diff --git "a/data/dm_maths/full_data_1/138_11255.jsonl" "b/data/dm_maths/full_data_1/138_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/138_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 69537099?\nAnswer: 3, 29, 73, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 1\/6, 1, 1\/5, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/75 - (-6816)\/20. What is the highest common divisor of h and 418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*m = -34*m + 58*m - 2088 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r + 171. Suppose -2*q + 725 = -r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5144363*z - 25721803. Calculate f(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**4\/24 - s**3\/3 - 4*s**2. Let i be o(-2). Does 10 divide 30 - (1 + (-3 - i))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8*(-68)\/952.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h + 3*r, -4*r = h - 9*r - 28. Suppose -h*p - 4*k + 30 = -2*p, -4*k - 54 = -5*p. Calculate the remainder when 109 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/3)\/(3368\/80832)*12\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-68)\/(-192)*6)\/((-6)\/(-8)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(8*j**3 + 11*j**3 + 7*j**3) + (-2 + 0 + 0)*(-j**3 + 3 - 3) - 2*j**3 + j**3 + 2*j**3 to the form z*j + a*j**3 + p + r*j**2 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5*t + 17. Let k be n(-7). Suppose -3*w + 654 = -6*w + k*d, -4*w + 3*d = 872. Let q = -142 - w. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 23. Suppose -3*z = 2*z + x. What is the units digit of z\/(-2) - (-1 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 15 - 57. Let z(c) be the third derivative of -c**4\/24 - 3*c**3\/2 - c**2. Let a(i) = 4 + 8 - 15 + 2 + 2. What is m*a(l) - 4*z(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(832)*-2 - sqrt(832)) + -6*sqrt(832)*-1)**2 - ((1*sqrt(364))\/sqrt(7) - sqrt(52))\/sqrt(4)*-1.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3760, -7520, -11280?\nAnswer: -15040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 - 270*r**3 - r**2 - 181*r?\nAnswer: 24*r - 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56117\/78 - -23996677\/33150. Let n = -74\/17 + s. What is the second biggest value in 2\/15, n, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/23)\/(x\/(x*x\/(x*x*x**(-1))*x*x*x))*x**(-16)\/(x**(-38)*x) assuming x is positive.\nAnswer: x**(551\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 71\/2*s**2 + s - 17 - 8\/3*s**3. What is the first derivative of k(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**3 + 29*c**2 - 18*c - 57. Let f(b) = 19*b**3 - 43*b**2 + 29*b + 89. Let d(p) = 5*f(p) + 8*v(p). Let l be (-50)\/(-3) - 6\/(-18). Calculate d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - 20*o + 98. Calculate b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 2*h. Let m be n(-2). Suppose -g - m*g = -10. Let c = -3 - -5. Is g equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 90\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414 a factor of 3722715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.95, -2\/7, 0.2, 1187349?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7015217562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(f + 1 - 1) + 1 - 1 + f - 3 + 3 - 2*f + (5*f - 2*f - f)*(1 - 4 + 1).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5287 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10*5\/(-30))\/((-7)\/(-21)). Let y be (2\/(-8))\/((-175)\/280)*m. Solve -s = -3*c - 15 + 4, 2 = -2*c - y*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.411547 to zero decimal places.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 148, 41, -120, -353, -676, -1107?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 128 = -4*f, 5*z + 3*f - 69 = -23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 664 * 28.78\nAnswer: 19109.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 2)*(-3*s + 6*s + 2*s)*(-s - 1 + 1) to q + r*s + y*s**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63728031*s + 0*s**2 + 2*s**2 + 31864019*s + 31864012*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010000011 + 10?\nAnswer: 11011010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tstttdttsdbsts. Give prob of sequence dtd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/1 - -1)*1. Suppose h*n = n - 19. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/6 - c**3\/3 - 5*c**2\/2 - 4*c. Is a(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away 1236731.907?\nAnswer: -1236730.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 115. Suppose 0 = -3*b - 4*n - 212, -2*b + 3*n - 113 = -h*n. What is the remainder when 96 is divided by b\/(-2) + -3*1\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - z + 1. Let p(m) = 4*m**2 - 77*m + 4. Calculate -p(x) + 3*w(x).\nAnswer: 2*x**2 + 74*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 7715, 3\/4, -1, 2, 0?\nAnswer: 7715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -228 (base 12) to base 4\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - -89. Suppose -3*c = 4*a - s, 2*a = 5*a - 5*c - 173. Suppose 0 = 5*n + 3*p - a, 7 + 35 = 3*n + p. What is the remainder when 72 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*o**2 - 1 + 141*o**2 - 5 + 8.\nAnswer: -140*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*x - 267*x - 573*x)*(0 - 2 - 1 + (3 + 3 - 4)*(0 + 1 + 1) + 1 - 2 + 2 + 3 - 4 - 1 + 2 + 2 - 2) - 5*x + x + 2*x.\nAnswer: -1548*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 201*y + 10376. Determine j(-51).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 29731449.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(176))*4 + 4.\nAnswer: 4 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 96876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -m + 8, n - 6*n = 5*m - 115. Calculate the smallest common multiple of 6 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 7*a - 4. Let p(y) = -y**2 + y - 1. Let c(d) = 3*p(d) - v(d). Let g be c(-2). Let o = g + 3. Solve o = 5*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -277 + 98*l**3 - 6*l**3 - 45*l**3 + 138*l**3 wrt l?\nAnswer: 555*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011220 (base 3) to base 9.\nAnswer: 104156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04341172176 to five decimal places.\nAnswer: -0.04341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 379709352 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1428 and 59825244.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = -29*c + 56. Suppose 7*k = 35 + c. What is the highest common factor of k and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.651 - -28.6510071785. What is k rounded to 7 decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18201, -72790, -163727, -290976, -454501, -654266, -890235?\n\"Answer: 6*x**3 - 18210*x**2 - x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10000103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -612 - -506?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(11)*1)**2 - (2 + sqrt(11) + 5).\nAnswer: -sqrt(11) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.227? (a) 0.1 (b) -0.3 (c) 12980 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101100110110111?\nAnswer: -101100110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c - 77*c + 27 - 27.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 + 2*k + 47. What is b(7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 1399, 3214, 5765, 9058?\nAnswer: 13099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17800 by 1209.\nAnswer: -17800\/1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*k - 163*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16104 - 15891. Is m greater than 2335\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6154 and 1086.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 148373181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 231 = -d + 12*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 15*a**2 + 15. Let r be f(-15). Let j be 10\/75 + (-2)\/r. Suppose 4*q + 0*q - 60 = j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15509 - -15044. Put -5, -3, k in ascending order.\nAnswer: k, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*v**3 - 88*v**3 + 191*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 1, m: 6, t: 1, w: 11, d: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 136\/(-180)*-6)*(280\/(-16) - -16)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + 15\/(-60). Suppose d = -z - 0*z - 4900000. What is z rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*2\/(-2))\/1. Let v(q) = -q - 1. Suppose 2*t - 4*r - 6 = 0, 4*t = -t - 2*r + 15. Let u(j) = j + 2. Let x(d) = t*v(d) + 4*u(d). What is x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.927184 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 8)\/(130\/(-8967203)). Let b = -137962 - l. Let k = 24\/5 + b. Is k at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*c + 105 - 111 = 0, 5*z = -12*c - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -12. Let b(i) = -i - 2. Let x be b(g). Suppose x*v + 3*s - 95 = 0, -3*v - s = 3*s - 143. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2974*s**2. Let f(i) = 2*i + 117. Let t(k) = 3*k + 195. Let h(z) = -5*f(z) + 3*t(z). Determine a(h(d)).\nAnswer: 2974*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g. Suppose 0*v + 5*v - 5 = -3*a, 5*a - 3*v = 31. Let c(h) = -9*h + a*h - h - 6*h. Give c(z(y)).\nAnswer: 154*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(5\/6))**(3\/2) assuming x is positive.\nAnswer: x**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 13*m + 13*m + 6*m.\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y**2 - 5*y**2 + (5*y - 3*y + 0*y)*(-3*y - 5*y + 5*y) + 532*y**2 - 24631 + 24631 + (-3 + 2 + 2)*(-2*y + 2*y + 2*y**2).\nAnswer: 527*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808759021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 20*d**2 - 8*d**3 + 5*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -220, -415, -560, -631, -604, -455, -160, 305?\n\"Answer: 4*b**3 + b**2 - 226*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990218 less than or equal to 3980435\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*j = 11 + 39, 5*j + 37 = 2*x. Let w = -0.3 + 1.3. What is the smallest value in -1\/9, w, x?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76301 is divided by 431?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 312326*w**2\/3 + 12194222062*w\/3 + 60963302410\/3.\nAnswer: 2*(w + 5)*(w + 78079)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = -0*o. Suppose 3 + o = 2*k. Suppose 0 = -k*g + 78 + 42. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 3*b + 19. Let t be h(-6). Let d be ((-4)\/t - -7)\/3. What is the units digit of (-9 - -4 - -13) + d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 3 + (6 - 12). Let u = 309 + f. Let w = 28 - 1. What is the greatest common factor of u and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-4)*340\/765?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -224 or -267?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.2? (a) -0.3 (b) 9\/14 (c) 5 (d) -0.02 (e) -1\/274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 74 = 4*z + 4*n, -5*z = -4*n - 72. Let r(h) = z + 47*h + 46*h - 95*h. Let f be r(2). Calculate the greatest common divisor of 42 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) 1\/4 (c) -7\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1012 - -2203?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 45*d**3\/2 + 77*d**2\/2 + 285*d. What is the derivative of i(l) wrt l?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1038 - 52. Let o = p + -613. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5656218.\nAnswer: 2, 3, 29, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*d + 24, 30 = 3*d - 2*z - 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45914 and 235862?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17*(-9)\/36 - 3. Factor 0 - 5\/2*c - g*c**2 + 5\/4*c**3.\nAnswer: 5*c*(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134199 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128064*m**2 + 7*m - 11356331 wrt m.\nAnswer: 256128*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -65*l**2 - 917*l - 15. Calculate the remainder when 4230 is divided by g(-14).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9954000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 145*q - 310.\nAnswer: 5*(q - 2)*(q + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(55)\/sqrt(5) - (sqrt(176) - sqrt(176)*1 - sqrt(176)))**2 - 2*1*sqrt(891).\nAnswer: -18*sqrt(11) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18867, -18860, -18843, -18810, -18755?\nAnswer: -18672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -800*d**3*o**3 + d**3*o**2 - d**3*o + 4*d**2*o + 38*d*o**3 wrt d?\nAnswer: -4800*o**3 + 6*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - ((sqrt(1377) - (sqrt(1377) - (sqrt(1377)*1 - sqrt(1377))))**2 + 2 - sqrt(1377)))*3 + 4)*-4.\nAnswer: -216*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(567))**2*-3 - (sqrt(112) - (-2 + sqrt(112) + 0)).\nAnswer: -1715 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 4*c - 7. Let b be y(-7). Let t = -117 + b. Suppose -i + 0*m = -2*m - 1355, 5*m = t*i - 2707. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 26639958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*d**4 + 156268*d**3 - 589*d**4 - 156270*d**3 - d**2 - 3*d**4 + 6*d**4 - 2*d**4 + (d**3 + d**3 - 3*d**3)*(-5 + 5 - 2*d).\nAnswer: -728*d**4 - 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 30*j**3 + 12*j**3 - 43*j**3 - 3*j + 2*j - 1. Let s(d) = 11*d**3 - 2*d**2 + 5*d + 5. What is -s(y) - 5*z(y)?\nAnswer: -6*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 113. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 573*y**2 - 23190*y + 102000.\nAnswer: -3*(y - 136)*(y - 50)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7. Let a = b - 1.0000084. What is a rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9112 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 - -967047.\nAnswer: 967133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 28*g**3 - g**2 + g - 1. Let f be v(1). Suppose 5*n - 58 - f = 0. Suppose 0 = 5*r + 2*a - 34, -3*r + 2*a + n = -13. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d + 1\/24*d**4 - 11\/6*d**3 - 1\/30*d**5 - 11\/24*d**6 + 0 - 157*d**2. What is the second derivative of c(k) wrt k?\nAnswer: -330*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a210 (base 14) in base 11?\nAnswer: 209904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + -5) - (3 + 2) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -73*q**3 + 5*q**2 + 56*q - 9. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*a - 38*a + 10. Let j be (-13)\/39*(a - 3). Determine w so that -2\/3*w**4 - j*w + 0 + 2\/3*w**2 + 1\/3*w**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(30)\/sqrt(90))**2.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 26, -1, 0.5, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 740\/3 + -247. Sort -0.1, p, -1, -3 in ascending order.\nAnswer: -3, -1, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 110105?\nAnswer: 110115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 + 11 = 0. Let u(s) = -18*s**3 + s**2 - 5*s + 4. Let o be u(l). Let w = o + 86. 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: What is the third smallest value in 44319, -0.4, 1?\nAnswer: 44319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413 - 31005?\nAnswer: -31422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 146*r + 16798. Give p(-115).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7268.67 - 7341. Let n = -72 - z. What is n rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10 - 4*u - 2 + u**2 - 3. Let y be x(0). Suppose 0 = y*j - 13 + 3. Solve j*c - 5 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 203 - 32 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1323 - 488. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 4. Let t = -48057\/10 + 4810. Calculate the common denominator of 44\/g + 3\/4 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m + 103. Give p(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**2 - 1\/3*m**3 + 0*m + 1\/40*m**5 + 0 - 1\/4*m**4. Let x(z) be the first derivative of v(z). Give x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 9*v = -5*q - 696, 2*v = -2*q + 1332. Let z = -667 + v. Sort 50\/3, 0.1, z.\nAnswer: 0.1, z, 50\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 52. Solve m = -c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 112, 166?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h**5\/h)\/((h*h**(1\/2)*h*h)\/(h\/h**2))*(h**3\/h**(-6))**(-9\/4) assuming h is positive.\nAnswer: h**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300)*-6 - sqrt(13)) + -5 + 4)**2.\nAnswer: 122*sqrt(13) + 48374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i**5 - 486*i**4 + 42642*i**3 - 137642*i**2 - 98040*i = 0 for i.\nAnswer: -95, -3\/5, 0, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -6\/85, 9, 1, -2 in decreasing order.\nAnswer: 9, 1, 1\/4, -6\/85, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 - 2*h**5 - 3*h**5 + (0*h**2 - h**2 + 3*h**2)*(2*h**3 - 2*h**3 - h**3) - 1212*h**5 + 10307*h - 10307*h.\nAnswer: -1213*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/15))**(-14\/5))**(-8) assuming v is positive.\nAnswer: v**(1792\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 17. Suppose -u*l = 5*t - 13, t - 5*t - 49 = -3*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*a - 18, -150 = 4*v - a - 183. What is the greatest common factor of v and 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -7*w**3\/3 - 1. Let p = -475 + 477. Let y(c) = 549*c + c**p - 273*c - 276*c. Give y(g(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1014025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 + 0*k - 2 + 1\/3*k**3 - 2\/5*k**5 + 0*k**4. Find the third derivative of v(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22220 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.71 and -2.\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -683856782 or -683856781?\nAnswer: -683856781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != -0.30457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 18*x**3 + 174121 - 11*x - 174119.\nAnswer: 18*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/459080 and -37\/13972.\nAnswer: 3213560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 277\/4?\nAnswer: 277\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2484?\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -36223 + 10488. Let b = -2202 - v. Suppose 16*p = 11*p + b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 21*f\/4 - 11\/2.\nAnswer: (f - 22)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u**5 + 7*u**5 + 0*u**5)*(-3 + 1 + 0) + (-2*u**4 - 5*u**4 + 2*u**4)*(4*u - 2*u + 6*u).\nAnswer: -46*u**5 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379 + 188 - 142*a + 193 to the form y*a + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26584.1 days?\nAnswer: 38281104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31185, 31169, 31117, 31011, 30833, 30565?\n\"Answer: -3*f**3 + 5*f + 31183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71330.\nAnswer: 2, 5, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23533297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -40. Suppose -4*a = a - t. Factor 46*f**4 + 2*f**2 - 47*f**4 - 12*f + 0*f**a - 9 + 4*f**3.\nAnswer: -(f - 3)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (14\/4)\/((-12)\/(-24)). Is -10*4265\/(-20)*(4 + m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52255 - -125029. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74058 - 74058.31699. Let x = 12.385 - 12.7. Let h = q - x. What is h rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880159847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17928943*j**3 - 8924025*j**2?\nAnswer: 107573658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73*-1.2.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) - (sqrt(231) - (sqrt(231) - 1*sqrt(231))))*-3)\/(sqrt(99)\/(sqrt(45)\/sqrt(5))))\/(sqrt(28)\/sqrt(4)*-5 + sqrt(7)*1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-2\/13)*q)))\/q*q*q*q**(-3\/4)*q*q\/q**(4\/9)*q**3)\/((q\/q**(3\/5))\/((q\/q**(-6\/5))\/q)*(q**(2\/5))**(-1\/59)) assuming q is positive.\nAnswer: q**(1029719\/138060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23734, -47790, -71844, -95896, -119946?\n\"Answer: z**2 - 24059*z + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2\/4 - 12427*q\/4 - 2071\/2 = 0?\nAnswer: -4142, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -917163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 196*v**4 + 10668*v**3 + 14632*v**2 - 10992*v + 1696 = 0.\nAnswer: -53, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28 = -u. Suppose 3*x = u - 4. Let t = x - 6. Put 1, t, -3 in decreasing order.\nAnswer: 1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w + 13. Is m(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 10649436?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 + 32*a - 11. Let d(r) = -2*r**2 + 11*r - 4. Let u(s) = -11*d(s) + 4*x(s). What is u(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*t = 0, -189*n + 5*t = -192*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 2414710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -58, -95, -134, -169, -194?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (3 - -2)*7. Suppose -5*y = n + 6, 3*n - 3*y + 2*y = 14. Calculate the highest common factor of n and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9487157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.5, 0.15 in increasing order.\nAnswer: -0.5, 0.07, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284113*z - 284157*z = -88 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13861*k = 546*k - 74443 - 141662 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9 - 3*q**3 + 8 - 3*q**2 - q**3 + q. Let m(f) = f**3 + 5*f**2 + 3*f + 12. Let v be m(-5). Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104784\/(-37))\/59*5\/(-6)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose -6 = -i*y + y. Let k(j) = -2*j + 3. Calculate the remainder when k(-4) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z + 2. Suppose -u - 1 = -4. List the prime factors of y(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2\/9, 12, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 584430 a multiple of 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270369168*p**2 + 6*p + 878767 wrt p?\nAnswer: -540738336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11028390*a**4*z**2 + 742471*a**2*z**2 + 3*a**2 wrt a?\nAnswer: -264681360*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -16 (c) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1. Let w(v) = v - 5. Let q(p) = 10*i(p) + 2*w(p). Let z(f) = 11*f**2. Give z(q(o)).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 9*l - 4. Suppose 0*o - 2*o - 16 = 0. Let u be q(o). What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2\/1 + -4. Let q(a) = a + 36. What is the remainder when q(c) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**7\/21 - 178*k**6\/15 - 33*k**3 - k**2 + 3*k + 85. Find the second derivative of v(t) wrt t.\nAnswer: -40*t**3 - 4272*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {e: 4, z: 3, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -32) + -103 + 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430007507, -430007508, -430007509?\nAnswer: -430007510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 0.5, 2\/3, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.317 to one decimal place.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 6*i)*(-1 - 2*i**2 + 1) + (-3*i**2 + 1 - 1)*(-3*i - 3*i + 3*i).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*x**2 - 23*x + 12*x**3 - 26*x + 49*x wrt x.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*i**2 - i - i + 4*i - 340*i**2 to the form c*i**2 + d + o*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -5*d**8\/28 + 5*d**4\/6 - 3*d. What is the third derivative of t(w) wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 342 = 351. Let n be (0 - -1)*1*3. Suppose -n*o - o = u - 6, -3*o - p = 0. What is the smallest common multiple of u and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 1, 0.05, 6.7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/136 - (-178)\/(-68). Which is the nearest to 2\/3? (a) u (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 - 499 = -72*v + 2924 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3302, -3295, -3288, -3281, -3274, -3267?\n\"Answer: 7*p - 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-651)\/(-1488) + ((-10)\/(-8))\/(-5). What is the biggest value in 4, -0.4, n, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11243488 divided by 1.\nAnswer: 11243488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28505688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.708119 millimeters?\nAnswer: 2708119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(26\/12 - (-15)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**6\/15 - n**5\/10 + n**4\/2 + 5*n**3\/3 + 2*n**2 + 17*n + 2. Factor m(j).\nAnswer: -2*(j - 2)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 34*u**2 - 63*u + 54. Let j be r(-32). Suppose -j*p = -11002 - 10844. List the prime factors of p.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -28 (c) 0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -3*b. Let k = 10 + b. What is the second derivative of m**2 + 5*m**2 - k*m - m**2 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*x - 4 = 5*y, -3*x + 25 = -4*y. Let o be (9\/4 - 2)*-18. Is o != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -22)\/(2\/37). Suppose -4*p + r = -2*i - 24, 5*p - 500 = 4*i. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600215 divided by -5?\nAnswer: 120043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -915782.99989 + 915802. Let o = -19 + h. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**5\/3 + 7*p**2 - 27. Let n(i) be the second derivative of u(i). Let w(j) = -3*j - 2*j + 6*j - 3*j. Give w(n(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.14636 and 10080192.6.\nAnswer: 10080192.45364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*h + 93 = 0, 0 = z + 3*z - 4*h - 80. Calculate the highest common divisor of 57 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 6*c + 3. Determine f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqkkzkssksfkskszkq. What is prob of sequence kssq?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58496 by 459.\nAnswer: -58496\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*j + 13564 = -29420. What is the remainder when j is divided by 121?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3525999 - 3521709 = -286*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.03, 1565, -0.5, 0.3?\nAnswer: 1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (44 - 8) - 44 - -88?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4918 + 5468. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 5\/5) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*k + 38*k + 27580 = -249*k + 2690 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67.03 + 67. Let a = l + -3.97. Sort -2, 0, a.\nAnswer: a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 take away 11932383483?\nAnswer: -11932383483.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - g - 19 = -3*g, g - 26 = -2*o. Let v(u) = u**2 - 13*u - 1086. Let q(i) = i**2 - 14*i - 1351. Let m(n) = 4*q(n) - 5*v(n). Determine m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3901466?\nAnswer: -5\/3901466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 238209134 from -93.33.\nAnswer: -238209227.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34959209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3194 divide 46830620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19206 is divided by 136?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s + 15. Let d(k) = -k**3 - 4*k**2 - 4*k + 1. What is d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438963318 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -670*n - 12971. Determine y(-16).\nAnswer: -2251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11350 is divided by 264?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.4 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*f + 28, -160*f + 165*f - 5*s = -50 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:26 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013011137 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -9 - (-36)\/(-9). Let y(u) = u**3 - 4*u**2 + 2*u + 2. Let i be y(l). Solve -i*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*l = -3*k + 211*l - 15, -5*k = 4*l + 29. Let u(p) = -p + 11. Give u(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151785 != -152475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.05 + 0.05. Let k = -1.6 - -2. Let h = 16591 - 16594. Which is the nearest to n? (a) h (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f - 16. Let n be j(0). Sort n, -4, -1, 2 in decreasing order.\nAnswer: 2, -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(sqrt(363) + (sqrt(363) + -3 + 2*sqrt(363))**2) + 4*sqrt(363)*-5*-6 + 4.\nAnswer: -2420*sqrt(3) + 65524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by ((-20)\/(-6))\/((-2)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/98*14\/6. What is the biggest value in -20, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 78838*b + 236516\/3.\nAnswer: -2*(b - 118258)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 253052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:14 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 8*r**2 + 18*r**3 - 12 + 12 to i*r**3 + n*r + w*r**2 + z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*j - 20 = 0, 3*t - 28 = -2*t + j. Let b = 17 + 0. Suppose -5*m = -4*m - b. Calculate the remainder when m is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2 - 133083*g - 14735250 = 0.\nAnswer: -44250, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/((-105)\/(-4)))\/(68\/170). Which is the third smallest value? (a) -0.3 (b) w (c) 5\/2 (d) 2\/37 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*m + 12 = 0, 363*m - 365*m = 4*i - 20. Let g be 1 + 35 - (1 + -1). Calculate the greatest common divisor of g and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102034241 (base 5) to base 7\nAnswer: 3415042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 9. Let g be z(-3). Suppose -10*c - 12 + 1412 = g. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:58 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.18 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110011100111 + -10?\nAnswer: 10101110011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 + 14*b + 6. Calculate the lowest common multiple of 48 and l(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6615*t + 271594 = 1232*t + 2444 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/36 and 119\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 5*x - 2*y, 7*y + 130 = 3*x + 128 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 486861 - 2433793\/5. Solve 448\/5*w + b - 62\/5*w**2 + 2\/5*w**3 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 13 - 5. Suppose -3*w = -5*f + 2, n*f - 2*w = -0*w. Let p(o) = o**2 + 4*o + 1. Let b(y) = 3*y + 1. Let d(t) = 5*b(t) - 4*p(t). Calculate d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52679 - 6005455\/114. Find the common denominator of n and (-6)\/21 + ((-1486)\/14)\/(9 + 1).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let z = -76 - -73. Sort r, z, -3\/4, 0.2 in descending order.\nAnswer: r, 0.2, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(12)*-2.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -447.916 + -0.884. Let r = -400 - m. Let s = r + -49. What is the nearest to -0.1 in 2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0 + 95. Suppose -76 = 3*x + d. Let o = 101 + x. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k. Suppose -4*i + 10 + 6 = 0. Suppose 0 = -i*r - 5*b + 17, -r = -2*b - 0*b - 1. Suppose 0*t = r*t - 2*w + 14, 2 = 3*t + 2*w. Calculate u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5 - 7. Suppose 0 = -w*m - 3 - 3. What is the closest to 2 in 0.5, 0, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 - 9*n**2 - 8560207*n - 255522969 with respect to n.\nAnswer: -6*n**2 - 18*n - 8560207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 17*x - 17. What is b(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 174.061 millennia?\nAnswer: 2088732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145663899571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4615 and 52.\nAnswer: 18460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132317?\nAnswer: 11, 193847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1751*l**3*v*z**3 + 5*l**3*z**3 + l**3*z + 2*l**2*v*z**2 - 11*l*v*z**3 + 920*z**2 wrt l?\nAnswer: 10506*v*z**3 + 30*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*g = -140, 15 = 2*u + 4*g - 49. Calculate the greatest common factor of 100 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594776.1 nanometers in meters?\nAnswer: 0.0005947761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*(0 - -5). Suppose 20 = -3*g - m*g. Let a be (g - -1) + 63\/(-2 + 9). Solve 0 = -p - 3 + a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 - -1 - (-3)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 0.05278, -1\/4, 11, -2\/5?\nAnswer: 0.05278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = s - 181 - 67, -u - 2*s + 3*s = -25 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 5. Suppose 5*t - u = 2*t. Solve 5*a - 17 = 4*h + 2*a, -t*a + 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**4 + l**4 + l**4 + 0*l**2 + 0*l**2 + 3*l**4 + 4*l**4 + 4*l**4 - 6*l**4 - l**4 - l**4 + 4*l**4 + (2*l**3 + 0*l**3 - 3*l**3)*(-4 - 2*l + 4).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*s = 20, 5*k - 5*s - 15 = 5. Suppose -36 = g - k*g. Suppose c + 0*t - g = t, 0 = -4*t + 4. What is the highest common factor of 52 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 + 3*m**5\/20 - 3*m**4\/8 + 11*m**3\/6 - m**2. Let d be s(8). Solve -t = -2*z, 3*z - d*t - 5 = t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*f - 1, -u - 9563*f + 8 = -9567*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6466.386484 rounded to the nearest 10?\nAnswer: -6470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044415 - 1.\nAnswer: -0.955585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 8*o**2 - o - 10. Let m be p(-8). Put -1, -5, 4, m in descending order.\nAnswer: 4, -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {x: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3286527\nAnswer: -1314610.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibibibibii. Give prob of picking 1 b and 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -643*p**4\/4 - 39*p**2 + 99. Find the second derivative of c(o) wrt o.\nAnswer: -3858*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -4 + sqrt(2057)*-2 + (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 2*sqrt(2057))))*-2 + 0 + sqrt(2057) + -1 + sqrt(2057)))**2.\nAnswer: 296208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1112606 or 1112607?\nAnswer: 1112606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c. Let q(w) = 121283*w - 7. Calculate q(h(j)).\nAnswer: 1455396*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.485 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, l: 1}. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 q, and 1 d when four letters picked without replacement from esdqjqe?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-570)\/(-35) + -16 - 906776\/(-14).\nAnswer: 2, 3, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 - 198*h**4 - 2824*h**3 + 15360*h**2 + 262400*h + 444000 = 0. What is h?\nAnswer: -10, -2, 10, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((468\/13)\/(-36))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 1 = 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cicciicicici?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6905 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*w - 40, -s - 2*w - w = -28. Suppose 24 = -c + s. Put c, -3, -1 in decreasing order.\nAnswer: -1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2729 by -2532.\nAnswer: -2729\/2532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**3 + 4*a**2 + 5*a + 5. Is f(-2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -4.07, -0.01, 12, -31?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*c + 341, 5*c - 4*d = c + 464. Let m = c + -110. Solve -15 - m = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6748.7 rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*h + 37, -2*h - 3*h - 897*r = -892*r + 35 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = 50 + 132 - 57 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:45 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*m - 5*m - 2*d, -5*m = -2*d. Solve 5 = m*h - 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7)**4 assuming v is positive.\nAnswer: v**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18011, 18018, 18025, 18032, 18039?\nAnswer: 18046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 22*b**2 + 0*b**2 + 5*b**2 + 5*b**3 + 6*b**2 - b**3 to the form m*b**3 + g + z*b + a*b**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 33*r**2 + 62*r + 4. Let a be b(-31). Sort a, -6\/13, 0.4, -9.\nAnswer: -9, -6\/13, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 23. Let u(b) be the third derivative of 17*b**5\/60 - b**4\/4 + b**3 - 9638*b**2 - b + 1. Let n(i) = 6*i**2 - 2*i + 2. Calculate z*n(r) + 3*u(r).\nAnswer: 3*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12032, 48544, 109398, 194594, 304132?\nAnswer: 438012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 9) to base 2.\nAnswer: -101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -25*h**3 + 49*h**2 + 166*h - 202. Let u(x) = 104*x**3 - 196*x**2 - 665*x + 807. Let r(f) = 25*o(f) + 6*u(f). Factor r(t).\nAnswer: -(t - 52)*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 7 (b) -158 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -246542245.27 rounded to the nearest 100000?\nAnswer: -246500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 7. Let o = y + 80. Solve -5*b - 21 = -2*x, -4*x = 2*b + 3*b + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - -7) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 - 2*r - 2. Let s(u) = 23*u + 112. Let w(x) = -117*x - 560. Let y(c) = 11*s(c) + 2*w(c). Let v be y(-6). Calculate m(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 355 = -5*j - 5*d, 363 = -j + 3*d. Let n = j - -427. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2526, -9981, -22406, -39801, -62166, -89501?\n\"Answer: -2485*s**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*g + x, -4*g = -1310*x + 1306*x - 64. Which is the second biggest value? (a) -0.3 (b) g (c) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61*-0.4.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z + 1\/3*z**2 + 1\/6*z**3 + 1\/36*z**4 - 24. Let x(o) be the first derivative of l(o). Factor x(q).\nAnswer: (q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24559181 by -1.\nAnswer: -24559181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 2\/(-1))\/(-2). Let h(s) = s - 1. Let k(n) = -16*n - 2. Let q(f) = 41*f + 6. Let x(w) = -3*k(w) - q(w). What is g*h(z) - x(z)?\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgyyyxxy. What is prob of picking 4 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038 - 0.5?\nAnswer: -2038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**2. Let r(k) = -3*k**2. Let g(b) = -21*r(b) + 5*u(b). Let l(m) = 2*m**2 - 38*m + 38*m. What is l(g(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 488.1255, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3064202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15153722 a multiple of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3590\/(-4)*42\/63. Let h = v + 597. Put -1\/5, -0.1, -0.4, h in increasing order.\nAnswer: h, -0.4, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9611 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-155)*((-15)\/6)\/(-5). Solve 19*s - 24*s + 25 = o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48522547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5)*a)\/(a*a**7))\/((a**(-2)*a*a*a)\/(a**(-2\/5)\/a)) assuming a is positive.\nAnswer: a**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 87. Suppose 4*x - 720 = 24*x. Let u = x + g. Which is the closest to -1\/5? (a) u (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.02, -24, 3 in increasing order.\nAnswer: -24, 0.02, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)\/(k*k**3*k)*k**(-5)\/(k\/(k*k\/(k**(1\/5)*k))) assuming k is positive.\nAnswer: k**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875.7612 centimeters to micrometers.\nAnswer: 8757612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344 + 348. What is the second derivative of -2*d**3 + 16*d**4 + 15*d + q + 35*d**4 - 66*d**4 + 62*d**4 wrt d?\nAnswer: 564*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*h + 28 = 0, -6*p + 16 = -3*p - h. Let c = 47 + 41. Suppose c = p*t - 0*t. Calculate the lowest common multiple of 2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -10.56544, 10?\nAnswer: -10.56544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 126. Suppose -5*l + 2*l + 5*t = -7, 3*l - 47 = -5*t. Let o = l + -9. Solve 5*s - a - 8 = o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -9, -27, -4, 5.\nAnswer: -27, -13, -9, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.001234.\nAnswer: -0.0002468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -3. Let f be 60\/9*9\/n. Let u = -6 + f. Solve u*v - 2*g - 3 = 5, v - 4*g = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + u)*(-u + 3*u + 0*u) + 2*u**2 - 4*u**2 + u**2 + 49*u**2 - 9*u**2 + 10*u**2 + (4*u + u**2 - 4*u)*(4 - 1 - 2).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 1. Let j be (2 - 1)\/(2\/4). Determine d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(-435)\/1450.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 68.3. Let x = -15.29772 - l. What is x rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*(1 + 5). Suppose 0 = -3*g + x*g - 3*c + 8, -5 = -2*g + 5*c. Suppose 0*o - 5*o + g = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (1 + -4 + 6 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14081146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -6.2, -4, 0.6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)\/(-1) + 3. Let s(n) = -n**3 + 5*n**2 + 6*n - 1. Let b = 11 + -5. Let d be s(b). Sort -3, d, g in descending order.\nAnswer: g, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 b when four letters picked without replacement from {j: 2, b: 9, s: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2. Let h be y(1). Let o(b) = -2*b**2 + 3*b - h*b. Let l(c) be the third derivative of -c**5\/60 + 5*c**2. Calculate o(l(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12586033?\nAnswer: 139, 90547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 399594029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**8*u)\/(u**(1\/11)*u*u*u))\/((u\/u**(-2))\/(u\/u**(-4))))\/(u**(3\/2)\/u*u*u\/(u*u*(u\/(u*u**4))\/u*u)*u)**(-11\/6) assuming u is positive.\nAnswer: u**(2375\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/(p*p**(-15)))\/p)\/p)**(7\/2))**(-25))**(-29))**(-24) assuming p is positive.\nAnswer: p**(-791700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, z: 3, t: 2, w: 4, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/20 - (-6)\/10) + 1. Sort 0.3, 2, 5, j in descending order.\nAnswer: 5, 2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297326*c**4 - 420*c**2 + 20*c + 2 wrt c.\nAnswer: -7135824*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 = 17. Suppose 0 = -2*i + t + 12, -12 = -b*i + t + 8. Suppose -p = -i*p + 75. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 + 232*i**3 + 5044*i**2 + 48720*i + 176400 = 0. What is i?\nAnswer: -15, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 22*c = 39*c - 40796. What is the highest common factor of 94 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from xca?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*0\/151. Let u(c) be the first derivative of d*c**4 - 18\/7*c**2 - 22\/21*c**3 - 16\/7*c + 2\/35*c**5 + 6. Find k, given that u(k) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from mlmmw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*v + v - 9, 0 = 4*t - 4*v. Solve 0 = -2*f - t + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*d = 4*d. Let l = -0.03 + -0.37. Let g be 1\/3*(-3)\/(-2). Which is the closest to g? (a) 2\/5 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 6. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2202, 4424, 6648, 8874?\n\"Answer: z**2 + 2219*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.98 and 70.\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1916 - 1809 = 271*r + 6069 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 19. Let b be c(9). What is the tens digit of (-10)\/3*(b - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45051909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -3*q**4\/2 - q**3\/6 - q. Suppose -5*c - r = 0, 2*c + r - 7 + 4 = 0. Determine w(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/11 + 3828001\/(-11). Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -32*w**3\/3 + 3*w**2\/2 - 2*w - 1751. Calculate a(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186.65 - 185.65. Let k be ((-1)\/(-3))\/(2\/12). Let y be ((-2)\/(-10))\/(2\/k). Which is the nearest to x? (a) -2 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7581.681 millilitres?\nAnswer: 7.581681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqvvqcqqc. Give prob of picking 3 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) - 715\/(-44). Suppose q - 18 = -v. Let l(i) = 10*i + 2. What is the remainder when 77 is divided by l(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 107.3. Let c = -9 + f. Round c to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2706038*j**5 - 64259956*j wrt j.\nAnswer: -54120760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 56511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/16512 and 109\/2580.\nAnswer: 82560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145*(-25)\/(2875\/23).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -627, -1214, -1799, -2382, -2963?\n\"Answer: k**2 - 590*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 354\/25 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104720000 a multiple of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -738.223895 + -0.4\nAnswer: -738.623895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127\/105 - 16\/15. Let z = 60.01 - 60. Sort 5, t, z, 4 in increasing order.