + (6 - 1 - (15 + -10)).\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z - 24750 = -z. Calculate the highest common factor of 1800 and z.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u - 9*u - 2*u + 821*u**2. Let x be f(-1). Let y = -6565\/8 + x. Find the common denominator of -7\/10 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x = 35*x - 26*x + 261 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) + sqrt(153) - sqrt(153) - (-2*sqrt(1088) + sqrt(17))) + 5 + sqrt(17) + sqrt(51)\/sqrt(3)*-6)**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {k: 3, b: 3, l: 1, p: 4, a: 2, u: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62552 is divided by 31264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 53*s - 576. Determine t(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -5 - (-13 + -1 + -3 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/84801 and 20\/91.\nAnswer: 7716891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 251*i**3 + 245*i**3 + 4 - 494*i**3 - 5*i - 5. Let c(h) = h. Suppose -5*f + 7 + 3 = 0. Determine f*c(n) + q(n).\nAnswer: 2*n**3 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.778474 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/559 (b) 6 (c) -3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 440984629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.3 (c) 283 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*7*(-24)\/224.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183.7 + -182.869. What is j rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 3. Let y(d) = d**2 + 5*d - 4. Let m be y(-6). Let x be q(m). Suppose -t + 4*k = -7 - 7, -t - x*k = 7. Let r(n) = -2*n**2 - 2*n + 2. Give r(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 9770750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 27*r**2 + 11*r - 13. Give c(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-148)\/(-1702)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5012*o + 35103. Determine x(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s - 2. Let i be 1 - (2*-1 + 9). Calculate the remainder when 2 is divided by (3\/i)\/(s\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/120*3354\/(-104)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = -4*i + 72 for i.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3208*j - 4845. Let x(i) = -16002*i - 24226. Let v(s) = 2*x(s) - 11*z(s). Differentiate v(d) wrt d.\nAnswer: 3284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - -1*sqrt(2448))**2*-3 - sqrt(2448)) + 0 + -2 + sqrt(612) + -1 + (-1*sqrt(612))**2 + 3 + sqrt(612).\nAnswer: -28764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + 22)\/17 + 1 + 4 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 0.00398.\nAnswer: -5.99602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -90\/73, 1, 2\/7, -0.06, 2\/15?\nAnswer: -90\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -77. Let h(q) = -q**3 + 5*q**2 + 4*q + 6. Let t be h(6). Let n = t + 15. What is the greatest common factor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/44 + (-2)\/8. Let i = 20 + l. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6725 + 3263. What are the prime factors of q?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3525.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -75\/7 (b) -0.3 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 9, -3\/16, -3, 0.5 in descending order.\nAnswer: 9, 0.5, -3\/16, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugu when four letters picked without replacement from wxugygwwgwuxxwywx?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5268 + -31407?\nAnswer: -26139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25385*x**2 - 25383*x**2 - 2 - 2 + 11 + 7 + 6*x**3.\nAnswer: 6*x**3 + 2*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let k = r - 0.6. Let w(j) = -3*j - 1. Let q be w(-1). Which is the closest to q? (a) -0.5 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-1)*(-99)\/99)\/((-3)\/(-21)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*t + 6, 6*t - 8*t + 2 = l. Suppose 44*r + l = 49*r. What is the least common multiple of r and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + -5 - 5)) + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2 - 27*t + 11. Let q(j) = 3*j**2 - 7*j + 3. Let z(g) = 2*m(g) - 9*q(g). Let v = -20 - -27. Suppose -45 = 2*h - v*h. Calculate z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 + 0 = m, -6 = 4*q - 5*m. Suppose 6*i - q = -1. Suppose i = -8*f + 18 + 62. What is the least common multiple of 2 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7477, 7516, 7555?\nAnswer: 7594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 922*q**2 + 4515*q**2 - 5999*q - 9673*q**2 wrt q.\nAnswer: -8472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + (1023\/30)\/(-31). Let s = -1.7 - -2. Which is the smallest value? (a) s (b) z (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/21*(-18)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:15 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/18 + 7*b**3\/36 - 11*b**2\/12 + 3*b + 15. Solve p(u) = 0 for u.\nAnswer: -11\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -30. Suppose -2 = -c + 2. Suppose c + 0 + 8*y**3 - g*y - 4*y**5 - 2*y**2 - 3 + 0 + y**4 = 0. What is y?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 20 = -2*a. Let b be ((-5)\/2)\/((-1)\/2). Suppose 0 = -2*y - 3*y + b*s - 5, -a*y + 3*s = -1. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Suppose s = -5*o - 6 + 1. Are o and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-a + 4*a + 0*a) + (5 - 3 - 1)*(3*a + 6*a + 16*a) - 1 + 1 + 2*a in the form v + x*a and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484607692 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704) + -2 - (-2 + 1 + sqrt(11) + 3))**2.\nAnswer: -42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1184, 2365, 3544, 4721, 5896, 7069?\nAnswer: 8240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 1840 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 0.31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1.3. Let u = -0.02 - -2.02. What is the closest to 1 in 0.1, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by 2\nAnswer: -149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdi when three letters picked without replacement from zztvnizzdvvizzi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*x - 5*x + 18047 = 0, 4*z + x = -18027. Let j = -1\/2769 + 235373\/22152. Find the common denominator of j and z\/(-1008)*10\/(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -86, -123, -156, -185, -210?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*2791112\nAnswer: 11164448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -927 and 0.17496?\nAnswer: -162.18792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -43 + 53. Let o = 3 - -4. Let z(y) = -11*y + 7*y - o + 5*y. Determine z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 3*s**2)*(7 + s**2 - 7 + (s + 0*s + 2*s)*(-s - 2 + 2) - s**2 - 2*s**2 + 13*s**2).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 3 + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 131, 251, 425, 659, 959, 1331, 1781?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/387 and -19\/1215.\nAnswer: 52245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208163739 by 29737677.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1166.3 + -1171.3. Which is the nearest to -656? (a) -0.5 (b) g (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -4, 1, 119 in decreasing order.\nAnswer: 119, 6, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a - -5?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:19 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -4 - (5 - 0)*-1. Suppose n + 138 = h*n - 4*v, 3*n - 2*v = 199. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1527537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/638560 and -99\/2234960?\nAnswer: 4469920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 50 = -124*r + 133*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 35*p + 81. Determine w(24).\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 69033028*f - 595694869356098.\nAnswer: -2*(f + 17258257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -13. Which is the nearest to 1? (a) -0.2 (b) 2\/67 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*y + 6, 3*y + 12 = -4*s + 2. Suppose y*k - 5*k - 5 = 2*d, 1 = -4*d - 3*k. Solve 4*a + 1 + 19 = 0, d*h = 2*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 0*p**2 + 20 + 4\/3*p**3 + 6*p. Let v(u) = u**2. What is v(b(l))?