\nAnswer: z, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g + 3. Let a(u) be the third derivative of -15*u**4\/4 - 17*u**3\/3 - u**2 + 17. Let r(k) = 6*a(k) + 68*w(k). Let p(v) = 2*v. Calculate r(p(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - 41. Let g = -64 - k. Let x(h) = 4 - h**2 + 8*h**3 - 3*h**2 + h - 3*h**3 - 6*h**g. Calculate x(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*h**3 + 70*h - 94*h - 38*h**3 + (h**2 - 3*h**2 + 0*h**2)*(-2*h + 1 - 1) - 3 + 3 + h**3.\nAnswer: -21*h**3 - 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from vaaa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7310372 microseconds?\nAnswer: 0.0000007310372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 15*b + 4*o - 12, -2*b = -2*o + 6. Which is smaller: 60\/47 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 24. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128775 + -49760. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4742204592.\nAnswer: 2, 3, 98795929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 14 + (-19 - (-31 + 54))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4492383 and 786?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 142, 149, 160, 175?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974379.\nAnswer: 11, 239, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 1045372 - 1044357 = 0 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = j + 5*s, -3178 - 511 = -5*j - 3*s. What is the lowest common multiple of 636 and j?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 49 + 66*x**2 - 50 - x**4)*(-15*x + x - 2*x)*(-1 - 5 + 4).\nAnswer: -32*x**5 + 2112*x**3 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/104)\/(-5)*208\/(-78)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 (base 7) in base 6?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*x + 26834 + 1376 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.729 - 5.039. Let w = 0.31 + l. Let y = 0.8 - -0.2. Which is the nearest to 1\/5? (a) w (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27510183 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 1, y: 9, n: 1, a: 4, m: 1}. What is prob of sequence iaya?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11603841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1741406 or -232?\nAnswer: -1741406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 7, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.93 + -0.23. Let n = z - 3.7. Are -1\/5 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - i = 10, 3*i = -3*m - i - 2. Let p(n) = -n**2 + 5*n - 4. Let v be p(3). Suppose -v*d = m*d - 44. Solve -4*r + 2*l + 5 = -d, l - 17 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.378809 kilograms to micrograms.\nAnswer: 6378809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2200170 by 10477.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) -2 (c) -0.311 (d) -2\/201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/3*m + 4\/3*m**2 + 16.\nAnswer: 4*(m + 2)*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and 0.0537547?\nAnswer: 9.9462453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2184 divided by 6\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232936 and 10408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1206)\/(-1072))\/(5\/80).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-9 - 3) + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, 2.\nAnswer: 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) 6 (c) -26 (d) -4249 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1709*x**3 + 132*x**3 - 325*x**3.\nAnswer: 1516*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*n + 132. Let t = -8 - n. Let l(i) = -3*i + 13. Let u be l(t). Solve 0 = 2*y + 3*m + 4, 1 = 4*y + m - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48645 divided by -12?\nAnswer: -16215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40516671?\nAnswer: 3, 13, 251, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110109 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1798*s + 1798*s - 3603*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.31 - -20.31. Are -0.05 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 2. Let n(u) = 10*u - 2. Let v be n(1). Let i be j(v). Suppose -d - d + i = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2 + 5 - 2). Let g be 0\/(-1 - 1\/s). Solve g = -2*w - 10, 4*h - 2 = 2*w - 0*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s)\/(s**(-1\/20)*s) assuming s is positive.\nAnswer: s**(-33\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 437230 to the nearest one thousand.\nAnswer: 437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 3*j**2 - j + 2. Let g be c(-3). Suppose g*f = 2*f + 60. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 465*a**2 - 31*a + 30. Let v be f(1). Let j = 937\/2 - v. Factor -3\/2*g + 1\/8*g**2 + j.\nAnswer: (g - 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.59 + -10.1. What is b rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*n + 170 = 0, -3*i + 125 = 943*n - 938*n. Solve -i = -8*o + 13*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -213. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - k**5 + 18*k**4 - 26*k**3 + 12*k**2 + 15*k**3 - 16*k**3 = 0. Calculate k.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-14) - 26\/(-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**4 + 0*y - y**3 + 0 - 4*y**2 + 1\/10*y**5. Find the first derivative of b(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*d - x - 36, 2*d - 2*x - 18 = 0. Suppose 0 = d*v - 89 - 91. Suppose 4 = -c + 3*y, -2*c + y = 3*c + v. Let o(p) = 4*p - 5. Determine o(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-90)\/1485 + 29603\/33?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 19 + 14. Let v = 14 - i. Solve 0 = v*x + 4*z - 5 + 24, 3*x = -3*z - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.7092\nAnswer: 0.3546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/17 (b) 3\/2 (c) 120 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 - 5*d)*(-32*d + 32*d + 5*d**2) + 157*d**3 + 0*d**2 - d**2 - 158*d**3 + d.\nAnswer: -26*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4022432 (base 5) to base 4.\nAnswer: 33221311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984481?\nAnswer: 3, 331609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*x**3 + 168 - 168 - 2*x**2 + 2*x**2 - x**3 + (x**3 + 2*x - 2*x)*(-6 + 4 + 1).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 - 2*j**2 - 8*j - 13. What is v(-3)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12912*z**3 - 8*z**2 + 3*z + 181?\nAnswer: -77472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:14 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2, 5, -44.06, 0.4 in descending order.\nAnswer: 5, 0.4, -0.2, -0.3, -44.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*f = -60, -19 = -b + 17*f - 19*f for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30184 divided by 45.\nAnswer: 30184\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 384634 (base 12) to base 7\nAnswer: 10551541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtttttttttvvtttt. Give prob of picking 3 v.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**2 - 2*z + 112. Let s(h) = 24*h**2 + 4*h - 224. Let u(a) = -2*s(a) - 5*v(a). Find the first derivative of u(g) wrt g.\nAnswer: 34*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -8\/3 (b) -0.08 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 - 5 = -2*z, 0 = -3*z - 6. Differentiate -d - 4*f + 0*f - f with respect to f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173746\/9 or 19305?\nAnswer: 19305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29628 - -4?\nAnswer: -29624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 15*k - 22. Suppose 12*q = 3*b + 17*q - 21, -4*b = 5*q - 28. Suppose -3*l = r - 25, -64 = -4*r + 4*l - b*l. Determine z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*u + 268*u - 67*u - 33*u + 1127 + 222*u wrt u.\nAnswer: 397","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x + 1. Let o(c) = 16*c**2 - 7*c - 3. Calculate o(k) + 4*y(k).\nAnswer: 12*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002011 - 1?\nAnswer: 1002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10804074 or -10804072?\nAnswer: -10804074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 66.75, 4 in increasing order.\nAnswer: -2\/5, 4, 66.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Suppose 4 = -3*y + 4*f, -4*y - 5*f - 2 = -7*f. Let p = y + 5. What is the smallest value in -2, p, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5906845*0.1\nAnswer: -590684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/16)\/((-2045)\/(-85072))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 + 1914*a**3 - 5*a**2 - 22223*a?\nAnswer: -20*a**3 + 11484*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-5))\/1)\/((-305)\/(671000\/44)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {a: 9, y: 4, r: 6}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - u = -13, q - 6*u + 2*u + 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:12 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 703 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350052743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*t**4 + 5*t**3 - 103*t**4 + 48*t**4.\nAnswer: -5*t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3764 + -2014. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Let h(y) = 3*y + 17. Let t be h(-5). Let w(q) = 2*q - t*q - 3*q**2. Calculate w(o(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Let g(l) = 5*l**2 - 6*l + 31123. Calculate g(t(f)).\nAnswer: 20*f**4 + 12*f**2 + 31123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, j: 4, g: 5}. What is prob of sequence gggj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 10 = -2*t + 3*r, 4*t + 2*r - 4 = 0. Let p be (-95)\/(-10) - 1\/2. Is 8\/t + 30\/p*6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9773, -42362, -96701, -172790?\n\"Answer: -10875*h**2 + 36*h + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 + 6705126*h**3 - 2*h**2 - 1823517 wrt h?\nAnswer: 24*h + 40230756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6066578557.\nAnswer: 13, 466659889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -31*l**8\/112 + l**7\/70 + l**5\/12 - 13*l**4\/6 - 5*l**2 - 27. Find the third derivative of i(s) wrt s.\nAnswer: -5580*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Suppose -4*s = 3*z - 56, -3*s + 2*z - 52 = -7*s. Let j(b) = -2*b - 4*b - 4*b - 13 + s*b. Let a be -1 + 9 - (-1 - -2). Give j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1747 - -1762. What is the remainder when 464 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 30. Let g be o(28). Put g, 1, 3 in increasing order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*n + 45. Suppose 6*c = 4*c + n. Suppose -12*v = -c*v + 60. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 5. Let l be z(-12). Suppose 3*v = l + 8. Suppose 2*s + v*u = 6*s - 109, -u - 27 = -s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - -194. Let i(x) = -x + 11. Let q be i(0). What is the highest common divisor of q and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 3*f**2 - 14*f + 12. Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1098120504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 35 - 5. Suppose 8*z - y = 4*z. Solve 0*w - 4*w + 23 = -m, w + 1 = -z*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*((-24)\/(-20) + -2 + 1). Let l = 0 - -3. Factor j**f + 246*j + 3*j**2 - 255*j - l*j**2.\nAnswer: j*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 65 = 2*n - 0*k, -37 = -n - 4*k. Let z = 31 - n. Which is the nearest to 0? (a) z (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.349 and -3831534681468.\nAnswer: -3831534681468.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 101\/(1*2*(-8)\/16). Let k = -85 - u. Calculate the remainder when k is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 345398828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, b: 2, m: 12}. What is prob of sequence lmbb?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)*(-1 + 0). Let m(b) = 6*b + 0 + 1 + z. Let q be m(-1). Is -4 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 736510\nAnswer: 2946040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9814, -9834, -9854, -9874?\nAnswer: -9894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5875 - 9832. Let r = z + 7310. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 42. Let h(s) = -7*s**2 + 2 + s**2 + 8*s + 0*s + 5*s**t. Suppose 3*i - 35 = -2*i. Give h(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 0.02?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*f + 38 = 106*f. Let b be -2 - (14 + -1) - 2. Let w = b + f. Calculate the lowest common multiple of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -170, -172, -174, -176?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010 + 11100011?\nAnswer: 101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 231, 446, 659, 870, 1079, 1286?\n\"Answer: -b**2 + 218*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -70*(4 + 69\/(-15)). Let g = 46 - q. What is the second derivative of -5*m**4 - 40*m + 75*m + 9*m**g wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109704921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b8173 (base 12) in base 16?\nAnswer: -4809e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768191747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/4)\/((-45)\/(-120)). Let z = d + -5. Suppose -3*l = -0*l - 12. What is the remainder when z is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let a(x) = x + 296. Determine a(d) - 2*h(d).\nAnswer: -d + 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 8}. What is prob of picking 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 1175760?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -60*i**2 - 356*i + 101. Let c(s) = -71*s - 59*s**2 + 103*s**2 + 20 - 56*s**2. Let u(j) = -11*c(j) + 2*w(j). Suppose u(x) = 0. Calculate x.\nAnswer: -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, 4, 6 in descending order.\nAnswer: 6, 4, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - 5) + -5 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452964*j - 68*j**3 + 67*j**3 - 452979*j.\nAnswer: -j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -4)\/(568\/(-569) + 1). Let n be (0 - (-1)\/s)\/(4\/16). Let w = n - -3644\/1707. Calculate the common denominator of 37\/51 and w.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 131\/2. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 641? (a) 0 (b) -0.5 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, 0, 623?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1022022334 (base 5) to base 3\nAnswer: 11000211120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -54*s + 4. Suppose -73*z = -5*b - 76*z - 8, z = -1. Give d(b).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**3*z**3 - 3*t**3*z + 17*t*z - z**2 wrt z?\nAnswer: -24*t**3*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 18\/88489, 1?\nAnswer: 18\/88489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -47. Solve -5*c - w = -7, -4*w + y = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 - 8*c**2 - 4*c + 6. Let j(n) = -6*n**3 - 7*n**2 - 4*n + 5. Calculate 5*j(m) - 4*o(m).\nAnswer: -2*m**3 - 3*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9269998396797*q - 9269998396797*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 159, 0.9, -3, -5\/6, -5, -77\/3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s**3 - 125*s**3 - 95*s**3.\nAnswer: -264*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62718275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400) - (sqrt(4400) + 1))*1*-4 - (sqrt(11) + 3*sqrt(99) + sqrt(22)\/sqrt(2)*-4)**2*5.\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, -5, 32 in decreasing order.\nAnswer: 32, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4725 and 11907?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11690 > -10909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -459593571\nAnswer: 1\/153197857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284 - -292. Suppose p*g = 5*t + 9*g - 758, -5*g - 770 = -5*t. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 39 = 17. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, f: 1, t: 6, g: 1, o: 1}. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 - (-36 - (-7 + -32))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 167 - 187 = -228*l. Let h(i) be the second derivative of 9*i + 0*i**l + 3\/20*i**5 + 1\/2*i**3 + 0 - 1\/2*i**4. Factor h(q).\nAnswer: 3*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1298*-4967\nAnswer: 6447166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -3\/4 (d) -2.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -1.782. Let j = 0.228 - q. What is the nearest to 1 in 4, j, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -37*x**2 - 17*x + 9. Let b be (-12)\/3*-6 + -2. Let q be (-1)\/(-3) + b\/6. Let l(n) = 18*n**2 + 8*n - 4. Let h(g) = q*z(g) + 9*l(g). Factor h(u).\nAnswer: 2*u*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -116, -151, -192?\n\"Answer: -3*l**2 - 20*l - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.057, 4\/7, 21, 0 in decreasing order.\nAnswer: 21, 4\/7, 0.4, 0.057, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.8539 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 3. Let d(h) = -14*h + 8. Let g(t) = -3*d(t) + 8*u(t). Let s(j) be the first derivative of -8*j**3 - 8832. What is g(s(v))?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 6, x: 1, z: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 6*q + 29. Let j be k(-9). Solve j*f - 19 = -5*i, 0 = -2*f + 4*f + i - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11160*d. Let k(t) = 11159*t. Determine 3*f(x) + 4*k(x).\nAnswer: 11156*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b + 5*b = -318*b - 2*l + 387, l = -2*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee8b (base 15) to base 9.\nAnswer: -76275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**6*v - 1155984*t**5*v + t**2*v + 10076*t**2 - 87*t*v + t + 1 wrt t.\nAnswer: 1080*t**3*v - 69359040*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swso when four letters picked without replacement from hhwswssooohws?\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 + 308. Suppose 6*h = h + b. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:43 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 < 91452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*-1*5. Let p(a) be the third derivative of a**6\/120 - a**5\/30 - a**4\/12 - 2*a**2 + 23*a. Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44184 is divided by 579.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/(1464\/32025*7\/(-2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8*8 + -19. Let m be ((-444)\/s)\/((-4)\/(-10)). Suppose 3*h + m = 5*h. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 5:59 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 4040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(1*sqrt(245) + sqrt(245)) + sqrt(245) + -3*(0 + sqrt(245)) + (sqrt(245) + 1)*-6*-6)**2*3 + 1.\nAnswer: 381024*sqrt(5) + 7802569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n)\/(n\/(n\/n**(-4\/7)*n))*(n\/(n\/(((n*n*(n*n**(1\/2))\/n)\/n)\/n)))**(-9\/5) assuming n is positive.\nAnswer: n**(117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:26 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, 12, 1\/37, 3, -1, 3\/49 in descending order.\nAnswer: 12, 3, 1\/15, 3\/49, 1\/37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let z(c) = c - 3. Let m be z(t). Suppose 5*w + m = 170. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12745 + 22451. Let r = -2\/18494667 - -3590943039427\/369893340. Let p = x - r. Calculate the common denominator of p and -97\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let k(v) = -v - 3. What is -5*k(s) + 6*w(s)?\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433321863 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1819?\nAnswer: 5\/1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372337*u**3 - u**2 - 744905*u**3 + u**2 + 372346*u**3.\nAnswer: -222*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46995 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -8256\/493 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, 1\/5, -7, 4.\nAnswer: -7, -1\/32, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1090\/9 - -121. Suppose 1 = n + 6. Which is the second biggest value? (a) 3\/5 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*n - 998, -450 = n + 3*r - 112. Let g be 2\/(n\/(-108) - 3). Let y = g + -46. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**2 - 20*g + 12. Suppose 0 = 3*d + 2*i - 29 - 6, 5*d - 37 = 2*i. What are the prime factors of j(d)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/12 + 22*i**3\/9 - 131*i**2\/6 + 36*i + 199. Suppose p(v) = 0. Calculate v.\nAnswer: -27, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*24637.\nAnswer: -12318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 318040551 to the power of 1\/2, to the nearest integer?\nAnswer: 17834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -171494 divided by 19?\nAnswer: -9026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 - 4 - 5 - -1580. What is the greatest common factor of d and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 5*w + 3*w)*(-w - 2*w + 5*w)*(-9 - 9 + 28)*(0*w**2 + 0*w**2 + 5*w**2) to p*w + c*w**3 + s*w**2 + x*w**4 + f and give x.\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10379174 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*b + 115*b**3 - 188*b - 185*b.\nAnswer: 115*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 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: Express (11 - 3 - 1)*(-1 + 3 + 0)*(12*x - 5*x + 26*x) as f + d*x and give d.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 399, -2, 3\/8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -27\/149363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 16*a = 2*c - 56, 5*c + 4*a = 154. Calculate the remainder when 299 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(19) + 0)*-1 + -3)*-4)**2.\nAnswer: 96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 64224 divided by 12\nAnswer: 5352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b + 853 - 88*b - 816.\nAnswer: -162*b + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-12))\/(-1 - (-1 + -3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.9. Let i be (-4)\/(-2) - 18\/8. Suppose -2 = -s - 1. What is the closest to r in 3\/2, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 1*sqrt(117)*6 - sqrt(117))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 864193 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r - 51. Let y be c(7). Solve 15 = -5*h - y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(126)\/((sqrt(63) - 2*sqrt(63))\/sqrt(9)))\/(-1*sqrt(150)*2 - sqrt(150))*6.\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:41 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/((-33)\/297*5\/((-25)\/27)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627 divided by -158?\nAnswer: -2627\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 5. Let f(d) = -3*d**3 - d**2 + d - 1. Let u = 1 + 0. Let k be f(u). Let y(v) = -9*v - 9. Let j(i) = k*y(i) - 7*n(i). Differentiate j(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iifi when four letters picked without replacement from fiffifrifiiiriifff?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)\/(c\/(c\/(c*c\/c**(-6))*c))*c*c**(-3\/5)*c**(3\/7))\/((c**(1\/7)*c*c\/(c*c*c**(-2)*c*c)*c)\/(c**4*c*c**0)) assuming c is positive.\nAnswer: c**(-116\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 9) to base 15\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1042 and (11 + -23)\/(2\/(-3)).\nAnswer: 9378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -k, 4 = 2*v - 0. Find the third derivative of -k*o**6 + 39*o**3 - o**2 - 39*o**3 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*w**2 + 978*w**2 - 40*w**2 - 19*w**2 - 92*w**2 - 221*w**2.\nAnswer: 384*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 5, 7, 3, -259 in increasing order.\nAnswer: -259, -1, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20 + 7*u**3 - 9 - 15 wrt u?\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - 88*p - 15. Determine k(-16).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(330\/216))\/((-2)\/(-10)). Suppose 3*f - t - 174 = 0. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-3*k**4 + 0*k**4 + k**4) + (-k + k - k**3)*(7 + 35*k - 7)*(-1 - 2 - 4).\nAnswer: 241*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -33. Let z = t + -13.00112. What is z rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26304072 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1171 divided by -6.\nAnswer: 1171\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 12. Let f be b(5). Let s = f - -49. Suppose x + 13*x**2 - 25*x**2 + 1 + 1 + s*x**2 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (18 - 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1250933, 2501648, 3752363, 5003078, 6253793?\n\"Answer: 1250715*q + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 29 = -0*l + 1603*o - 1608*o, -19*o - 38 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 5*n + 876034, 2*u - 3*n = 1752096. Let t = -3446293 - -670239. Let f = u + t. Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/(2\/40). Let b = r - 8. Sort b, 2, -1.\nAnswer: -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) - (-5508)\/(-756)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11189 and 0.349.\nAnswer: -3904.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/3 - 209*p**4 - 4286*p**3 - 52946*p**2\/3 - 23277*p - 9705 = 0. What is p?\nAnswer: -15, -3, -1, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/60 + s**2. Let h(a) be the second derivative of 51*a + 0*a**3 + 1 + 0*a**2 - 5\/12*a**4. Determine h(n(r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -8. Let b = -1 + w. Suppose 0*f = b*f - 3390. What is f rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.60523 - 3.583. Let l = n - 0.022. Round l to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677884213?\nAnswer: 1601, 423413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2057\/2 or 24095?\nAnswer: 24095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 2*i + 10. Let n(v) = -v**2 - 27*v - 22. Let t be n(-26). Suppose 0 = -4*y - 4, -21 = -0*m + t*m + y. Is k(m) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12443322112 (base 5) to base 8\nAnswer: -73415661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u = -78*u + 650 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/50 + 2*q**4\/5 - 11*q**3\/15 - 47*q + 3. Factor s(y).\nAnswer: -2*y*(y - 11)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z - z = -42*z - 1640 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1218.1 - 1218. Which is the nearest to g? (a) -1 (b) 0.3 (c) 3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153 + 153 - 15*i**3 + (0 + 0 + i)*(5*i**2 + i**2 - 5*i**2).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:54 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 131\/3 - 2\/(-6). Let f(a) = 210*a + 1054. Let z be f(-5). Sort z, d, -1, 1 in increasing order.\nAnswer: -1, 1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*q - 0 + 3, -24 = -5*q + 3*f. Let s be (2 - (9 - -4)) + (-608)\/(-16). Solve -7 = 2*r + q*h + 6, 5*r + s = -2*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5043 + -5146. Let t be 21\/(-49)*(-2)\/(-3). Which is the second biggest value? (a) h (b) t (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k - 46*k + 99*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 6, y: 3, k: 3, q: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = o, 5*r - 6449 = -1036*o - 38*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3884.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.721 take away 3?\nAnswer: 50.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -3*h**4\/2 + h**3\/3 + h**2 + h - 4. Let k be 0 + (-2 - (-2 + 1)). Determine m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 <= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) -1\/5 (b) 2\/45 (c) -0.3 (d) 1\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 2. Suppose 3*c + c - 4 = 0. Let y be (1\/(-1) - c) + 0. List the prime factors of l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*s = 10, -606*h + 5*s - 30 = -605*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 + 332*b + 12*b**2 - 11*b.\nAnswer: -5*b**2 + 321*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkykyyakaykaylaak. Give prob of sequence ax.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/54*-50 + (-4)\/(-18). Let n(s) = 5*s - 13. Let z be n(a). Calculate the greatest common factor of z and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 2*c + 75, x - 36*c - 5*c - 7344 = -7961 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let q(t) = -t. Let g(l) = -5*q(l) - 4*r(l). Let s(a) = -6 + a + a + 1. Let u(v) = -2*v + 6. Let m(d) = -6*s(d) - 5*u(d). Give g(m(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29064*n + 29166*n - 714 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4322 + -5?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499) - 2*sqrt(2499) - sqrt(51))\/(sqrt(363)*-2).\nAnswer: 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-14)*(0 + 0). Let o(z) = -z**2 - z. Let f be o(l). Solve 0 = -5*q - f + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 315951, 630824, 945697, 1260570, 1575443, 1890316?\n\"Answer: 314873*f + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4*-4)\/(((-1701)\/6)\/9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10343 or 10338?\nAnswer: 10343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**5\/20 - y**4\/4 + 2*y. What is the units digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -347, 2, 1 in increasing order.\nAnswer: -347, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 177*d**2 - 95*d + 379. Calculate l(89).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86942593771614 + 0.1?\nAnswer: 86942593771614.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219 and 5.\nAnswer: -1.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.027 * -2.\nAnswer: -32.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = -2*m - 6, -5*p = -5*m - 5. Is (1\/3)\/(m\/78) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 + 7*i**4 - 6*i**4 - i**5 + 12*i**2 - 20*i**3.\nAnswer: -i**2*(i - 6)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2966 + -2866. Calculate the remainder when 302 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41 and 7\/137183.\nAnswer: 137183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - a + 184, 2*a - 144 = -4*c - 2*a. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 330\/4*1\/155. Let f = -1\/31 + w. Let a = -953 - -953. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 3*n**2 - 2*n**2 + (4 - 2 + 0)*(547*n**2 - 288*n**2 - 141*n**2) as q + w*n**2 + g*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 104 times 6\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*j - 44 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 - 13932757*y\/3 + 194121717621049\/6.\nAnswer: (y - 13932757)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nns when three letters picked without replacement from ssskbsksnnsnnsn.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -983 + 1. Let p be 6\/(-4)*(-10 - 28). Is x\/(-6) + (-38)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1700)\/30)\/(-10)*(54\/6)\/(-9)*-3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 0. Suppose n = 3*a + 3*a - 48. Which is greater: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycyc when four letters picked without replacement from jucccjyyucujjucy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18407 - -18412. Let f(n) be the second derivative of -21*n - 1\/2*n**3 + 0*n**2 + 0 - 5\/4*n**4 - 27\/80*n**c. Factor f(p).\nAnswer: -3*p*(p + 2)*(9*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2693.498.\nAnswer: -808.0494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 4. Determine f(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3)\/(-6)*12\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 21 + 87. Suppose l = 6*j - 3*j. What is the remainder when 30 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -96, 0 in decreasing order.\nAnswer: 11, 0, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 675*w**2 + 158937840*w + 9356013697728 = 0. What is w?\nAnswer: -1765976\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 8*u - 8. Suppose -2*q - 6 + 4 = -2*d, 0 = -q - d + 7. Suppose -4*c + 8 + 8 = 0. Suppose o = 4*w - 25, 0 = c*w - q*o - 21 - 6. What is t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, t: 5}. What is prob of picking 3 i?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-12))\/(3\/(-10)). Let g be (r - 6)\/((-2)\/8). Sort g, -3, 5.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + b + 13*b - 4*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7912, 31801, 71656, 127477, 199264?\nAnswer: 287017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -357418*s**2 + 1730. Let k(l) = -4156*l**2 + 20. What is 173*k(h) - 2*z(h)?\nAnswer: -4152*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i + 6. Let t(h) = 6*h**3 + 26*h + 3. Let m(g) = 5*g**3 + 25*g + 2. Let n(l) = i*m(l) + 2*t(l). What is the second derivative of n(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -7) + 0 - (1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/540795 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(2*f - 3*f - f)*(5 + 13 - 14).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 4 - 10)*(-2*t + 5*t - t) + (2*t + 3*t - 7*t)*(11 + 8 - 8) to the form f*t + w and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let l(f) be the second derivative of -4*f**4\/3 - f + 6. Determine l(g(w)).\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1 and -2438171 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.14751 - 0.3\nAnswer: -0.44751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16034980.\nAnswer: 2, 5, 13, 61673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 80 = 76. Suppose 3*k = 2*k - 3. Let u = k - -7. What is the highest common divisor of u and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -362410.\nAnswer: -1\/181205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.5. Let q = 3457.27630069 + -3457.0763. Let b = f + q. Round b to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 2, i: 2, w: 5, q: 2, t: 2}. Give prob of sequence wqq.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -902, -900, -896, -890, -882, -872?\n\"Answer: y**2 - y - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.36.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**(-39))**(-23) assuming j is positive.\nAnswer: j**(-5382)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27*k + 15. Let i be (-1)\/((-3)\/6) + -5. Let n be y(i). Let g = n - -34. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7802351 less than -43740.47?\nAnswer: -7846091.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaiibaoliabob. Give prob of picking 1 g, 1 a, and 1 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 - 3*o - 10. Let z be n(-7). Let y(b) = 16 + 147*b - 54*b - 47*b - 45*b. Is y(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10738 and 81\/952.\nAnswer: 730184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -240, -487, -880, -1467, -2296, -3415, -4872?\nAnswer: -6715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304*m = 2847*m + 13575 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.625 - -0.125. Let l be (-9 - -1 - 0) + 1. Let z be -2 - -1 - 11\/l. What is the closest to -2\/3 in 1, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 14*r**2 + 10 + 10 + r**2 + 4*r**2 - 16*r - 36. Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 30*g - 3. Let j(m) = 20*m + 2. Let w(x) = 3*j(x) + 2*t(x). Let n(k) = 2*k**2 + 1558*k. Determine n(w(h)).\nAnswer: 8*h**4 + 3116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 5*a + 4. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 4*h**2 - 122*h + 242. Let o be c(2). Let k = -11.82 - -12. Let p = 0.2 - k. Is p at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150375, 300673, 450791, 600639, 750127, 899165?\nAnswer: 1047663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55524.07 grams to tonnes.\nAnswer: 0.05552407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(i\/i**(-15\/7)))*i)*i**(5\/8))\/(i**(8\/5))**(-6\/11) assuming i is positive.\nAnswer: i**(-8147\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6825 divided by 25.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -438175 + 438205. Let v = 4 + -2. Suppose 74 = v*a + 2. What is the lowest common multiple of a and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 5*z - 75, -5*z - 100 = -5*c. Suppose c = 2*m + 3. Suppose 2*g - 5 = m. Solve -4*l = -0 + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1142*m + 1146*m - 17524 = -3*b, 0 = 4*m + 4*b - 17520. What are the prime factors of m?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-30)*2)\/(4\/50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 16}. Give prob of sequence nnl.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -0.3, 0.023?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 8. Let n = -5 + d. Let u = -5.2 - -5. What is the second biggest value in u, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.100000458 - 52.1. What is c rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/3 + 110*m**3\/3 + 522*m**2 + 486*m.\nAnswer: 2*m*(m + 1)*(m + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8 * -0.0168.\nAnswer: -0.08064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*z = 8, -g - z = -3*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -83. Solve -4*p = -p - 4*s - 29, p - 3*s - n = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3465, -3 in descending order.\nAnswer: 3465, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824 less than 42?\nAnswer: -3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 2, q: 3, c: 1, a: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {j: 3, z: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415887309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4870, -7449, -10026, -12607, -15198, -17805?\n\"Answer: -y**3 + 7*y**2 - 2593*y - 2283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/24)*v)**(9\/7)\/(v\/(v*v**18\/v))**(-42) assuming v is positive.\nAnswer: v**(-39909\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -0.69\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -714.3482 rounded to the nearest integer?\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 78. Let g = -3\/5 + a. What is the smallest value in g, -4, 1, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/18581 or 1?\nAnswer: 5\/18581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {a: 6, n: 3, w: 2, k: 3, g: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (-7 - (21 + -18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 301 - 197. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7 + 16*i**3 - 15*i**3 - 4 - 19*i as r*i**2 + y + t*i + a*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**8\/336 + k**6\/360 + 3*k**3\/2 - 2*k**2. Let x(z) be the first derivative of a(z). Find the third derivative of x(h) wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 + -13. Round u to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 76\/114. Let h(c) be the second derivative of 0 + x*c**2 - c - 1\/12*c**4 + 1\/3*c**3. Factor h(s).\nAnswer: -s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 9) in base 2?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppulplzxpqxqp. What is prob of picking 2 p and 2 l?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 - 12*j + 5. Let t(v) = 17*v**2 + 22*v - 10. Determine -11*s(w) - 6*t(w).\nAnswer: -3*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36683447959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3336, -3229, -3122, -3015, -2908, -2801?\n\"Answer: 107*s - 3443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -31. Which is the biggest value? (a) i (b) 0 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 - 6*w - 5. Let m(f) = -f + 1. Let o be m(-5). Let n be g(o). Let b = n + -7. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103478820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 20*g - 2022. Calculate f(56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 greater than -612\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -519, -532, -575, -660, -799, -1004?\n\"Answer: -2*x**3 - 3*x**2 + 10*x - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 11 + 7 + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let f(t) = -3*t - 3. Let p be f(m). What is the second derivative of -p - i + i**3 + 3 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = -y, 8 = v + v. Let q be (19\/(-3) - (-19 - 11)\/5)*9. Is y greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222 (base 3) to base 2.\nAnswer: -10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affaffafaaffafafaaa. What is prob of picking 4 f?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w - 1. Let i be f(2). Suppose -i*q + 115 = 5. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 10*o**2 + 0*o**2)*(-o - 3*o + 3*o)*(-11*o + 10*o + 6*o) in the form f*o + r*o**4 + y + h*o**2 + x*o**3 and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1403000 (base 6) to base 10.\nAnswer: 78408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5337377.\nAnswer: 5337377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131 - -113631?\nAnswer: 113500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -50*v + 23*v - 53*v - 139. Is m(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(637) + sqrt(637) + (sqrt(637) + -1 + sqrt(637) - sqrt(637))**2).\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -2) + 7 - ((15 - 4) + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 7*y - 5.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -207254 to the nearest one thousand.\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20144600*c**3 - 24*c**2 + 33355*c?\nAnswer: 120867600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1494.6 + 1497.6. Which is the fourth biggest value? (a) 0.2 (b) 79\/3 (c) -4 (d) -1\/3 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6694*x**3 + 8*x**2 - 14*x - 21. Let h be j(-1). Calculate the highest common divisor of 130 and h.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {r: 4, d: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 + 168.058. Let n = d + -0.018. Let g = -2134\/3759 + -2\/537. Sort -0.2, n, g in decreasing order.\nAnswer: n, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*v + 31. Suppose 2*u = u + v. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = 3*v, 13 = 4*t + v. Suppose t*p - 12 = 0, 5*w = 5*p - 1781686 - 1768329. What is w rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)**(1\/42)\/((j*j**(-1))\/j**5))\/((j**(1\/2))**(21\/5))**(1\/28) assuming j is positive.\nAnswer: j**(514\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let f = 4 - y. Let q be f\/(-3)*6\/(-4). Which is the nearest to -0.1? (a) -3 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 5266632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63096 divided by -44?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2\/3*m**5 + 4\/3*m - 26\/3*m**2 + 10\/3*m**4 - 2\/3*m**3 + 16\/3 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 4*z**3 - z**4 - 5 - 12 + 2*z**2 - 5*z**3 to the form u*z**4 + k + y*z**3 + m*z + t*z**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7065 - -35481\/5. Let h = n - 184\/5. Find the common denominator of h and -95*(-1 - (-3)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87293.54 litres?\nAnswer: 87293540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o - 1. Let w(u) = -6*u**3 - u**2 + 7*u + 5. Let m(g) = 5*t(g) + w(g). Solve m(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/5 - 7611096*v**2\/5 + 45666846*v - 342502020 = 0.\nAnswer: -3805578, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 36376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54350 (base 7) to base 14.\nAnswer: -4d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ddffdfefcddedfdffddd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from ffffsfssfsc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 1. Suppose 5*t + k = 13, w*t - 4*k = -0*t - 4. What is the third derivative of -5*c**t - 2*c**4 + c**4 + 5*c**4 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**3 + 8*d**3 + d**3)*(-8 + 2 - 1)*(-1 + 1 + 2*d).\nAnswer: -266*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47246438209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1056*x - 347*x - 357*x - x**3 - 352*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 373645 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {n: 1, o: 1, h: 2, q: 1, k: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-192)\/20)\/(-8)*(-2670)\/(-9) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 33*b + 325. Give g(17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15\/10 - (-55)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -53*z + 15. Let o(f) = -54*f + 16. What is 5*n(j) - 4*o(j)?\nAnswer: -49*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 equal to 56988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87236912 to the power of 1\/2, to the nearest integer?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 627816 and 1110?\nAnswer: 3139080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + o)*(-4 - 18 + 4) + 3*o - 2*o + 0*o + (-1 + 3 + 0)*(6*o - 2*o - 2*o) - 2*o + 0*o - 2*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 662901 and 139017.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.7. Let b = 4 - 3. What is the nearest to b in -2, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1383\/4 in increasing order.\nAnswer: -1383\/4, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 40.\nAnswer: -91\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.81 + 0.61. Which is the smallest value? (a) 5 (b) i (c) 0.085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 3*i - 0*i, -9 = -3*h + 3*i. Let b be (h\/(-3))\/((-3)\/18). Let j(l) = -15*l. Let r be j(-1). Solve -t - b*t = -r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 966 + 4180. What are the prime factors of n?\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192))**2 + sqrt(3) - -3*2*sqrt(3)) + 1*(sqrt(3) + sqrt(54)\/sqrt(2)) + 3.\nAnswer: 11*sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*v - 1 - 2*v**4 + 3712*v**3 - 3714*v**3 + 4*v**4 - v**2 to the form q*v**4 + a*v + p*v**2 + d*v**3 + o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13389182 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/19 + 3280*l**2\/19 - 1344800*l\/19.\nAnswer: -2*l*(l - 820)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:55 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11 - z + 0*z - 2*z. Let m(t) = 4*t + 17. Let x = -22892 - -22897. Give x*m(b) + 7*n(b).\nAnswer: -b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a + 2\/7*a**4 + 32\/7*a**2 + 20\/7*a**3 + 0 = 0. What is a?\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0626858 rounded to 4 decimal places?\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12619648 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 11?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309916070.\nAnswer: 2, 3, 5, 4851541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((256\/(-4032))\/((35\/252)\/(-5)))\/((-9)\/(-42))?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 0*y - 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265667 to the power of 1\/2, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(320) - -4*(sqrt(320) - -2*sqrt(320)))*-2*4*2.\nAnswer: -4992*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/17 - (-74)\/(-629))\/(-5). Put r, -1, 1, 25 in ascending order.\nAnswer: -1, r, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28234, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9661, -9692, -9763, -9892, -10097, -10396, -10807?\nAnswer: -11348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820815311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + -2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.420375ng in grams?\nAnswer: 0.000000002420375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 5*b**3 + 0*b**3 + 3*b - 5*b + b**2 in the form z + a*b**2 + d*b + p*b**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1085453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdccvdcccvccvcccc. Give prob of sequence vvv.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -6 + 41 + -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1068 and 2456044?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let i = -2 + 5. Let g be -1*((3 - i) + f). What is the greatest common divisor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 28 = -0*b + 4*b, -3*b = 3*f + 9. Let i(g) = 7*g + 22. Let t be i(-3). Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1248\/(-728))\/((-5)\/350). Let d = 1 + 2. Calculate the greatest common divisor of s and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.008 and 9.\nAnswer: 324.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/356 and 61\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 5. Let s be i(-4). Suppose 0 = -3*q + 5*b + 43 - 6, -q + s = -3*b. Suppose -38 = -6*z - 20. Solve -19 = -5*m - q*k + z, -k - 7 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhx when three letters picked without replacement from {x: 1, h: 3, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24640\/4224)\/((-21)\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.05 - -0.05. Let o = u + 11. Let g = -3.999994 + o. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 54. Suppose m = -39*c + 31*c. Solve 2*a + c = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-176402)\/(-6). Round k to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/20*((-22464)\/52)\/54\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 103*c - 978. Determine k(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/84688 or 5\/29?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*c - 66*c + 129*c as j*c + w and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3233 - -32303\/10. Let o = m - -1\/5. What is the nearest to -0.12 in o, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -362256, -724821, -1087386, -1449951, -1812516?\n\"Answer: -362565*r + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 4*y**2 + 0*y**7 - 5\/24*y**4 - 1\/56*y**8 + 0*y**3 + 0*y**5 + 0*y**6 + 0 + 0*y. Find the second derivative of u(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1650, -1654, -1672, -1710, -1774?\n\"Answer: -i**3 - i**2 + 6*i - 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/8 - 1)*(29 - 25). Let f(b) be the third derivative of 0*b**q + 0*b**5 + 0*b - 1\/12*b**4 + 0 + 4*b**2 + 1\/60*b**6. Determine y, given that f(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.771 to 0 decimal places.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11509123 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20*t = -21*t + 1, -5*m - 3*t = -3. Suppose -2*i + 2 = -4*q, -q = -3*q + 2. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + 11*l**2 - 5*l**2 + (-4*l + 3*l - 6*l)*(5 - l - 5) as i*l + x + h*l**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 5*f - 5*f. Let j(d) = -d**2 + 7*d - 3. Let q = 49 + -42. Let k be j(q). Give y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -11. What is the closest to 2\/5 in -3, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0 + 0) - 1. Let r(p) = 4*p**3 + 2*p - 1. Let g be r(k). Let l be ((-14)\/4)\/((-5 + 66\/16)*2). Solve 0*z = -2*z - g*t + 4, -z + l*t = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2747\/3 + -857. Let p = -58 + b. Let u be 0 + ((-36)\/(-21) - 2). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -2\/339 (c) -16 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 232\/4*(2 + -1). Suppose 5*b + 38 - g = 0. Let h(l) = -4*l**3 - l**2 + 3*l - 5. Let x(w) = -3*w**3 + 4*w - 4. Let y(p) = 2*h(p) - 3*x(p). What is y(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 77.83 (c) -29 (d) 0 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 c when four letters picked without replacement from {c: 3, t: 2, z: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/1)\/(12*4\/(-20)). What is the third biggest value in q, 2, -0.1, 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (91\/((-4732)\/832)*(-2)\/(-8))\/(4\/10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 73*f - 205. Give o(-41).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496627311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35355645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*p + 2*p = -21, h + 4*p = -9. What are the prime factors of h\/(-3) + (-1 - -30)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 117*p. Calculate j(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 22*v - 14. Let m(y) = 6*y**2 - 33*y + 21. Let s be -10 - 0 - 8\/(-4). Let b(u) = s*f(u) - 5*m(u). Is b(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*v = -3, 4*v + 71 = 2*w + 69 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2351660499 to four dps.\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -119, 4, -1, 3\/2?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577221643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-616)\/(-84) + 88\/(-18) and 5\/3081?\nAnswer: 9243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.46 + 0.04. Let x = k + -3.7. Let s = x + 0.2. Which is the biggest value? (a) -4 (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 + 43?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + (8 - 4 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0 + -164?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/13*(-43)\/(-516))\/((-69)\/46).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(19) + sqrt(171)*1.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 29. What is the least common multiple of 43 and x?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58437801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and 83674 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.315\nAnswer: -0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.013 + 3.013. Let g = -17248.0102 + 17245. Let y = w + g. What is y rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1640832.33\nAnswer: 8204161.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiyidyid. Give prob of picking 3 y and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1005, -975, -933, -885, -837, -795, -765?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2 (c) -3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -58*k**7\/21 - 4349*k**3\/6 - 2*k**2 - 1160*k. Find the first derivative of j(s) wrt s.\nAnswer: -2320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 + 8 - 8)*(2*w**3 + 7*w**3 + 10*w**3 + (-3 + 1 + 1)*(12*w**3 + 84 - 84)).\nAnswer: 49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 1, y: 3, p: 1, s: 1, f: 2}. Give prob of sequence vvf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 783 - 2*u - 43*u - 395 - 386.\nAnswer: -40*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1706*m - 58411 = 4218*m + 21973 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 381*m + 55256. Determine a(-145).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*t + 29 = -41, -2*r - 4*t = -170. Factor 40*c**2 + 118*c - 176*c**3 + 85*c**3 - 18*c + r*c**3.\nAnswer: 4*c*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14310 and 125663.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/(162\/(-126)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 12*p = 4*p. Suppose p = -39*d - 17 + 95. Solve 0 = -3*k + 2*j - 6, -1 = d*k - 3*j - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let d be (-12)\/9*(-3)\/2. Let a(v) = 0*v - d + 4 - v - v. What is 4*a(o) + 7*z(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155405851?\nAnswer: 3307, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2796 by -299.\nAnswer: 2796\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 8, 4 = p + 2*n + 2. Let v(u) = -u**3 - 5*u**2 + 7*u + 6. Let l(g) = 3*g**3 + 9*g**2 - 15*g - 12. Let r(x) = -2*l(x) - 5*v(x). Determine r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 1. Let r(d) = -d. Let p be r(-3). Let v = -3 - -1. Let y be v\/(-6) - (-5)\/p. Determine x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -331*u + 8810. What is a(25)?\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2143*p**2 + p.\nAnswer: -p*(2143*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 2*x + 3*x - 2*x. Let k(d) = 7*d. Give k(b(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 2*f + 0*f + 0*f - 8*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176161 (base 8) in base 16?\nAnswer: 4fc71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 677*b**3*o*u*z + 3*b**3*o + 1675*b**3*z - 5*b**2*o*u - b**2*u + b*o*u + 10*b*u*z - 10*b*u + u*z - 12 wrt b?\nAnswer: 4062*o*u*z + 18*o + 10050*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 8)*4\/(-10). Let r = 25 + c. Calculate the remainder when 60 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -1\/4*a**3 + 1\/448*a**8 + 1\/40*a**5 + 0*a**7 - 1\/40*a**6 + 3\/32*a**4 + 2*a**2 - 20*a + 0. Suppose k(o) = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, 1 c, and 1 n when four letters picked without replacement from dkndhdodndddhchddcd.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**25*t*t*t)\/t**(-12)*t**(-22)\/(t\/(t*t**27)))**(-9\/2) assuming t is positive.\nAnswer: t**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/20 + 13*d**4\/6 - 28*d**3\/3 - 2202*d. Factor t(y).\nAnswer: y*(y - 2)*(y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 40 + 2\/(-2). Let b = m - 21. Let g be (-2)\/(-5) + (-253)\/(-5). Calculate the highest common factor of b and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 - 5*b + 1. Let r be m(2). Solve -6*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14656591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -41, -2, 3 in increasing order.\nAnswer: -41, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1900) + 1 + 5)**2 + ((sqrt(1539) - (2 + sqrt(1539) - sqrt(1539)))**2 - (-2 + sqrt(19) + sqrt(76)\/sqrt(4))).\nAnswer: 682*sqrt(19) + 13161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v + 10. Does 15 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 3, x: 1, k: 1, u: 5, a: 1}. Give prob of picking 2 u and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 2*c - 25, 0 = -2*x + c - 32. Let l(p) = p**3 + 17*p**2 - 17*p + 31. Let f be l(x). Suppose -f*q = -10*q - 33. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*u**3 + 67*j*u - j - 2201 with respect to u.\nAnswer: 9*j*u**2 + 67*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176 and 96583263.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/2520 - 19*w**4\/12 - 26*w**2. Let g(l) be the second derivative of o(l). Let k(b) = 65*b. Give k(g(j)).\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13781199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 305*((-9)\/(-10) + 4\/(-8)). Find the second derivative of 38*d + 217*d**4 + 33*d - o*d - 1 wrt d.\nAnswer: 2604*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*f**2 + b**2*r - b**2 - 11*b*f + 413*f**2*r wrt b?\nAnswer: 4*b*f**2 + 2*b*r - 2*b - 11*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, k: 1, g: 2}. Give prob of picking 2 x and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -c - 196589 + 43903, 61096 = 2*k + 5*c. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.74 + 0.04. Let x = 103974 + -103971. Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65870755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -6*(sqrt(65)*1 + sqrt(65)) - (sqrt(65)*2 - sqrt(65))*1)\/(sqrt(5) - (sqrt(25)\/sqrt(45) + sqrt(5)) - (sqrt(35)\/(sqrt(7)*2) - sqrt(5))))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865194319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-6)*12\/9. Let j = 0 - g. What is the units digit of (10\/(-3))\/(4\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 3, i: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - 69?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 19. Let p be d(11). Let r(w) = p*w - w + w**2 - w + w. Calculate r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 879 divide 911030760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z**2 - 11*z - 11. Let i = 2 - 6. Let t(f) = 1 + 106*f + 3 - 102*f + 7*f**2. Let y(j) = i*h(j) - 11*t(j). Let p(q) = -4*q. Give p(y(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6856486 divided by 75346\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 48*r**2 - 81*r - 365. Let x be v(-44). Is x < -4545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 + 5 - ((-2)\/9 - (43326\/(-81))\/58)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - 1. Let o be n(-3). Let c = o + -7. Let p be 3*(c - -7 - 3). Calculate the greatest common divisor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4450150860 divided by -6\nAnswer: 741691810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*s + 19*s + 25*s)*(-5 - 31 - 44)*(-2 + 2 - 2) in the form a + v*s and give v.\nAnswer: 16960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/70686 and -1\/20493?\nAnswer: 4877334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, 0 + 5 = n + 3*y. Let d = -38 - -42. Put -2, d, n in decreasing order.\nAnswer: d, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/8)\/((-1)\/(-8)). Suppose -12 = l*p - 36. Let j be (-12)\/(-18) + 8\/p. What is the nearest to 0 in 4\/9, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Suppose -6 = 3*j - 4*q + 2, 0 = 3*j + q + 28. What are the prime factors of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 882*r - 2643. Determine s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p**4 + 11649*p**3 - 1447653*p**2 - 2930169*p - 1470888 = 0. What is p?\nAnswer: -659, -1, 744\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*h - 2*h - 48 = 0, -3*j - 32 = -5*h. Let t be (-41)\/(-144) + 2\/j. Let b = -165904 + 165903.5. What is the second smallest value in t, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 13*v + 366. Calculate r(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*z + 6. Let q(k) = -2*k - 11. Let g be q(z). Let f = 190 - 195. What is the biggest value in f, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 3*x. Suppose v - 273 = -x*g - 0*v, 3*v - 364 = -4*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 345. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 + -1917\/7. Let o = 0.07 - -2.93. What is the fourth biggest value in -2, o, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p - 7106. Let v(a) = -a - 1428. What is -3*o(u) + 16*v(u)?\nAnswer: 2*u - 1530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 - 4. Let u = 1.511 + 13.489. Which is the second smallest value? (a) u (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -31*g**2 + 6*g + 4. Let q(l) = 8*l**2 - 2*l + 1. What is -j(k) + q(k)?\nAnswer: 39*k**2 - 8*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1001011100 (base 2) to base 10\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310181582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*i + 3*u - 0*u, 3*u = -3*i + 180. Suppose -66*r = -i*r + 12. Sort -0.4, -47, r, -1\/6.\nAnswer: -47, r, -0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -24*u - 644. Let l(r) = -r**2 - 27*r - 77. Let y be l(u). Factor y*g + 10 - 5\/2*g**2 - 15\/4*g**3.\nAnswer: -5*(g - 2)*(g + 2)*(3*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.4 + -15. Which is the closest to 0.3? (a) k (b) 4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/60)\/((-20)\/(-6)) - (-3159)\/810. Let 2\/15*v**2 + i*v - 62\/15 = 0. Calculate v.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21970759.21 rounded to the nearest ten thousand?\nAnswer: 21970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(6\/9). Let o(t) be the first derivative of -t**4 - 2*t**3\/3 + t - 5. What are the prime factors of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.035.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0 - 2\/13*t**5 - 200\/13*t**3 + 0*t - 40\/13*t**4 + 0*t**2 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18 and 163\/1050?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 12 = 2*h, -4*u + 36 - 26 = 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y + 78. Let w = y - 24. Which is smaller: 16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1.3. Let u = 8.7 - k. Let l = 11.000023 - u. What is l rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908 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 -2649472404 divided by 6?\nAnswer: -441578734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 - 6*s + 7. Let v be (3 + -3)*(-13)\/(-39). Let a(q) = -q**2 + 6. Let h be a(0). Let n = v + h. Give b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1702658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 2*d, -d - 6 = -c - c. Let i(s) = -2*s**2 - 2*s**2 + c*s**2. Let y(p) = -6*p**2 - 4*p**2 + 12*p**2. What is y(i(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2030 and -103\/6090.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221397169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-1 - (1 + 0)). Let p = 1595 + -1600. Which is the smallest value? (a) t (b) 3 (c) 0.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -5.839?\nAnswer: 5.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose 4*v - 3 = d + 10, k = 3*v + d - 1. Is (0 + v)*55\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -14*l - 304. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5713*u - 137106. Give t(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.21? (a) 1 (b) -2\/37 (c) -0.3 (d) -0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72590*t = -72829*t + 17922 + 10280 for t.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*s - 2*x - 31 = -167*s, -s - x = -2. Solve -n = -5*i + 24, -s*n - 2 = i - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(0 - -4) + 3. Let d be 19 - (-4 - 0 - -3). Is d + j + -3 + 1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u**2 + 22. Let c be d(6). Let o = 53 + c. Solve o*b = -12 - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8694 times 0.5\nAnswer: -4347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007416 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2605 - 2604.9. Let y be (-1)\/((-10)\/(-36))*-5. Is y at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11162042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*i, 0 = 2*k + k + 4*i - 3. Let p(s) = 18*s**2 - 2. Let b be p(k). Suppose 2*n = 6*n - b. What is the remainder when n is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -8 (c) -3 (d) 3.0749 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1640 and 3936.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*k - 17. Let u = k + -2. Let i(j) = 0 + j**3 + j - 4 + 3*j**u + 0 + 2*j**2. Determine i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(10\/45 - (-304)\/9). Suppose 4*w - 26 = m. Suppose -2*u - 77 = -6*u - 3*b, 0 = -5*u - 5*b + 100. What is the remainder when w is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - z - 95, -16*p + 21*p + z - 121 = 0. Suppose 35*g + 33 = p*g. Let q = 1 - 1. Put -10, g, q in decreasing order.\nAnswer: q, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b270 (base 13) to base 15\nAnswer: 2b210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 12.5. Let q = l + -34. Round q to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218611178 and 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/13)*u**(-6)*(u**(-1\/4))**(-16))**(-3\/8) assuming u is positive.\nAnswer: u**(33\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 142 = 3*o. Let t = -2 + o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**2 - 15*t**5 + 5*t**2 - 4*t**5 - 9*t wrt t?\nAnswer: -380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 3404840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 3, -2, 0.1169, -0.3 in decreasing order.\nAnswer: 3, 0.2, 0.1169, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 686 divided by -32\nAnswer: -343\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5508.112l to millilitres.\nAnswer: 5508112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*y - 3932, y + 1981*w - 965 = 1983*w. What is the remainder when y is divided by 74?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 3*g**2 + 2*g**2)*(8*g + 11 - 5*g - 4).\nAnswer: 3*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/10)*s**(4\/7))**(-1) assuming s is positive.\nAnswer: s**(-19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 28\/(-6) - -1. Let z(u) = -u**3 + 2*u**2. Suppose 0 = -4*t + 3*t + 2. Let n be z(t). Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 26*z - 132. Let c be p(-10). Which is smaller: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 147.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 9*q - 1. Let d(c) = 5*c**2 + 18*c + 3. Let y(h) = -3*d(h) - 7*p(h). What are the prime factors of y(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5841999985?\nAnswer: 5, 1168399997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1682*r - 14301. Is b(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 8*r**2 + 7*r - 7. Let b be a(-7). Let n = b + 13. Let j = 4 - n. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 5*g = 2, -5*g - 6 = -2*w. Let x = 11 + w. Suppose 5*m + 15 = 5*b, 3*m = -4*m + 2*m. Calculate the remainder when x is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/324*-9*0\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3551 and 795.\nAnswer: 53265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*f - 635*f - 14*f**2 + 182*f**2)*(-4*f + 0 + 11*f + 3*f + 1).\nAnswer: 1680*f**3 + 238*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxxl when four letters picked without replacement from {g: 3, x: 3, l: 1, o: 2, m: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-168)*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -2 + 2.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2 + i + 1. Let d be k(-1). Suppose -3 = 4*o - 5*o - 2*f, -5*o = 3*f + 20. Let x = o + d. Solve -3*n - 12 = 5*a, -x*a - 5 = -2*n - 2*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:51 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 7 - 48) + (-284 - -281)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10161785559599 and 0.3.\nAnswer: -10161785559598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19144334?\nAnswer: 2, 11, 870197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4880*m - 278389. Determine s(57).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 577, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 71*d + 12. Calculate n(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5874*c + 77099. Determine g(13).\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a factor of 198500150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxxxxxbxxxb. Give prob of sequence bb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 - 834*c**2 + 1666*c**2 - 832*c**2 - 3*c**3.\nAnswer: -3*c**3 + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 148. Let v be -3*2*10\/(-20). Suppose -v*g = -g - j. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12288462 or 12288469?\nAnswer: 12288469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 3*s + 2. Let j be q(2). Let c = 41 + -29. Find the second derivative of j*x**4 - c*x**4 - x - 3*x**5 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, 2, 1, -4 in descending order.\nAnswer: 4, 2, 1, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from qhettmme?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - m**2 - m. Let u(b) = -6*b**3 + 6*b**2 - 5*b. Give u(w) - 5*v(w).\nAnswer: -w**3 + 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1547 and 29\/1001.\nAnswer: 17017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 848706*d + 848679*d - 14*d**2 - 2*d**2)*(0*d + 0*d - 2*d).\nAnswer: 32*d**3 + 54*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 16\/(-88) - 16\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -2\/3, 0.002, -2\/7, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_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: Convert 5.55805 decades to millennia.\nAnswer: 0.0555805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 + n - 29. Let p(q) = -q**2 + 7. Let a(t) = 9*p(t) + 2*v(t). Let y be a(-5). Solve -6*k = -k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -20000221120101?\nAnswer: -20000221120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 1176*x**3 + 142848*x**2 - 5529600*x.\nAnswer: 3*x*(x - 200)*(x - 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-24))\/d)**(-4))**(2\/95))**(2\/73) assuming d is positive.\nAnswer: d**(384\/6935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let o = 2 - -1. Let q = -3.3 + o. Which is the second smallest value? (a) h (b) -3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584405?\nAnswer: 5, 11, 65171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 59*32\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -31*z - 1. Let a(k) = -15*k - 1. Let m(f) = -5*a(f) + 2*p(f). Let j be m(6). Let d = j - 14. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/5 - 246*z**4\/5 - 7377*z**3\/5 - 33788*z**2\/5 + 85776*z - 152640 = 0?\nAnswer: -212, -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 349086300 to the nearest 1000000.\nAnswer: 349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 30*s + 12 = -2*f + 35*s - 7*s, -2*s + 6 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 smaller than 1552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 78063*g**2 + g + 78063 = 0. What is g?\nAnswer: -78063, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 5) + -13 + 2 + 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-2\/7)*f)))\/((f\/(f\/f**3))\/f)*(f\/((f\/(f**5\/f))\/f))\/f**(2\/3))**(-4) assuming f is positive.\nAnswer: f**(-256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.016 and -445561347?\nAnswer: 445561346.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*x - 4*n + 5, 4*x - 2*n + 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/5 + 859352332*r**2\/5 + 92310803814229778*r\/5 = 0.\nAnswer: -214838083, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 2*c - 10 = 4*r, 0 = -c + 5. Solve t - r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(56)\/sqrt(2)*1)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/840 - x**6\/540 - x**5\/360 + 2*x**3\/3 + 8*x**2. Let f(y) be the first derivative of z(y). Factor f(l).\nAnswer: l*(l - 1)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3069 = -10*i. Calculate the greatest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3210 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43246462, -86492947, -129739432, -172985917?\n\"Answer: -43246485*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4\/8 + 249*x**3 + 342261*x**2\/8 + 950127*x\/2 - 1036191\/2 = 0.\nAnswer: -326, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a263 (base 12) to base 4\nAnswer: -10103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:42 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.442, 5, -18\/11, -6\/287 in decreasing order.\nAnswer: 5, 3.442, -6\/287, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/6 + i**3\/2 - 2*i**2 - i. Let k be j(-3). Solve 0 = 5*q - 5*f - 5, -3 = -k*q + 2*q - 3*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1136 by 6.\nAnswer: 568\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 425025409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 2*c)*(-1 - 1 - 1)*(-38*c + 10*c**2 + 38*c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 7*z - 117 = -238 + 113, 4*w + 56 = 4*z for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 19*h**2 - 2*h**2 + 0*h**2 - h**3.\nAnswer: -h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*(2*w - 4*w + 0*w + (-1 - 1 + 4)*(5*w - 4*w + 2*w)) to x*w + j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42567 is divided by 430?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605)*3)\/sqrt(11))\/((sqrt(120)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5288 + -5283. Which is the closest to 2? (a) 0.1 (b) 0.01 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0202 + -172.6798. Let q = g + 173. Which is the fourth biggest value? (a) q (b) 2 (c) -14 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + 5. Suppose -463*z - 189 = -472*z. Calculate the lowest common multiple of a and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -4274829?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1089306)\/(-648))\/73 + -23.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**2 - 5 - 5 + 7 + 2.\nAnswer: -38*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426408.2l to millilitres.\nAnswer: 426408200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-6))\/(11\/66). Solve 3 = 2*j - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-36)*(-7040)\/(-3080)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c + 19. Let a be q(0). Suppose 21*p - a = 2. Let j(t) = -16*t. Give j(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + (-5 - -3 - -15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2345, 3806, 4421, 4190, 3113, 1190?\n\"Answer: -423*c**2 + 2730*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l)\/l**(-2)*(l\/(l*(l\/l**2)\/l))\/(l**(-1\/7)*l))\/((l**2\/l)\/l**(-1)*((l\/l**(-3\/4))\/l)\/l**(-6)) assuming l is positive.\nAnswer: l**(67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160235, -320421, -480607, -640793?\nAnswer: -800979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196173 and 65178?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 625317 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000709 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {t: 1, h: 1, i: 1, r: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649568 divided by 32?\nAnswer: -114049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26705971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225462.\nAnswer: 2, 3, 53, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 17*n + 42. Let p be q(-19). Suppose -17 = -3*y - 14. Sort 0, p, y, 5 in descending order.\nAnswer: 5, p, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 719*x - 110*x - 2 - 28*x + x**4 + 3 - 3 - 2*x**4 + (2*x + 4*x - 5*x)*(0*x**3 - 3*x**3 + 2*x**3) + (1 - 1 - x)*(-x**3 + 5*x**3 - 2*x**3).\nAnswer: -4*x**4 + 581*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3645) + (-1 + sqrt(3645) + 0 - sqrt(3645)) + sqrt(3645) + -1 + -5)*5 + 1)**2.\nAnswer: -683640*sqrt(5) + 13166521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17550569.\nAnswer: 17550569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1000212111220 (base 3) to base 16\nAnswer: -85ee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14310 + -3?\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/14 + 6\/21. Let j be (-4 + 2)*z\/(-4). Let p = 6 - j. Solve 2*w = p*h + 1, 2*h + 2*w = -2*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19 + 13*p**2 - 19)*(-3*p + 0*p + 2*p) + (p - 4*p + 0*p)*(p**2 - 4*p**2 + 5*p**2))*(17 + 3*p - 7 - 8*p**2 - 9).\nAnswer: 152*p**5 - 57*p**4 - 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 7 + 0*b - 5 + 13. Suppose -3*x = 3*h - 18, -x + 0 + 3 = 0. Let q = -2 + h. Let r(i) = 5*i + 6. Give q*r(l) - 6*o(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g - 2*g - 2 + 2 - 6*g**2 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19202\/5685 - 25\/2274. Calculate the common denominator of w and (-101)\/((-7)\/((-14)\/(-60))).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5135)\/790)\/(1\/154). Which is smaller: -988 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -88\/5. Calculate the common denominator of g and (-88)\/(-21)*(-6)\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1)*3\/2. Suppose -99 = -r + 4*d, b*d = -4*r - r + 380. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/6 + t. Let a(l) = 30*l. What is a(s(o))?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 162 = 11*j. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**4 + 31*a**3 - 161*a**2 + 283*a - 182. Let x(r) = -3*r**4 + 32*r**3 - 160*r**2 + 284*r - 184. Let p(m) = -4*w(m) + 5*x(m). Factor p(y).\nAnswer: -3*(y - 4)**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/(-9))\/7*9. Solve 3*g + 4*i = i + 3, 4 = 4*g - j*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223797 or 223801?\nAnswer: 223801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3167 + 772?\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*a + 16, -205*a + 208*a = t + 24. Sort -12, 4, t, -5, 5 in decreasing order.\nAnswer: 5, 4, t, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -880 - -882. Let u = 24785.0117 - 24787. Let f = t + u. Round f to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 4. Suppose -4 - s = -2*r. Suppose -k + 8 = -r. What is the greatest common divisor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -440 and 29.3879.\nAnswer: -410.6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2830*c - 2875*c - 315 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 2\/(-6) - (-138)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 6:02 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1419*h**2 - 1 - 1 + 1420*h**2. Let r(t) = -1. Suppose 0 = -5*m, 2*m + 0 = -2*g - 2. Calculate g*v(p) + 2*r(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109432286 by -4451.\nAnswer: 24586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0)\/3 + 1. Suppose r = -7*b + 3*b. Suppose -5*x - i - 3*i + 59 = b, x = -2*i + 7. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-2*(-63)\/56*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**6\/30 + 109*a**5\/5 - 11881*a**4\/2 + 2590058*a**3\/3 - 141158161*a**2\/2 - 1721*a. Suppose u(q) = 0. Calculate q.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 14. Suppose -59*t - 72*t = -153*t. Give g(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 149715?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*p. Let q = -786137\/42 - -37437\/2. Find the common denominator of q and (-25)\/(-18) - (p - 1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1239 * 673.\nAnswer: -833847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.39645 kilograms to milligrams.\nAnswer: 74396450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 2. Let z(o) = -2*o + 1. Calculate -2*t(p) - 3*z(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 691541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -562 + 498. Let f be (-119)\/(-9) + w\/288. Calculate the highest common factor of f and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(720) + sqrt(720) + 1) + (sqrt(25) + 2*sqrt(100))\/((sqrt(5) - -2*sqrt(5))*-2).\nAnswer: -3 + 139*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from xzzxzzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 918330.9 litres?\nAnswer: 918330900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*u**4 + 4*u**3 + 1117?\nAnswer: 572*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3521038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*r - 100. Calculate the remainder when 111 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.12 - -3.\nAnswer: 15.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816775960.\nAnswer: 2, 5, 7, 11, 13, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14995 = 5*r, -35*r = -34*r + 4. List the prime factors of v.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4988 or 109705\/22?\nAnswer: 109705\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1508558200 to the nearest one hundred thousand.\nAnswer: 1508600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7 + 8 - 19 + 5*p. Let s = 13 - 3. Does 4 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x + 12. Suppose b = -g + 6, -b - 4*g + 6 = -0*b. Give z(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-5 + sqrt(304)*-3 + sqrt(304)) + ((sqrt(304) + (sqrt(304) + -3 + sqrt(304))*-5 - sqrt(304)) + sqrt(304))**2*-6.\nAnswer: -149104 + 6456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111001111000 (base 2) in base 7?\nAnswer: -244134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156100 is divided by 11995.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-30) + 13\/5. Solve f*i + 0*b = -2*b - 4, -5*i + 4*b + 35 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1))\/(-2) - -14. Let x(h) = 2*h**2 - 3*h - 5. Suppose -16 = -2*p + 4. Let n be x(p). What is the greatest common factor of n and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5298303480 to the nearest 1000000.\nAnswer: -5298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4))\/((-1)\/(-12)). Suppose a*h = -5*f - 193, -3*h - 5*f + 2*f - 183 = 0. Let z = -23 - h. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118*n**2\/7 - 11290*n\/7 + 224136.\nAnswer: -2*(n - 77)*(59*n + 10188)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19902*y**3 - 3*y**2 - 13*y + 218.\nAnswer: -119412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -2, 43, -7, 1, 3, 7 in increasing order.\nAnswer: -7, -2, 1, 3, 7, 43, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 30) + (0 - 0) + (6 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 7\/2 - 11*c - 5*c**3 + 1\/2*c**4 + 12*c**2 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m + 307. Let i be n(16). What is v in -4\/7*v - 2\/7*v**i - 6\/7*v**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13765449 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-6) - (-8)\/12. Let m = 8 + q. Suppose -11 = -m*c + 34. Calculate the greatest common factor of 75 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 6*j**2 + 8*j - 21. List the prime factors of n(7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 110 and 121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 5*z**2 + 188*z - 188*z + 0*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 695273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 30 (c) 2 (d) 0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -11. Let d = k + 10.66. Let v = -2.9 + d. What is v rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6*k + 3*k + 14, 0 = -2*t - 4*k + 12. Let c = -5 + t. Is c less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (2 + -9))\/1. Suppose 0 = 2*o - p - z, 0 = 5*o - 3*p + 2*p - 19. Suppose -2*q - 2*q = -o. Put 5, q, -2 in descending order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11210 divided by -2242\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-4)\/(-6) - 1). Let h(u) = -u + 9. Let v(c) = -c**3 - 22*c**2 + 24*c + 35. Calculate the smallest common multiple of v(-23) and h(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.55 + 28.45. Let n = 49.95 + -79. Let x = d + n. Put 2\/5, x, 2\/9 in descending order.\nAnswer: 2\/5, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 218*b + 1. Let w be d(1). Suppose 2*o = 2*g + 378, -4*g = o + g - w. Suppose 6*y - o - 70 = 0. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 28 = -11*z. Find the third derivative of 48*g**6 - 72*g**6 - z*g**2 - 14 + 58*g**6 - g**4 wrt g.\nAnswer: 4080*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2867397675 + -3570.7?\nAnswer: -2867401245.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 6. Let v = 55 - 26. Let a = v + -29.4. What is the biggest value in 1, a, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113041*p**2*v**2 - 5*p*v**2 - 6*p*v - v**2 - v + 246 wrt p.\nAnswer: -226082*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*z = -36, z - 2 = -t + 1. Suppose 0 = -5*c - 4*v + 11, 4*c - 4 = -2*v + 6. Suppose 4*m - 3 = 5. Solve s - c*f - t = m*s, 3*f + 6 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 205?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3445 (base 6) in base 7?\nAnswer: -2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 - 104 = -5*y, -3*y = -2*b - 100. Let s = -34 - b. Solve 2*n + s = 5*f, 4*n = -f - 2*f + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 4*l**2 - 3*l**2)*(-l - 3*l + 6*l) - 82 + 12*l**3 + 22*l**3 - 36*l**3 as q*l + d*l**3 + r + t*l**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -139213.\nAnswer: -3\/139213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-50)*1\/(6\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694332*r**2 - 346938*r**2 - 347391*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4 + 6. Suppose -5*a = -q*a - 615. Suppose -4*b - g + 820 = g, b - a = -5*g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**2 - 120*u - 155. What is w(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382 is divided by 342?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 at least 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(4 + 27\/(-6)). Let y(a) = 3*a - 8. Is 2 a factor of y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w*w)**(24\/7)*w**1*w*w*w**(2\/15)*w assuming w is positive.\nAnswer: w**(794\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5124, -10169, -15108, -19887, -24452?\n\"Answer: 9*s**3 - s**2 - 5105*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(252) + 1 + 1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 28*c - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*r - 6, 2*v + 5*r + 10 = 3*v. Suppose -8*l + 4*l + 488 = v. Let 1 - 1 - 4*u**3 + l*u**4 - 118*u**4 - 8*u**2 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8965661 divided by -6.\nAnswer: -8965661\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(1\/3)*z*z*z*z\/z**(-9)*z*(z**(-1\/3))**(1\/12) assuming z is positive.\nAnswer: z**(551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 118*y**2 + 119*y**2 - 360*y**2 - 2*y**3 + 2*y + 119*y**2 + y**3 + 5. What is h(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 5. Let w(d) = 1 + d**2 + 0 + 1. Let s be (5 - (-140)\/(-16))*4. Let j(p) = s*w(p) + 6*i(p). Let l(m) = -m. Determine l(j(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 342*k + 307. List the prime factors of m(3).\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y**(-9\/7)\/y assuming y is positive.\nAnswer: y**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33482076.\nAnswer: 2, 3, 41, 68053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 3, 14, -0.1 in decreasing order.\nAnswer: 14, 3, 0.13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -31 - -2 - (-14 + 17) - (2 + -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 5*b - 4. Let x be p(4). Calculate the greatest common factor of 280 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, r: 1, h: 2}. What is prob of sequence nh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 - -2730?\nAnswer: 270f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3072142?\nAnswer: 2, 1033, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5597)\/(15\/5 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.9 - 10. What is the closest to j in -2\/5, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2*c + 7)*(5 - 4 - 8) + 8*c - 8*c + 33*c to the form w*c + g and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 21. What is the remainder when r is divided by 18042\/2046 - 4\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 4*s + s)*(3 - 2 + 1) + (-s + 1 - 1)*(1 - 4 + 2) - 17*s - s + s + 5*s - 3*s + 3*s + (-5*s + 2*s + s)*(-1 + 4 - 1).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:48 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17430 = 16*t - 15701 - 228741. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 781 - ((-77)\/14 - -7)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6490 - 13334 + 6*m**3 + 6866.\nAnswer: 6*m**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 2\/11, -26, -4, 1\/2, 12, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1\/98*w**7 - 3\/70*w**6 + 0*w**2 - 9\/140*w**5 + 0*w**3 - 3*w + 0 - 1\/28*w**4. Suppose g(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -499 + 506 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*s + 23 - 157 - 55.\nAnswer: 3*s - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 488\/29, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 1. Let n be k(1). Suppose 5*p + 2*v = 3, 3*p = -5*v + 11 + 6. Put 5, n, p in ascending order.\nAnswer: n, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*l**4*u - 1706*l**3*t*u - l**3*t - 84*l**2*u + 134*t*u + 2*t + 1 wrt l.\nAnswer: 2736*l*u - 10236*t*u - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/7, -2, 8.6, -1, 2.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 4*b - 7*b. Let j(a) = 7*a. Give j(y(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 0 + 0)*(-57 + 29 + 30) in the form j*v + k and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59470*r + 58487*r + 40303 = 0 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939845348 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2522*s**2 + 413*s + 12836574?\nAnswer: 5044*s + 413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(195\/221) + -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498971700 a multiple of 2529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipx when three letters picked without replacement from igpekepipxe?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6652, -6725, -6798, -6871, -6944?\nAnswer: -7017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 212234430434?\nAnswer: -212234430424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/4 - 66675*y\/4 + 567171\/2 = 0. Calculate y.\nAnswer: -22242, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-2)\/(-6))\/((-70)\/(-105)). Let k(a) = a**3 - 2*a + 1. Let w be k(1). Let v be 0 - 4\/16*w. Solve v = 4*s + 9 - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -3 (b) -0.5 (c) -4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + -1)*6 + -2 + 3*(sqrt(112)*2 + -5 + -6*sqrt(112)*-2).\nAnswer: 13 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 21, 35, 67, 123, 209, 331, 495?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 16\/5*d**5 + 0*d**3 + 17*d + 6 + 0*d**4 + 0*d**2. What is the derivative of b(x) wrt x?\nAnswer: 64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8038, 16067, 24096, 32125, 40154?\nAnswer: 48183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8684 and 125164663?