\nAnswer: 16*l**4 + 48*l**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n. Suppose n = 4*d + j + 21, j + 0*j = d - 1. Let x(r) = -8*r - 14. What is the smallest common multiple of x(d) and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1576185 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from njjnjnjjjjjjjjjjjnn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s**3 + 166*s**3 - 53*s**3)*(0*s - 2*s**2 - 3*s + 0*s).\nAnswer: -306*s**5 - 459*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 2*v**4 + 2*v**4 + (-4*v**3 - 2*v**3 + 5*v**3)*(0*v + 3*v - 4*v) - 3*v + 2*v**4 + 3*v - 249*v**4 - 82*v**4 - 67*v**4.\nAnswer: -397*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93, -102, -113, -126, -141, -158, -177?\n\"Answer: -r**2 - 6*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*h = -6*p + 1118, p - h - 284 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*x + 391*x - 1264*x + 416*x.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 69. Let o be q(-9). Suppose -29*r - 2444 = -o*r. What is the second smallest value in r, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 5*y - 1. What are the prime factors of p(-4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302512 + -2?\nAnswer: 302510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:30 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 3*x - 4. Let r be z(4). Find the second derivative of 2*o - 3*o**4 - o**2 + r*o**4 + o**2 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + y**3 - y**3)*(-5*y + 2*y - 3*y + (4 - 4 - 2)*(0*y + 2*y + 0*y) + y + 3 - 3).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8232 - -8235. Let g(o) = o**3 + 9*o**2 - 5*o + 4. Let l(t) = t**3 + 19*t**2 - 9*t + 7. What is u*l(n) - 5*g(n)?\nAnswer: -2*n**3 + 12*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = 224*t - 222*t, 2*t + 10*l = 68 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*u**2*x*y - 64*u**2*y**2 + 2*u**2*y + u**2 + u*x*y + 2*u*y**2 - 4*x*y**2 wrt y.\nAnswer: -128*u**2 + 4*u - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3686*t + 1698669 - 2048839 for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-15) - -2)\/(2\/(-240)). Let x be ((s\/(-9))\/(7\/(-21)))\/1. Let a(f) = 2*f**2 + 28*f + 14. List the prime factors of a(x).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4345 is divided by 434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (8 + -4 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 409?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 + -5 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8713 - -8718. Sort -0.3, k, -13, 1.1, 4\/9.\nAnswer: -13, -0.3, 4\/9, 1.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 4*c**4 + 10*c**4)*(3*c + 4*c - c) + (-4*c**3 + 0*c**3 + 2*c**3)*(2 - c**2 - 2) + c**5 + 0*c**4 + 0*c**4 + 12*c**3 + 7*c**5 - 12*c**3.\nAnswer: 82*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -z + 3, 4*z - 5*d - 15 = -z. Let t(f) = -f**2 - 5*f + 9. Let p be t(-7). Put p, z, 8 in descending order.\nAnswer: 8, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 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: What is the value of (655935\/343585)\/(0 - (-1 - 20\/(-22)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.8 + 0.01.\nAnswer: 14.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 4539577.\nAnswer: 4539577.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77381 and 694.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 13*q**2 - q + 5. Determine g(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337329?\nAnswer: 23, 151, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2723514 + -20?\nAnswer: -2723534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -b, -2*u = 4*b - 9*b - 5. What is the nearest to -1\/9 in -3, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + m = 1356389, -2*r - m = 277283 - 1181541. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6*x + 153. Let p = x + 17. Solve 0 = -2*w - p*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -7 (b) 1\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = r, -5*r + 8 + 14 = b. Suppose b*m - 7 = -5*v, 4 = 2*v + 2*v. Let n be 2\/10*5*m. Let t(g) = -7*g. Determine t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98220 by 30.\nAnswer: 3274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 103, -0.5 in increasing order.\nAnswer: -3, -0.5, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - 21\/(-6). What is the nearest to -1 in 0.3, h, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/2 (b) 0 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and -283885?\nAnswer: 283908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171 to six dps.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.032 (b) 3985 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 84048999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15 - 12 - 3*v - 2*v. Let r(c) = -4*c + 2. Give 5*q(h) - 6*r(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10168461?\nAnswer: 3, 23, 49123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 92622.\nAnswer: 463110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*c = -37*c - 36*c - 4743 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -14) + 42 - (18 - (8 + 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48312351 by -700179.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4612 - 27745\/6. Calculate the common denominator of c and 3\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 + 9*v + 1. Let m be g(-11). Suppose m*x = 26*x. Solve -3*s = 3*n - 7*n - 5, x = 2*n - 2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -0.5, 247?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2\/(-8)*1)*12. Let y(v) = -v - 8. Suppose -f - 1 = 2*x, -9*x + 4*x = 2*f. Let a(b) = x - 5 + 2. Determine p*y(d) - 24*a(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/460 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.3 minus -71.081723?\nAnswer: -347.218277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1793 = -a, -2*t = 4*a - 3*t + 7153. Let g = a - -2580. What is the remainder when g is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -36741 and -36125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.046672 * -1\nAnswer: -0.046672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92 + 10*d**3 + 3 - 16 - 38 to the form w*d**3 + i*d + v*d**2 + u and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3664 - -31.\nAnswer: -3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 26 - 71 = 38. Suppose -3*j = 2*j - r - 25, 3*j + 8 = -4*r. Suppose -4*u + 0*u + 4*m - 20 = 0, -j*m = 4*u - 20. Sort -5, u, f in descending order.\nAnswer: f, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 7*p - 3. Let v be m(6). Let q(h) = -2*h**2 + 4*h - 3. Let y be q(2). Let b be (19 - 1)\/v + y. Solve 2*w = b*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2196025 and 75725.\nAnswer: 2196025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*v**2 - 185*v**3 - 399*v**2 - 132*v**2 + 209*v**2.\nAnswer: -185*v**3 - 679*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 3*z - 10 = 0, 0 = 36*k - 37*k + 5*z - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7726 or -69529\/9?\nAnswer: -69529\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81792 and 265824?\nAnswer: 1063296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 + 608*b - 46208 = 0. Calculate b.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*m = -1, 7962*m = 3*s + 7961*m + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.8. Let v = -0.1 - k. What is the nearest to -0.4 in -1\/4, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-12)*-3)\/((-2)\/4). Let c be (6 - 9)*(-5)\/b*1. Put 0.9, c, 3, -0.4 in descending order.\nAnswer: 3, 0.9, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -2*h. Let a be (0 + -2)\/(1\/(-2)). Let b = a - h. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((sqrt(30)*1)\/sqrt(10) + sqrt(3))**2 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2922*r**5 + r - 1891.\nAnswer: -58440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 1, -0.1, 35\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (30 - 13) - 21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let b(p) = 4*p**2 + 18*p. What is b(w(z))?\nAnswer: 4*z**2 - 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4194.668506 to the nearest 10.\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 15\/58804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 + 2*z - 6. Let m be h(5). Let x be 1 + 1431\/243 + (-2)\/(-18). Solve m*a - 2*a - 5*g - x = 0, -2 = 2*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.072, 0.04, -163, 0?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11273159, -22546314, -33819469, -45092624, -56365779?\n\"Answer: -11273155*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1355620 and 11788?\nAnswer: 1355620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/(4\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 - 4*i**2 - 9*i + 11. Let a be f(-4). Let q(z) = z**3 - 7*z**2 + 2. What is the units digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3206)\/(-68))\/(-7) - (-6524)\/27727?