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 6. What is j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/106650602 and 97\/10321026?\nAnswer: 319951806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 39203548\nAnswer: 1\/39203548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, 0, -2 in increasing order.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22830\/(-6088)*(-1)\/((-3)\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, j: 2, y: 1, g: 8, m: 2}. Give prob of sequence mgaa.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*x = 25, -9*x = -b - b + 50 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/90*(-5)\/(-84). Let n = 32\/63 + u. Sort 16, n, -3\/4 in descending order.\nAnswer: 16, n, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/(j\/(j*j**(-3\/7)*j))*j**23\/j*j*j**(-38)*j)**(-32) assuming j is positive.\nAnswer: j**(1440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = -3*r, 5*b + r - 217 = 0. Suppose -2*d + b = 5*u, -d - 3*u = -2*d. Let h(g) = -81*g - 549. Calculate the least common multiple of h(-7) and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*w - s - 1, 0 = w + s - 2. Let l be 20\/(w*(-43)\/(-18) - 5). Is l at least -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w + 2. Let y be n(-1). Solve -y = -4*f - 5*k, -k + 1 + 4 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*x**3 - 2111*x**2 + 2111*x**2.\nAnswer: 268*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 9.2. Let g = c + 0.2. Let w be ((-5)\/2)\/(3\/6). Sort g, w, 1.\nAnswer: w, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 - z + 28. Let o be c(-6). Let g = o - 284. Let -2\/5*r**5 - 8\/5*r**3 + 4\/5 + 2*r - 8\/5*r**4 + 4\/5*r**g = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.024154 and 5.\nAnswer: -0.12077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 + j**2 + 5*j - 7. Let g be q(4). Let y = 984 + g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/6)\/(o*o**(1\/2)*o) assuming o is positive.\nAnswer: o**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let y = 5 + j. Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*v**4 - 272*v**3 + 396*v**2 - 88*v - 64.\nAnswer: 4*(v - 8)*(v - 1)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2082 (base 9) to base 14.\nAnswer: -7b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1864, -5 in increasing order.\nAnswer: -5, -3, 0, 1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 1194.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 152, -1 in decreasing order.\nAnswer: 152, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 280\/126)\/(2\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 2*l + 10, -2*r = 7*l - 10*l - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/83 + 229\/415. Determine u, given that -3\/5*u**3 - 1\/5*u - 1\/5*u**4 - d*u**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 19)*1\/(-2). Suppose 0*b = 3*b - q. Suppose 2*n = -3*m + 39, 28 = 2*m + b*n - 3. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 + 6*q**4*w**2 - 17*q*w**2 - 6*w**2 + 1 wrt q.\nAnswer: 40*q**3 + 72*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from kkkkkkrkkkrkkkr?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 8*m**2 + 11*m - 6. Suppose -7*d - 2*o - 3*o = -10*d + 21, 0 = -2*o. Calculate v(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-3 - -14)) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 100642*m + 51 = 100639*m, -4*m - 68 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:14 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 14, 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, o: 1, n: 2, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2 - 331*o + 9 + 4 - 1320*o).\nAnswer: 1651*o - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12. Suppose n*l + 3 = -l. Is l - (-129 - 3\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 39 = 5*v, -4*d + 2*v = -54 - 20. Let s(o) = 36 + 206 - d - 3*o. What are the prime factors of s(0)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - -33. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -109647?\nAnswer: -109648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 56 = 2*v + 8*n, -5*v - n + 123 = 0. What is the remainder when 359 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150465991 and 4987?\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4177 (base 16) to base 14\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -21*o**2 + 2*o + 1. Let z be n(-1). Let i be (42\/(-455))\/(z\/47). Let d = -1\/65 + i. Sort d, -0.1, -2\/9 in ascending order.\nAnswer: -2\/9, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -3. Let a = -18 - y. Let h = a - -15. Calculate the remainder when 11 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 41, 151, 357, 689?\n\"Answer: 5*z**3 + 3*z**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*f = -21, 3*d - f + 54 - 48 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q**4 + 16*q**4 - 8*q - 552 + 3*q**3 + 552 - 2*q**2 to n*q**4 + j*q + b*q**2 + g*q**3 + t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 700531 = -3*u - 23728, i - u = 181066. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -36071*w + 120. Let i be v(-11). Suppose i + 90999 = -17*c. What is c rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 16. Let x be l(12). Let w be (-66)\/x*220\/11. Let r = -2 - -17. Calculate the highest common factor of w and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10855482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**4 - d**2)*(-2 - 4 + 0) - 3*d**4 + 3*d**4 + 2*d**4.\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coozzzaocfz. Give prob of sequence ooa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9630*o**3 - 341*o**2 - 2?\nAnswer: -57780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103310 (base 4) in base 7?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -14.2. Let k = -14 + 10. Let b = -1 - k. What is the third biggest value in 0.4, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2 (c) 79 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109493 is divided by 118?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 764*r**4 + 98*r**2 + 26603*r - 8 wrt r.\nAnswer: 9168*r**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 621 - 2401 = 0. Calculate the remainder when y is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 46*m**2 + 54*m + 50. Calculate k(24).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4327283, -8654567, -12981851, -17309135, -21636419, -25963703?\n\"Answer: -4327284*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 112*m**2 - 400*m - 384.\nAnswer: -4*(m + 2)**2*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -719\/7 - -103. Let m = 0.3 - 0.1. Which is the nearest to q? (a) m (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10*q - 99 = 0. Suppose 4*j - 19 = -q. Solve 5*o + 24 + 0 = j*l, -o - 6 = -l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*o = -20, -3*l = 167*o - 168*o + 16 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12030677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-296)*(-3 - -7) + (-100243)\/5291.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-11)*s*s)\/((s\/s**(-3))\/s)*((s**(-3)\/s)\/s)**(-43))**(-3) assuming s is positive.\nAnswer: s**(-678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwowqdoohddhw. Give prob of picking 1 q and 2 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v - 24 = 0. Find the common denominator of 8*(-3)\/v - (-516)\/(-64) and 59\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(70)\/(-2*sqrt(40)\/sqrt(4))*-5*5.\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4692.5052.\nAnswer: 18770.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/8532550?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**4 + 31*c**3 + 11*c + 21 wrt c.\nAnswer: 156*c**2 + 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 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: Simplify ((5*-3*sqrt(76)*1)\/(sqrt(20)\/sqrt(125) - sqrt(12)\/(2*sqrt(3) + sqrt(3))))**2.\nAnswer: 961875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e14 + -1937?\nAnswer: -a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/8*27\/2. Let k(z) = 104 - 2*z - 42 - v. What are the prime factors of k(-11)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*6.5.\nAnswer: -0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/2 - 106029*n\/2 - 265035 = 0. What is n?\nAnswer: -35338, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 14028296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*-5)\/sqrt(6) - sqrt(2))**2 + (sqrt(128) - (-1 + sqrt(128))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (927 - 895) + (0 - 9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 9*p**2 + 7*p + 34. Let w be r(10). Let o(g) = 17*g - 13. Let d be o(w). Let a = 297 + d. What is the highest common factor of a and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Does y = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10\/5 + -6 + -3 + 3913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*w - 64 = -1, -4*w = -4*h + 100. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c**2 - 22*c + 4196. Let j(u) = -6*u**2 + 8*u - 1399. Calculate 11*j(k) + 4*t(k).\nAnswer: -2*k**2 + 1395","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1380351\/((-546)\/(-26)) - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -24*w**4 - 2*w**3 - 22*w**2 - 2*w. Let q(g) = 95*g**4 + 9*g**3 + 87*g**2 + 9*g. Let a(n) = -2*q(n) - 9*v(n). Find the third derivative of a(j) wrt j.\nAnswer: 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-5*sqrt(99)*1)**2 + -4*((sqrt(99)*-1)**2 + 3).\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -i - 3*t, -5*t = -3*i - 29256 + 29242 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*g + g + 10 = 0, -3*y + 54 = -3*g. What is the greatest common factor of 6490 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:57 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by 4193454\nAnswer: 83\/1397818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:39 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -73. Suppose 3*g - 12 = -0*g. Which is the third biggest value? (a) 7 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*p - 28. Let a be -2*((-18)\/8)\/(6\/p). Suppose -3*b**4 - 10*b - 5*b**5 - b**4 - 6*b**2 + b**2 + 15*b**a + 9*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-51)*(-1)\/(-6)*-9.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23460439 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**2 + x - 5. Let r(s) be the third derivative of s**3\/6 + 7*s**2 + 2*s. Let h(i) = -k(i) - 5*r(i). Find the second derivative of h(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*j + 250*j - 875424000 = 0. What is j rounded to the nearest 100000?\nAnswer: -19900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-3)\/sqrt(6))**2*1.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -92*s. Let k(h) = -3*h**2 - 2*h. Let u(t) = t**2 + t. Let x(q) = -k(q) - 2*u(q). Calculate f(x(i)).\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 10) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-6 + -5.\nAnswer: -12*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 10 - (46 - 55 - (0 - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zyyyzyyyzyyyyyzyyyyy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4933*l + 1664*l + 2 - 2 + 1609*l + 1672*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -39319841.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14315 and 463785?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 + 282 = -4*i. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:45 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -425, 1, 9 in ascending order.\nAnswer: -425, -5, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 14. Calculate the remainder when 76 is divided by v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 303596251 + -498696123. Let c = -195099830.9999926 - u. Let i = 41 - c. Round i to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 3. Let p be q(1). Let i(o) = 26*o**2 - 2*o - 2. Let b be i(2). Calculate the common denominator of (-10)\/p*b\/(-210) and 46\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/2590 and 59\/707.\nAnswer: 261590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1835270.22 - 1834349.72619. Let a = 0.20619 + d. Let y = -970 + a. What is y rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/(1*-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1924216 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 8207.\nAnswer: -4924.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18824, 29455, 40086?\n\"Answer: 10631*c + 8193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/((-5)\/(100\/16))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0169 and -17.\nAnswer: -16.9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:12 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/3 + 440592*o - 10574144\/3 = 0.\nAnswer: 8, 1321768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 - 4*a**2 + 11. Let i(w) = -13*w**3 - 9*w**2 + 23. Let m(x) = -4*i(x) + 9*v(x). Differentiate m(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.57 - -6.807. What is u rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 61*p**2 - 891*p - 2087. Determine m(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -61946 (base 11) to base 16\nAnswer: -160cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 2*h - 3*h)*(-41 - 153 + 107)*(-4 + 1 + 2) to the form r*h + s and give r.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5612 (base 8) to base 3\nAnswer: -11001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(180)\/sqrt(9))\/(4*sqrt(400) - sqrt(400)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8*-0.7\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7469903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128425.4 minus 312933360?\nAnswer: -312804934.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162 + 167)*-3*(-2)\/(-20).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.96 + -4.96. Is -0.2 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 966, 0.2, 6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*x + 13804 = -260*x + 399*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from {q: 3, y: 5, b: 5, j: 1, a: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.04, -7\/5, -0.02, 1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:48 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b + 213 = 2*i, -i - 2*b + 114 = 0. Suppose 2*m = -n + 2*n - 18, -n + m + 15 = 0. What is the greatest common divisor of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10816.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/28*2 - (-72)\/756.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*8*(-4)\/8. Let f be (-2)\/d*(-13 + 75). Let b be -4 - -2*f\/(-2). Calculate the highest common divisor of 162 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -19. Suppose -5*a = r - 12, -3*r = -u*r - 3. Calculate the lowest common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -709*m**5\/10 - 370*m**2 - 497*m - 2. What is the first derivative of c(k) wrt k?\nAnswer: -4254*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -783319 - -3319055. Let b = 65754264 + w. Round b to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 17*k + 17*k + (2*k**2 + 4*k - 4*k)*(-4*k + k + 0*k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 203.59980243 from -0.066.\nAnswer: -203.66580243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 24 (b) -0.15 (c) -3 (d) -2\/257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(-5 + (((sqrt(2000) + 1 - sqrt(2000)) + sqrt(2000))**2 - sqrt(2000)) + sqrt(2000) - (-4 + sqrt(2000)*1 - sqrt(2000) - sqrt(2000))).\nAnswer: 60*sqrt(5) + 1999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*x - 46, -2*p + 0*x + 48 = 2*x. Suppose 2*g - p = 4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 1 + 4, 5*k = 3*i + 17. Suppose -k*y + 293 + 36 = -u, 0 = 4*y - 2*u - 326. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11990\/872*(-32)\/20 + 79380\/3609\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51634, 52235, 52836?\n\"Answer: 601*z + 51033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 16. Let t(q) be the second derivative of -q**3\/3 - 4*q**2 - 32*q + 4. Determine -4*k(s) - 7*t(s).\nAnswer: -2*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 6*m + 0*m + (2*m + 1 - 1)*(5 + 0 - 3) - 2*m + 2 - 2)*(-3 + 3 + 2*m**3) as l*m**3 + o*m + w + x*m**2 + u*m**4 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 78\/(-5) - 8\/20. Let a be 2\/9 - 83\/9. Let l = a - s. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 92220*h**3 - h**2 + 92558*h**3 to w + s*h**2 + k*h + z*h**3 and give z.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 5019.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1116 + 607. Let s = -506 - z. Solve 10 = -s*t + 5*f - 9, 2 = f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + b + 2)*(-1 + 3 - 3).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = 123*x - 459 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalhmaimal. Give prob of sequence lhi.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7207640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -1335 and 49100.084.\nAnswer: 47765.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 15*v**2 - 16*v + 3. Let y be h(16). Which is the nearest to y? (a) 0.1 (b) -4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d**4 - 3*d**3 - 5 + 26 - 132*d**4 - 25 to f*d**2 + h*d**3 + j*d + o + l*d**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:43 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(475)*-2)**2 + ((sqrt(114)*1 - sqrt(114)) + sqrt(114))\/sqrt(6).\nAnswer: 2*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6578360 and -9.3.\nAnswer: -61178748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 divided by -223?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 3)\/(-12) + (-22)\/56. What is the biggest value in -0.01, b, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443352823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - 2*(sqrt(52) + (sqrt(1300) - sqrt(52)))) + sqrt(52))\/(3*sqrt(4)*-2).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 4*j + 2*j - 4*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + 1. Calculate q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. What is the lowest common multiple of 6 and ((-6)\/(-5))\/(n\/(-50))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 8*h + 2. Let j be q(5). Let z = j + 2. What is the remainder when 53 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.806044 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 722 - 725 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8\/(-3))\/(2816\/(-5280))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*2\/10. Let f = -0.9 - -0.7. Let n = f + 0.1. Put l, 0, n in decreasing order.\nAnswer: 0, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - n + 258 - 25 = 0, -4*o - n + 471 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d**(-1)\/d)\/d*d)))**(-34)\/(d*(d**(1\/3)\/d)\/d*d*d**0\/d)*(d**(-2\/7))**2\/(d**1)**(3\/19) assuming d is positive.\nAnswer: d**(13541\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 times -0.17?\nAnswer: -85.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 38*j - 62*j + 84. Find b, given that 0*b - 1 + 3\/4*b**2 - 1\/4*b**j = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/6 + 4*c**2 + 5. Find the second derivative of r(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 10*z - 231. Which is the third smallest value? (a) 5 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*y = -16, 4*b = -3*y - 1 + 34. What is the fifth smallest value in b, 1, 2\/5, -6, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**6\/6 + 8*q**5\/5 - q**4\/2 - 32*q**3\/3 - 21*q**2\/2 - 203. Factor t(x).\nAnswer: -x*(x - 7)*(x - 3)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - -6 - 6) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3697059*s. Let o(q) = 2*q**2. Give o(r(m)).\nAnswer: 27336490498962*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 4*n - 20, 3*n - 15 = 5*d. Let a(o) = o. Let r(h) = -h**2 - 7*h. Let l(u) = n*a(u) + r(u). Let l(v) = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 - 5*h**4\/12 + 5*h**3\/6 + 3*h**2\/2 + 568*h. Determine w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*p + 5*p + 55, 0 = -2*p - 6. Let s = y - -5. Suppose 0 = -0*k - k + 5. Which is the third smallest value? (a) 5\/2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(3*-2*(-4*(sqrt(343) + 2*sqrt(343)) + -3 + -1 + sqrt(343) + -1) + -2)**2.\nAnswer: -1494889 - 25872*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.92 - 25. What is the second biggest value in v, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 35 = -0*p, 0 = -2*p + a + 15. Let i(d) = -3*d**2 + 9*d + 32. Let y be i(-6). What is the smallest common multiple of p and y\/(-40) - 20\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 12*h**2 - 4*h - 3. Let r(y) = -3*y**3 + 23*y**2 + 7*y + 6. Give -5*a(l) - 3*r(l).\nAnswer: -l**3 - 9*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*q + 10043, q + 55*r - 50*r - 3316 = 0. What is the greatest common factor of q and 2056?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375970.03 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 390 = -0*s. Let x = s - 12872\/33. Let u = 3\/11 - x. Is 0 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-3 + 1 + -2). Suppose -j*q - 5*v - 3 = -4*q, -2*v + 4 = -q. What are the prime factors of 290\/(-15)*(q + -1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 308, 185, 64?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 45*q + 48. Determine h(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1.2 (b) -90628 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -13. Let j = -4 + q. What are the prime factors of j\/(-18) - (-28)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/12 - 3*o**3\/2 - 5*o**2\/2 - 11*o - 13. Let q(k) be the first derivative of x(k). Determine q(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 17 = 35. Solve -3*w - b*n - 6 = -0, w + 2*n + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Find the second derivative of 3*u + s*u**5 + 0*u**5 - 2*u**5 - 4*u wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/83 (b) -3\/4 (c) 13.984\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k**2 - 3 + 2161*k - 32*k**2 - 2163*k - 7*k**4 to f*k**4 + m + t*k**2 + z*k + n*k**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, u: 2, o: 6, p: 3}. What is prob of picking 1 u and 1 p?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 8*n - 17. Let c(z) = 14*z**2 + 23*z + 50. Let q(s) = -6*c(s) - 17*i(s). Let h be q(5). Let r = h - -3. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35719.\nAnswer: 23, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let r = -1 + 1. Let i = -6 + 1. What is the smallest value in i, j, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - d + 24, 3*n - d = -17. Let i be 79\/n - 4\/(-14). What is the common denominator of 2 + -2 + 6\/i and 15\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1120 and 77\/30?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 - 30086542564?\nAnswer: -30086542563.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let f = d - 3. Is 132\/8 - f\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5672*t**2 + 62388*t - 43. Calculate f(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/30 + 55*x**4\/4 - 295*x**3\/3 + 2*x**2 + 202. Find the first derivative of k(z) wrt z.\nAnswer: -4*z + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 20 = -s - 2*c, 4*s = -2*c + 122. What is the remainder when 62 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250579095.\nAnswer: 3, 5, 13, 1285021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11356 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (153\/(-561))\/(2\/(-66)). Calculate the greatest common factor of x and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -u + 4*v, u + 403 - 402 = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -56.7*-12.9\nAnswer: 731.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 20. Let u be 112\/42*(1 - -2). Let p be m(u). Suppose 207 = p*j - 3*f, 3*j - 59 = 2*f + 97. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 6:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35953 is divided by 222.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 8*x**3\/3 - 13*x**2\/2 + 5*x - 7. Let w be i(6). Let b = -109 + w. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1730*d**2 + 10390*d + 34. Determine q(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*g + 822*g = 440*g - 2310 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 253 + -241 + (1 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.075 - -0.075. Which is the closest to -2? (a) t (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36880.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - 4) + -2 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(99) + sqrt(99) + sqrt(99)) + 5 + 4)**2 + (sqrt(99) - 2*sqrt(99)*2 - sqrt(99)*2*-3)**2)*-3.\nAnswer: -27162 + 1944*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13993*f. Let a(d) = -66*d - 10. Give a(n(m)).\nAnswer: -923538*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 27850.\nAnswer: 37\/2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12303021132 (base 4) to base 13\nAnswer: 4a5371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8746, -17479, -26202, -34909, -43594?\nAnswer: -52251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 13. Calculate the remainder when r(-17) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 0*h + 12*h)*(1 + 7 + 1) in the form c + l*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -7. Let o be 12\/6 - 80\/j. Suppose -4*t + 18 + 1 = -5*r, 0 = -r + 1. What is the highest common divisor of o and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z - 2. Let x(c) = -247*c + 39. Let q(t) = 78*i(t) + 4*x(t). Let p(g) = -2*g. Give q(p(d)).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56686 is divided by 75?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -723, -5528, -13545, -24774, -39215, -56868, -77733?\n\"Answer: -1606*u**2 + 13*u + 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 18857847498?\nAnswer: -18857847503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148\/3 + -50. Put 0, -2, v in ascending order.\nAnswer: -2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2230, -4, 0, -6.\nAnswer: -2230, -6, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -61, 103, -4, 7, 0, -2 in decreasing order.\nAnswer: 103, 7, 5, 0, -2, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7 + (0\/(-2))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 775 and 1085.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55330676 divided by 13832669?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 2*n. Suppose -5*o - 8*o + 455 = 0. Suppose -36*l = -o*l - 60. What is the remainder when l is divided by f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + -3606?\nAnswer: -3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:25 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -55. Find the first derivative of 44*f**3 - f**2 + 31 - 48*f**3 + 6*f**l wrt f.\nAnswer: -12*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a74 (base 12) to base 4\nAnswer: -12101320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 18*p**2 + 118*p - 56. What is b(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let p be (-3)\/12 + 7\/(-4). Let u be 5\/3 - p\/6. Let h(i) = 2*i**2 - i**2 - 2*i**u. Give h(m(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 7*r + 29*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-551)\/(-190))\/(-4*3\/120).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8) - (-231)\/(-132).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o. Let c(r) = 7*r**2 - 7*r + 29303. Give l(c(g)).\nAnswer: -35*g**2 + 35*g - 146515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r - 3*r**3 - 25*r - 169*r - 1349 + 1349 as i + z*r**2 + c*r**3 + u*r and give u.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-588))\/(((-20)\/14)\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1.67?\nAnswer: 0.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/9888 and 37\/412?\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -14, 10598, -3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4066 times 0.3\nAnswer: -1219.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378476887.\nAnswer: 19, 29, 61, 100517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 307963.9 kilometers?\nAnswer: 307963900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -57*c + 1963. Calculate the remainder when 811 is divided by w(30).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1379 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -1) + -19 + 13 + -12 + (10 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -2 + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1.4, -1\/5, -0.018?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 2, q: 2, u: 7, n: 2}. What is prob of picking 2 n, 1 e, and 1 u?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*w + 63 = 5*w, -296 = -4*z + 3*w. Suppose -4*g = 3 - z. Let k = -601 + 702. What is the remainder when k is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62189172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:35 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 102*s**2 - 11*s - 750. Calculate c(-102).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 10:15 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-3) - 29\/87. Let s be h\/(-3)*18*(-9)\/(-675). What is the closest to -1\/2 in -1\/7, -25, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + (-8 - 3) + 7808 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 293, -3, -13.\nAnswer: -13, -4, -3, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1129 - -8110. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 25*o - 140. Let s be (-48)\/312 - (-212)\/26. Calculate x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:00 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -355638*i**2 + 355652*i**2 - 60*i**3 + 21*i**3 + (2*i**2 + 0*i**2 + 0*i**2)*(0 + 0 - 2*i) as s*i**3 + j + m*i**2 + x*i and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 46*i + 1. Let v be g(-1). Let j = v + 65. Let u = -33 - -53. What is the greatest common divisor of u and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 272 - 1040. What is the remainder when y is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7107114 and 882.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2225 (base 12) to base 13.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/50)\/(((-132)\/(-55))\/4))\/((-2)\/265)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1800))\/(sqrt(27)\/sqrt(3)*4 + sqrt(9)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 2069529?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 21*g - 91. Give d(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 153040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36413600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1105 + -1096. Solve s*y = 4 + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 23416*p\/13 + 68538632\/13.\nAnswer: 2*(p + 5854)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1700, 2254, 3726, 6566, 11224, 18150?\n\"Answer: 75*y**3 + 9*y**2 + 2*y + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1079.7 - 1079.6. Let u(d) = d**3 + 5*d**2 + 3*d + 6. Let l be u(-4). Which is the nearest to l? (a) 5 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**6 + 247*a**4 + a**2 - 93*a + 27 wrt a?\nAnswer: 1200*a**3 + 5928*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 71*f - 17. Let t(x) = -86*x + 20. Let j(p) = 6*q(p) + 5*t(p). Determine j(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -558 + 385. Let b = r - -362. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + -97 - -59) + (-3 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258600169.\nAnswer: 258600169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 2, g: 7}. What is prob of sequence gg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01246673781 rounded to 6 decimal places?\nAnswer: 0.012467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10453.19999 + -10453. Let j = 0 + -0.2. Let h = j + d. Round h to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3))**(-4\/13)\/(g*g**6*g*g**20\/g) assuming g is positive.\nAnswer: g**(-1073\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7207.005l in millilitres?\nAnswer: 7207005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178010*w**4 - 3*w**3 - 7*w**2 + w + 203988.\nAnswer: -4272240*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371 - 191 = -15*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 71*q - 5308. What is x(75)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129195*l**3*w + 7736*l**2 - 2*l*w wrt l?\nAnswer: 775170*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 551 + 132221222?\nAnswer: 132222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g - 1. Let i be m(0). Let w = -0.07 - 0.23. Which is the closest to i? (a) w (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from weeeewe?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144356.9851786 + -144357. What is s rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:38 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67bb (base 13) to base 8.\nAnswer: 34267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3283 + 5351. Let b = j - 2068.971. Let y = -1 - b. What is y rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 + -5 + (-2)\/(-1 - 1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.96 + 18.04. Let i = 163.2 + -163. Which is the nearest to 0.2? (a) i (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758908 < 3758910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32430856 + -2?\nAnswer: 32430854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/69311 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53163?\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.47671961 to 2 dps.\nAnswer: 21.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192284670.\nAnswer: 2, 5, 181, 1211207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430105*p**2 - 429731*p**2 + 859836*p**2 + 313*p**3.\nAnswer: 313*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.168 (c) -4 (d) -1\/14 (e) -6 (f) -0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.005ug in milligrams?\nAnswer: 0.105005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116566? (a) -2\/19 (b) -0.3 (c) -1 (d) -2\/11 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {n: 5, i: 1, d: 1, q: 2, s: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11504 and 1379335352?\nAnswer: 5752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305533177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007695 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -452 by -4.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -432*x + 180*x**3 + 216*x**2 + 34*x**4 - 42*x**5 - 39*x**5 + 83*x**5.\nAnswer: 2*x*(x - 1)*(x + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233259 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28 - 10\/(-5)) + (7 - 2). Let t be ((-40)\/(-6))\/((-1)\/3). Is t smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.49 - -3.81. What is n rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3562352 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 19*v - 17*v - 18, 0 = -3*u - 3*v + 6. Put -9, 5, u in decreasing order.\nAnswer: 5, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -661, -1491, -2653, -4147?\nAnswer: -5973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**23*l*l*l**(6\/19)*l)\/(l\/l**31*l\/(l*(l\/l**(1\/22))\/l)))**(-27) assuming l is positive.\nAnswer: l**(-635067\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m + 251*m - 2*n + 1712 = 0, 2*n = -2*m - n - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 75. Calculate the remainder when 20 is divided by q(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*p - 1183, 167*p - 171*p = 4*a - 956. Is 227 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 161. Suppose 5*i - 7*x - 62 = -3*x, -52 = -4*i + 4*x. Which is the third smallest value? (a) -2\/5 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5734793 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) + -3 + sqrt(704) + 3)*5 - (-1*sqrt(704)*2 + 2*sqrt(704)*6)) + -4)**2*3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55\/14? (a) 1 (b) 0.2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53544 = 4*y + 5*u, 2*y + u = 6*u + 26802. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:33 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -223223 (base 4) in base 14?\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64377155 divided by -139?\nAnswer: -463145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + q)*(1 - 2 + 3)*(-4 - 6 + 2)*(-q + 2*q + 0*q).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 + (-1005)\/(-536)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 + o + 1. Let w be v(4). Suppose 15 - 9 = 3*c. Let l be 4 - 6\/(-4)*c. What is the highest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 111 = -0*q. Is (q\/1)\/(0 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 16645225?\nAnswer: 16645232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/11, 5, -32 in decreasing order.\nAnswer: 5, 0.2, 2\/11, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i*i*((i\/i**(2\/11))\/i)\/i*i*i*i*i*i*i))\/(i*i\/(i**(-2\/7)\/i)))\/(i**5\/(i*i**(-1))))**(13\/5) assuming i is positive.\nAnswer: i**(-3224\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001 + -1010110101111?\nAnswer: -1011001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 71. Suppose h = 2*g, 5*g = 5*s - 418 + 98. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -16. List the prime factors of (-112)\/(-7) - (k + 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/5 - 9*b**2 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1991*k + 11251 = -28532 + 18233 - 26234 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 32*l + 935. Calculate z(20).\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060640 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h = 81*h - 360*h + 4575 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34\/11, -1, -1\/17, -119 in decreasing order.\nAnswer: 1, -1\/17, -1, -34\/11, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/5, -29, -0.5, 3, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 1, u: 2, a: 2, t: 1}. What is prob of sequence ka?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(336))\/sqrt(12))\/(sqrt(12)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/30 - (-4)\/10. Let s = 78 - 74. Suppose -238 + 230 = s*n. What is the nearest to n in v, -3\/7, -1\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3248922, 4, 56.\nAnswer: -3248922, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 + 14*f + 30. Let w be h(-5). Let k(g) = w*g - 2 + 6*g + g - 18*g. Give k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -152*u + 3595. Calculate the remainder when t(20) is divided by 271.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c + 9\/160*c**5 + 0 + 1\/16*c**3 - 5\/32*c**4 + 6*c**2. Factor q(n).\nAnswer: 3*(n - 1)*(9*n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*v**2 + 68 + 16*v - 39*v + 23*v to o*v**2 + p + i*v and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 * -11225\nAnswer: -426.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310881704 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-10) + (-6)\/(-15). Let c be p\/(-22) - 237\/(-33). Suppose -5*r + 8 = -c. Solve -2*k - 2 - r = l, -k + 4*l = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/473*(-15)\/15.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 2*r - 111. Let k = -793 + 796. Suppose 0*b + 2*b = -k*q + 167, 4*b = 5*q - r. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:22 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -8831.\nAnswer: -31\/8831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.4251 rounded to 1 dp?\nAnswer: 572.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -494 - -500. Solve 70 = -t*q - 8*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 48*h**2 + 316*h - 11. Determine v(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Let u(o) = 5*o**3 - 6*o**2 - 3*o + 9. Let a(p) = -4*p**3 + 6*p**2 + 2*p - 8. Let r(b) = w*a(b) + 3*u(b). Calculate r(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8132.993853 + 8133. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 23\/3, 2\/13, 1\/5 in ascending order.\nAnswer: 2\/13, 1\/5, 2\/3, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 + -108 + (-1 - (0 - 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -329, 34 in ascending order.\nAnswer: -329, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + (-8 + 8 + 0 - -9) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/6 (b) -2\/5 (c) 0.2 (d) 1 (e) 4\/9 (f) 6\/31 (g) 70\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/(125\/100)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 5 - 2)*(s**3 + 1 - 1) + (2*s + 3*s - 6*s)*(-2*s**2 + 1 - 1) as i + c*s**2 + m*s**3 + d*s and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33511.52 days in milliseconds?\nAnswer: 2895395328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014651 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90.44 - -90.44. Which is bigger: -116.37 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 7, 9, 13, 19, 27?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose p - 26 = h - d*h, -2*h - 4*p = -6. Find the first derivative of 0 + 4*l - 1 - h*l wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 38.8. Which is the nearest to 7? (a) 1\/7 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - r + 2*r - 7, 3*r = 15. Suppose 5*l - 4*z - 9 = -z, 5*l + 4*z + 12 = 0. Let m(t) = 3*t - 5 + l + 6. Determine m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j - 4. Let t be l(0). Suppose 2*a + 8 - 129 = 7*a + 4*q, 0 = 2*q - 22. Put t, -2, a in descending order.\nAnswer: -2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 52*p + 51. Let k be z(25). Solve 2*m + m = -4*b - k, 4*m - 24 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360881440?\nAnswer: 2, 5, 17, 19, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 17. Suppose i = 2*l - 5*x, -5*l + x - 3*x = -11. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*y + 462*y + 18 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 1, y: 3, k: 3, j: 2, d: 2}. Give prob of sequence kq.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 5*q + 4. List the prime factors of v(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5144316, 10288632, 15432950, 20577270?\nAnswer: 25721592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/((n*n\/n**0)\/n*n)*(n*n*n**(-1))**(-22))**27 assuming n is positive.\nAnswer: n**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -582 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01132 rounded to four decimal places?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*k + 658*k - 4410 = -702*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/s**(1\/6)*(s**3)**(-14\/5) assuming s is positive.\nAnswer: s**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 1*((sqrt(68) - (-4 + 1 + sqrt(68) + sqrt(68))) + -5 + 1))**2*3 + 3.\nAnswer: -192*sqrt(17) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3795 and 2.2175.\nAnswer: -3792.7825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a4a6 (base 14) to base 8\nAnswer: -67322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/7 and 14\/1289?\nAnswer: 9023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 187, 278?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219730*g**2*l**3 - 15189804*g**2*l - 90*l**3 + 9*l**2 wrt l.\nAnswer: 1318380*g**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 17223.23 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-5371575)\/110*(-14)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-3))\/((-2)\/(-406)). Suppose 4*r - j = 49. Differentiate -r*o**4 + 6 + 93*o**4 + 6 with respect to o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200033300 + -12?\nAnswer: 200033222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*-5*(sqrt(539) - (0 + sqrt(539))*-2) + (-1 + sqrt(539) + 1 - 1*sqrt(539)*-2)*-6)**2.\nAnswer: 77619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 15, 63, 163, 333, 591?\n\"Answer: 3*m**3 - m**2 - 4*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174255?\nAnswer: 3, 5, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 10236?\nAnswer: 51180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w - 3*w**2 - w + 4*w**3 - 5 - 2*w**3 + 8.\nAnswer: (w - 1)*(w + 1)*(2*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 52*s + 21. Let j be n(0). Suppose 2*l = i - 83, 23*i - l - 163 = j*i. Does 41 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 5 + 6 - -1) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*o = 2039*o + 66 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -1.3. Suppose -3*v + 2*v = -4, 0 = 4*n + 5*v - 40. Let x = 0.3 + -0.2. Which is the closest to l? (a) x (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 35188 = -2*p + 137474, -3*p - 4*f + 259014 = 0. What are the prime factors of p?\nAnswer: 2, 3, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 30 = -6*k, -2*a - a = -5*k - 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, f: 1, k: 2, s: 2}. Give prob of picking 1 f and 2 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, 5, 6, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 1 - 57. Let s be 11 + (w + -5)\/(-6). Suppose -52 = 2*h - 4*h. Calculate the greatest common divisor of s and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 8, i: 2, j: 4}. Give prob of picking 1 i and 1 j.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13633\/12 - 1137. Calculate the common denominator of -61\/6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**13*v**(-8)*v)**22 assuming v is positive.\nAnswer: v**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9971.096ml?\nAnswer: 9.971096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 16. Suppose -k - 13 = -0*v - z*v, 2*v + 5*k = -21. Solve x - 1 = v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 1287 = 13*k + 1117 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -341. Suppose -2*n = l - 6, -3*l = 2*n - 3 - 3. Suppose 5*h - 705 + i = l. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -104769\nAnswer: -5\/11641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84841602 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 114*b + 28*b - 43*b.\nAnswer: -171*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -112. Find the third derivative of -i*m**3 + 4*m**2 - 17*m**2 - 26*m**3 wrt m.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1667\/2 - -834. What is the biggest value in l, 30, 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*d + 3876 + 1969, 3*o - 5873 = -5*d. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 - -1*97. Calculate the greatest common factor of 40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnn when three letters picked without replacement from rbnrnrnxbbuxbbuxuxnc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419241?\nAnswer: 11, 219931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - -0.4. Let x = 123955.05 - 123955. Which is the closest to 0.1? (a) 1\/2 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + -5.5. Sort -6, r, -0.2.\nAnswer: -6, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 21*u**2 - 22*u - 1. Let o be l(22). What is the smallest value in 4, -4, o, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:13 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-3*-5)\/sqrt(5))\/(4*5*sqrt(250)).\nAnswer: 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28079407500 rounded to the nearest one million?\nAnswer: -28079000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3 + 3 - 1 + 1 + 2*o - 5*o - o + 5*o + (2 - 1 + 1)*(2*o - 3*o - o) - o - 1 + 1 - 2 + 2 + 2*o - 3*o + 4*o - 2*o - 18*o - 44*o + 9*o + 4*o - o - 5*o.\nAnswer: -57*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 21) + -21 + 15 + 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5) + (7 - -15) + -11 + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-117)\/(-23) - 4. Which is the third biggest value? (a) -27 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2 - 38403796*u - 184356443401202 = 0?\nAnswer: -9600949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 3\/((-9)\/21). Suppose w = 5*j + b*w + 449, 4*w = -12. Let c = -59 - j. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n + 678. Give p(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707595664 at most 1707595665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.4639, 0.08, 0.2, 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0605 + 0.0605. Let q = -50 + 56. Which is the closest to y? (a) -5 (b) 0.12 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 20*r = -12. Does 65 divide -5 - (96\/r)\/((-23)\/(-345))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*h - 5853, 6161 = 4*h + b - 1624. Let n = h - 908. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 13 = r, -2613*r = -2610*r + 2*h + 31 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.06, -65, -1\/6, 2909, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/96696 and 31\/8058.\nAnswer: 96696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 - 1\/10*y**5 - 2\/3*y**4 - 5\/3*y**3 + 4*y - 2*y**2. Determine j, given that w(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.9. Let m = -168622 + 168619. What is the closest to -2\/7 in r, m, 5, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**5\/20 - 5*i**4\/24 + 32*i**3\/3 - 18. Let n(p) be the third derivative of j(p). Let d(w) = 2*w. Give n(d(l)).\nAnswer: 12*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -13*p + 66709. List the prime factors of p.\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let d(z) = z**2 + 8*z - 11. Let l = -440 - -430. Calculate the remainder when d(l) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 40*k + 42 = 0. Calculate the common denominator of -97\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - 2*i + 7. Let n(v) = -2*v**2 - v + 4. Let m be 34\/9 - (-62)\/279. Determine m*c(b) - 7*n(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + ((sqrt(1100) - (sqrt(1100)*3 + sqrt(1100))) + -4)**2 + (sqrt(132)\/(sqrt(60)\/sqrt(5)) - (sqrt(220)\/sqrt(4))\/sqrt(5)).\nAnswer: 240*sqrt(11) + 9919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124*t = -371*t - 370*t - 374*t - 279 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4697 + -192579\/41. Let m = -5.7 + 6. Put 0.2, m, 3, k in descending order.\nAnswer: 3, m, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 5. Let o be (15\/20)\/((-3)\/(-12)). Let v be k(o). Solve 0*z = -3*h + 4*z - 22, -v*h + 4*z = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b + 45. Let z be c(-4). Is -0.069 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let q be k(-6). Let h = -3 + q. Let p be (-15)\/12 - (1 - h). Sort 2\/3, p, -4 in increasing order.\nAnswer: -4, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x + 13. Let v be (-10)\/(-2) + -2 + -10. Let t(z) = -13*z - 19. Let u(j) = v*l(j) - 5*t(j). Let m = 6 - 10. What is u(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/2)\/t)\/(t*t**27*t*t)*t**(-12)\/(t*t**17*t) assuming t is positive.\nAnswer: t**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10561 is divided by 477?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/28*112\/6. Let y be 324\/w + 10\/8. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 752 and 57.23075.\nAnswer: 809.23075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448408988.\nAnswer: 2, 3, 13, 19, 162889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:13 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -16ae53?\nAnswer: -16ae53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**3 - f - 2. Let v be t(-1). Which is the biggest value? (a) -5\/6 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 4*c - 60, 71 = 5*n + 4*c. Let y(w) = -w - 8. Let i be y(-6). Calculate the remainder when (-2)\/i*(-62)\/(-2) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 22*s**2 + 3*s - 229. Calculate m(22).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77285 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 14 = -90 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 5. Let b(w) = 4. Calculate 4*b(i) + 3*r(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 519684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(19) + -1).\nAnswer: -4*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 26, -2, 4, -9 in decreasing order.\nAnswer: 32, 26, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**6)\/(z*z**(-3\/4)*z))**(-4\/23))**(-11\/2) assuming z is positive.\nAnswer: z**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*j = 17, 3*v + 4*j + 9 = -4. Let y be -4*4*v\/(-1). What are the prime factors of ((-12)\/y)\/(3\/(-312))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 16. Let k be o(-7). Suppose k*h = 20 - 10. Suppose -2 = 2*w, 2*w + 1174 = 2*v + h*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 - 15*f**2 - f**2)*(289*f**2 - 493*f**2 - 680*f**2)*(3 - 1 - 1).\nAnswer: 21216*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 273316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -0.3. Let q = 0.229 - -2.771. Which is the closest to n? (a) -13 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1003 divided by -4.\nAnswer: -1003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -166\/9, 2, -3971.\nAnswer: -3971, -166\/9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 4*c + 5 = -235. Let l(s) = s**3 + 3*s**2 + 8*s. Let n(m) = 6*m**3 + 14*m**2 + 41*m - 1. Let o(w) = -11*l(w) + 2*n(w). Give o(c).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*z - 0*z - 54087, 0 = -m - 5*z + 54086. Suppose 6*i + 18695 + m = 0. Is (i\/21)\/((-5)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p + 24*p = 36*p - 338 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 12916 = 7*r. Let s = 10065 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 27. Let s be h(-11). Suppose y - 12 = r, 2*y + 2*r - 42 = -2*r. Solve 2*b = s*b - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 152. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265634 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 3236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:09 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 (base 8) in base 3?\nAnswer: 112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -578, -577, -576?\n\"Answer: f - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 7*p**2 + 35*p + 41. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.5 and 8.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-528)\/(-8)*(-14)\/(-77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1373331 + -4.137. Round g to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 9, u: 1, n: 1}. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/3 + 115520*l**2\/3 + 923968*l\/3 + 615936.\nAnswer: 4*(l + 4)**2*(l + 28872)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3\/7 + 3034*n**2\/7 + 1510*n\/7 - 4548\/7 = 0.\nAnswer: -758, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 4*n**2 + 2331*n**3 + 5 - 2329*n**3 - 2*n. Let i(d) = 2*d**3 - 2*d**2 - 2*d + 6. Determine 5*i(x) - 6*r(x).\nAnswer: -2*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 17 + 5. Suppose 2*o - b*o + 700 = 0. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**7\/42 - v**6\/6 + v**5\/15 + v**2 + 2. Let z(l) be the second derivative of b(l). Factor z(k).\nAnswer: k**2*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 71*h**2 + 5*h - 6. Let u be s(3). Suppose 111*n - 115*n + u = 0. Suppose -3*q = -855 + n. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -20. Suppose -q + u = 4*k - 1, -k - 3 = -5*q. Suppose d + 5 = -m, 4*m - 4 = -k*d + 4*d. Is m greater than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcsysvv. What is prob of sequence yslc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125\/2 - -631\/10. Let d(a) = a**3 - 16*a**2 - 2*a + 32. Let s be d(16). What is the biggest value in w, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12950614279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22212100 (base 3) to base 11.\nAnswer: -4945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1391, 1392, 1393, 1394, 1395?\n\"Answer: w + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 + 7 - -11) + (-687 - -614).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*d + 613*d + 10840 = -350*a, -2*d - 10 = 0 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Suppose -i - v*b - 41 = 0, 2*i + 2*i + 230 = 2*b. Is (i\/10)\/((-4)\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-21))\/(120\/(-270))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let t be 2 + -3 - q - -2. Let j = -101.9 - -101. Which is the third biggest value? (a) -2\/13 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + (13 - 5) - (-1 + 9)) + -4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 + 3 - -1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1863 is divided by 598.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -185\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1414 (base 11) to base 12\nAnswer: -1086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -1\/13*l**2 - 4\/39*l**3 - 3*l - 2\/65*l**5 - 1\/13*l**4 + 0 - 1\/195*l**6. Factor r(n).\nAnswer: -2*(n + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -996, -1004, -1026, -1068, -1136?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-3)*2766\/(-14752)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -20*p. Let o(w) = -10845*w. Calculate j(o(l)).\nAnswer: 216900*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9826709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 10325.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 1\/10*v**5 + 5\/2*v**4 - 1 + 0*v**2 + 5*v + 14\/3*v**3. Find the second derivative of m(i) wrt i.\nAnswer: 12*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from auuauya.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and -0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 340 - 53 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-1)\/((-2)\/14). Suppose -17*p + 24*p - 21 = 0. Suppose -n = -3*r + x - p*x, -r = 4*x + 11. What is the highest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 651115434.2.\nAnswer: 651115433.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 - 0.02. Let v = -1.6 - t. Let l = -10092 + 10091.5. What is the closest to 0.1 in l, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 362598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*q = -2*q - 195, q + 61 = c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**2 - 9*o**2 - 26*o**2 + 103*o**2 - 12*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let a = -0.2 - -0.6. Let m = 0.01 - 2.01. What is the smallest value in a, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 4 = 2*k. Let p be (5 + (42\/12 - 8))*2. Solve -y + 5 = 2*s, -4*s + k = 4*y - p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 - s + 8. Let b be k(5). Suppose b*u - 108 = -p + u, 3*u = -5*p + 554. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 23751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806373222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-34)\/85).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -16, -50, -118, -232?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6958 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:51 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 9, 346, -4, -15 in increasing order.\nAnswer: -15, -4, -2, 1, 5, 9, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**2 - t**3 - 16*t**2 - 15*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2346 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 95.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/7)*k))**(9\/4)*k**(4\/9)*k*k**(-2\/27)\/k*k assuming k is positive.\nAnswer: k**(761\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832509 to the power of 1\/2, to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 - 8. Let f = d + 0.9. Let t = 5 + -3. Put t, -3, f in ascending order.\nAnswer: -3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j - 31. Let a be l(-14). Let t(s) = -50*s + 16*s - a*s - 31*s. Let g(k) = 2*k**2. Give g(t(b)).\nAnswer: 11552*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*s**4 - 174979*s**3 - 150150*s**2 - 42916*s - 4088 = 0 for s.\nAnswer: -2\/7, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22281 and -51\/10?\nAnswer: 222810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -0.5, -1, -1\/13, 29.\nAnswer: -1, -0.5, -0.17, -1\/13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-8 + -10 - -12) - 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14838*b**2 - 46108*b**2 - 36925*b**2.\nAnswer: -68195*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1193 - 1198. Let c = -6.93 + -0.07. Is x <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Solve -v*y + 0*y = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.61 take away -99?\nAnswer: 250.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(33)*1 + sqrt(3300) + sqrt(3300) + (sqrt(3300)*-2 - sqrt(3300)) + sqrt(3300))*-2)\/((-2*(sqrt(110) + sqrt(110)*1))\/(sqrt(490)*-1)).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 402?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-357) - (106\/34 + -3). What is the nearest to 0 in m, -5, 4\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010010 (base 2) to base 13.\nAnswer: -73c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, 3, -17, 2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57)\/209*4\/6. What is the biggest value in b, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -156, -0.3, -171?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.78*-0.4.\nAnswer: 17.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 16042, -30, -6, -1.\nAnswer: -30, -6, -2, -1, 5, 16042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2530417 and -1755.\nAnswer: -2532172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - 1) - (1 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwccwc. Give prob of sequence wc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 5120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -3.13, -41381?\nAnswer: -41381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {q: 2, m: 2, v: 2, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 3, t: 4}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 24*n**2 + 28*n - 18. Let f be o(-22). Suppose 3*w - 338 = -4*r, -2*r - 2*r = 5*w - f. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3379 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k\/(k*k**1\/k*k)))**(2\/57) assuming k is positive.\nAnswer: k**(-2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -880990 and 3?\nAnswer: 880993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(448) - (sqrt(448)*2 + sqrt(448))).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 - 2*o**2 - 3*o + 13*o**2 - 8 + o - o**3. Let t be w(3). Solve -2*r - 4 = 3*u, -t*u - 3 = 3*r + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26231528623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 85*r + 6. Let q(x) = -4*x - 7. Let f be q(-4). Let l(c) = 43*c + 3. Let j(o) = f*l(o) - 4*t(o). Is j(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*d**2*m**3 + d**2*m**2 + 233*d**2*m - d**2 - 2319*d*m - 157*m**3 - 1 wrt d.\nAnswer: -308*m**3 + 2*m**2 + 466*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(567) - (1 + sqrt(567)))*6 + (2*sqrt(567) + 3)**2.\nAnswer: 108*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78883*i**2*o**2 - 114872*i**2*o + 2*i*o**2 + 2*o**2 + 172*o wrt o?\nAnswer: 157766*i**2 + 4*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 618?\nAnswer: -1\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1a1567 (base 15) to base 7\nAnswer: 13540162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -780 and -780 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j - 23. What is b(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -21*p - 48*p - 1375 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:07 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 8*v - 2*v)*(6*v - 4*v + 0*v) in the form q + n*v**2 + c*v and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*17\/(-102))\/(5\/(-50)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15458 or -494701\/32?\nAnswer: -494701\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:59 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19613 is divided by 142.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1815382314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-4))\/((-99)\/(-132)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7227 or 13021?\nAnswer: 13021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31110 and 6528?\nAnswer: 1991040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 - 52*o**4\/7 - 30*o**3\/7 + 52*o**2\/7 + 16*o\/7 = 0. What is o?\nAnswer: -1, -2\/7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = 0, 0 = -5*v + 10*v + t + 71999999. What is v rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 10 = 7*c. Suppose -s - 5*o = 5, -c*s + 2*o + 25 = -3*o. Suppose -s*z = -4798 + 1433. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/6)\/(9\/(-12)) + 53550\/96390?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216115*o**2 + 3*o - 473268.\nAnswer: 432230*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1908014*s + 1907969*s + 1620 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + 0*k**4 + 3*k**4)*(k - 5*k + 5*k) + 0*k**2 + 2*k**5 + 0*k**2 + (k - 2*k + 2*k)*(0*k**4 + 0*k**4 - 3*k**4).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*q**2 + 2*o**2*q - 2*o*q**2 - o*q - 2508*q**2 - 35172*q wrt q?\nAnswer: 4*o**2 - 4*o - 5016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*m, -5*d + 5*m = -114255. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 - 2 = 0. Let r = f + -7. Find the common denominator of 29\/3*r\/(-4) and -47\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -599.82 + -26.88. Round c to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6724*g**5 + 6125072*g**4 - 5532836*g**3 - 125903192*g**2 + 58198416*g + 660572640 = 0.\nAnswer: -3, 142\/41, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -60.96. Let h = -60.99853 + o. What is h rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b)**26)**(3\/10) assuming b is positive.\nAnswer: b**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 463955 greater than 2319782\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 7*c**2 + 8*c - 8. Let z be y(6). Suppose 4*r = u + 57, 2*r - z*u - u = 15. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*h - 17, 4*h - 24 + 2 = 2*a. Let n be (21\/6 + -4)\/((-3)\/(-2)). What is the second smallest value in h, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1069 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -0.3, 2, -0.077?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 2, -0.5, 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82433, 82419, 82405, 82391, 82377, 82363?\n\"Answer: -14*m + 82447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 15*k - 37. Let l be m(18). Suppose 5*r - 3*q = -18, l = -4*r + 4*q + q. List the prime factors of -5 - -173 - r - 1.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525160.8 months in millennia?\nAnswer: 43.7634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 44. Let b = -38.63 + t. Let x = 2 - b. Round x to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/720 - i**4\/48 + 2*i**3\/3 + i**2. Let u(m) be the first derivative of l(m). Factor u(p).\nAnswer: (p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*h**2 + 3953*h**3 - 7919*h**3 + 3965*h**3 - 37*h**2.\nAnswer: -h**3 + 267*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1378987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o + 0*o)*(-2 + 2 + 1)*(8 + 23 - 54).\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.86301 + -0.22399. What is f rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*z**3 - 3*z + 2253 wrt z?\nAnswer: 21*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 18*l - 23623. Determine i(163).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-14)\/(336\/138)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/(((j*j*j\/j**(-18))\/j)\/j))\/(j\/(j\/((j\/j**(1\/6))\/j)))**(-37) assuming j is positive.\nAnswer: j**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, p: 2, j: 1, x: 5, m: 2}. What is prob of picking 1 e, 2 m, and 1 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*h)*(29 - 69 - 78 + 6) as i + m*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 2*y**2 + 3*y + 3. Let x be f(-2). Let z(u) = u**3 + 7*u**2 - 5*u - 3. Let o be z(-7). Let h = o + x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594204595 to the power of 1\/2, to the nearest integer?\nAnswer: 39927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13*d = -18*d + 472, 2*d = -2*k - 944. Let o be k\/(-336) - (-8)\/(-14). Determine r so that 0*r - 5\/6*r**4 - o*r**2 + 0 + 5\/3*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -22. Let a = c + -7. Suppose 10 = a*t + 4. Solve -d - 3 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + -2.2.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 431 + 94 = 0. Calculate the greatest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 3}. What is prob of sequence dbb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 18?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 84 = -j. Let v be (0*4\/j - 0)\/1. Let y = 0.93 - 0.8. Is y bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 + 149. What is w(0)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 2248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from 373774.261.\nAnswer: 373788.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -872097*i**5 - 1341*i - 32?\nAnswer: -17441940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 2*m + 5*c, m + c - 2 = 0. Find the third derivative of 1 + 2*b**2 + 4 - 5 + m*b**5 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3073*-0.4.\nAnswer: 1229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -44. Let b = 320 + -294. What is the remainder when l is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50281?\nAnswer: 7, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {o: 1, t: 3, a: 2, x: 1, d: 3, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 191 = 3*p, 0 = -3*p - p + 3*y + 216. Suppose -8*l = -9*l + p. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - 3*p, -5*p + 2 = 4*k - 3*k. Factor 4*w - 7\/3*w**k + 4\/3.\nAnswer: -(w - 2)*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 12. Let f(o) = 17*o + 14. Let c(a) = -3*a - 3. Suppose 0 = 11*j + 17 + 5. Let y(k) = j*f(k) - 11*c(k). Determine y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t. Let b(d) = d. Let v(s) = 5*b(s) + k(s). Let z(j) = -j**2. Give v(z(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 182, 272, 362, 452?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467960619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3463480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3415 - 111*f**3 - 3415.\nAnswer: -111*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 59072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 4 + 32. Sort i, -5, 27.\nAnswer: -5, i, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(275)*1 + 2) - (sqrt(77)*1*3 - sqrt(77))\/(-4*(sqrt(7) - (sqrt(14)\/sqrt(2) - sqrt(7))) + sqrt(7)).\nAnswer: -13*sqrt(11)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisissssssssii. What is prob of sequence ssss?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 17. Determine b(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.02 + -22. Let c = p + -0.066. Let d = c - 0.794. Round d to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813125 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8982104*n**4 + 719*n**2 + 3*n + 59 wrt n.\nAnswer: 215570496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1188.7 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(((sqrt(720) - (sqrt(720) + sqrt(720) + 0 + sqrt(720))) + -1 - (1 + sqrt(720) + -4))**2 - (1*sqrt(720)*2 + -3)).\nAnswer: -77844 + 2016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12660841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*a - 16 = 3, 5*a = -5*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from {x: 4, e: 3, j: 5, n: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24639.461 - -24652. Let j = a - 12.7. What is j rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x - 5*x)*(-2*x - 3 + 0 + 0*x) in the form k*x + y*x**2 + z and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654393 is divided by 93478?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 280\/4*(-19)\/(-2). Suppose -32*s + 25*s + b = 0. Is s at least 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32374354*a**4 - 39264*a**2 + 80 wrt a?\nAnswer: -776984496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*l - 3, -4*l + 9*l + 44 - 84 = -35 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*l + 9816 = 322*l + 763*l - 40884 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -5*sqrt(5)).\nAnswer: -25 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 8*q**2 - 16*q - 2. What is the units digit of k(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -440, -441, -442, -443, -444?\n\"Answer: -k - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - (-86107)\/49) + (-2)\/7. Let v = -1400 - m. What is v rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -19*f**5\/4 - 115*f**4\/2 - 297*f**3\/2 - 148*f**2 - 227*f\/4 - 9\/2 = 0.\nAnswer: -9, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5504 + 38544 = 4*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2840 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*o = -18 + 2, -5*t + 7 = -4*o. Let v(k) = k**2 - 2*k + 2. Let q be v(t). Let b be q\/(-15) - 22\/(-12). Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7303, 14686, 22137, 29656?\nAnswer: 37243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 25*c + 8. Let k be d(12). Solve 14*q - 18*q + k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.21132 - -5476974.78868. Let m = g + -5477043.20999955. Let t = 0.21 + m. What is t rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + 7) - (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72086348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61866 and 7196096?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 (base 8) in base 15?\nAnswer: 19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84645, 170068, 255491, 340914, 426337?\nAnswer: 511760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*l**3*o**3 + 3*l**3*o - l**2*o**3 + 10*l**2 - o**2 wrt l.\nAnswer: 228*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1443 - -368.5443. Round z to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) -15\/134 (d) 8 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*l + 63*l - l as q*l + n and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 + -14 + (-3523)\/(-221))\/(-247 - -242)\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 + 5. Let k be d(0). Let l(p) be the first derivative of p**4\/4 - 4*p**3\/3 - p**2 - 7*p + 6. Calculate l(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 2145*t**3\/2 - 6881*t**2\/2 - 10*t - 2. Differentiate c(g) wrt g.\nAnswer: 6435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -1.65. What is z rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -40, 5, 748445.\nAnswer: -40, 5, 7, 748445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -6 - (0 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.6321 - 0\nAnswer: -0.6321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-6))\/((-3)\/(-6)). Suppose 2*j = 4*w + 6 + 10, -f*j - 4*w = 2. Suppose -3*g + j*g = 0. Solve -5*l + 20 = -4*x + 8*x, g = 5*l + 3*x - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4 + 16 = 0. Suppose 6*p = h*p - 4. Is p greater than or equal to 2\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**9\/168 + k**5\/60 + 3*k**2\/2 + 2*k. Let o(z) be the first derivative of m(z). What is the third derivative of o(n) wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23403 - 12425?\nAnswer: -36030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 + 0.27. Sort 0, g, -3 in decreasing order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 11*t - 5*t**4 + 4*t**4 + 10*t - 27*t + 2 + t**2 in the form x*t**3 + b*t**2 + i*t + c*t**4 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.02 + 7. Let r = z - -5.02. Let f = -4 - -1. Which is the smallest value? (a) f (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696016831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y**2 + 1 + 1 - 8*y + y**2 + y. Let w be j(8). What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -732*m**5 + 194*m**2 - 3?\nAnswer: -43920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.984 - -0.016. Let r = o - 46.9. What is the closest to -4 in 0.5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 7*h + 432. What is the first derivative of -c + c - 82 + h + c**3 wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 185711917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) 0.4 (c) 16 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 11*q**2 - 26*q + 8. Let n be p(-13). Let v be 42\/70*n\/6. Which is bigger: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 997.6959 millilitres?\nAnswer: 0.9976959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose 0 = 4*m - 2*y + 7*y - 28, -f*y = m - 10. Suppose -2*a + 7*a = 2*b + 2, -5*b + m*a = -16. Sort b, 5, -2.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175))*3 - (-2*sqrt(42)\/sqrt(3))\/sqrt(2).\nAnswer: -6 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 8. Let k(a) be the first derivative of 14*a + 99 + a - 16*a. Let m(w) = -4*w + 6. Determine q*k(y) - m(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 77 = s, -33*k - 385 = 5*s - 37*k. What is the second smallest value in 2, s, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b - 6*b - 11*b - 19.\nAnswer: -42*b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*i + 1 = 8, 5*i = -5*o + 5. Suppose 0*s = 5*s + 10, -10 = -5*z + o*s. Which is the second smallest value? (a) -1\/3 (b) -2\/19 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/660 - 4*o**5\/55 - 65*o**4\/132 - 14*o**3\/11 - 2134*o**2. Factor v(j).\nAnswer: -2*(j + 1)*(j + 2)*(j + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (-6 - 0) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 480*j - 1896. Determine i(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -23*b - 9. Suppose b*f - 4*g - 131 = 0, 0*f - 69 = -f - 5*g. Let n = -48 + f. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617434.1km in micrometers?\nAnswer: 617434100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 1 t when three letters picked without replacement from {u: 2, o: 6, t: 1, x: 5, c: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, -0.2, -16, -29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 * 273436.1\nAnswer: -11484316.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 11 + 7 + 3*d)*(12*d - 12*d + 9*d**3) to the form l*d**3 + s + c*d**2 + x*d**4 + f*d and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 9*i + 11*i**5 - 12*i**5 - 2 + 0*i**5 + (-i**4 + i**3 - i**3)*(-6*i + 2*i - i) - i**5 - i**5 + 0*i**5.\nAnswer: 2*i**5 + i**4 - 9*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2476 (base 8) to base 6.\nAnswer: 10114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 14*u + 27*u + 4*f - 16 = 0, 3*f - 12 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w + 5*l = 16, 0 = -4*w - 2*l + 10. Suppose d + w = -f, 0 = -3*d - 2*f + f + 7. Suppose -d*a = -a - 9. Do 1\/4 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*p - 677*p = 931*p - 23936 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3936*u**3 - 149*u**2 + 3928*u**3 + 3927*u**3 - 11790*u**3 + 2 to b + f*u**3 + y*u + n*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 6. What is the closest to 1 in m, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6. Let j = 0.1 + -0.04. Let k = j + 1.94. Which is the nearest to 0? (a) 0.1 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1 + -2 + 3)) + 4 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840)*-2 + sqrt(3840) + sqrt(3840))*6 + sqrt(3840))\/(sqrt(84)\/sqrt(28) - (sqrt(108)*1 - sqrt(108))\/sqrt(9)).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 187. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (-3 + 2*sqrt(300)) - 4*(-1 + sqrt(300)))**2.\nAnswer: -700*sqrt(3) + 7549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11628864 by -149088.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7029804*y**3 + 184*y - 659?\nAnswer: -42178824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323603 (base 7) in base 3?\nAnswer: 22211221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 11. Let x(t) = 3*t - 6. Let w be (-8)\/(-2) - 4\/(-2). Let o(h) = w*l(h) + 11*x(h). Let g(v) = -v**2 + 5*v. What is -3*g(n) + 5*o(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.07265, -1\/2, 215?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -108*v + 2 + 17 - 12*v**3 - 25. What is the first derivative of g(m) wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430340 is divided by 6534.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 1182 = -10*m - 1202 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let i be 85\/17 + (-1)\/1. Suppose h + 0*h + c*r = 7, h + r = i. Solve h*g = -g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 2. Let y be d(2). What is the nearest to -1 in y, -0.4, -3, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*q - 159436 = -13699 - 1659 for q.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -6, -2, 1, -22, 80 in descending order.\nAnswer: 80, 1, -2, -6, -22, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = 4*d. Let x = -79 - -75. Let t be 4\/((-20)\/(-85)) + x\/(-2). Which is the third biggest value? (a) d (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -17 (c) 37 (d) 0.05 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -107. Let a be ((-2)\/3)\/(4\/6). Let z = n + a. Solve s + q = -2, z*s + 4*q - 2 = 5*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 862 - 845. Are 1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49711, 99436, 149151, 198850, 248527?\n\"Answer: -n**3 + n**2 + 49729*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240121950*f**6 - 12231*f**2 - 407*f wrt f.\nAnswer: 28814634000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1482918\nAnswer: -2965836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q + 3. Let k(b) be the first derivative of 0*b - 7\/2*b**4 - 6\/5*b**q + 0*b**3 + 4*b**2 - 5. Factor k(a).\nAnswer: -2*a*(a + 1)*(a + 2)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178\/3 - -6224\/105. Let m = j + -29\/105. Let x = 1 + 0. What is the closest to x in 1, m, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 12*u**2 - 3*u + 2 + 14*u**2. Let v be n(-2). Suppose 0*y + y - 32 = -v*k, y - k = 12. Calculate the remainder when 45 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116581760 to the nearest integer?\nAnswer: 10797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 294*j**2 + 19018*j.\nAnswer: j*(j - 514)*(j - 74)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 0.7, -1\/51 in decreasing order.\nAnswer: 0.7, -1\/51, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + 218*i + 438. Let d be l(-2). Which is bigger: d or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408697228*r**4 - 6696*r**2 + 2470 wrt r.\nAnswer: -9808733472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 22*r - 18. Let u be g(10). Suppose 8 = -4*h, u = 4*l + 2*h - h. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-28) - (-33)\/(-42))*8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1 (c) 21 (d) -1.3 (e) 0.286\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 28*o**5\/5 + 49*o**4\/4 + 139*o. Find the third derivative of w(a) wrt a.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.509309 seconds to milliseconds.\nAnswer: 2509.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y + 12*y + y + 22*y to b + s*y and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 335, 320, 285, 224?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i - 36. Let s be (-7)\/28*i + 0. Solve -3*f - 1 = r + 1, 2*r - 4 = s*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1282976, 5131869, 11546688, 20527433?\nAnswer: 32074104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365 is divided by 158?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 3637428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*s**3 + 90*s**3 - 24*s**3)*(-6 + 1 + 4)*(3 - 2 - 2).\nAnswer: 144*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + (-1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-3)\/(-18)). Suppose 40 = -w + 42. Suppose -z - 1 - z**2 + 4 - 5*z + j*z**w = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1515\/(-33) + 19 + (-7072)\/352?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from roooooooororro?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9794*h + 18089. List the prime factors of i(-6).\nAnswer: 7, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 - 0.16. Let j = 0.19000032 - l. Round j to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 6, -12 in descending order.\nAnswer: 6, -12, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b - 4*s, -5*b - 4 = 3*s + 2. Let r be (b + 670\/(-4))*-4. Let u be r\/18 - 24\/108. Solve 4*x - u = 2*w + 3*w, 5*x + 4*w + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4690857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/6 - (-1623)\/18. Let n be (8\/5)\/(2\/(-5)) + 4. Suppose 2*l + 4*l - c = n. Solve 4*t + 3*u - 16 = 0, -4*t - 4*u = -35 + l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-3*k**2 + 0*k**2 + 2*k**2)*(9 + 5 - 7).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499\/71 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-100)\/15) + -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f**3 + 715*f**2 - 44*f + 86. Give l(42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16515 in 1, 2\/13, 2\/9, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 575*j + 17 - 3 = -567*j, 18*j = 5*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 + 4*d. Let f(a) = -a**2 - 4*a + 7. Let j be f(-5). Suppose 0 = -7*w + j*w + 30. What is the least common multiple of w and c(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 2\/5, -2, 98, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from xmxm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 19 in increasing order.\nAnswer: -5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.2. Let l = 1 - -3. Let p = l + -3. What is the biggest value in p, 4\/7, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 880, 876, 872?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most as big as 3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(-50)\/(m**(-12)*m**3*m) assuming m is positive.\nAnswer: m**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4525126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259151 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.46 + 0.06. Let r be 1\/4 + (-20)\/16. Which is the biggest value? (a) r (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233076321?\nAnswer: 3, 31, 835399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - 42024\/(-840))\/(8\/(-280))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5629649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewec when four letters picked without replacement from eeeccceecww.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -4)\/(117\/(-507)). Which is bigger: 16 or h?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1038*x. Let u(r) = -2*r. Calculate u(c(w)).\nAnswer: 2076*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -608\/5 - -761\/10. Let h = -4593\/2 + 2326. Find the common denominator of h and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32045664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) - (sqrt(2) + sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-102)\/(-14) - (-6)\/(-21). Let n(m) = -t*m + 0*m + 5*m. Let y(r) = -7*r. Give y(n(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3705)\/2470)\/(2\/16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 266279?\nAnswer: 266278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1198, 1187, 1162, 1117, 1046?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.025 - -0.055. What is j rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 13*b + 18. Let x be a(-9). Let t = x + 24. Is 13 a factor of (-3)\/t + (-106)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from ynjoojjvyovnj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 357036800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7837786*p**2 - 1064295*p.\nAnswer: 15675572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 0*t = t. Solve -5*x + 20 + t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 3 + 19 + -2 + -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -298. Calculate the remainder when f is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 30*j**4 + 167*j**3 - 198*j**2.\nAnswer: j**2*(j - 1)*(j + 9)*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -69. What is the closest to -0.2 in 0.2, -0.7, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 591*x + 299*x + 296*x.\nAnswer: 4*x + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.3 (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-116)\/(-204))\/(53\/(-3) + 18). Is 3 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3636962262 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-36*s + 35*s + 56*s) - 5*s + 4*s + 2*s + (-4*s + 8*s + 2*s)*(-4 + 2 + 1)*(-1 + 2 + 1).\nAnswer: -176*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.2634.\nAnswer: 0.02634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7487804647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -1, 10\/7, -10279?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 142 = x - 33, -5*n + 4*x = -175. Suppose 0 = 1420*t - 1421*t + 14. What is the greatest common factor of t and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 86*a**2 + 76*a + 20293. Determine y(-84).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 31*k - 1310. Let w be g(-19). Sort w, 253, -2.\nAnswer: -2, w, 253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 349. Solve 3*p + 2*z - 7*z - 2 = 0, -2*p = m*z + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -0*o, 2*o + 1391 = c. Suppose -16*n + c = 15*n. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29\/(-3))\/(-9 - -12) + 5\/(-45). What is the smallest value in -0.1, 1.8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 2968 = 7*t. Calculate the lowest common multiple of 10 and t.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*c**2 - 36*c.\nAnswer: -3*c*(c + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 + i**2 - 9*i + 2. Let g(t) = -5*t**3 + t**2 - 4*t + 1. Let o(h) = 9*g(h) - 4*k(h). Let y be o(5). Solve d + 0 = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:36 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -c32 (base 13) in base 9?\nAnswer: -2748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/(-54) + (-4335)\/(-990).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*-18*1\/2. Let h(y) = -2 + 5 - k*y + 14 - 2*y**2. Let a be h(-7). Solve -5*t - 10 = -a*l - 2*l, 25 = -5*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195355 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71\/142*8\/4*3 and 257?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 4*h**2 + 7*h + 20. Let x be d(-2). Are 16 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2. Let l(r) be the third derivative of -r**5\/60 + r**4\/24 - 457*r**2. What is l(q(a))?\nAnswer: -49*a**4 - 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6717362*q**3 - 6609930*q wrt q?\nAnswer: 40304172*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 11*k - 10. Let s be i(10). Suppose 2*w + c + 2*c = 694, -5*w + 2*c + 1697 = s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240397347.\nAnswer: 3, 53, 1511933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -166402584, -166402582, -166402580, -166402578, -166402576?\n\"Answer: 2*s - 166402586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6*m + 2835. Let u = 792 - m. Suppose -5*z + 762 = -4*v, 5*z + v - u = -360. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 21398129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72773860 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23621327*f + 7562701 with respect to f.\nAnswer: 23621327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -1014040?\nAnswer: -1014122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 188 + -1 + -1. Let y(p) = -2*p - 169. Let v be y(-21). Let w = t + v. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -61 (b) -6 (c) 116 (d) 0.3 (e) 4 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaeaaaaaeaaeeaaaae?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2598884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6. Let t(f) = -1. Let u(o) = -a(o) + 5*t(o). Let g(h) = h - 2. What is -g(b) - 2*u(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150784*y + 150780*y - 301579*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-8)\/(16\/(-78)). Suppose g = c + 31. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 299?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 + 27. Calculate the remainder when 107 is divided by b(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4141 + 4140.7. What is the biggest value in -31.6, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5 + -2)*1*(0 + 19) and 27?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -8 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 213 + (-6)\/(-4)*-2. Suppose a = -11*f + 562. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a + 70*a + 221*a + 335*a.