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1735) + 362\/181 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21865609 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + v = 990, 2*v + 0*v = o - 198. Suppose -2*g = 3*f - o, 3*f - 198 = -5*g + 2*g. Let i = f + -29. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0161 + 0.2361. Put s, 0.2, -6, 0.1 in decreasing order.\nAnswer: s, 0.2, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2\/60*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4*v**2 - 5285*t**4*v + 2*t**4 + 189*t**2*v**2 + 2*t*v**2 wrt t.\nAnswer: 48*t*v**2 - 126840*t*v + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944860 is divided by 472402?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -126121\/5 greater than -25225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147072.0068 - 147102. Let g = 30 + h. Round g to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89821313897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3616291444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((38 - 36) + (3 - -2)). Let n(r) = -r**3 - 7*r**2 + 4*r**2 + 13*r - 2*r**3 - 7*r**2 + 12. Does 8 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-29))\/((15\/6)\/(-5))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -22. Let a be (c + 45\/10)*-2. Solve 0 = -b + 2*f + a*f + 23, 17 = 4*b - 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 1932 - 772. Suppose -9*a = a - y. Let s = -30 + a. Let j(h) = 9*h + 1. Give j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 95*f - f**2 - 95*f. Let q(u) be the first derivative of 9*u**2\/2 - 1. What is q(p(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/15 - 3796*z\/15.\nAnswer: -2*z*(z + 1898)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-177)\/(-18) - 2\/(-12). Suppose 53 = 5*d + a, 0 = -4*a - a - s. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -5*i - 0*i - 3*k, -4*i + 4*k - 88 = 0. Let m = i - -27. Suppose 3*h - 2*b = 1, -m*h + b + 0*b = -1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114091055 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (-2*2*(sqrt(500)*-1 - sqrt(500)))**2).\nAnswer: 64010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 11*k - 3. What are the prime factors of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/5 + 40644*v**3\/5 + 406236*v**2\/5 + 1299744*v\/5 + 1299648\/5 = 0. What is v?\nAnswer: -13538, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038241646 to five decimal places.\nAnswer: 0.03824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.18519 litres in millilitres?\nAnswer: 95185.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -h + 36, -45*q + 41*q - 3 = 2*h - 3*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -410045.8 take away 37.712?\nAnswer: -410083.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*-2*sqrt(832) + (sqrt(1573) - (1 + sqrt(1573)))*4*-6.\nAnswer: -384*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 - 6302525.6?\nAnswer: -6303669.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 131\/3*(10 + -7)*-53. Let f = 12568 + d. Suppose -f - 3200 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1982.867 - -1984. What is l rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6519965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/93)\/(48\/288)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/23 (b) 1 (c) 22 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {b: 1, f: 5, e: 1, g: 12}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7764 - 3511. Let t = k + -1512. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -42. Let o(a) = -120*a - 2 - t - 3. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6957.02 rounded to the nearest ten?\nAnswer: -6960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 456957073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -64. Let c = -10 + k. Let f = c - 17. Solve -f*d = 3*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 274 - 95 + k**2 - 92 + k**4 - 88 as z*k**2 + q*k + x + t*k**4 + j*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13.97. Let u = h - -0.37. Let i = 2 + -2.1. Sort i, -4, u in ascending order.\nAnswer: -4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20412988?\nAnswer: 2, 17, 300191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 1917*x**2 + x**3 - 967*x**2 - 950*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3558, -7791, -14830, -24675, -37326, -52783, -71046?\nAnswer: -92115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*y - 3*y + 44, -3*y + 5*s + 112 = 0. Let o be 26\/y + 1 + 40\/3. Suppose 3*b = o - 6. Solve 0*d = -b*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2219 (base 10) to base 12.\nAnswer: 134b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -4*b + b = 0. Let d(j) = -11*j + 110. Let h be d(10). Solve h*t - 3*t + u = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -1. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*f + 449653 = -541799. What are the prime factors of f?\nAnswer: 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*t = -12, -3*t + 0*t - 12 = 0. Let h = -5 - g. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74767096*w - 71444423?\nAnswer: -74767096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39743 + 7546 = -11*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5*y**4\/2 + 17*y**3\/3 + 5. What is the third derivative of l(w) wrt w?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59484701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pff when three letters picked without replacement from {f: 7, g: 1, p: 10}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 divided by 4?\nAnswer: 437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v + 44. Calculate the remainder when 112\/5 - (-30)\/(-75) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 132, 486, 1068, 1872, 2892, 4122, 5556, 7188?\n\"Answer: -f**3 + 120*f**2 + f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535 + 798. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 3, x: 1}. Give prob of picking 1 w and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2 (c) -848\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 176 - -21577?\nAnswer: 21764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-11 + 11 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-25))\/((-2)\/(-10)). Let d be (1 + -1)*1\/v. Solve n = -d*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let i = v - -5. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 375 and 123092?\nAnswer: 122717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-4 + 2)) + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 d when three letters picked without replacement from fhfnnnnhqd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 805 + 1?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894, 1744, 2542, 3294, 4006?\nAnswer: 4684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 67586.\nAnswer: 2\/33793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -49, -117, -187, -259, -333?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c4bc + -2d2?\nAnswer: 11c1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 4*l - 2*l)*(0 - 7*l**2 + 0 + (0*l + l - 7*l)*(-4 - 2*l + 4)) to y*l**3 + t*l + w + b*l**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 - 2 = 0. Suppose z - 202 = -u*g, 0*g - 374 = -2*z + 5*g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 - 25*o - 150. What is q(-5)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*1)\/sqrt(7) - sqrt(10))\/(sqrt(605) - (sqrt(605) + -1*sqrt(605))) - ((sqrt(2) - sqrt(2)*2)*-2 + -1 + sqrt(50)*-1 + -4 + sqrt(4)\/sqrt(2)))**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -286429.\nAnswer: 19\/286429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 19 - 8 = 0. Let m = a + 29. What is the second derivative of -165 - 6*c + 165 - 13*c**m wrt c?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.3 - 32. Suppose -4 = -x + 2*i, 2*x - 2*i + i + 1 = 0. Put g, -1, x in ascending order.\nAnswer: x, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-10) + 2\/(-10). Let k(v) = 9*v**3 + 4*v**2 - 9*v + 7. Is k(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15818 - -15818.0000023032. What is l rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/6)\/((-6)\/36). Solve -5*f = -l + 5*l + 4, g*l - 4*f + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - 4*p - 1. Let z = -5 + 8. Calculate d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419828713.\nAnswer: 6397, 65629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 + 4*a + 12. Let g be x(3). Suppose 3*m = -g*m + 135. Solve -5*u = 5*k - 0*u + 15, -3*u = -3*k - m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 163513.655542\nAnswer: -163516.655542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 432*y - 428 = 0. Calculate y.\nAnswer: 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 16) to base 9.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 2*w + 4. Is t(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 906 divided by 2\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*s + 8810*c - 8811*c, -5*s + 4*c - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-3\/2)\/h*h))**10)**(2\/69))**49 assuming h is positive.\nAnswer: h**(2450\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*z - 30 + 222*z + 221*z + 198*z - z**2.\nAnswer: -z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 19 = -2*b + 2*m, 0 = -2*b + 4*m - 16. What is the lowest common multiple of 11 and 0 - (22\/(-2) - b)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 626, 1038, 1550, 2162?\nAnswer: 2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44243245.\nAnswer: 5, 197, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from ciizczcaaczmccz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-2)*(-388)\/80*-5. Let x = 102 + h. Solve -x*s + 4 = 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*z - 49, -d - 23 = z + 4*z. Let t = d - -31. Suppose 0 = 116*c + 53*c - 8450. What is the remainder when c is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243225 and 97290.\nAnswer: 486450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1095.7 and -6\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {o: 2, n: 2, t: 9, c: 1, i: 1, r: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1998 - -1630.1\nAnswer: -367.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-14)*i*i)*i**(-8) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a + 1. Let b(v) = 4*v - 6 - 3 + 2 - 3*v**2. Suppose -4*y - 1 = 4*s - 17, -s = -5*y + 2. Let k(l) = y*b(l) + 4*p(l). Differentiate k(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 9) to base 14\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 15 = 6. Suppose x*a - 8*a = -5. Let b(f) = 9*f**3 - 2*f**2 + f. Does 4 divide b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -785\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102583727 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (15 - (18 + -11 + -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002322095 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaahyaaaayh. Give prob of sequence yyh.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = 15. Suppose 0 = z*g + 3 + 3. Put 3, -4, g, -1 in decreasing order.\nAnswer: 3, -1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2532 or -2533?\nAnswer: -2533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957266257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 + 3*c. Suppose 6*a - 5*x = 67, -3*a + 0*x = x - 16. Let v(b) = 7*b - a*b + 2*b. Give q(v(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 49*q + 1. Let f be k(-3). Let s = 276 + f. Let z be (-58176)\/(-2222) - (-1 - ((-144)\/66 - -1)). What is the highest common factor of s and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*f - 105*f + 206*f + 5*m + 25 = 0, 25 = -f - 0*m - 5*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from axdqaqqqqahaqqqhqh.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/18)\/((-2)\/20). Suppose -4*p = q*n + 49, 0 = p - n + 10 - 0. Let v = p + 33. What is the lowest common multiple of v and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Let c(i) = -11*i + 4. Let t(z) = -5*z + 313 - 152 - 159. Let f(l) = 4*c(l) - 9*t(l). Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15106 is divided by 1402?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7771 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:21 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-20)*(-200)\/525.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206\/11 at most 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2915 + 1370 = -1026*y + 14871 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0 - 3. Let x(z) = -28*z**2 + 10*z + 3. Let w be 6\/(((-9)\/4)\/((-39)\/26)). Let a(o) = o**2 - 2*o - 1. Let q(t) = w*a(t) + x(t). Give q(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.27. Let h = -0.012 - 0.088. What is the nearest to h in 0.2, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3 - 2. Is -1\/12 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 3*w**2 - w**2. Let r(a) be the second derivative of a**3\/3 + 34*a. What is n(r(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -19*x. Suppose 3*t - 4*b = 3510, -1535 - 805 = -2*t - 2*b. Let o(y) = t - 1170 + 2*y + y. Determine g(o(l)).\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 11 - (6 - 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -3*f, 0 = 3*f - 2*z + 2 + 2. Suppose -f*g = -3*g + 48. Let t = g + -32. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let x = 110 - 112. Which is the second smallest value? (a) -0.1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 8*i**3 - 8*i**3 + (3 - 4 + 3)*(i**5 + 0*i**5 - 3*i**5) + i**5 + i**5 - i**5 + 110*i**5 - 28*i**5 + 172*i**5.\nAnswer: 249*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10864 and 583261.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -596*g - 1 + 3790*g + 364*g in the form n*g + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 18*h**2 + 2*h**2 + 2 + 2 - 2*h**2.\nAnswer: -18*h**2 + 14*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + b632?\nAnswer: b615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:56 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*n**2*r**2 + 42*n**2*r - 4*n*r**2 - 101*n*r wrt n?\nAnswer: 112*r**2 + 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19091 is divided by 89.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2103170 less than or equal to -2103170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.21. Let m = 0.31 - l. Which is the nearest to m? (a) -5 (b) -0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 - -6. Suppose 0 = t - 3 - 2. Suppose -3*d - 14 = 3*f - t, 2*f = -5*d - 6. What is the nearest to 0.1 in 0.2, k, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*l**3 - 117*l**2 - 6*l.\nAnswer: 3*l*(l - 1)*(41*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a + 14. Give r(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 436*v - 434*v - 20, 5*v - 8 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = -4*v + 26, -32 = -5*v - 2*j. Let c be (7 + (-143)\/22)\/(5\/960). Calculate the greatest common factor of c and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*p + 84*p - 337*p + 83*p + 77*p - 18476 in the form v*p + k and give k.\nAnswer: -18476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r - 124. Let f be p(-28). Let u = 441 - f. Solve -u*m = -0*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012106 to six decimal places.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2*c - 28 - 23)*(-2 + 6 - 5)*(-1 + 1 - 1) to v + z*c and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 118748225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 22500000. Round y to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753423891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18584, 18580, 18578, 18578?\n\"Answer: m**2 - 7*m + 18590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 9*g + 22 = 3*k, 0 = 5*g + 20. Let b(u) = -25*u**2 - 23*u**2 + 58*u**k - 14*u**2. Let l(j) = -8*j + 4. What is b(l(h))?\nAnswer: -256*h**2 + 256*h - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -2\/39*b**3 + 1\/130*b**5 + 1\/780*b**6 + 0 + 0*b - 2*b**2 - 1\/1365*b**7 - 1\/156*b**4. Solve l(u) = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrrrdrrrrrdrrrrrrr. What is prob of sequence dr?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 1, q: 2}. What is prob of sequence bfbq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/12 + 7*t. Let f(o) = 4*o. Calculate f(p(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and -53\/1131065?\nAnswer: 4524260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z\/z**(-34))\/z)\/z**29)**(12\/7))**(-1\/13))**8 assuming z is positive.\nAnswer: z**(-576\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -2, 5, 0, -119.\nAnswer: -119, -2, 0, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.96. Let p = 192 + -3646\/19. Let t(g) = 2*g - 4. Let n be t(4). Which is the closest to j? (a) p (b) n (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -42. Let d = 71 + -287\/4. Let y = -1\/4 - d. What is the closest to y in k, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100022 (base 3) to base 12\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23088 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 203*l - 411. Does 95 divide n(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22687461.