\nAnswer: 595*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 853\/1046 or 1?\nAnswer: 853\/1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (80\/56)\/((-1)\/(-7)) + -3. Let j(k) = -6*k + 45. Let n be j(i). Solve 0 = n*u - 3 + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 148?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let l(n) = 10 + 0 - 62*n - 1 - 1 + 12. Determine l(b(v)).\nAnswer: -124*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.41 * 6226.\nAnswer: 8778.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*a**2 - 380*a**2 - 34*a**3 - 4 - 6*a**3 + 4.\nAnswer: -40*a**3 - 49*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815450297.\nAnswer: 815450297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d**2*z**2 - 2*d*z**2 - d - 257*z**2 wrt d.\nAnswer: -10*d*z**2 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 57, 35, -645\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 5.528\nAnswer: 17.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:30 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205 + 208. Let z = 33 - 12. Solve -5*n + 19 = -3*q, -5*n - q = -l*q - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - (46 + -10)) + 4 + 0\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124194 divided by -42\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 9}. What is prob of sequence llw?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1963*k - 1958*k = -0*c + 12, -18*k + 39 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, c: 5, z: 4, y: 2}. Give prob of picking 2 c and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11336272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.364 and -3.1?\nAnswer: 4.2284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1195 = h, 0*g - 970 = -4*g + 2*h. Suppose t - 2*t + 74 = -5*b, 3*b = -3*t + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -250 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*m + 5*m - 94, -5*q = -4*m + 218. Let o = -40 + m. Let y = o - 15. What is the nearest to 2\/7 in 0.7, y, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1188?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (390\/(-1092))\/((5\/6)\/(-5)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 18*t**7\/7 + t**3 + 9*t**2\/2 + 2*t - 36. Find the second derivative of q(j) wrt j.\nAnswer: 2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -4*a, 3*a = -m + 2*a + 4. Suppose 0 = -5*q + m*q. Suppose 2*x + 8 = -4*t, -2*x + 5*t = 4*t - 7. Solve q = -0*u + x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -787 (base 9) in base 6?\nAnswer: -2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3377448, 6754895, 10132342?\n\"Answer: 3377447*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124937308 divided by -4?\nAnswer: 31234327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -5, 98\/19, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(20*3 - -3). Let r = -1 + x. Let z be (-12)\/(-54) + r\/(-36). Does z = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -554, 2, -1\/8 in ascending order.\nAnswer: -554, -1\/8, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516634 is divided by 206.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**3 + 16*t**2 + 1303. Let a(m) = 15*m**3 + 41*m**2 + 3257. What is 9*a(i) - 23*j(i)?\nAnswer: -3*i**3 + i**2 - 656","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71112 by -6.\nAnswer: -11852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76278, -305133, -686566, -1220583, -1907190?\n\"Answer: -k**3 - 76283*k**2 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.14898 (c) 5 (d) -0.01 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*n - 16 = -0, 4*n - 8 = -4*s. Let y(x) = -x**2 - x + 16. Let g be y(-5). Sort s, 3, g in ascending order.\nAnswer: g, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:18 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 1. Let z = 11 - 5. Suppose -2*g = 4*s - 3 - 7, 4*s - z = 2*g. Suppose -5*b + k = 6, s = -3*b - k + 2*k. Calculate v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) - (-36)\/27. Suppose 2*u + 113 = 4*g + g, z*g = 3*u + 54. Calculate the greatest common factor of g and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/24 - 7*t**3\/6 + 6*t**2. Let z be g(-9). Factor 14*d**4 + z*d + 10*d**2 - 7*d**5 + 11*d**5 + 0*d**5 + 18*d**3.\nAnswer: 2*d*(d + 1)**3*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 15*v - 3. Let b be h(-7). Let d = -65 - b. What is the second derivative of -u**2 + 23*u + 30*u - d*u - 2*u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2285048538 to the nearest integer?\nAnswer: 47802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14265*l**2 + 7696*l wrt l?\nAnswer: -28530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:43 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 580508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 13. Let i be b(7). Let k = -4 - i. Suppose k*t - 3*t = -10. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870224 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 13*v**5\/40 - v**4\/24 - v**3\/6 + 2*v**2. Let j(z) be the first derivative of c(z). Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114061 + 16683 = 23*w - 7900. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124688397 > -124688398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34*1\/20)\/((-8)\/16). Which is the second smallest value? (a) l (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**5 - 8*n**4 - 90*n**3 + 1020*n**2 + 1089*n. Let j(y) = y**5 - 9*y**4 - 90*y**3 + 1018*y**2 + 1089*y. Let m(u) = -3*g(u) + 4*j(u). Solve m(i) = 0.\nAnswer: -9, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q**3 + 4*q**2 - 6*q**2 - 290 + 291 + 3*q as r + y*q**3 + h*q + u*q**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78724, -157474, -236230, -314992?\n\"Answer: -3*g**2 - 78741*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/492 and -17\/3.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 702913\nAnswer: 7\/702913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0 (b) 2\/5 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 + 88*r + 26. Suppose 3*g + 64 = 2*l, -2*l - 4*g + g = -52. What is the remainder when k(l) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 1\/20*q**5 + 0 + 0*q + 1\/8*q**4 - 1\/120*q**6 + 18*q**2 + 0*q**3. Determine s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933 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: What are the prime factors of 1870111670?\nAnswer: 2, 5, 7, 19, 47, 29917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2 - 1223224*q + 14679264 = 0.\nAnswer: -305818, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 117\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 54, 2\/3, 79?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m + 22. Let x be s(-2). Solve -x = -3*p - 4*f, 2*p - 3*f + 4 = 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 43*h**2 + 30*h + 172. Calculate i(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16 - -0.127. Let m = f + -0.103. What is m rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 16 = -2*w + 5*o, -5*w + 26 = 4*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 374*i**2 + 19*i + 3776. What is y(-187)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*1)\/(-1*(sqrt(10) + sqrt(50)\/sqrt(5)))*-2.\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -952 + 954.9. Which is the closest to -0.3? (a) 2\/9 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -943 - -939. Let w be (1\/3)\/((9 + -6)\/(-1)). Which is the closest to 1? (a) o (b) 0.4 (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4267982*z - 3674779?\nAnswer: 4267982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-334)\/(-6)*93. Let n = z - 82903\/16. Find the common denominator of n and -79\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**5 - 83790*y**2 + 3186126*y?\nAnswer: 160*y**3 - 167580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q\/(q**(-1)*q)))\/(q**4\/q**(-1\/4)))**(1\/2) assuming q is positive.\nAnswer: q**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or 32?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from nqbzfbfzi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 39*j**2 + 255*j + 6. What is the least common multiple of g(-7) and 168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, n: 1}. Give prob of sequence sn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 2, b: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 361.\nAnswer: -18.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-10)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 d when three letters picked without replacement from ddwwdwdd.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11737 - -12410. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*(n\/(n**4\/n))\/n*n)*n*n**(7\/3)\/n)**48 assuming n is positive.\nAnswer: n**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 5. Let g(c) = -c + 1. Let l(d) = 5*g(d) + u(d). Let k(v) = -10*v + 20. Let x(q) = -q + 6. Let m(y) = -k(y) + 4*x(y). Calculate l(m(p)).\nAnswer: 6*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*z + 38, -5*z - 39 = -4*u - 2*z. Let x be 81\/(-3) + -10 + u. Let y = x + 46. What is the remainder when 48 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 2) + (-147)\/28. What is the smallest value in 0, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 - 1. Let d be 12*4\/(-12)*(-2)\/4. Let f(r) = 41*r**2 + 0*r**2 - 3*r**d - 10*r**2. Calculate a(f(u)).\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103579639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 36) + 40 + -1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 387, 2 in increasing order.\nAnswer: 2, 9, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*p + 1, -2*i + 4*i = 3*p + 13. Let w = -14955709\/9587025 - 2\/383481. Is w at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39467898.\nAnswer: 2, 3, 29, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*c - 14, 4*q - 25 = -5*c - 2. Solve q*f = -f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/150 and -95\/8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = 41. Let t(m) = -m**3 + 9*m**2 - 9*m - 2. Calculate t(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1909 or -1910?\nAnswer: -1910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.6 + -6. Let n = -3.99 - 0.01. Let s = -9328\/3 + 3109. What is the nearest to s in -3, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u**2. Let n(y) = 67*y**2 + 130. What is n(a(j))?\nAnswer: 17152*j**4 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 8, 5, -288\/5, 4, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -152971*m - 611869. Calculate f(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5900 and 237770.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3887817 is divided by 1943877?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77, -84, -107, -146, -201, -272, -359?\n\"Answer: -8*o**2 + 17*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5056\/17451 + 10\/2493. Put -2.85, q, 3, -3 in decreasing order.\nAnswer: 3, q, -2.85, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322729958 to the power of 1\/3, to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - -1*(sqrt(136) - -1*sqrt(136))))\/sqrt(8).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 17*q - 48. Solve 2*b + m + q = 0, -5*m = 7*b - 9*b - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6315991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1859811?\nAnswer: -1859810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 + 3.71. Which is the smallest value? (a) 2\/17 (b) 2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3174 (b) -2\/77 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21769049 to the power of 1\/2, to the nearest integer?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190410, -5, -3, 2, 5.\nAnswer: -190410, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from kuukuk.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*c - 14 = 0, 0 = -5*u + 2*c - 103 + 81 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 7*p**4\/12 + 2*p**3 - 55*p**2. Let d be 4 + (-8 - (4 + -21)). Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2, -5*p = 7*a - 2*a + 20. Let g(c) = -23*c - 1. Is 23 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*y**4 + 2*y**3 + 314*y**2 - 4*y + 305274?\nAnswer: 624*y**2 + 12*y + 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2499362*r - 40 = -2499358*r, 4*o - r = 43 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1481, 2376, 3271, 4166, 5061, 5956?\nAnswer: 6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -227, -265, -315, -365, -403?\n\"Answer: 2*y**3 - 18*y**2 + 2*y - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**4\/12 + 10*i**3 - 50*i**2 + 161*i. Factor y(f).\nAnswer: -5*(f - 10)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2600133\nAnswer: -1040053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17*x + 3. Let d be f(3). Is 12 a factor of (d\/7)\/(18\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 31887*a - 4 - 63804*a + 31782*a.\nAnswer: -135*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -7*j + 2*j. Let h be j\/56 + 2\/(-8). Suppose 5*f + n - 6 = 0, 2*f - n = n. Which is greater: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289624985.\nAnswer: 5, 13, 4455769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + x + 2*x + 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -12\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26306309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 - (1 - 0). Which is smaller: g or 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 5*r - 2, 2*a = r + 7. Suppose -h = -a*y - 5 - 1, 3*y = -3*h + 54. Solve -h = -w - 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155584508 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85850 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470991844.\nAnswer: 2, 117747961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 69 + 71 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a. Let g(s) = -2*s**2 - 33*s + 441. Calculate the remainder when b(6) is divided by g(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-6)\/(-40)). Suppose 4*x - 320 = -0*x. Suppose -g*u + 5*u + x = 0. What is the remainder when 30 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**27*(o\/o**(-2))\/o assuming o is positive.\nAnswer: o**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and 127\/1309830.\nAnswer: 1309830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -837 and -46.3222?\nAnswer: 790.6778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 - 4 = 0. Let a be 9\/15*(u - -8). What is the third derivative of -21*y**2 - 18*y**2 + a*y**5 + 45*y**2 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 bigger than -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545823526 and 11185.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjtjjuvvtnju. What is prob of picking 2 v, 1 t, and 1 r?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0)*98\/98\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2089.3? (a) 0.3 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**7\/630 + m**5\/20 - m**4\/3 + 3*m. Let b(f) be the third derivative of d(f). What is the derivative of b(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o. Suppose o = r - 13. Let w(t) = 15*t**2 + 13*t - 13. Let l(g) = 7*g**2 + 6*g - 6. What is r*l(y) - 6*w(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 4\/(-18)) + 20\/((-1620)\/(-1507959)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7+1.48578826\nAnswer: -5.51421174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a + 281. Let c be w(-25). Suppose -315 = -c*b - 63. Solve -44*m = -b*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let q be 68\/(-595)*(-10)\/4. Suppose 0 = -7*k + 2*k - 25. Which is the closest to q? (a) 3 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 9. Let x be u(4). Solve -c = x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-206)\/(-6))\/(6\/(-20646)). Suppose -j + 135705 = -6*j. Let n = d - j. What is n rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14867516, -29734914, -44602314, -59469716, -74337120, -89204526, -104071934?\n\"Answer: -g**2 - 14867395*g - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 2 + -2 + (0 - 4). Let f be (-2)\/(1 - 9\/7). What is the second derivative of -59*k + 0 + 62*k - f*k**5 + o wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6129 and 36774?\nAnswer: 36774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 u when four letters picked without replacement from {n: 3, u: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5220000 to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 0*l)*(844 + 52*l**2 - 844).\nAnswer: -104*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**4 - l**3 - l**2 + l - 1. Let x(c) = 16*c**4 + 24*c**3 + 38*c**2 - 14*c + 22. Let v(j) = 44*u(j) + 2*x(j). Factor v(d).\nAnswer: -4*d*(d - 2)*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -124458.11?\nAnswer: 12445.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-2)*((-6)\/(-20))\/(420\/(-560))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 12 = -24*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 43*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*18)\/((-5)\/5). Let y = 4 + -2. Let n be (-4 + y)\/(((-8)\/6)\/4). Calculate the highest common factor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 194*k + 26875\/3.\nAnswer: -(k - 43)*(k + 625)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 15. Let g be l(13). Let k be g*((-20)\/(-8) + 0). Suppose -4*a + 92 = -3*u, 0 = -9*a + 4*a - k*u + 80. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83100 and 1280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 29*f - 195. Let q = 5 + -3. Suppose 6*y + d - 127 = y, -3*y = q*d - 79. What is the remainder when y is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -21. Suppose 0*c + 2*c - i = 0. What is the smallest common multiple of (60\/(-9))\/((-6)\/9) and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:52 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 - 312228*l**3 + 8088777225*l**2 + 1827656722500*l - 1835745187500 = 0. Calculate l.\nAnswer: -225, 1, 52150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1539)\/3591*14\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*p - 954, -2*p + 3109*g = 3107*g - 640. Solve -p*w + 314*w = -2*r - 26, -2*r + 14 = 5*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 - z - 2. Let t(p) = -6*p**2. Let i(g) = k(g) + t(g). Let m(u) = -3*u**2 - 2*u - 5. Determine 7*i(c) - 4*m(c).\nAnswer: -2*c**2 + c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236348 divided by 59087.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-328)\/(-20))\/((-2)\/20). Let s = -165 + b. Solve 0 = 14*d - s*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.50416042 + -0.6?\nAnswer: -7.10416042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 1 - 7. Let n(a) be the third derivative of a**4\/6 - a**3\/2 + 6*a**2. What is n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q - 22*q + 41*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -2*f - 24*k + 27*k, -5*f = 2*k - 525. Suppose 0 = 5*p + c - 175, -11*p + c = -14*p + f. Calculate the remainder when 179 is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 687 + -4840\/7. Find the common denominator of -17 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 5. Suppose -p*b = -10*b + 15. Let d = 2 - b. What is the nearest to d in 2\/3, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j + 31427 = 321*j + 490*j - 7899 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -181? (a) -57 (b) 12\/797 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 53*a - 57*a = -32, 0 = -4*n - 4*a + 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43880396 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 3, v: 3, s: 6, e: 2}. Give prob of picking 1 q, 1 s, and 2 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -2\/7 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2887 = -z + 4*x, -4*x = -20. List the prime factors of z.\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*t - 3621 = 227*t + 2283 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {s: 2, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2333314400 (base 5) to base 7.\nAnswer: 63433622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 92*m**2 - 92*m**2 - 3*m**3.\nAnswer: -m**3*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 4*s**7\/735 + s**6\/420 - 2*s**5\/105 - s**4\/84 + s**2\/2 + 3. Let b(u) be the second derivative of d(u). What is r in b(r) = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymyvceq. What is prob of picking 1 v and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 7*u + 4*g - 544, -u = 3*g + 128. Let p = -113 - u. Calculate the highest common divisor of 357 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.37635292 - -29?\nAnswer: -119.37635292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22209306?\nAnswer: 2, 3, 7, 23, 83, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 + 6*x**4)*(3*x - x - 7*x) - 3*x + 2*x**5 + 3*x.\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - 10\/(-15). Suppose 2*q - 20 = 3*b + 3*q, i = 3*q - 3. Let u(d) = d**2 + 5*d - 9. Let r be u(b). What is r rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 + 8*t**3 - 2*t**2 - 5*t**2 - 2*t**2.\nAnswer: 33*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23003 - -3?\nAnswer: 23006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 7*h - 5. Let c(z) be the second derivative of 1\/12*z**4 + 1\/2*z**3 + 0 - z**2 - 25*z. Determine 5*c(p) - 2*s(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.0124 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y - 758*y**2 + 2 - 35*y + 18*y. Suppose -10*w = -18*w + 8. Let a be g(w). Round a to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 27. Suppose -5*u = u - j. Does 13 divide (1\/u)\/((-2)\/(-356))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66699484 and 1396?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390230 - 254230. What is k rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1 + -5 + (-10 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1229*n - 4*l - 18 = -1232*n, -4*n = 5*l + 7. Suppose 1 = 5*o - 9. Solve n*u - 2 = -0*u - 5*p, -4*u + 4 = -o*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 5*z**2 - 2*z**2)*(-3 - 1 + 6)*(-6*z**3 + 5*z**3 + 2*z**3).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013444 rounded to 5 decimal places?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) - 2470\/(-11700).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/56 - 2296\/98.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.74349 centuries?\nAnswer: 67.4349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15188 divided by 1?\nAnswer: -15188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -n, 2*c + 2*c - 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 89. Let w be ((-26)\/h)\/(2\/48). Let o = w - 2. What is the highest common factor of 112 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + w)*(-1 + 6 - 2).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6011025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*d = -7 - 13, 5*d = 25. Suppose b = 3*x + 6, a + x - 2*x + 5 = 0. Let c(p) = p**3 + 7*p**2 - 3*p. Does 8 divide c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 + 9*r - 6. Calculate w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 8\/(-4))*5. Let x = 26 - i. What is the least common multiple of 7 and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + -4 + 1 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 + 335. What is the tens digit of 52\/r - (6 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47661 divided by -14.\nAnswer: -47661\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 343*s + 21062 - 14888 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 17\/2, 4, 64, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Let r = 5 - j. Suppose -2*k - 3*y + 14 = -y, 4*k = -5*y + 32. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.9 from -0.5.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/502 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -3*c - 20, -2*c + 32 = 3*p. Let a(k) = 4*k - 22 + 14 - 24*k**2 + 23*k**2. Let f be a(p). What is f rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(39\/7)\/(t**(-5)*(t\/(t**6*t))\/t) assuming t is positive.\nAnswer: t**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let f be n(-1). Suppose 2*c - 10 = -f*v, -4*c - v + 8 = -c. Suppose 2*j + c*j = 204000. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77b2a2 (base 16) to base 3\nAnswer: -112202112122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254214.8 millennia in centuries?\nAnswer: 2542148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 18*v)*(17*v + 55*v - 113*v) + (3*v**2 + v**2 - 5*v**2)*(3 - 3 + 2))*(v**3 - 6*v**3 + 3*v**3).\nAnswer: -1472*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-2)\/44 + (-3264)\/44. Let w be (63\/12)\/(2 + (-38)\/16). Is (w\/6)\/(m\/72 + 1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3038 and 3724.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3196 = -8*q. Let y = q + -464. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -168, -347, -526, -705, -884, -1063?\n\"Answer: -179*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8515 + -0.1485. Let y = 5 - 4.92. Which is the smallest value? (a) -4 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o + 376. Find the common denominator of (2 + -1)*o\/(-48) and 125\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(-45)\/((((w**10\/w)\/w)\/w)\/w)**(-22\/7) assuming w is positive.\nAnswer: w**(-2073\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 7 + (-4 - (-10 + 10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37324*i**2 - 3*i - 37009*i**2 + 3*i to the form o*i + q + w*i**2 and give w.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 447546792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/(-504)*(-6)\/(-5)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -11. Let m = k - 2. Let c = m + -4. Solve c*q - 10 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Let l(o) = o**2 + o. Let r(n) = 2*n - 14*n**2 - 6*n + 10*n**2 - 8 + 6*n**3. Let y(m) = q*l(m) + r(m). What is the derivative of y(i) wrt i?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/120 + x**5\/5 - x**4\/12 - 25*x**3\/6 + 32*x**2. Let b be h(-12). Which is bigger: -3\/40 or b?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsm when three letters picked without replacement from nsm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:37 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + z + 77, 0 = 4*r - 3*z - 96. What is the lowest common multiple of r and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*a + 0*a**2 - 37*a - 12*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1383866 and -109\/1258060?\nAnswer: 13838660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.636726 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234531 (base 8) in base 16?\nAnswer: 13959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w - 8. Let y(h) = 3*h**2 - 2. What are the prime factors of y(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 53 - (-3 - 0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 2:13 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -57 + -1 + 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8*x - 3*x = 173, 2*x + 27 = q. Suppose q = 4*k - 7. Suppose -5*m = -86 + k. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -828, -1658, -2488, -3318, -4148, -4978?\nAnswer: -5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 5499028*a + 5499026.\nAnswer: 2*(a - 2749513)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2788467.351277 minus 4?\nAnswer: -2788471.351277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -552ef7 (base 16) to base 8\nAnswer: -25227367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 131*n - 2549. Give k(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -62 - 114. Calculate the highest common divisor of 44 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 3*w - 14. What is the remainder when i(-7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + sqrt(847) + -1 + 5.\nAnswer: -2 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1749.\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.792 - 4.799027. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p - 12. Let g be k(-3). Suppose g*h + h = b - 7, -3*b = -5*h - 14. Let t(o) = o**3 - 3*o**2 + o + 3. Calculate t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d + 25. Let p = -3 + -7. Let t be a(p). List the prime factors of (-10)\/(-35) + t\/(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -14867?\nAnswer: 14859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.817002257 - 3.817. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:01 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, f: 6, t: 2}. What is prob of picking 1 f and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13617330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Suppose -4 = 2*p - 2*h, 0*p = -2*p + h - 1. Suppose 6 = z*l + p. Calculate the lowest common multiple of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 10:07 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h - 310142 = 65*h - 2*q, -3*h + 3*q - 186078 = 0. What is the units digit of 28\/21 - h\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/(-16)*1). Suppose z*q - 3*q - 25 = 0. Sort 4, -2, q in decreasing order.\nAnswer: q, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*w = -4*x + 15, 3*w = 5*x - 92. Let d = x - 15. Solve -d*i + 0 = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -1. Let p = 1997 + -1994. What is the smallest value in p, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5 - m)*(13 - 402 + 63) as r + v*m and give r.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -8*r**3\/3 + 55*r**2 + 22*r. Let h be c(5). Calculate the highest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + j + 272, 2*u = 5*u - 5*j + 278. Let p = -89 - u. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.273 + 12.727. Which is smaller: w or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u, -3*u + 1 = 2*b - b. Let m be (238*b\/(-16))\/(2\/4). Let h = 24 - m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1*(10 + -4). Let s(c) = c + 4. Let k(t) = t + 4. Let f(o) = -6*k(o) + 7*s(o). What is f(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -214, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.13 - 30. Let w = d + -0.23. Let h = 1 + -2. Put h, 4\/3, w in descending order.\nAnswer: 4\/3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 171*n**2 - 12*n - 5. Let k be (-1 + (2 - -1))\/(5\/(-10)). Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43422016 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:37 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 21*j**2 - 20*j - 37. Determine p(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 + 12*r**2 - 2*r**2 - 2 - 2*r**2 - 4*r. Let b be n(2). Solve b*p - 4 + 0 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 816 (base 11) to base 12\nAnswer: 6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.3 (c) 1 (d) -0.1 (e) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose -v*c + 7 = -1. Suppose c*s = 5*s. Solve -3 + s = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let a(f) = 79*f - 79*f - 5*f**2. Calculate s(a(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2773\/12 - 232. What is the common denominator of (-797)\/18 + 2\/(-9) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/4 + 4*i**3\/3 + 3*i**2\/2 - 1. Let s be z(-3). Let k be (0 - -2) + s\/(-7). Which is bigger: 4\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 780053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 658366610 from -9.\nAnswer: -658366619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 + (-6 - -2 - (-12 - 10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 4. Let c be m(-4). Suppose -j + 110 - 30 = c. Suppose -3*f + 4*d + j = -17, -165 = -5*f + 5*d. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-5*(sqrt(3) + sqrt(27))) - ((sqrt(33)*2)\/sqrt(11) + -5).\nAnswer: -41*sqrt(3)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444\/(-4*3\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 689 and -4936?\nAnswer: -3400904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57837 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*c = -10, 2*c = -2*k - 0*c - 20. Is 9 a factor of k\/(-15) - (-104)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -578, -3, -19, -2, 1.\nAnswer: -578, -19, -4, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 1\/8*s**2 - 1\/16*s**4 + 0*s + 1\/12*s**3 + 1 - 1\/20*s**5. Find m, given that u(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49347573 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 70*l + 7. Let m(p) = 348*p + 32. Give -14*k(s) + 3*m(s).\nAnswer: 64*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11760*g**4 - 2*g**2 - 22 - 15 - 11765*g**4 + 5 + g as y*g**3 + j*g**4 + o*g**2 + x*g + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, f: 4}. Give prob of sequence fee.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and -99\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -46, -38, -16, 26?\n\"Answer: a**3 - 2*a**2 - a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009215809 rounded to seven dps?\nAnswer: -0.0000922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-5 - -6) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**3 - s**5 + (0 + 0 - 5*s**3)*(6*s**2 - 4*s**2 - s**2) - s**5 + 2*s**2 + 2*s**2 - s**5.\nAnswer: -8*s**5 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 308936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3806 is divided by 128?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184991, 370263, 555533, 740801, 926067, 1111331?\nAnswer: 1296593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/88*(-1 + 18) and 73\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438 divided by 54712?\nAnswer: 3219\/27356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 38. Let r = 7 - g. Which is smaller: r or 2\/189?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85174 is divided by 338.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293776897.\nAnswer: 317, 926741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 125a8 (base 13) to base 10\nAnswer: 33938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5147?\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 495, 1488, 2481?\n\"Answer: 993*p - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - r + 10. Calculate j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9508382 and 1794?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 - -54.5. Let j = h + -49. Let t = -3 - -2.96. Which is the third biggest value? (a) j (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 102, 117, 138, 165, 198, 237?\n\"Answer: 3*k**2 + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 0, -12 = -4*f + 6*i - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5859\/4464)\/(((-18)\/16)\/(-3))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*v - 7, -2*v + 8 + 0 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -187*i**2\/2 + 40581*i\/2 - 217 = 0.\nAnswer: 2\/187, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide (-15)\/6*(82 - 862)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 317*v - 314*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 3\/2*m**2 + 0*m - 2\/3*m**3 - 4. What is r(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 12. Let u(w) = 5*w**2 + 7*w + 7. Let b(y) = y + 15. Let i be b(-17). Let g be u(i). Let n be h(g). Sort n, -7, -2 in ascending order.\nAnswer: -7, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 2. Let g = -1 - -20. Suppose 2*l + 7 = g. Let b be o(l). What is the greatest common factor of 56 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -56. What is the tens digit of (-476)\/(-6) - 4\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1723\nAnswer: -6892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 29 = -3*q, 4 = -r - q + 2. Let f(z) = -z - 7. Let h be f(r). Calculate the smallest common multiple of 6 and 2*(h - -1) - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -0.5 (c) 0.6 (d) -130 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 23 - 37 = 0. Let t be (40\/l)\/(7\/9). Factor t - 36\/7*w + 15\/7*w**2.\nAnswer: 3*(w - 2)*(5*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 5*l = 70 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/30 + 122*u**3\/15 - 3721*u**2\/5 - 95*u + 1. Factor r(l).\nAnswer: -2*(l - 61)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -644 and 299.11.\nAnswer: -192626.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 1. Let v be (-6)\/9*-6 - 10. Let b(z) = 27*z**3 + 4*z - 6. Let j(r) = v*t(r) - b(r). What is the second derivative of j(f) wrt f?\nAnswer: -126*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 + 0 + 0*d + 2\/3*d**4 + 8\/3*d**3 = 0 for d.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -8) + 9 + -2 + (-15 - -16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.70000278 + 10.7. Round a to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l = 5*p - 26, -24 = -3*p - 3*l. Let q be -2 - p - -15 - 4*1. Solve 4*t = -2*m - 18, -q*t - 9 = 2*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/41? (a) 2 (b) 0.03 (c) -3\/4 (d) -0.7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -128?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 5 + (5 + 0 - 2)*(10 + 1 - 14) - 3 + 0 + 0)*(499*c + 13*c**2 + 22 - 499*c).\nAnswer: -130*c**2 - 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26981?\nAnswer: 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 22. Let l be ((-6)\/(-4))\/(9\/b). Factor -2*w - 4*w**3 - 3*w**2 - 11*w**4 - 2*w**2 + 10*w**l.\nAnswer: -w*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/48 and 101\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*u**2 - 486 with respect to u.\nAnswer: -244*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y**2 + 2*y - 7. Let i be f(-3). Let t = 358\/129 + -112285\/903. Let a = i - t. What is the nearest to -2 in 2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n - 74*n + 1726 - 162 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*c + 124*c - 57*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 6:45 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/5)\/h**25 assuming h is positive.\nAnswer: h**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90109 is divided by 597?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from todoodldolqoqdod. What is prob of picking 1 t and 1 l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let j = 6 - 4. Suppose c - 8 + j = 0. Let a(n) = 10*n**2 + 6*n + 12. Let g(w) = w**2 + 1. Let p(h) = a(h) - 12*g(h). Calculate c*l(i) - p(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6506 by -1.\nAnswer: 6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 22\/7, 14, 1\/6, 0.2, -0.7 in descending order.\nAnswer: 14, 22\/7, 0.2, 1\/6, -2\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1140)\/(-1463) - (-8)\/22)\/(172\/301). Let z(m) = -m**3 - 4*m**2 + 2*m - 7. Let s be z(-5). Solve 4*c - s = p, 4*c - l*c + 6 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.53 + 5.54. Let n = -14 + s. Let h = -1.93 - n. Which is the third smallest value? (a) 5 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78255 is divided by 7100?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 + -2 + (-3*sqrt(153))**2)*2.\nAnswer: 4*sqrt(17) + 2750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*i**2*t**2 + i*t**2 - 21*t**2 + 1 wrt i.\nAnswer: 410*i*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 5*w**2 - 21*w + 4. Let t be o(-6). Let c be (0 - (t + 1)) + -3. What is c rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6224961, -2\/15, 0.1, -4?\nAnswer: -6224961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7648811324473.\nAnswer: -7648811324472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119800 divided by -5.\nAnswer: -23960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 20 - 4)*(-15 + 15 - 20*a)*(3 - 3 + 2).\nAnswer: 760*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*k - 21. Let a be ((-12)\/14)\/(43\/3010). Let f be a\/15 - (1 - k). Sort -3, f, 3, 0 in decreasing order.\nAnswer: 3, 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -826*f + 30. Let m be k(-2). Suppose -4*y + m = 2*d, -2*d + 15 = d. List the prime factors of y.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:21 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10 + 49\/(-35))*-2. Put 5, 0, x, -3 in descending order.\nAnswer: 5, x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10810 and 940?\nAnswer: 21620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in 8, -0.5, -17, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -2, -0.4, -10, 210, 1\/3 in decreasing order.\nAnswer: 210, 9, 5, 1\/3, -0.4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*g**2 - 2 + 3*g**2)*(1440*g**2 - 1690 + 1690 - 110*g**2).\nAnswer: -1330*g**4 - 2660*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1703 - -1617.9. Let y = -811 - -906. Let w = y + z. Round w to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 0*x + 4*l, 0 = -3*x + 2*l + 17. Suppose 5*n - 3*y = 21, 0*y + 19 = x*n - 5*y. Suppose n*f = 10*f - 791. List the prime factors of f.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 1496*h**2 - 6*h + 1492*h**2 + 4*h + (4*h - 2*h - h)*(0 - 2*h + 0).\nAnswer: -6*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - -0.43. What is the third smallest value in -7, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701997 is divided by 720.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82443572\/22 - (-4 + 0). Let o = 3750358 - d. Let v = -2917 + o. Find the common denominator of 5\/9 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -28*n + 12*n. What is the third derivative of 33*b**5 - 3*b**4 + 6*b**2 - 74*b**5 + 40*b**5 - 1 + n*b**4 wrt b?\nAnswer: -60*b**2 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p - 19. Let h be r(3). Let c = 143 + h. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-100))\/((-5)\/(-6)))\/(1*6\/90).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 252\/(-144)*24\/(-21). Solve -30*z - n*z - 96 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.7, -0.24, 19?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8413928 and -0.1.\nAnswer: -0.28413928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**3 + 12*y**2 - 21*y + 3. Let a(m) = 5*m**3 + 6*m**2 - 10*m + 2. Let z(q) = 9*a(q) - 4*s(q). Let t be z(-7). Is -1\/7 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/2, 5, -0.4, 8 in increasing order.\nAnswer: -3, -0.4, 1\/2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*(-15)\/10. Solve 2*s = -4*t - 0 + 2, s + 3*t + i = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/13 + 1270*z**4\/13 - 1390*z**3\/13 - 5790*z**2 - 141300*z\/13 - 68688\/13 = 0. What is z?\nAnswer: -636, -6, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 24. Suppose h + 3 = 4. Is h smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 5*g + 3*g)*(-4*g + 535*g + 367*g - 158*g) as w*g + x*g**2 + z and give x.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -73*n + 74*n. Solve -2*h + 5 = -5*u + 17, -u = -5*h + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1313 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, 11 in decreasing order.\nAnswer: 11, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -o, 2*b + 3*b + 45 = 5*o. Calculate the greatest common divisor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/8*-1)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28906142, 28906155, 28906168, 28906181, 28906194, 28906207?\n\"Answer: 13*b + 28906129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 13*j + 8. Let u(o) = o - 1. Let b(v) = 3*u(v) + x(v). Let q be b(9). What is the nearest to -0.1 in -2\/3, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.234541 to two dps.\nAnswer: -85.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a**2 + 24*a - 20. Is 4 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158785.\nAnswer: 5, 47, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24184 is divided by 100?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 915*c - 70. Let m be b(-2). Let s = m - -1903. Determine r so that 5*r**2 - 5\/2*r**s + 5\/2*r - 5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a decade in years?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1817 - 223554\nAnswer: -225371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-7))\/(m*m*(m\/(m*m*m**(1\/11))*m)\/m*m)*m**(-8)\/m**(2\/25))**(19\/2) assuming m is positive.\nAnswer: m**(-2584\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193611463?\nAnswer: 19, 10190077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93, -1428, -5529, -13500, -26631, -46212, -73533?\n\"Answer: -215*a**3 - 16*a + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5 + 103. Let t = -16 + c. Let r(j) = 5 - 4*j**2 - t - 3*j**2 + 6*j. Let u(b) = -6*b**2 + 5*b - 5. Give -5*r(v) + 6*u(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471.464l in millilitres?\nAnswer: 1471464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.867543ml in litres?\nAnswer: 0.009867543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 108 = 4*q. Suppose -5*l - 2*g - 2*g + 32 = 0, -5*l = -2*g - q. Suppose 6*b - l = 2*b. Solve 4*s = -b*v - v + 1, 5*s + 22 = 4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/6 + n**3\/3 - 3*n**2\/2 + 527*n. Determine l(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -319.7 - -3.\nAnswer: -316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 74\/26 + -3 - (-23035)\/78. Let b = m + -22196\/75. Calculate the common denominator of b and -77\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -865\/3 + 5\/3*a**2 + 860\/3*a.\nAnswer: 5*(a - 1)*(a + 173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - -823?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p**3 - 160*p**2 + 3*p - 145. Calculate v(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133 - 11*u**3 + 11*u**3 + 1391*u**4 - 4393*u**4 - 891 with respect to u.\nAnswer: -12008*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(1 + 75\/(-72)). Suppose 2*r + j - 16 = 0. Suppose 60 = 4*q - r*l, -2*q - 5*l + 45 = q. Which is greater: q or 14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*u + 28, 0*j - 2*j = 4*u - 56. Let z be -2 - (-2)\/2*-10. Let g = z + 24. Calculate the highest common factor of u and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/5529384 and -28\/47541.\nAnswer: 71881992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228))\/(6*-1*sqrt(3)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124601\/45 + -28054\/9. Let u = 348 + j. Let m = 5 - 5.06. Which is the third smallest value? (a) m (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6709, 26825, 60351, 107287, 167633, 241389, 328555?