\nAnswer: 3, 2520829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2312 (base 6) to base 10\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37411, 74984, 112557, 150130, 187703, 225276?\n\"Answer: 37573*s - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 251*i - 3*i**2 + 602*i + 118*i.\nAnswer: -3*i**2 + 956*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -3.7. Suppose 0*a - 3 = -a. Suppose 0 = -5*m - a*t - 1, -3*t + 5 = 3*m - 4*t. Which is bigger: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 0 + 6*v + v**2 - 4 + 0 - v**3. Let s be y(-5). What is the highest common divisor of s and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -429621915 to the nearest ten thousand.\nAnswer: -429620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.17 - -0.27. Let s = 6.1 + j. Let q = s + 1.8. What is the fourth smallest value in 1, -3, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 36*c**3 + 4*c**2 + 564*c + 1008.\nAnswer: -4*(c - 4)*(c + 3)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*y = -0*y + 22, w - 8 = 3*y. Let d be 2\/(-3)*(4 - (-22)\/(-4)). Sort w, -5, 2, d in ascending order.\nAnswer: -5, d, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 128. Which is greater: 1\/607 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 7*o**4\/24 - 109*o**3\/6 + 3*o**2 + 54*o. Let g be s(15). Which is bigger: g or -26\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43581229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2665 - 1727. Suppose 0 = 4*m - 700 - 1252. Suppose 0 = 3*h - 5*c - 196 - m, 2*c = -4*h + g. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - z + 15*z as a + c*z and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 14*k**2 - 6*k - 12. Let f = -54 - -40. Let d be t(f). Let z = d + -64. Calculate the highest common factor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-12)*q*q*q\/((q**(-1\/9)*q)\/q))**(-5\/3))**(1\/31))**(-35) assuming q is positive.\nAnswer: q**(-14000\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-142)\/(-6) - (-4)\/(-6). Let r be 2\/7 + c\/(-7). Let a = 78 + -82. Sort 2, a, r in decreasing order.\nAnswer: 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53378536 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -3*b - 36*b + 189 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*x - 284172, -3*b + 30441 = -5*x - 182702. What are the prime factors of b?\nAnswer: 19, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -70. Suppose -5*f + 335 = -v*t, -3*t + 3 = -4*t. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 19*j**2 - 20*j + 2. Let n be c(-20). Find the third derivative of 50*i**2 + 26*i**4 - 70*i**n + 29 - 29 wrt i.\nAnswer: 624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let d(b) = -b**3 - 8*b**2 - b + 4. Let k be d(-8). Suppose -o + 19 + k = l. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 13. Let f(p) = -4*p + 7. Suppose 8 = -6*h + 4*h, 0 = j - 2*h - 8. Suppose -x + 8 = 2*g - 7, j = g - x - 3. Calculate g*b(i) - 11*f(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 3. Let u be (-2410)\/(-25) + 3\/((-15)\/2). Suppose 8*a - 72 = u. Let y = a - 24. What is j(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/20*j**5 + 1\/6*j**3 + 0 + j - 1\/12*j**4 + 419\/2*j**2. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from -10.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 15. Let k(q) = -q + 1. Let r(u) = -6*k(u) + l(u). Give r(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - d = -6, -2*g - d + 3*d = -8. Suppose 19*m = 207 + g. Which is bigger: m or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-612)\/(-19074))\/((-2)\/(-11)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 130*l - 1199. Let g be c(10). Solve -36*f + 43 = -g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -40. Solve l*u + u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 - 2 = 0. Suppose -h = -3*n, 1 = x + 2*x - n. Let t(l) = -4*l**3 - l. Let s(d) = -d**2. Let p(y) = -2*s(y) + t(y). Determine p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14064 - 0.04\nAnswer: 14063.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*-68.75\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 + -175. Let o be m\/10 - (-6)\/(-15). Suppose 5*z - 44 = 4*d, 3*z = 2*z + 2*d + o. What is the greatest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 1312, 1164, 1014?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 590 + 1210 = 0. Suppose -2*m + 7*m - b = 0. Let k(f) = -4171*f - 58384. Let l be k(-14). Calculate the greatest common factor of m and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 18. Let x = b - 11. Which is bigger: -1\/6 or x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530093 - 287380 - 45816 = -18014*a + 325635 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*m**2 + 2365*m**2 - 299*m**2 + 811*m**2 + 600*m**2 + 1943*m**2.\nAnswer: 5644*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 520374610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32447476 to the nearest integer?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5875812 and 33.\nAnswer: 64633932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2015*h - 18. Let j(d) = 1440*d - 13. Calculate 17*j(p) - 12*k(p).\nAnswer: 300*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1928.849 millilitres to litres.\nAnswer: 1.928849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u*u**(-3)*(u*u*(u*u*u**(-1))\/u)**(-11\/2))\/((u**0)**5*(u*u\/(u*u**1))**42) assuming u is positive.\nAnswer: u**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/(-3)*(-57 + 55).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 671*a - 743319 = -670*a, -5*a + 297306 = 2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2436 - -4194. Suppose -3*y - 3*y + f = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 11*x**2 + 42*x - 15. Suppose -26 = 5*s - 7*s. List the prime factors of c(s).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(242) + sqrt(242) - sqrt(242)) + sqrt(22)\/(sqrt(11) + sqrt(11)*2 - sqrt(11)).\nAnswer: -21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1217391, -4869570, -10956533, -19478280, -30434811, -43826126, -59652225?\n\"Answer: -1217392*t**2 - 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*o**3 - 2674*m**2 + 6*m*o + 116*o**3 wrt m.\nAnswer: -4*o**3 - 5348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2973.\nAnswer: 4\/2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 <= 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*j*r**3 + 1390674*c**3*r**2 - c**3 + 3181*c**2*j*r**2 - 2*c**2*j*r + 14*c*j*r**2 - 2*j*r**3 wrt c?\nAnswer: 12*j*r**3 + 8344044*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 64 = -2*d, 2*d - 268 + 252 = -r. Suppose -2*z + 4*z - 20 = 0. Let u = z - -14. What is the lowest common multiple of r and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**3\/6 + 2*r**2 + r. Let v be (-10)\/2*(6 + -7). Calculate c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1435 (base 9) to base 15\nAnswer: -4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(4\/23)*q)\/q)\/(q\/(q*q\/q**1)) assuming q is positive.\nAnswer: q**(50\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 28. Let q be x(15). Suppose q*i - 31*i + 342 = 0. Solve 2*s - s = -2, 5*s + i = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/360 + 7*m**5\/120 + 28*m**3\/3 - 33. Let q(a) be the third derivative of n(a). Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*(-14 + (-400)\/(-60))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 4*l**2 - 1950 + 4045 + 3*l**2 - 2095.\nAnswer: -2*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f**2 - f**3 + 48 - f**3 - 3*f**2 - 47*f + f**3. Let l be y(17). Is l less than or equal to -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/5 - 6\/(-30). Suppose u = 2*q + q. Suppose 0 = -y + 2, 4*a - 92 + 22 = q*y. 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 the third derivative of -2*m**2*t**3 - 875339*m**2*t + 9*m**2 - 4291154*t**3 - t**2 wrt t?\nAnswer: -12*m**2 - 25746924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1415215275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5.95. Let j = -0.05 - r. Let l = j - 0.99961. Round l to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9727462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*z + 160*z = 54417. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/11, 3, -13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 171653042.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1520 = 5*p, -3*p = 2*p + 3*t - 1515. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqqhqfhfhffhq. What is prob of picking 2 q and 1 h?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 7*h**2 + h + 11. What is the hundreds digit of u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*u - 3840, -u = -3*t - 0*t - 1922. Does 60 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 145\/58 + 2166\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(14*i**3 - 18*i**3 - 34*i**3) - i + 2*i + 2*i**3 + 2*i.