\nAnswer: 429131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -7\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(3*w + 2*w - 6*w)*(-2 + 3 + 1)*(8 - 8 - 4*w) in the form f*w + m + b*w**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (((sqrt(440)*1)\/sqrt(10) - sqrt(44))\/(sqrt(88)\/sqrt(32)))\/((sqrt(98) - (-5*-2*sqrt(98) - sqrt(98)))*6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471453 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -ac32 (base 14) to base 3\nAnswer: -1111221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, 4\/3, -1\/4, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v - v. Suppose 0 = q + 5*d - 1, 16 = 2*q + d - v*d. What is the second derivative of -3*i + i**5 + 0*i**5 - q*i**5 wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -7*(-247)\/(-133)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358417 or -716833\/2?\nAnswer: -358417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (349 - -1)*(-1)\/(-2). Let d be (-250)\/(-30) - 1\/3. Let p(t) = 5*t - 15. Let h be p(d). What is the highest common factor of c and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-84)*-3)\/(411\/(-2192))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 342?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 160, 295, 526, 859, 1300, 1855, 2530, 3331?\n\"Answer: g**3 + 42*g**2 + 2*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:49 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:12 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12438 and 4527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 9. Let a be 1\/(21\/12)*7. Suppose 0 = -a*c + 15 - 7. Let q be (0 - c)\/(3\/(-6)). Give f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 220428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.02, -2, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -4*m + 42. Let r = -110 + m. Let f = 63 + r. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {p: 6, c: 7, d: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -1\/240*o**6 + 2*o**2 + 5\/48*o**4 + 0*o**3 - 1\/30*o**5 + 0*o + 146. Factor w(z).\nAnswer: -z*(z - 1)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d - 6*d + d + (-3*d - 4*d + 4*d)*(3 + 1 - 5) - 2*d - 2*d + 2*d)*(8 - 8 + 8*d).\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/6 + 15*a**2\/2 + 14*a. Let q be o(-9). What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -177 in 13.05, 1\/5, -0.24, 5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*((-68)\/(-935))\/((-4)\/10)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 142475*h + 854769. Calculate j(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*v = -16, 2*n = -7*v + 3*v + 16. Let i(g) = g - 5. Let a be i(n). Let y(p) = p**2 - 7. Calculate the lowest common multiple of y(a) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 942197.25 to the nearest one hundred.\nAnswer: 942200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2000474\/1127 - (-3)\/(-69)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jjjmmmzjmz.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 + -3945?\nAnswer: -3866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000165087 to seven decimal places.\nAnswer: -0.0001651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1010100101111000011111 (base 2) to base 10\nAnswer: 2776607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243537949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 711 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 411867805*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175477 to the power of 1\/2, to the nearest integer?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 6. Let g be z(-4). Suppose 57 = 3*m - 3*q, g = -5*q - 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*z + 8 = 0, -o = -4*z - 0*z + 13. Sort 1, o, 2 in increasing order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282431 is divided by 94109.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = -j, -a + 2*a - 4*j - 22 = 0. Solve -4*t - y = 16, 2*y = 3*t - a*y + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b - 56. What is y(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - r - 15*r + 2*r - 3*r + 0*r + (-2 + 1 - 2)*(r + 3 - 3) - 8*r - 4*r + 5*r to the form b + m*r and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7\/q*q*q\/(q*q**(-7\/3)\/q*q)*(q*q**(1\/9))\/q*q**(-1\/3) assuming q is positive.\nAnswer: q**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, g: 5, j: 5}. Give prob of sequence jggg.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337\/13 - 4521\/208. What is the common denominator of 42\/5 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 913 and 2130.\nAnswer: 1944690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 4*k - 7. Let x = 3 + -1. Let b = -2 + x. Suppose 0 = -2*o - b + 10. Let r(t) = 6*t**2 + 3*t - 6. Calculate o*f(v) - 6*r(v).\nAnswer: -v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -36 in descending order.\nAnswer: -5, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 314*j\/11 - 5244\/11.\nAnswer: -2*(j - 138)*(j - 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 75. Solve -5*a - 5 - i = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14424862 divided by 2\nAnswer: -7212431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4*y + 11*d**4 + 3*d*y + 1247*y wrt d?\nAnswer: 8*d**3*y + 44*d**3 + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 167 = 18*x. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -17*p**4\/24 - p**3\/6 + 3*p**2. What is the tens digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4)*486\/1215.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1200*p + 259. Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1180.25 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 731758441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216750 divided by -6375.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 10*b**2 + 2*b + 4. Calculate t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31111010 (base 4) in base 3?\nAnswer: 2202220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/4 + 69925*c\/2 - 19535755\/4.\nAnswer: 5*(c - 139)*(c + 28109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35868118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 241620.5m?\nAnswer: 241620500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 22. Let s(x) = -21*x**2. What is s(c(p))?\nAnswer: -84*p**2 - 1848*p - 10164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/114*(0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1506\/785, 0, -4, -0.19 in decreasing order.\nAnswer: 1506\/785, 0, -0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:19 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 646 - 646.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(1 - 1 - 2)*(-3*p + 2*p - p).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38112 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -2*l - 4*h, 3*h = -l - 4. Let w be (l + 5 - 4) + 1. Which is bigger: -66\/25 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 9) to base 13\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p + 2. Let v be (80\/(-56))\/(4\/(-14))*-1. Let s(j) = -2*j**2 - 7*j - 4. What is v*g(t) - 3*s(t)?\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 459?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 38 = -2*n, 6*n = -3*d + n + 41. Suppose t = -c + 17, -5*t + 22 = 3*c - 29. Calculate the greatest common divisor of c and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = 0. Suppose -4*f + x*y - 3*y + 323 = 0, 4*f = -2*y + 318. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101010011101110 (base 2) to base 8.\nAnswer: -1352356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4946497 to three decimal places.\nAnswer: -14.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + 39*m - 1207227 = 80*m. What is m rounded to the nearest 1000?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 57\/30. Let r be (-9)\/(-24)*(-8)\/(-6). Suppose -z*j + r*j**2 + 1 = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564253.747 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*s**3 - 18*s - 950 + 1891 - 941 to a*s**3 + u*s**2 + g*s + w and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 261 = -v, -2*o = 2*o - 5*v - 255. Suppose 5*u = -40 + 125. Calculate the remainder when o is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyzzzyy. Give prob of sequence yzzz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1519 + 1059 - 3425 - 86)*(7*p - 3*p - 2*p).\nAnswer: -7942*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1343\/66 - -307\/15. Let d be (-1318)\/(-396)*(-14)\/10. Let q = d - p. Calculate the common denominator of q and -23\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262956 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22598 by 6.\nAnswer: -11299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 0) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(1\/(66\/11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4)\/f**(-3))**(-5))**(12\/17) assuming f is positive.\nAnswer: f**(-135\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 237473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.131 - -7.919. Let t = 10 - q. Let y = t + -0.71. Round y to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-2*2)\/((sqrt(12) - (sqrt(36) + 2*sqrt(36))\/sqrt(3)) + sqrt(12)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*m**3 + 31*m**3 + 21*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9537943 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 430.9584l?\nAnswer: 430958.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4827775 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**10\/15120 - n**9\/3780 + n**8\/3360 - 5*n**4\/6 + n**3\/2 - 45*n**2. Let p(l) be the second derivative of j(l). Factor p(o).\nAnswer: 2*o**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 16, -33\/4, -21?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:57 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -11. Suppose -2*y - 2*y + 148 = 0. Let m = 43 + y. Calculate the greatest common factor of m and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 60067.52cm?\nAnswer: 600675200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176571925, -353143849, -529715773, -706287697, -882859621?\nAnswer: -1059431545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31556949 and 2532?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82052*l - 163849*l + 81807*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-2))\/(103\/(-36050)*-140).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11117?\nAnswer: 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cczb when four letters picked without replacement from {z: 1, b: 2, c: 2, v: 2, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9156490 rounded to the nearest ten thousand?\nAnswer: 9160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 24, 31, 42?\n\"Answer: 2*u**2 - 3*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110157445 + 14*j**2 + 2*j + 110157445 + 0*j**2.\nAnswer: 14*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**5 + 45*c - 176*c**5 + 121*c + 101*c wrt c?\nAnswer: -3580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 - -313. Let i = -53 + z. Let m = i + -25. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -4 - 4\/7*b - 16\/21*b**3 - 3\/14*b**4 - b**2. Factor t(c).\nAnswer: -2*(c + 1)**2*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.86 - 7.8598329. Round t to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -480*p**2 - 4313*p + 22. Calculate l(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.398467 * 4.\nAnswer: -25.593868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/305 + (-819540)\/(-4826808)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1124\/7*v**2 - 2\/7*v**4 + 0 + 0*v - 1126\/7*v**3.\nAnswer: -2*v**2*(v + 1)*(v + 562)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-9 + 24 - 1) - -11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7940887 is divided by 2973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from pbbqbbdspqbpbsbddbbb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -241159 - -1?\nAnswer: -241158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 74?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + x - 85 = 0, g - 3*x + 33*x = 2*x + 193 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxexnxxxxxx. What is prob of picking 4 x?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b + 31. Let d(c) = 3*c - 6. Let o(v) = 11*d(v) + 2*u(v). Let x(p) = -13*p + 27. Let t be x(2). Let s be o(t). Sort s, -2, 3, -5.\nAnswer: -5, -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 779\/864 + -35\/96. Let j = -98\/69 - -2947\/828. Find the common denominator of m and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -22. What is the remainder when 66 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -226. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2954815182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 + 3*c + 1. Let v(k) = 7*k**2 - 5*k + 7. Let a(s) = -13*s**2 + 9*s - 13. Let b(z) = 6*a(z) + 11*v(z). Calculate b(d) + o(d).\nAnswer: -d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11030223 + 3?\nAnswer: -11030220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*o + 5*o**2 - 5*o**2 - 61*o**3 - 2 - 4*o**2 - 204*o.\nAnswer: -61*o**3 - 4*o**2 + 21*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let a(j) = 7*j + 10. Give a(b) - 5*r(b).\nAnswer: 2*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 127169?\nAnswer: 8138816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -845 - 5\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 6*h = 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1\/(-1))\/(12\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/5*r**5 - 1 + 25*r - 12*r**2 + 2\/3*r**4 + 10\/3*r**3. Factor t(c).\nAnswer: -4*(c - 3)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/4 of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzz when three letters picked without replacement from zzgge?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 + m**2 - 8*m + 2. Let z(x) = -3*x**3 - 4*x + 1. What is 4*s(r) - 7*z(r)?\nAnswer: r**3 + 4*r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 381\/8*(-5 + 344\/72) and 43\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 13*d**2 - 33*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435 divided by -3?\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.189 - -0.089. Let o = g - -5. Let c = -3.1 - o. What is the closest to 0 in 0.5, -2, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518320 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(4\/(-6))\/((-152)\/(-114)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 + -238. Which is the closest to 0.08? (a) 0.4 (b) 1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340589819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 5951 + 677 = 7956. What is the lowest common multiple of x and 27?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-11)*(-3)\/(-228)*(-5)\/((-90)\/(-24))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 26 - 38. Let b be -24 - 1\/(-4)*s. Let c be 12\/54 + b\/72. Is c smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 9178*b**3 + 219450*b**2 + 1507150*b + 3195500 = 0. Calculate b.\nAnswer: -4565, -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, g: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-5) + 6\/15. Suppose l + 1 = 2*l - 3*y, 0 = 3*l + 2*y - 3. Let n = 1 + l. Sort n, a, 0 in ascending order.\nAnswer: 0, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:48 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -92, -3, 2, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/4, 1.6, -622, 3 in ascending order.\nAnswer: -622, -3\/4, 0.3, 1.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 8:04 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (12540\/24 - 3)*(0 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*z + 4*z**3 - 18*z)*(1 + 3 + 2).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/4*(-5)\/(-25))\/(-4 - -5). What is the second biggest value in i, -2, -1\/12, -2\/5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.01, 0.4, -3, 1\/21, 0.1 in descending order.\nAnswer: 0.4, 0.1, 1\/21, 0.01, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517795?\nAnswer: 5, 107, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191783021 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 298\/16187?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 305040120 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -0.675, 163 in decreasing order.\nAnswer: 163, 116, -0.675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2534)\/(-240)*(-2)\/7 and -35\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47423 and 2679.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153152\/735 + -3128\/15. What is the common denominator of 17\/27 and u?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let q be (4\/(-6))\/((-16)\/96). Let v be q\/34 + (-10 - -10). Which is the nearest to 1\/5? (a) v (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 1, l: 8, o: 4, r: 1}. What is prob of picking 2 o and 1 l?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 132\/132625?\nAnswer: 132\/132625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*u = -4*d + 5, -5*u + 5 = 0. Let g be 0\/(7 + -12) + d. Solve -29 = g*s + 2*o, -4*o - 6 = 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(459) + 2*(-1*sqrt(459) - sqrt(459)))\/sqrt(9))\/(3*sqrt(75) + sqrt(15)\/(sqrt(5)*-1)).\nAnswer: -3*sqrt(17)\/14 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544993996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31777\/34200 - 67\/72. Let f = -31799 - -31799. Is a smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -137, -204, -275, -350, -429, -512?\n\"Answer: -2*d**2 - 57*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29\/(522\/24)*(-3 + 0). Let y(s) = -3*s**2 + 6*s - 6. Let v(w) = 2*w**2 - 5*w + 5. Calculate b*v(o) - 3*y(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-24)*504\/42. Solve 6*o + s*o = 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803385.\nAnswer: 3, 5, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2326.95 and -16362.\nAnswer: -14035.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 1. Suppose -128 = -11*d - 21*d. Let u(p) = 16*p + 6. What is d*u(g) + 22*o(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 12. Suppose 881*u - 889*u + 21280120 = 0. Suppose -3*l + l + u = -5*n, m*n = -5*l + 6649985. Round l to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/120 - j**5\/60 - j**4\/8 - j**3\/6 + j**2 - 3. Let g(p) be the second derivative of v(p). Calculate g(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*r + 930 = 8*i, 3*r = i - 236. Let v be 4\/18 - i\/(-18). Suppose 0 = -0*n - 5*n + 20. Solve n*q + 1 = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -22, -6, 44, 140, 294, 518?\n\"Answer: 2*o**3 - o**2 - 17*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let p be w(-3). Suppose -5*q - z + 1 - 3 = 0, q - 4*z - 8 = 0. Suppose 18 = -f + 5*s, 0 = p*s - 12 - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1056)\/63360*15\/(-2). Sort v, 1.39, 2\/75.\nAnswer: 2\/75, v, 1.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 4543?\nAnswer: -4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(176) + sqrt(176) + -2 + -3 + sqrt(176) + sqrt(176) + (2*(-4*sqrt(176) - sqrt(176)) - sqrt(176)) + 3)**2 + 1 + -1.\nAnswer: -34512 - 448*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 + 14848*d**2 + 221924*d + 384488 = 0?\nAnswer: -3697, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4858.3561 - -89.33515.\nAnswer: -4769.02095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -71*j**7\/210 + 55*j**3\/2 - 78*j**2. Differentiate t(a) with respect to a.\nAnswer: -284*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 9*g**2 + 13*g - 11. Determine s(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y, -2*y = n + 2*y - 2*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -14 - 1. What is the common denominator of z - 2\/4*-4 and (33\/2)\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f**24)\/f))\/((f\/f**(-2\/23))\/f)*(f\/((f*((f\/(f**(-4\/9)*f))\/f)\/f)\/f))**(-29) assuming f is positive.\nAnswer: f**(-20327\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.8 - -51.9. Suppose 12 = -4*w, -2*d + 7 = -5*w - 16. Which is the closest to s? (a) 3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:13 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12837424 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(8\/(-32))\/(2\/(-1)*(-13)\/(-52))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3845 * 14.79.\nAnswer: 56867.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 118.4.\nAnswer: -118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2957475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, b: 1, a: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1458192*k*n*r - 579550*n*r wrt k.\nAnswer: -1458192*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110817165, 110817166, 110817167, 110817168, 110817169?\n\"Answer: s + 110817164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvov when four letters picked without replacement from {y: 1, v: 2, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w. Solve w = 2*z - 3*r - 1, -z = -r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 - 3066\/(-6424). What is the smallest value in r, -4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/3 - 7*f**2\/2 + 6*f. What is the derivative of l(y) wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20385?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 8) + -10 + 11 + (-3 - 4)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0697, 2, -4\/9?\nAnswer: 0.0697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449776772*c**3 - 88915*c**2 + 3*c - 179.\nAnswer: 2698660632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*x = -0*w - 206, -5*w - 5*x = -275. What is the second derivative of 114*p**5 - 2184*p**3 - w*p + 2184*p**3 wrt p?\nAnswer: 2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*z - 136*z - 80000 = 0. Let j be z*(1 + (-9084)\/(-16)). What is j rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*s**3 + 57024*s**2 - 17353*s.\nAnswer: -s*(s - 2479)*(23*s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 85*j**3 - 95*j**2 + 85*j + 90.\nAnswer: 5*(j - 18)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39605 * -0.2\nAnswer: 7921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1291958, -5, -1 in decreasing order.\nAnswer: 1291958, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212222001222 - -1?\nAnswer: 1212222002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 1 - 1)*(3 - 3 + 2*d) + 100*d**2 + 76*d**2 - 110*d**2 - 25*d**2 - 17*d + 17*d to a + t*d**2 + j*d and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 1. Let f(o) = 3*o - 2. Let a = 116 + -111. Suppose -a*n - 60 = 4*r + r, -2*r + n - 12 = 0. Give r*u(c) - 5*f(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*p - 14, -5*p - 6 = 2*a + 6. Let g = 287 + a. Factor -g*z - 2 + 2*z**2 + 286*z.\nAnswer: 2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*z + 16, 0 = -5*h - 4*z - 15 - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 969?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 at least -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3036 and -49\/4686?\nAnswer: 215556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -3.06. What is the second smallest value in y, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 5, r: 2, o: 1, e: 1}. What is prob of sequence rr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -377*g - 28630. Calculate u(-76).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 - 488*u - 205. Give j(-81).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*l - 6460 - 3737 + 3431 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, u: 4, n: 3, y: 3, w: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.495 * -3.\nAnswer: -1.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 5*n. What is the second derivative of 3*w - 3*w**5 - n*w**5 + 2*w**5 + 0*w wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 674737, 2698951, 6072641, 10795807?\n\"Answer: 674738*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -5, 2, 1\/2 in increasing order.\nAnswer: -5, 1\/6, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4210387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -1544\/13. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344 is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + -5*(-1 + sqrt(1088) + -4 - sqrt(1088))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 47*b - 75724 = 42*b, 3*b = 5*k - 126150. List the prime factors of k.\nAnswer: 3, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - t**3\/6 - t**2. Let g(p) be the first derivative of i(p). Let j(a) = 3*a. Calculate g(j(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((288\/(-1536))\/(6570\/(-80)))\/(7\/28)?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:55 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*315\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-63.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2197 + 2280. Solve i*d = 114*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10891, 21783, 32675, 43567, 54459?\n\"Answer: 10892*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 18*a**3 + 9*a**2 - 78*a - 72 = 0. Calculate a.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m**3 + 396*m - 396*m - 154*m**3 - 123*m**3 + 496*m**3 - 117*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 7*a**3 + 105 + 103.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135681702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1601, 2192, 2691, 3098, 3413, 3636, 3767?\n\"Answer: -46*z**2 + 729*z + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37331, 74662, 111993, 149324, 186655?\nAnswer: 223986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253c32 (base 14) to base 9.\nAnswer: 2357515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/10 - 51*s**5\/20 - 11*s**4\/4 + 77*s**3\/2 - 72*s**2 - 638*s. Determine o so that q(o) = 0.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4377580*g**2 + 35893606*g wrt g.\nAnswer: -8755160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100211 + 10?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:20 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-5*u**3 + 3*u**3 + 0*u**3)*(-3 - 1 + 5).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20851 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 3, w: 1, u: 2, x: 1, h: 2}. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9063074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30093969.\nAnswer: 3, 10031323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)*b**(-2\/11)*b*(b\/b**(2\/5))\/b**(-2\/3) assuming b is positive.\nAnswer: b**(2738\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:42 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -713, -1000, -1233, -1412, -1537, -1608?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255190 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: Suppose 446*y - 4*c = 443*y - 12, 0 = -5*y - c - 20. What is the closest to y in 2\/5, -6, 0.01?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 3. Suppose 4*t + 0*t - 576 = 0. Let r be t\/(-40) - 4\/10. Let i be y(r). Put -2, i, 2 in increasing order.\nAnswer: i, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*v - 17. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - 174. Give l(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*s = 52, -3*y + 17 = -4*y + 5*s for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36211082792.067 + 36197362504.0670012. Let c = w + 13720282. Let o = c - -6. What is o rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 260, 273, 304, 359, 444, 565, 728?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a + -3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75.42569ng?\nAnswer: 0.00000007542569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9870260 a multiple of 1580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 7*w**2 + 1076*w - 5281. Determine x(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8957*u - 62574. Determine f(-7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24489?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.634 - 0.034. Let m = h - 1.59955. What is m rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w + 60. What is r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/105 - 5*w**4\/12 + w**3 + 24*w**2 + 19*w. Let m(z) be the first derivative of r(z). Differentiate m(a) wrt a.\nAnswer: 8*a**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990266?\nAnswer: 2, 3, 331711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 4, x: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448 (base 9) to base 4.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28825 - -76046. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-15) + (-273)\/405. Let r be ((-2 + -3)*2)\/1. Let l(t) = t + 14. Let o be l(r). Which is the third smallest value? (a) o (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*r - 1349*r - 1417 + 6268 = 0 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 184820.\nAnswer: 7577620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.14 + -0.14. Let a = j - 14.000135. What is a rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(24)\/(sqrt(12) + sqrt(12) + sqrt(432)*-6).\nAnswer: -3*sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -815*m**3*p**2 - 2*m**3*p - 2*m**3 - p wrt p.\nAnswer: -1630*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 - 2*k + 1. Let u be p(-8). Suppose 0 = -u*n + 23*n - 504. What is the highest common factor of n and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(38) - sqrt(38))\/sqrt(2) + -2*(sqrt(19) + 1)**2.\nAnswer: -40 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1705 + 17637. List the prime factors of h.\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(21\/12 - 1). Let f be (k + 0)*(6 - 9). Let t(x) = -x**2 - 10*x - 12. Let n be t(-8). Solve -n*q + f*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.85646 - 131.8. What is o rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, b: 1}. What is prob of picking 3 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u - 87 = -5*x, 0 = u + 4*x + 6. Let m(q) = 2*q - 28. Let r be m(12). Is 6 a factor of -3 - u\/r*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(4\/9))*f**(-10)*(f**(-1)\/f)\/f*f\/f**12 assuming f is positive.\nAnswer: f**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 2275160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 5*u + 6. Let a(d) = -13*d**2 + 20*d - 24. Let g(p) = 2*a(p) + 9*i(p). Suppose -3 + 51 = -2*z. Let v = z + 28. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -21, -3\/2, 13.4, -3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 4. Let q = 7 - 22. Let g = q + 16. What is the nearest to 1 in g, -1\/4, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171\/28 + -25\/4. Suppose 0 = 2*m + m + 6. What is the closest to 3 in m, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 5. Suppose -3*k - 17 + 0 = h, 2*h + 28 = -5*k. Solve 3*l = 2*y - y - h, n = -4*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -1279.\nAnswer: -68\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + sqrt(144)) + -1 + sqrt(8) + 0.\nAnswer: -1 + 11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 85*s + 0*s**3 + s**3 - 1029176*s**4 + 1029177*s**4 + s**2 as d*s**2 + o*s**4 + y*s**3 + u*s + x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 7*s**2 - 8*s - 4. Let o be h(-7). Suppose -56*r - 16 = -o*r. Which is the fourth smallest value? (a) r (b) -0.5 (c) 1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 54. Give g(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + (15 + -129)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751894 - 18.61774?\nAnswer: 4751875.38226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itittiitutttttfittt. What is prob of sequence tu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a9a5b (base 12) in base 9?\nAnswer: 10706458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + p + 1. Let y(k) = 22*k**3 + 19*k**2 - 6*k - 6. Let j(c) = 6*n(c) + y(c). Find the third derivative of j(t) wrt t.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k**3 - 2*k**3 - 25 + 6*k**3 wrt k?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p**0)**(-4)\/((((p*p**(2\/13)*p)\/p*p)\/p**(-3\/4))\/(p\/p**(-6)*p\/p**4)) assuming p is positive.\nAnswer: p**(681\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 = 2. Let s(i) = -i**y + 0*i**2 - i**2. Let n(h) = h**2. Calculate s(n(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 7. Suppose 4*b - 2 = 22. Let t be (0 - -15)\/((-9)\/b). Let w be g(t). Calculate the highest common divisor of 34 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8091291 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - x + 3 = 0, -4*x = -3*b - 0*x + 5. Let d be b*1 + 5 + -4. Let g(t) = t**3 + 2*t**2 - t + 177. Is g(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6867.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/36 + 1)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/105 + 5\/(-25))\/(-2 + 1). What is the nearest to 1\/4 in l, -2\/793, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:26 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 63210414?\nAnswer: -63210411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/118 and 6\/1003.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -13854*g + 28. Let t(h) = -h - 3. Calculate t(o(i)).\nAnswer: 13854*i - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22495186 is divided by 3213597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -9 (b) -17 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 42*i**2 - 76*i - 156. Let r be n(40). Solve -4*z + r = -2*z, -k + 12 = 5*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 + 502?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**2 + 9*u - 6.\nAnswer: 3*(u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1463208?\nAnswer: 1463212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 - 2*h**3 + 126475*h + h**4 - 126472*h - 3 + 3 to the form k*h**3 + b + s*h**2 + i*h + n*h**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(19) + -3) - (-2*(sqrt(475) + -1*sqrt(475)) - sqrt(475))**2.\nAnswer: -474 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v - 2*v)*(6000*v - 16545*v + 4963*v) to the form c + u*v**2 + j*v and give u.\nAnswer: 11164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12701 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24. Solve -3*s - q + 5 = 0, -4*s + 26 = i*q + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u - 83*u + 228*u - 47*u - 49*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 53. Let y = -7 + 7. Suppose y*u - 2*u = -8. Calculate the greatest common factor of r and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 406*o**2 + 210*o + 28. Let m(f) = -45*f**2 - 24*f - 3. Determine 35*m(j) + 4*y(j).\nAnswer: 49*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242.48 - -242.08. What is the closest to 0.1 in v, -189, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let t(l) = 23941*l + 27. Give y(t(b)).\nAnswer: 23941*b + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.218 and 24.\nAnswer: 23.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3999?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose 11*n + 4*n = 30. Solve w*h = -3*v + n*v + 11, -5*h + 27 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 80*j**3 + 144*j**2 = 0. Calculate j.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -35*v**3 - 213*v - 215. Determine i(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101101222010 - -20?\nAnswer: -1101101221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:37 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137712863479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*1\/((-4)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)*x*x**(-2\/35)*x)\/(((x*x**(-21))\/x)\/(x**(1\/4)\/x)) assuming x is positive.\nAnswer: x**(613\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggu when four letters picked without replacement from {n: 8, g: 3, a: 2, y: 3, u: 3}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 325*(8\/28 + (-10)\/(-14)). Suppose 25 = -15*i + a. What is the lowest common multiple of (0 - -2)\/(3\/114) and i?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-157477.\nAnswer: 472431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) -4 (c) -48 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -37073\nAnswer: 2\/37073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843 = -s - b, -5*s + 4*b - 734 = 3499. List the prime factors of (-4 + s)*3\/(-6)*4.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:23 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3\/7*j**4 + 3*j**2 + 15\/7*j**3 - 18\/7 - 15\/7*j = 0?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213735, 213718, 213701, 213684?\n\"Answer: -17*i + 213752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3076 = -6*a + 3998. What are the prime factors of a?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2030569*r + 2030569*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720159?\nAnswer: 3, 11, 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqqx when four letters picked without replacement from {q: 3, b: 1, x: 7, g: 4, h: 1}?\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 11561.1\nAnswer: 393077.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/48 - 1\/48. Let a be (-336)\/(-448)*(-4)\/9. Put 70\/17, o, a in decreasing order.\nAnswer: 70\/17, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 + 23*s + 15. Let h be i(-7). Let v = h - -141. Let j(z) = z**3 + 7*z**2 + 6*z - 1. Calculate j(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22315 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157206 is divided by 3743.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 341?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (5 - 4 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2131 + -1500?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcdqwkw. Give prob of sequence kwq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l. Let b(h) = 10*h + 1172. Determine r(b(z)).\nAnswer: 30*z + 3516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5541? (a) -8 (b) -5 (c) 4\/5 (d) -16 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12221000341 + -332?\nAnswer: -12221001223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15606291?\nAnswer: 3, 43, 311, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.406 and -6?\nAnswer: 2.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**2 + 2*i - 1. Let l be d(1). Let k = l - -9. Solve k*v + 4*j - 16 = v, -1 = v + j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j. Let z(a) be the second derivative of a**5\/4 + a**4\/12 - 7*a**3\/6 - 7*a. What is -6*c(k) + z(k)?\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188973349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 2 (c) -59.255 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/154 + (12\/(-7))\/(-4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471349 is divided by 160?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -259*g - 3114. What is p(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 0*j + 3*j)*(j + 6*j - 6*j) + (4 - 1 - 5)*(-7*j - 3*j**2 + 7*j) + j**2 - 4*j + 4*j)*(-2*j**3 - j**3 + j**3) + 5*j**4 - 5*j**4 + 5*j**5.\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -14*w**2. Let n(h) = 4*h**2 + 3*h + 3. Let r(j) = -5*j**2 - 4*j - 4. Let q(m) = -4*n(m) - 3*r(m). What is q(d(y))?\nAnswer: -196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289\/19? (a) -7 (b) -3\/5 (c) -6\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let s(p) = 2*p**2 + 3*p + 3. Let f(r) = -r**2 - r. Let q(c) = -6*f(c) - 2*s(c). Let d(z) be the first derivative of q(z). Determine x(d(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139824.\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:50 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-9) - (-20024)\/36)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**37*m*(m**1\/m)\/m*m*m*m**(-3))\/((((((m*(m\/(m\/(m\/(m\/((m**7\/m)\/m)))))\/m)\/m*m)\/m)\/m*m*m)\/m)\/(m*m**(-2\/7))*(m**0)**8) assuming m is positive.\nAnswer: m**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5069*d**2 - 2*d + 2. Let t(c) = 32*c**2. Give k(t(i)).\nAnswer: -5190656*i**4 - 64*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.51 - 0.49. Let w = p + 82. Let m be 18\/21*2 - 2. Sort 2, w, m, 1\/3 in descending order.\nAnswer: w, 2, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Let x = -2.4 + y. Let h = -0.2 + x. What is the biggest value in 5, 2, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98735853 times 0.7?\nAnswer: -69115097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -807, -3209, -7211, -12813, -20015, -28817, -39219?\n\"Answer: -800*k**2 - 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 4*x**2)*(-2 + 3 + 1 - 2*x**3)*(-13 + 1 - 11).\nAnswer: -184*x**5 + 184*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/110 + (-3)\/15\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -19, -2, -5, 1 in descending order.\nAnswer: 6, 1, -2, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:57 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000501018361 to seven decimal places.\nAnswer: -0.000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z + 3*j + 17, 0 = -2*z - j - 11. Suppose 23 = 3*a - 10. Calculate the lowest common multiple of a and 0 - (128\/z)\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, 0.2, 10, 0.3, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 15 + -12 - (0 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-45 - -47)\/(2\/(-747)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 5. Let t(c) = c**2 + c + 29. Let u be t(0). Suppose 3*b - 4 = m + 15, -u = -3*b - m. Let p(f) = -2 - 1 + 9 - b*f. Calculate 6*p(r) + 7*s(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = -7*f. Sort f, -5, -4, 1.\nAnswer: -5, -4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:50 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*u + 5 = 0, -2565 + 2485 = -16*j + 2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 857*k + 3849. Give z(-4).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/((-9)\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-10) - 1\/2. Let c = 0.13 + 0.02. Let p = -0.05 + c. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:19 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7756 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 6*m - 10. Calculate the smallest common multiple of 18 and -3 + 3 + (m - 3 - -41).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 738\/731983?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1074388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + (4 - (-110)\/8). What is the highest common factor of f and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 6*d + 3*k - 1260, -1260 = 5*d + 5*k. Let y(g) = g**3 + g**2 + g - 1. Let a(u) = 96*u**3 + 84*u**2 + 84*u - 84. Give d*y(l) + 3*a(l).\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 10\/19, 556\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 520\/(-50)*5\/2. Let i = g + 29. Solve -8 = i*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*y**4 - 161*r**3*y + r*y - 694*y**4 wrt y?\nAnswer: 24*r**3*y**2 - 8328*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 57 - 19 + 89*c - 30.\nAnswer: 89*c - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o + 16 = -q, o = q + 4. Suppose -20 = -3*y + 3*b + 7, -4*y - 4*b + 12 = q. Solve -4*v = -y + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2715182.64 - -14373704.97. Let u = n + -17088942.61000046. Let q = 55 + u. What is q rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 152*r**2 - 13*r + 155. What is the tens digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 219582607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, s: 10, i: 2, r: 1}. Give prob of picking 3 x and 1 r.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -521 + 908. Let b = k + -387. Let g(v) = v**2 - v + 2. Let t be g(-2). Solve b = 2*l - 6*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 13836.\nAnswer: 41508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -26 + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052599511 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24400 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let z be (-2)\/(-21)*42\/24. Let t(n) be the second derivative of z*n**3 + 0*n**2 + n + 0. Calculate u(t(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 4*z**2 - z - 6. Let i = 15 + -10. Let j(q) = -6*q**3 + 5*q**2 - 2*q - 7. Let g(s) = i*d(s) - 4*j(s). What is u in g(u) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 658800 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*i + 15, 2*i + 23 = 3*x + 3. Let w = -32.39 - -32.79. Let t = -1.7 + 0.7. Which is the biggest value? (a) w (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132888\/1344 + -99)*(0 + 3*5)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 3:34 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -90?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-20) + (-116583)\/(-4). Let j(d) = n*d + 1 - 699*d + 80029*d + 51525*d. Let v be j(-1). What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -2*x - 2, x + 5*f = 6. Let g be (2 - 6\/4)*x. Which is bigger: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.685 + 0.415. Which is the biggest value? (a) -5 (b) -1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-9))\/(6\/387). Suppose -54 = -h + a. Suppose 5*n = h + 50. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 599 and 9.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/285 or 1?\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:01 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*u = 6, 21*x - 19*x = 3*u - 7. Solve 5*k - 20 = -c, -4*c + x = k - 0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-148)\/(-1998) - (-64)\/594. Let z be 18\/(-6) - (-4 - -1). Factor 8\/11*u**3 + s*u + z - 10\/11*u**2.\nAnswer: 2*u*(u - 1)*(4*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 0 - sqrt(18)\/(sqrt(81)\/sqrt(9)) - (sqrt(36)\/sqrt(2) - sqrt(14)\/(sqrt(7)*3 + sqrt(7))))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-244)\/16 + (4 - 1). Let t = u - -12. Let g = -9.0516 + 0.0516. Which is the closest to -1\/3? (a) t (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2\/241 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yssy when four letters picked without replacement from sasassysssyyy?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/78 + (-48)\/32)*(-2)\/(-10). Let z be 2\/(-7) + (-5254)\/(-14). Is m greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k + 2. Let a be t(5). Let b(d) be the third derivative of -d**5\/30 - d**4\/6 - 2*d**3\/3 - 29*d**2. Determine b(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 34. Let q(i) = -6*i**2 - 6*i**2 + 7*i**2 + 0*i**2 - i**2. Determine h(q(x)).