\nAnswer: -74*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -2250\/13?\nAnswer: -2250\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.535 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485132639.\nAnswer: 3, 6577, 75269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, s: 3, o: 1, z: 2}. What is prob of sequence ssz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1835\/2558 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 1 - (-45*(-48)\/(-9720))\/(4\/18)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((264\/72)\/11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.248 + -3699933.08.\nAnswer: -3699934.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(165\/5))\/(14\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 z when three letters picked without replacement from {u: 3, f: 4, p: 1, k: 1, z: 1, y: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65729*l**3 - 117360?\nAnswer: 197187*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(20\/3))**(-1\/35) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 11*t. Solve 0 = -2*b - 4*g + 12, -g = 2*b - t*g + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5574080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250.6 minus -1194581.11?\nAnswer: 1198831.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**3 + 17619*a**2 - 17619*a**2 + 0*a**3 - 12*a**3.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577.9 or 2\/3?\nAnswer: -577.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 6691551*g**3 - 4*g**2 - g + 687193?\nAnswer: -120*g**2 + 40149306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - v + 3*v - 2, 2*m + 5*v - 2 = 0. Let t be (-31264)\/136 - (-12)\/(-102). Let n = 237 + t. Solve -n = -3*j - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -50*g + 61*g. Solve 6*p - 9*p = g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 154634635\nAnswer: -92780781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**3 - 15*a**2 + 32*a + 32. Let c(u) = 4*u**3 + 5*u**2 - 11*u - 11. Let p(j) = -3*b(j) - 8*c(j). Is 3 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.43 + -0.43. Let f = g - 24. Let d = 1.24 + -1.54. What is the third smallest value in f, -1\/3, d, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/17776698 and -113\/60.\nAnswer: 177766980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.11, -1, 26, 2\/9, -5177, -0.3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1340 and 71620?\nAnswer: 4798540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = -15. Suppose 0*f + f + k = u, -4 = -2*u + 4*f. Differentiate 6 - u + 19*g + 3 + 14 wrt g.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**2. Let f(a) be the first derivative of -4*a**3 - a**2 - 62. What is f(c(u))?\nAnswer: -768*u**4 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = 5*g, 5*z = g - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h + 11620 = 77*h. Round h to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w - 17*w - 309 = -19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.871938 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110110101110?\nAnswer: -110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b**2 + 39*b + 78. Let g be j(5). Suppose 15 = -f + 4*f. Sort g, -4, f in descending order.\nAnswer: f, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350 or 2101\/6?\nAnswer: 2101\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188994.\nAnswer: 2, 83, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -5 - -2) + -5 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -14*s - 31*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(648) + -2*(sqrt(648) + sqrt(648) + 1*sqrt(648)) + sqrt(648))*4)\/((((sqrt(726) + sqrt(726)*-2)*-5 - sqrt(726)) + sqrt(726))*6))**2.\nAnswer: 768\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5 - 720*b**4 - 1455*b**3 - 730*b**2 = 0. Calculate b.\nAnswer: -1, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6163.3 and 4?\nAnswer: 6167.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 5. Let d(l) = 27*l - 44*l + 0*l + 30*l. Give v(d(b)).\nAnswer: -104*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13 - -4) + 3)\/(3\/76). What is the closest to 0.2 in -0.5, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-462)\/24 - (-1 + (-51)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13024 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526459 is divided by 1374.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*s - 10 = 0, -5*k - s - 15 = -32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*p = -3*t + 1039*p + 5, -9*t + 23 = -2*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 2. Let c(r) = -r - 4*r + r + r + 2*r. Calculate -5*c(k) - t(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 8*z**4 + 96*z**3 + 448*z**2 + 704*z + 384.\nAnswer: -4*(z - 6)*(z + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j. Let r(n) be the third derivative of -n**5\/60 - 5*n**2. Give r(m(g)).\nAnswer: -361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.12479.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -185, 5, 41, 3 in descending order.\nAnswer: 41, 5, 3, -29, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/25)*q\/q**(-7)*q**(-17)*q**(-1\/9) assuming q is positive.\nAnswer: q**(-2059\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 534726251 and -0.4?\nAnswer: 534726251.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4992664, -4992663, -4992662?\n\"Answer: q - 4992665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/98)\/((-29)\/((-1827)\/(-18))))\/((-19)\/(-4))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-80)\/25)*8\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2398984 (base 10) to base 4.\nAnswer: -21021230020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 22403538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 145790, 0.1 in decreasing order.\nAnswer: 145790, 3\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(176) + -5 - (sqrt(176) - 4*(1 + sqrt(176))) - (-6*(sqrt(176) + 2*sqrt(176))*-4)**2) + -1.\nAnswer: -912384 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 43*h + 447. Let g be s(17). Solve 0 = 5*w - 5*p - g, 0 = 3*p - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134030 (base 10) in base 11?\nAnswer: 91776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + w - 2*w - w + 0*w + (0 + 0 + 1)*(1 - 1 + 2*w))*(-5*w**2 + 3*w**2 + 4*w**2).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -5*k**3\/6 + 10*k**2 + 30*k. Differentiate h(c) with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 - 94.2. Let r = -82.5 - i. Round r to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1205 + -1104. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100227 is divided by 33405.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/15)\/(2\/55). Find the third derivative of o + 46*o**3 + 4*o**3 + 56*o**2 + z*o**3 + 26*o**3 wrt o.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -256 - -1095. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 1798448?\nAnswer: 34170512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25347 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 11409 + 1461. Let c = o - -481. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86 - -88) + (-18)\/5 + 1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*s = -982353 + 982367, 0 = -2*j - 2*s + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2279 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 243410883887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(637) + (sqrt(637) + sqrt(637) + -1 - sqrt(637)).\nAnswer: 2 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 + 209066*w\/3 - 46401700\/9 = 0 for w.\nAnswer: 74, 313525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*a - 318*a + 39*a + 2*a + 2*a - 3*a + (3*a - a - a)*(0 + 3 - 1) - 4 - a + 4)*(-3*a**2 - a**2 + 3*a**2).\nAnswer: 372*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3102540?\nAnswer: -3102532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 611 + -1983. Let d = z + 3164. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/20 + o**4\/12 + o**3\/3 + o + 2. Give l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -5 (b) -1\/2 (c) 2\/23 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4181187?\nAnswer: 3, 31, 44959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-500)\/(-20) + 1*1\/1.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1008) - sqrt(1008)*-2) + 2)**2 - (1*sqrt(5082))\/((1*sqrt(12))\/sqrt(2)).\nAnswer: 133*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*b = -402*b + 553*b + 1506*b - 183522 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 310*v**3 + 50224*v**2 + 648*v + 2. Determine f(-162).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/21 + -8\/21. What is the smallest value in 4, 0.05, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let s = 172338 + -517015\/3. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1))\/(4\/6). Let o(w) = -w**3 + 2*w**2 - 9*w - 6. List the prime factors of o(g).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3860208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3733 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -131393602 <= -131393602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-10 + (1 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 1960477?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27541 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 44. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -2\/15949, -2, 5, -1\/96, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 168*v - 199 = -29 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z**2)**(-45)\/((z**(-2\/3)*z)**(-9\/10))**(-44) assuming z is positive.\nAnswer: z**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1403 = -8*b + 3037. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120111*4.\nAnswer: 480444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*d + 4. Suppose 0 = -4*g - 4*m + 56, 5*g - 2*m = -0*m + 98. What is the least common multiple of g and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d - 77*d = 225. What are the prime factors of (64\/10)\/((-6)\/d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1349\/13024 - -4\/407. What is the common denominator of v and -13\/300?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 15*x + 4*x**2 - 2*x**2 - 78*x to a + k*x**2 + d*x and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -79615\/97 less than -821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -29. Suppose -4*p - 144 = -3*q + p, t = 2*p - 6. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.039, -5, 3?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-2\/23)*t)\/t)\/(t**34*t*t) assuming t is positive.\nAnswer: t**(-807\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:11 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 369*i - 9237. Let k be q(25). What is the nearest to 0.01 in 1, k, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -9. Let a be (3\/(-6))\/((-1)\/g). Does 22 divide a\/(2 - (-177)\/(-87))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**5 + 34*p**4 + 18*p**3 + 30*p**2 + 16*p. Let r(v) = -v**4 + v**3 - v**2 - v. Suppose 5*z + 2 = 7*z. Let f(b) = z*g(b) + 12*r(b). Factor f(q).\nAnswer: 2*q*(q + 1)**3*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26310621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2899, 5769, 8639?\nAnswer: 11509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 13, f: 4}. What is prob of sequence iw?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 48*u + 10. Let r be f(-7). Let x = 238 - r. Do x and -100\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5 + (-28)\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 5. Let t be ((-10)\/3 + -2)*18\/(-12). Suppose 84 = -t*o + 4. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -1, 61, 203, 455, 847, 1409, 2171?\n\"Answer: 5*i**3 - 5*i**2 - 8*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1204\/(-55) - (-7)\/(-35). Let v = 9\/22 - z. Let s = v - 23. Which is the closest to s? (a) 5 (b) 3\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1157 divide 7745261134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 10. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62777 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/8 + 2769*z**3\/4 - 640329*z**2\/2 + 637563*z.\nAnswer: -3*z*(z - 922)**2*(z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**2. Let a(h) be the third derivative of h**5\/5 - 254*h**2. Calculate a(w(c)).\nAnswer: 588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/j*j**(-4\/7)*j)\/((j\/(j\/(j\/((j*j\/(j*j\/(j\/j**5)*j*j*j))\/j*j))))\/((j*j**(1\/3))\/j)) assuming j is positive.\nAnswer: j**(-341\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + w = -2, h + 6*w - 3*w = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -340, -337, -334?\n\"Answer: 3*s - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 5180.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 12*p + 20*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(((-1*sqrt(1008))\/sqrt(4) + (sqrt(7) + 1 + -2 - ((0 + sqrt(700) - sqrt(7)) + sqrt(7))))**2 + 5)*4.\nAnswer: 360*sqrt(7) + 18971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -165. What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, -3 = -5*x - q - 16. Let r = 0.467 + -237.467. Let n = 241 + r. Which is the third biggest value? (a) n (b) -0.2 (c) 2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 31 = -11. Let v be -1 - (-3 - -3) - b. Let p = -6 + v. What is the second smallest value in p, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 14889?\nAnswer: 14889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/11840 and -109\/5253408.\nAnswer: 52534080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 - 185004*n\/7 - 8556620004\/7.\nAnswer: -(n + 92502)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1164 * 0.4\nAnswer: 465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, b: 1, c: 1, g: 3, z: 2, r: 5}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6) + 10692\/8. Suppose -2*r - 6 = -0, -4*j = -2*r - g. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36993\/8 - -4618. What is the common denominator of -9\/14 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8+-0.283\nAnswer: 0.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -307.14 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(2 - 2 - h)*(-1 + 2 - 2 + (2 + 1 - 5)*(-6 + 1 + 3) - 37 + 165 + 6 + (-4 + 2 + 1)*(4 + 0 - 6)) as w + n*h and give n.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 + 3*d - 28*d - 7 with respect to d.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 0. Let x be (-2)\/(-14) + 41\/7. Let k be (3\/(-2))\/((-3)\/x). Solve 0 = -c*j + k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729068643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 5*y**2. Let z be i(-5). Suppose z = 6*r - 58 + 22. Solve -r = 3*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*w + 3*w - 7, 3*w - 5*x = 11. Suppose -w*b + 5*l + 37 = 0, -4*l - 4 = -0. Calculate the remainder when 61 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -3.\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + 3 - 3)*(1 + 1 + 0) + w + 1 - 1 + w + 0 + 0)*(-2*w**2 + w**2 + 0*w**2).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**5\/150 + d**4\/30 - d**3\/5 - 9*d**2. Factor y(f).\nAnswer: 2*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (475\/300)\/(20\/(-12))*4?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqnh when four letters picked without replacement from qinqfinqnhqhnihihhhi?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021301003 (base 4) to base 10.\nAnswer: -2137155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1217*d**3*f**2*q + 4*d**3 + 13*d**2*f + 2*d**2 + 52*f**2*q + 10*f**2 - 7 wrt q?\nAnswer: -1217*d**3*f**2 + 52*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71967, -143794, -215609, -287406, -359179, -430922, -502629, -574294?\n\"Answer: p**3 - 71834*p - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 3. Let p be s(-2). Let c = p + 7. Let i be (7 + -1)\/(c\/10). Calculate the greatest common divisor of i and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -266\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 + 8591*j**2 - 45212*j - 2469. What is l(1222)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467474756.\nAnswer: 2, 7, 16695527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 158409142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 2818*h - 2818*h + 20*h**2. Let n(r) = r**2 + 3*r - 3*r. Calculate t(n(k)).\nAnswer: 23*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 359*k - 180*k - 180*k. Let o(a) be the third derivative of -a**4\/4 + a**2. Determine v(o(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r - 4230*r**2 + 4231*r**2 + 42*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7507 (b) 5 (c) 0.1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.35 rounded to zero dps?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895184931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w - 43. What is the units digit of o(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17124109?\nAnswer: 17124109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-2 + (-13 - -10)). Is 3\/470 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -66. Let a = q + 44. Suppose 19*l = a + 45. Solve 0 = 5*v - 3*z - 2, 0 = -2*v - l*z - 0*z + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97 - 100) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -27.33. Let o = 0.13 + q. Put 3, o, -1, 2 in descending order.\nAnswer: 3, 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose 4*f + 4*s = 12, d*f + 5*s + 0 = 3. Let g(b) = 2*b - 8. Give g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-254)\/(-127) - (1 - 0))*(2 - 1). Which is greater: -1\/1181 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2344, 18678, 63010, 149338, 291660, 503974, 800278?\n\"Answer: 2333*g**3 + g**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 13*b**2 - 41*b - 5. Let t be u(7). Let s be (2 - 0 - 3)*(-12590)\/t. Suppose -2*c + s = -5667. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129748 divided by -2\nAnswer: 64874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-10 + (1 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 196*y**2 - 1 - 47*y**2 + 311*y**2 - 2*y. What is the hundreds digit of a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, 1355, 6659, 16997, 34049, 59495?\nAnswer: 95015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19.87. Let w = -0.13 - h. Is w != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 + n**4\/4 + 2*n**3\/3 + 3*n. Let u be m(3). Suppose -u + 47 = 5*x. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 7*o = -59, 43*n - 3*o = 39*n - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296933264*b**3*f**2 - 70201*b**3*f + 6*b**2*f - 2*f**3 + 183*f wrt f?\nAnswer: -593866528*b**3 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1105 = -8*h + l, h = 2*l + 370. What is the greatest common divisor of 1357 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 11*l - 429698 = 728575. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*l**3 + 2848*c**3*l - l**3 - 550*l wrt c.\nAnswer: -9*c**2*l**3 + 8544*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 4*i. Let o = i + 1. Let u be (1 - (-16)\/(-10))*o. Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j + 12. Let z(c) = 50*c + 2. Let u(r) = -17*r - 1. Let n(t) = j*z(t) - 17*u(t). Find the first derivative of n(b) wrt b.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*o*q*z**3 + 9*o*q*z + 3*o*z**2 - o*z - q*z**2 wrt z?\nAnswer: -126*o*q*z + 6*o - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 - 13940*h**2 - 10613056*h - 42229440 = 0?\nAnswer: -2365, -1116, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 664608.8l?\nAnswer: 664608800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289378 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09966 - -0.5009?\nAnswer: 0.60056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 4*a**2 - 364*a - 1792. What is z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -7*a**4\/12 + 112*a. Let f be 3*4\/6 + 25. Let o(b) = 27 - f + 3*b. Calculate o(d(u)).\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -20635314*v**2. Let w(d) = -5*d**2. Calculate w(n(x)).\nAnswer: -2129080919392980*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289075, 577848, 866317, 1154482?\nAnswer: 1442343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4 - 19. Is (-2 - 1) + (i - -745) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002250 divided by -65?\nAnswer: -184650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 232.99999761. Round w to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/50 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3 - 5*h + 11*h + 15*h**3 - 5 - 5*h**2. What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81055248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 1 - 1\/(-1) - -692. Let k be (i + 2 - -2)\/(3 - 1). Let p = k - 219. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3, 3*z + 3*x - 239 = 241. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 2495*m**7\/42 - 3485*m**4\/12 - 143*m - 5. What is the third derivative of l(p) wrt p?\nAnswer: 149700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309 or -157?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 32128 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(343))**2 + -1.\nAnswer: 28*sqrt(7) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.63 + 0.27. Let w = -0.36004 - l. What is w rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38225, -76452, -114681, -152912, -191145?\n\"Answer: -n**2 - 38224*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**2 - 5*w**3 - 2*w**2 + 9*w**2 + 8*w**2 wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v + 7. Suppose 0 = 5*s - 133 + 108. Let w(f) = -9*f + 5. Determine s*l(g) - 7*w(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20127 (base 16) in base 5?\nAnswer: 13200432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-2))\/(87\/(-20097)).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1440 - 21422?\nAnswer: -23412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*s**3*x**3 - 14939*s**3*x + 4*s**2*x**3 - 17*s*x**2 + 13*x**3 - 2*x**2 wrt s?\nAnswer: 1146*x**3 - 89634*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*m**5 + 4054*m**4 + 10784*m**3 + 9788*m**2 + 2560*m - 322 = 0. Calculate m.\nAnswer: -161\/8, -1, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 10342202132?\nAnswer: 10342202114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040*(1\/(-4) + 44\/44).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 556, 586, 616, 646, 676, 706?\n\"Answer: 30*l + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.04 + 0.04. Let h = -9.5 + 4.5. Which is the third biggest value? (a) l (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(8) - sqrt(512)))\/(-4*sqrt(567) - sqrt(567)))**2*1.\nAnswer: 1\/33075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 6*j + 4. Let r be i(-5). Which is the closest to -1? (a) r (b) -3 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, d: 13}. What is prob of picking 3 l?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -r, -r + 0*r - 4*g + 9 = 0. Suppose 4*j = -r*u + 28, 0*u = -u + j + 11. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 1\/3*u**3 + 4 + 0*u + 1\/18*u**4 - 2\/45*u**5 - 1\/120*u**6 + 0*u**2. Let m(z) be the third derivative of w(z). Factor m(k).\nAnswer: -(k + 2)*(9*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let s(g) = -1940279*g**2 - 37. Give m(s(q)).\nAnswer: -1940279*q**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2 - -3 - -4 - ((61 - 71) + 23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -315412*m - 13. Let g(b) = 2*b. Calculate g(v(i)).\nAnswer: -630824*i - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + ((-2673)\/216)\/((-21)\/(-140)))\/((-20)\/16)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-20) - (-1)\/2*4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - w + 2*w = -5, -b - 20 = 4*w. Sort -5, b, -34 in descending order.\nAnswer: b, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1749.8 to the nearest ten.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvffhfffffhfffh. What is prob of sequence vh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/13*k + 30\/13*k**2 + 16\/13.\nAnswer: 2*(k - 2)*(15*k - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 560*u**3 - 43777*u**2 + 43777*u**2.\nAnswer: -560*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 78 = -5*j + 85, 0 = -3*j + 4*h + 100. Let i(v) = -v**3 - v**2 + 4. Calculate the least common multiple of i(-4) and j.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:27 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n + 113*n - 30*n - 36*n - 41*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324*l**2*m**2 - 14*l**2*m - 2*l**2*v - 6*l*v - m**2*v wrt m?\nAnswer: -648*l**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**5\/5 - 27*y**4 + 155*y**3 - 297*y**2 + 240*y + 3279. Factor h(w).\nAnswer: -3*(w - 2)*(w - 1)**2*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11059 + 11275. What is the remainder when 652 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598 = -328*l + 265*l + 347 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 509.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 16 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 10 + 9 + 6*f)*(2*f - 3*f + 4*f).\nAnswer: -3*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-12) + (-1)\/1. Calculate the smallest common multiple of (-2)\/4*(0 - v) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*a + 8, -4*y = -5*a - 17 - 43. Suppose -16*v - 63 = -23*v. What is the first derivative of y + v*q + 5*q - 19 - 16 wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 332 + 582. Let i = h + -4568\/5. Find q, given that -2\/5*q**3 + i*q**2 + 0*q + 0 - 2\/5*q**4 + 2\/5*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 862 + -855. Solve -29 = -x*y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -926, -3556, -7938, -14072?\n\"Answer: -876*s**2 - 2*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}