\nAnswer: 12*x**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6431, 12869, 19309, 25751, 32195, 38641?\n\"Answer: b**2 + 6435*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 7, v: 4, d: 1}. Give prob of sequence ldv.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145190?\nAnswer: 2, 5, 367, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/4 + 1637*o - 2195353 = 0. What is o?\nAnswer: 1882, 4666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(sqrt(56) - (sqrt(56) - sqrt(112)\/sqrt(2))))\/((sqrt(72) + sqrt(72)*-2 - sqrt(72))*4).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u. Let a(r) = 53*r**2 - 108*r + 10. Give o(a(t)).\nAnswer: -265*t**2 + 540*t - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa5 - -55?\nAnswer: -a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:49 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(1872) - ((sqrt(1872) + -2)*5 + sqrt(1872)) - (-1*sqrt(130)*1)\/(sqrt(360) - (sqrt(360)*1 - sqrt(360)) - sqrt(10)))**2.\nAnswer: -5028*sqrt(13)\/5 + 2283193\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(180) + 4 - sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180) - ((sqrt(180) + 1)*1 - sqrt(180))) + 3 + 4*(sqrt(180) - 1*sqrt(180)) + 1)**2.\nAnswer: -84*sqrt(5) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*v + 36*v - 16*v + 809*v**3 - 45*v**2 - 8*v wrt v?\nAnswer: 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 172*s**2 + 2075*s + 5. What is f(-12)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, r: 2, j: 1, v: 1, k: 3, f: 5}. What is prob of picking 1 v, 1 t, 1 k, and 1 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 2. Let n be i(2). Let a be (-24)\/15 + (-4 - n). Determine j so that 1\/5 - 3\/5*j + a*j**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24977 + 24910.061. Let c = n - -67. What is c rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (sqrt(154)*1*-5 + sqrt(154)))\/(2*(sqrt(7) + sqrt(28)\/sqrt(4))))\/((1*sqrt(22)*3)\/(3*-1*sqrt(2))).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28572759823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 90.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*2\/209*19.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77720 divided by 4?\nAnswer: 19430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 3:46 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21 + 1690\/(-10920).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/2, 806626.\nAnswer: -1\/2, -1\/4, 806626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00268 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -7*m - 28. What is the common denominator of m\/28 - 6\/(-8) and ((2 + -55)\/(-1))\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415052 and 2024.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/3 - (-6 - (-160)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 1\/4, -1\/9, 2\/9, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**2 + 363141*y - 908632.\nAnswer: 2*y + 363141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4014 - -4025. Let x(j) = j**2 - 13*j - 10. Give x(d).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*r**3 - 1240635*r**2 + 1240635*r**2.\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 968705.2ml in litres?\nAnswer: 968.7052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*y - 27990 = 157*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 3*r + r)*(-2*r - 7*r**3 + 2*r**3 + 2*r**3 + (12*r - r + 65*r)*(r**2 + r - r)) to the form p + o*r**2 + v*r**4 + d*r**3 + a*r and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 2*s - 5709853. Let k(h) = -3*h**2. Calculate r(k(g)).\nAnswer: -36*g**4 + 6*g**2 - 5709853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 58*n + 44. Let r be z(-13). Let q = r + 374. Let t = -194 - q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 + 51*o**3 - o + 4.\nAnswer: 12*o**2 + 306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.76808 centuries to years.\nAnswer: 9676.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343100 - 313?\nAnswer: 342232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5333*o + 553*o + 2123*o - 1128*o)*(3*o - 5*o + 0*o + (1 - o - 1)*(2 + 0 - 3) - o - 2*o + 2*o).\nAnswer: -13762*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.77 - -44.8. Which is the closest to t? (a) -4\/3 (b) 1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/60 - j**4\/9 - 18*j. What is f in n(f) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/109689 and -91\/72?\nAnswer: 2632536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -162*m + 22610. What is u(140)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 2*s**4 - 6 - 135*s**3 + 136*s**3 + 0 as x*s + v*s**4 + b*s**2 + o*s**3 + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**3 + 2*r**3 + 2*r**3)*(-4 - 7*r + 4) - 3*r**4 + r**4 + r**4 to k*r**4 + u*r + g*r**3 + f + y*r**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3566895, -7133796, -10700697, -14267598, -17834499, -21401400?\n\"Answer: -3566901*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 228036336232.\nAnswer: 228036336227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/((-5)\/(-340)). Let q(k) = -k**2 - 2*k + 1. Let s be q(2). Let r be 4\/(-14) - a\/s. Solve h = -4 + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21472 + 37893. What are the prime factors of p?\nAnswer: 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -3. Suppose 2*t - y*t = -35. Calculate the remainder when (4 - -2)\/((-2)\/(-9)) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:12 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12172 + -12169. Let f = -0.8 + 0.3. Which is the second biggest value? (a) u (b) -1 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t**2 - 15*t**4 + 51690*t**3 - 1 + 3*t**2 - 51688*t**3 to the form q*t**4 + b*t**3 + j + n*t**2 + w*t and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 + 349.3. Let g = -79.71 + b. What is g rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841501952 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*p**3 + 36*h*p - 146138*h + 89*p**2 - 3*p wrt p.\nAnswer: 6*h*p**2 + 36*h + 178*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.005 - 321.995. Let l = o - -322.2. What is the third smallest value in -0.4, -4, l, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 14*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31520061 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 135, -4, 5, -0.15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39802*1.\nAnswer: 0.39802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 0*g**2 + g**2)*(g - 2*g + 2*g) - 20*g**3 - 8*g**2 + 8*g**2 as h*g**3 + x*g**2 + p*g + w and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 11.5, -7, -1\/2, -6, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a0 (base 14) in base 4?\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n + 4 = 0, -3*n + 56 = 4*o. Suppose -o*z + 2704 = -783. List the prime factors of z.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 27.7. Let s = d + 2.55. Let i = s - -1.15000073. Round i to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*q - 12 + 12)*(q - 2*q + 0*q)*(-5*q + 2*q + 16*q + (0 + 2*q + 0)*(1 - 8 - 1)) in the form f*q**3 + j*q + w*q**2 + x and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tiiifiiiiiitiit.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*sqrt(18).\nAnswer: -1 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(60)\/sqrt(6)) + (0 + sqrt(2299) - sqrt(2299))**2)*1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111486 = -5*d - 2*j + 29521, -2*d + 5*j = 32815. What is the tens digit of d\/(-18) - 1\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnirq. What is prob of sequence niq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -609.\nAnswer: 5\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 108.90846 + 0.01\nAnswer: 108.91846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4205, 16783, 37711, 66983, 104593, 150535?\nAnswer: 204803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -511*w**2 + 564 wrt w?\nAnswer: -1022*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 7*l**2 + 5*l - 4. Let u = -11 + 5. Let q be z(u). Find the second derivative of 4*a**q + 3*a - a + 0*a + 0*a**2 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - n + n + 52*n**4 - 7*n**4 - 6*n**4 + (-3*n + 3*n - n**2)*(-n**2 - 4*n**2 + 4*n**2) to i*n**2 + j + a*n**4 + k*n**3 + u*n and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10620 = -30*f + 6300. Suppose -561*i - 75 = -f*i. Solve 3*b + i - 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a = -179*a - q + 31, 1354 = 194*a + q for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45 + -27)\/((-42)\/4). Let -108\/7*u**2 + z + 6\/7*u**3 + 18\/7*u**5 - 24\/7*u + 60\/7*u**4 = 0. Calculate u.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*f*r**2*s**2 + 10*f*r**2*s + 5*f*r*s + 125*f*r + 2*f*s**2 + 2*r*s - s**2 wrt r?\nAnswer: 102*f*s**2 + 20*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 9. Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605560689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 66710.\nAnswer: 12\/33355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672164 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -226.0764*3\nAnswer: -678.2292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 2*v - 4. Calculate the lowest common multiple of 16 and m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - (0 - (-4 + -3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18752915 - -5?\nAnswer: -18752910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -19, 8, 35, 62?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(445\/1869)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:31 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 11. Let o be p(-6). Let n(m) = -o + 2 + 3 + 3*m. Let d(b) = -27*b + 12. Let a(w) = -11*w + 5. Let k(y) = 12*a(y) - 5*d(y). Calculate n(k(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2364 and 48291792.\nAnswer: 48291792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 28*f + 48.\nAnswer: 4*(f - 4)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Let l(b) = 3*b**3 + h*b - b + 5 + b**2 - 1. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98999 + 921*l + 925*l + 923*l - 2771*l.\nAnswer: -2*l + 98999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.77194ns in hours?\nAnswer: 0.00000000018743665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 + 33. Let y be k(0). Is y at most as big as 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + -8.2863.\nAnswer: -8.2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*k - 26 = m - 127*k, 0 = -2*m - 5*k + 39. Solve 12 = -4*t, 8*l + m*t = 3*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -27*v - 9. What is the units digit of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 8*j + 3. Let s(h) = -7*h**2 - 7*h + 15. Let a(k) = 5*k**2 + 7*k - 12. Let p(w) = -4*a(w) - 3*s(w). What is 5*d(u) - 6*p(u)?\nAnswer: 4*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/7 (c) 5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27360 divided by -360\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -0.1 (b) 2\/3 (c) 1815\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:57 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2276903.8, -0.03, 0.5 in ascending order.\nAnswer: -2276903.8, -0.03, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l**3 - 30*l**3 + 66*l**3 + 49*l**3 + 6*l**3 + 40*l**3.\nAnswer: 173*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. Put x, -3, 4 in increasing order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 255 + -251. Find the third derivative of 30*a**p + 3*a**2 + 70 - 44*a**4 - 78 - 88*a**4 wrt a.\nAnswer: -2448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-45 + (11 - -18))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 600 or 60093\/100?\nAnswer: 60093\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 1 + 1)*(13 + 18 + 0*l - 2*l).\nAnswer: 4*l**3 - 62*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(152) - (sqrt(152) + -3*-2*sqrt(152) + sqrt(152)))*3)\/(sqrt(8) + sqrt(32)*6 - sqrt(32)\/(sqrt(4) - sqrt(4)*2)))**2.\nAnswer: 4275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and 3?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5570\/9 + 22307\/36. Let a = 33 + -32.8. What is the closest to -0.1 in 2\/3, c, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**4\/24 + v**3\/2 + 29247*v**2. Let i(g) = 3*g + 8. Let a(o) = 3*o + 2. Let y be a(-2). Calculate y*i(w) + 11*n(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 3. Let x be s(2). Let a be (x*-75)\/(3\/2). Let w = -30 - a. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*s - 5*h, -178*h + 184*h = 2*s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z + 335. What is t(-23)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - 33\/(-7). Suppose -k*f + 4*f - 3 = 0. Let w be f - (1 - (-39)\/(-9)). Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30240063, -60480152, -90720241, -120960330, -151200419, -181440508?\n\"Answer: -30240089*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110052013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 73 = r, t - 197 = 11*r - 15*r. What is the first derivative of -87 + 41*j + r*j + 38*j - 134*j wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 46*f**2 - 5*f - 6. What are the prime factors of g(-3)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 3*k + 4 - 33 + 25 as a*k**2 + u*k**3 + f*k + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215 and 25?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 2\/3 (c) 0 (d) 2\/7 (e) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 61*u**2 + 792*u - 8. Determine f(72).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = -12. Let g = c + 8. Suppose g*k = 15, -2*k + 15 = 3*a - 6. Solve -3 = a*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/18*-2*(-2 + 65). What is the common denominator of (-15)\/28*154\/r and (-4)\/22*1\/(-4)*-15?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 37. Let t = -18 - v. Sort -1, 0, -4, t in ascending order.\nAnswer: t, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -56, -3, 1, 2, -5, -4 in decreasing order.\nAnswer: 2, 1, -2, -3, -4, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -306*m**3 - 3*m**2 + 2*m - 1. Let n be s(1). Let b be 28\/182 - (2 + n\/26). Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 37*d**2 - 2636*d + 3209. Give h(70).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 - s**5\/15 + s**4\/8 - s**3\/6 - 6*s**2. Let c be v(4). Find the first derivative of 12 - 24*a**3 + 8 + c wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/9, -2\/21, -0.5, 0 in descending order.\nAnswer: 0, -2\/21, -0.5, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362111 is divided by 86.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1344689 + 0.2.\nAnswer: 1344689.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 3178.\nAnswer: -3178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124767698, -124767697, -124767696, -124767695, -124767694?\nAnswer: -124767693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 30232342404?\nAnswer: 30232342301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75640 is divided by 711?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**2 - 114*q**4 + 27*q**4 + q + 28*q**4 + 28*q**4 + 33*q**4 - 2 as h + r*q**3 + u*q + a*q**4 + j*q**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 + -2 - (-2 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 27 = k, 0 = 31815*w - 31817*w + 4*k - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) + sqrt(16)\/(sqrt(8)*3)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiiiiiwoigiioii. What is prob of sequence gi?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2502794 = 977206. Round q to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045852.\nAnswer: 2, 511463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 0.4. Let p = 155 - 154.5. What is the third smallest value in 3\/5, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 126*q - 3. Let o be c(2). Let h = -350 + o. Let g = -54 - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 146, 21, 4 in descending order.\nAnswer: 146, 21, 11, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 2c5?\nAnswer: 2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0 (c) 0.1 (d) -23448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o**16*o**(-12\/11)*o\/(o\/(o**(3\/5)*o)))**1 assuming o is positive.\nAnswer: o**(743\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 419888010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v - v)*(-1 - 2 + 1) - 2*v + 0*v - 4*v - 462922 + 462922 + 37*v.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + -3*(1176\/90)\/(-7). Which is the nearest to 0.1? (a) y (b) 7 (c) 0.3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2\/21, -2\/5, 0.5.\nAnswer: -2\/5, 2\/21, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13398 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15*h**3 - 2*h - 48*h**3 - 5 + 9*h**2 + 17*h**3 + 15*h**3. What is l(9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.32. Let u = 4.12 - q. Which is the biggest value? (a) u (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Suppose -2*h = 2*m + h - 5, -m = 2*h. Suppose 3*z - 8*z + m = 0. Solve n*w + 16 = -z*t, -3*t - 10 = -t + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 + 4*u + 10. Let y be v(-8). Suppose 0 = -12*c + 2*c + y. Suppose -66 = 16*x - c*x. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1056.9 + -1057. Which is the biggest value? (a) -182 (b) -3 (c) 4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -91*w**3 - 189*w**2 - 176*w - 45. Let r(k) = -18*k**3 - 38*k**2 - 35*k - 9. Let x(t) = 6*q(t) - 33*r(t). Factor x(u).\nAnswer: 3*(u + 1)*(4*u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 - 20*k**3 - 2*k + 9*k**3)*(2 - 4 + 0).\nAnswer: 8*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h, 0 = -5*d + 2*h + 35. Suppose 0 = -2*y + 49 - d. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(-2*sqrt(6)*-1 - sqrt(6))*4)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006 plus 615.07303?\nAnswer: 4621.07303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0824307 rounded to 4 dps?\nAnswer: -0.0824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) + 286\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + -3. Let u = -2.3 - -11.4. Let z = u + h. Round z to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16766949, -134135585, -452707597, -1073084673, -2095868501, -3621660769, -5751063165, -8584677377?\nAnswer: -12223105093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1077 + -1687. Let l = z + 606. Let y(a) = -2*a. Determine y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:15 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -3, 344, 5 in ascending order.\nAnswer: -4, -3, 1, 5, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let k(q) be the third derivative of -11*q**5\/60 - 5*q**4\/24 - 874*q**2. Give s(k(t)).\nAnswer: -242*t**4 - 220*t**3 - 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 1092.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 17. What is v(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/234, 3, -0.5 in descending order.\nAnswer: 3, 1\/234, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.5 - -10. What is the closest to -0.1 in 3\/5, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1933 + -1310. Let g = i + -626.248. Let a = -0.052 + g. What is a rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 214*b**2 - 212*b.\nAnswer: -2*b*(b - 106)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/8 - 2*a**4 - 11*a**3 - 24*a**2 - 18*a = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**2 - 11. Let k(g) be the first derivative of 5*g**3\/3 + 3007. What is y(k(x))?\nAnswer: 375*x**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*l**3 - f**3*l - 12566*f**2*l**3 + 202*f**2*l - 5*f*l wrt l.\nAnswer: -6*f**3*l - 75396*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -2220?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -17*i**5\/10 + 7*i**3\/6 - 38*i - 23. Let p(b) be the first derivative of u(b). What is the second derivative of p(w) wrt w?\nAnswer: -204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2350.87 from -1188.2.\nAnswer: -3539.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 199*s**6\/30 - 55*s**3\/6 - 214*s. What is the second derivative of i(a) wrt a?\nAnswer: 2388*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 729*h + 2959462.\nAnswer: -(h - 1394)*(h + 2123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8945*a - 26817*a = -53971 - 174535 + 14042 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 705345920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-62)\/(-105))\/((-51093)\/(-4055)) and 74\/2079?\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 0.1 (b) -1.4 (c) -4.3 (d) 2\/151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, f: 2, v: 2, c: 7, j: 6}. Give prob of sequence cl.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 11608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + y + 2 = -4*p, -y - 14 = 4*p. Let o be 2\/(-3)*(p - -1). Suppose a - o = 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 1 (c) -23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76810140.4 rounded to the nearest 100000?\nAnswer: -76800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -113302 (base 4) in base 13?\nAnswer: -901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**3 + 8*x**2 + 6*x + 6. Let l(o) = -7*o**3 - 9*o**2 - 5*o - 4. Determine 4*l(d) + 3*w(d).\nAnswer: 2*d**3 - 12*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-140))\/((-21)\/12 + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80185.\nAnswer: 5, 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3 - 751785*m**2 - 111156120*m - 219305140 = 0.\nAnswer: -150209, -146, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 37\/2. Which is the nearest to h? (a) -2 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 2579 + 2581 - 5160.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 20*d**2 - 23*d + 34. Let x be t(21). Let f(z) = -6*z - 60. Give f(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0385 * 21.9.\nAnswer: -22.74315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5655.29 kilometers?\nAnswer: 565529000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92213, -92274, -92335, -92396?\n\"Answer: -61*i - 92152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/9 + -3 + 2. Let i = 720 - 717. Which is the nearest to -0.1? (a) h (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003869 rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(33)\/(sqrt(44)\/sqrt(4)) + 4 - 6*(0 + (sqrt(9)\/sqrt(3))**2)*-4).\nAnswer: -5*sqrt(3) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 g when three letters picked without replacement from {o: 1, h: 3, c: 1, g: 4, n: 7}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 89*v**3 - 11*v**2 - 13*v - 252. Let h(z) = -8*z**3 + z**2 + z. What is -11*h(j) - r(j)?\nAnswer: -j**3 + 2*j + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v - v - 7*v + 4*v to w + t*v and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116365, -930856, -3141617, -7446784, -14544493?\nAnswer: -25132880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2 + t - 22. Let h = 5 + 3. Let w be j(h). Is (w\/2)\/(1 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k - 50. Let l be x(6). Let v = 175 + l. List the prime factors of (v\/(-4))\/((-12)\/288).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u + 17. Let w(n) = -975*n**2 - n + 703. Let t(i) = w(i) - 3*x(i). Find the second derivative of t(m) wrt m.\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35723\/63 + -567. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (6 - 1) + 0. Let o be 18\/4 + (-2)\/k. Let c(u) = -4*u**3 + 3*u**2 + 3*u + 2. Let p(a) = 5*a**3 - 4*a**2 - 4*a - 3. Determine o*c(f) + 3*p(f).\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 2*z**2 + 2*z**2)*((1 - 1 + 2*z**2)*(z - 2*z + 0*z) + 5*z**3 - 11*z**2 + 11*z**2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -3*f**5\/20 + 2*f**2. Let o be 2\/14 - 34\/(-7). Let c(j) = -3*j - 2*j + o*j - 4*j - 2*j. Determine v(c(l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 54*f**2 + f - 171. Is h(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssdesppppppspspxs. Give prob of sequence sps.\nAnswer: 224\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508557 is divided by 815?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -5*a**7\/42 - a**5\/6 + 31*a**2. Find the third derivative of p(u) wrt u.\nAnswer: -600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/75302 and 55\/2392.\nAnswer: 3915704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -19041 + 19073 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206208511 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 212*r + 1516. Give g(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*p - 4130 - 2182, g - 5*p - 3162 = 0. Suppose -22*m + 495 + g = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3 - 1. Let a(x) = -10 + 0*x - 2*x + 10. Calculate n(a(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + a + 3*a**2 - a - 4*a + 0*a + 0*a - 2*a**3 + (0 - 2 + 3)*(a**3 - 3*a**3 + a**3) - 2*a**3 + 4*a**3 - 3*a**3.\nAnswer: -3*a**3 + 3*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*q - 7051, h + 9*q - 4*q = 7042. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-8) - 345\/(-40) and 121\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, l: 3, i: 2, g: 4, o: 1, r: 2}. What is prob of picking 3 g?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16387 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*p - 2*p - 3*p**3 + 2*p**2 + 2 in the form g*p**3 + x + s*p + i*p**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 - 1645 + 1645 - 4*h**2.\nAnswer: -12*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from {a: 6, u: 3, l: 5, k: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2335?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -70*g + 70*g - 14*g**2 + 24*g**2 + 16*g**2. Let t(q) = -11*q**2. Give n(t(v)).\nAnswer: 3146*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269\/4 or 66?\nAnswer: 269\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*r - g + 5, 10 = 5*r - 2*g. Let k = -4 - -15. Let j = -11.1 + k. What is the second smallest value in r, j, -4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529 + 526. Let p(s) = 5*s**3 + 15*s**2 + 3*s + 3. What is p(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27936587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:03 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/15))\/q*q)\/q)\/(q\/(q\/((q**(-27)\/q)\/q*q*q))) assuming q is positive.\nAnswer: q**(403\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0.3. Let o = -60 + 55. Sort 5, c, o.\nAnswer: o, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*n + 60, -416*n - 365*n + 780*n - 3*z + 7 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/(-4))\/(((-27)\/(-2))\/9) and -54\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169 + 746501?\nAnswer: 746343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44686 is divided by 69?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 85*n - 465. Let f be a(36). Solve -3*d - 17 = 4*s + 15, f*d - 3 = 3*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, 1 o, and 1 d when four letters picked without replacement from {d: 2, e: 1, p: 2, i: 9, l: 1, o: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d = 0. Let n = 28 - 28. Solve 5*c - 20 = n, d = -4*o - 3*c - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -355, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(175)*2 - sqrt(175))*3)*-3.\nAnswer: -45*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 + 0*j**2)*(4*j - 1366*j**3 - 567*j**3 + 2*j - 625*j**3).\nAnswer: -2558*j**5 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 18. Calculate w(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 2*h + 4*p, 5*h - 7*h = p + 234. Let c = 16 - h. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682280 is divided by 168209?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {c: 2, k: 1, h: 8, s: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209)*2 + -6*(-1*sqrt(209) + sqrt(209)) + sqrt(209))\/((sqrt(66)\/(sqrt(96) + sqrt(6)) - sqrt(11)) + sqrt(11) + (sqrt(66)\/sqrt(2))\/sqrt(3)) + -2.\nAnswer: -2 + 25*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6 = -2*f. Let s(u) = 24*u - 22*u - 1 - 1. Determine s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.13 + 3.87. Sort o, 1, 0.4, -16 in decreasing order.\nAnswer: o, 1, 0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4338244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/12)\/(10\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 943.4526ml?\nAnswer: 0.9434526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -104 + 96, -6 = -5*t - 4*c. Let z(l) = -10*l + 6. Let m(d) = -9*d + 5. Let q(s) = -7*m(s) + 6*z(s). What is q(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 18*v**2 + 34. Let b be l(-18). Let f = b + -28. Calculate the highest common divisor of f and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 13\/((-910)\/32) and -9\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2.91, -2, 1\/8, -4\/7, 1\/34?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057 (base 8) in base 15?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81313489 is divided by 375?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1004326 rounded to four dps?\nAnswer: 0.1004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 163*l**2 - 80*l - 224. Calculate q(82).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -37*s - 44*s + 4488738. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4902 + -14707\/3. What is the closest to -3\/5 in -1.4, x, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 33*g**2. Let f(o) be the third derivative of o**4\/4 - 32*o**2. Determine f(c(h)).\nAnswer: 198*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 31704\nAnswer: 15852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 22. Let p = 6.3 + j. Which is the closest to 1? (a) -3 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*p = 2343*p + 2152*p - 195090 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 78 + 96 = 0. Suppose 0 = -5*b + 4*z - 6*z - 11, -5*z + 1 = 3*b. Put u, -5, b, 5 in increasing order.\nAnswer: -5, b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18066*w - 282422 - 206588 = 1064666 for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.6602 * -0.05\nAnswer: -0.13301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:34 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304742 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.001 + -53.001. Let i = -23 - x. Let t = i + -24. What is the smallest value in 1\/3, t, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7873\/1270 + -1\/1270. Which is smaller: -7 or q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826, -1539, -2264, -3007, -3774, -4571, -5404?\nAnswer: -6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 p, and 1 k when four letters picked without replacement from {p: 7, k: 1, t: 5}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + 0 + (-78 + 96 - (11 - 24))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/7 - 2670*f**3\/7 - 5349*f**2\/7 - 2676*f\/7.\nAnswer: 3*f*(f - 892)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a + 67. Let d = a + 66. Which is smaller: d or 3\/59?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 3*t + 3*t)*(-225 + 247 + 125).\nAnswer: 294*t + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:39 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 36332?\nAnswer: 290656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 142641 = -142065 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298451195?\nAnswer: 5, 7, 8527177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3 + 8*r + 8 - 2 - 6*r. Suppose p + 6 = -1. Determine z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 5*w**2 - 5. Let g(n) = 15 + 9*n**3 + 20 - 1 - 10 + 24*n**2. Calculate 24*b(u) + 5*g(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 2, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/24 - 2*u**2. Let i be c(1). Let v(w) = w**2 - 2. Let q be v(2). Sort q, i, 3.\nAnswer: i, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415200 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000667363816 rounded to 7 dps?\nAnswer: -0.0006674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, and 1 i when three letters picked without replacement from ilaatttlalffitttlft?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1.6, 5, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635*b**2 - 95*b - 25 + 103*b + 31 wrt b.\nAnswer: -1270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d*d**6))**(1\/2)\/(((d*d*d*(d\/(d*d**(-5)*d))\/d*d*d)\/(d\/d**4))\/((d**5\/d)\/((d\/((d\/d**(-5\/2)*d*d)\/d))\/d))) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and 83\/167686.\nAnswer: 1509174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) + (sqrt(32)\/sqrt(2))\/sqrt(8))**2*5 + 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w + 6. Let h be c(-2). Let y = -1 - -3. Suppose 3*i - 43 = -h*a, 3*i - y*a - 57 = a. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4 + (1 - 4 + 2)*(3 - 4 + 2))*(-7*k**3 + 13*k - 13*k) + 0*k + 3*k - 4*k**3 + 6*k to the form l + y*k + a*k**3 + g*k**2 and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-8))\/((-5)\/40). Let n be 40 - (5*3\/b + 4). Solve 5*y - 60 = -n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3 - 3279*x**2\/2 - 3282*x + 3566. Factor w(l).\nAnswer: 3*(l - 1094)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 1 + (sqrt(175) - sqrt(175)*-3*5) - ((sqrt(175) + 2)*4 + (sqrt(175)*-1 + -4)**2)).\nAnswer: -197 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307 and 3?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -18 - 21840\/(-1260) - (-3 - -1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -4 + -5 - (-2 - (-18 + 10)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53710296971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*k + 1293 - 331 = 203*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222\/(-4)*(-1160)\/60 - 8.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -3 (c) 1 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000649678274 to 6 decimal places.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -12, 780 = 4*b - 4*t + 784 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2778, 5567, 8356, 11145?\n\"Answer: 2789*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + -1 + -5. Let h(u) = -u**2 + 9*u - 6. Let x be h(6). Let v be (x\/(-10))\/(a\/20). What is the greatest common divisor of v and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m**2. Let x(r) = 360*r. Let i(w) = 5*w. Let k(a) = 75*i(a) - x(a). Calculate k(l(t)).\nAnswer: 225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 5*g - 2*l - 162, -80 = -4*g + 2*l. Let m = 63 - g. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:36 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12021453 (base 7) to base 3\nAnswer: -2000001211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {i: 1, s: 10, h: 7}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.3 (b) -2384 (c) 5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*u + 4, -6*n - 5*u - 4 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Calculate the smallest common multiple of 7\/2 + (4\/(-8) - 0) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.93 + 36. Let g = p + -0.17. Let r = g + 0. Which is the nearest to r? (a) 2\/9 (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 322458568933.\nAnswer: 322458568932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, z: 3, d: 5}. What is prob of sequence dzb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(-3 + 10 + 17)*(-51*o + 1770 - 1770) to the form f*o + i and give f.\nAnswer: 2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*u - 39, 3*w - 43 = 2*u - 42 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -6*(4*sqrt(143) - sqrt(143)))*-5)\/(sqrt(11) - sqrt(88)\/(sqrt(40)\/sqrt(5)) - sqrt(66)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6) - sqrt(6))).\nAnswer: -170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14 = -22. Let v be (9 - m)*(1 + (-36)\/(-10)). Suppose 27 = h + v. Which is the nearest to 0? (a) -3\/7 (b) h (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3748 - 177.868\nAnswer: -174.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048238471 rounded to the nearest one million?\nAnswer: -1048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-23)\/(299\/(-195))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/6)*t\/(t\/t**24))\/(t**1*t)**(-8\/5) assuming t is positive.\nAnswer: t**(851\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/63 - 19\/126. Put f, -2\/5, -1 in ascending order.\nAnswer: -1, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 25*v**3 - 56*v - 4. Let c(i) = -21*i**3 + 54*i + 4. Calculate -6*c(n) - 5*p(n).\nAnswer: n**3 - 44*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - b)*(-1994*b**2 + 3171164 - 3171164).\nAnswer: -1994*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 + 75*j + 260. What is h(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 60. Let v(z) be the first derivative of -3 - 1\/2*z**2 - f*z. Differentiate v(c) with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903 - 2834 - (2 - 48)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72.309 and -593109.171.\nAnswer: -593181.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 69*s**5\/5 + s**4\/4 + 4*s**2 - 11864*s + 13525. What is the derivative of d(x) wrt x?\nAnswer: 276*x**3 + 3*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*o**2 + 2\/3*o**3 - 2\/3*o.\nAnswer: 2*o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 2*n + 17*l - 12, -5*n + 2*l = -11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, g: 7, b: 5}. What is prob of picking 1 c and 3 b?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 12. Let t be c(9). Let b(o) = -o - 165 + 28 + 8*o + 65 - 170. Let a be b(35). Solve t*w + 0 = -a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (36\/(-180) - (-136)\/(-45)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1201110 (base 7) to base 8\nAnswer: -450156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.04, 3.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2155285*f*m**4 + 2*f*m - 2*f - 541692*m wrt m?\nAnswer: 25863420*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 4*w + 3*w)*(-350*w**2 - 79*w**2 + 14*w**2) to the form u*w**3 + n + l*w + c*w**2 and give u.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/17, 23, 0.5, -0.1, -0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 5 - 2*o + 4*o)*(149 - 728*o**4 - 149).\nAnswer: -1456*o**5 - 3640*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 412647?\nAnswer: 412670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 2*t + 49. Suppose -w - t = w. Let p = -18 - w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04427276118 take away -19?\nAnswer: 18.95572723882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86904176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-15 - -20) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/2 + -3 + 1. Let y = p - -21. Solve 4*d = 5*b - 21, -2*b - 5*d = -b + y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232\/41 - 5231\/410. What is the common denominator of (-4)\/(-8) - (-122)\/(-22) and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 527*t**2 - 8*t. Let f be w(-3). Suppose 0 = 4*l - b - f, 0*b - 5955 = -5*l + 2*b. Is l 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 PM and 2:01 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/40)\/(2\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -521762*u + 31305716. Calculate s(60).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = 13, -4*f + n = 15. Let j be 1\/(2 + f) - 0. Let r be ((-2)\/(-4) - -1)\/((-207)\/12). Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -397 + 114. Let x = 290 + y. Sort x, -1, 0.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1\/3, 1\/35, 105?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*f**3*x**2 - 3*f**3 - 2*f*x**2 + 91*f*x - 1 wrt f?\nAnswer: -1494*f*x**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 - 67*s + 250. Calculate b(4).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from {g: 3, e: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/13440 and -95\/9408?\nAnswer: 94080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103908071 to the power of 1\/2, to the nearest integer?\nAnswer: 10194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.4404 rounded to 1 dp?\nAnswer: 45.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 392\/22 + 4\/22. Let x be 116\/6 - m\/(-27). What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459 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: Calculate 20 divided by -238.\nAnswer: -10\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706150162 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Suppose -y*l + 2 + 18 = 0. Suppose -l*g + g = -8. Which is the biggest value? (a) -0.1 (b) g (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67231387 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89860?\nAnswer: 2, 5, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25975 divided by -2964\nAnswer: 25975\/2964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.6 + 9.6355. Round j to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:12 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12545152 + -145?\nAnswer: 12545004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424714752 divided by -100548.\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14060 + -24390. Let l = -5175 - v. Is 1\/((-10305)\/l + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15336137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/18 - -229\/144. Calculate the common denominator of 146\/(-10)*(-3)\/(-6) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1221 + 2181. Let v = m + -952. Let j(u) = u**2 - 7*u - 5. What is j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105157 is divided by 177?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1148)\/(-12) + 6\/(-9). Suppose 5*x = -20, 3*m - 86 = -2*x + q. Suppose h - 9 = 4*h, -4*w + h + 91 = 0. What is the remainder when m is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 32, 30, 26, 20, 12, 2?\n\"Answer: -a**2 + 3*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -103. Which is the third biggest value? (a) -3\/8 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 2, 19, 0, -3, 37 in descending order.\nAnswer: 37, 19, 2, 3\/11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y - 8. Let u be s(-4). Sort -3, -2, -7, u in increasing order.\nAnswer: -7, -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964 divided by -491?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-144))\/(-6 - (14368\/(-75))\/32)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 - (1 - 5). Let u(n) = -n**2 + 2 + 0 - 5 + 5*n - n**z - 2*n**2. Give u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**6\/1080 + k**5\/360 - k**4\/36 + 11*k**3\/6 + 3*k. Let u(y) be the second derivative of a(y). Find w such that u(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o**(-10)*o*o**(2\/7)\/((o\/o**(-11)*o)\/o) assuming o is positive.\nAnswer: o**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3998901.9 and 0.5.\nAnswer: 1999450.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*1 + 12\/(-30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*r - 8 = -353*r. Solve 3*z - 2 = r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 145*v**4\/24 + 139*v**3\/6 + 60*v**2. What is the first derivative of y(s) wrt s?\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/360 + w**5\/120 - 5*w**4\/12 + 4*w. Let h(u) be the third derivative of s(u). What is the derivative of h(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z + 5. Let g(s) = s**2 + 7*s - 8. Let b be g(-7). Let o be 5\/z + 4\/b. Solve 1 - o = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 156*k**2 + 1404*k - 1564.\nAnswer: 4*(k - 1)*(k + 17)*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -69.6 (b) -3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*c + 215 = 2*c, 5*n + c = 215. Let j = n + -168. Let f = j + 215. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5452636 and -5452636 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 188 + 284 = 0. Suppose -l - 2*h + d = -h, -l + 4*h + 98 = 0. Suppose b + 3 = l. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 = -7*b - 463 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13993039*k - 13993039*k + 4880*k**2)*(-5 + 4 - 2) to z*k**2 + w + f*k and give z.\nAnswer: -14640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 6*g - 57. Let o(j) = j - 124. Let x(a) = -9*a**2 + 14*a - 485. Let v(c) = 3*o(c) - x(c). Give 11*u(y) + 6*v(y).\nAnswer: -y**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 - i**2 + i + 5. Let k(f) = 5*f**3 - 2*f**2 + f + 6. Let r(d) = 4*c(d) - 3*k(d). Let g be r(-2). Solve -2 = -2*z - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18476541 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 19*d**2 - 37*d - 21. Give a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -68. Let o be ((-1)\/2)\/(w\/(5 - 221)). Sort o, -1, 4.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2. Let a(n) = -6*n - 3. Let l be ((-105)\/(-12))\/(-7)*-2*-2. Let x(g) = 11*g + 5. Let d(j) = l*a(j) - 3*x(j). Calculate u(d(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/259 + 4\/(-28) - 65\/63.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 61 + 24 + 24 + 13.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 - 140. Suppose g - 198 - n = 0. Let i = g + -144. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(-345)\/(-207).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86628 - 86679.011. Let n = y - -51. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f - 3*f + (2*f + 5 - 5)*(-3 + 6 - 2)*(-3 + 6 - 15) to the form m*f + x and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 19, -1\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/7 - 2349*c\/7 - 4710\/7 = 0. Calculate c.\nAnswer: -2, 785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*f + 3627*f**3 - 7259*f**3 + 3630*f**3 + (20*f - 9*f + 4*f)*(-3*f**2 - 2*f**2 + 3*f**2) to g*f + l*f**3 + y + a*f**2 and give g.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11219 + 11224. Let p(m) be the first derivative of 1\/2*m**4 + 0*m**2 + 0*m - 35 - 1\/5*m**d + m**3. Factor p(b).\nAnswer: -b**2*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867557?\nAnswer: 3, 622519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 + 1104*l**2 - 92160*l + 2073600 = 0.\nAnswer: 36, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a75 + -62?\nAnswer: -12027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 57 + 67. Let y = -6.7 - -5. Sort m, -0.2, y in decreasing order.\nAnswer: m, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -2, 19.\nAnswer: -2, -0.5, -0.1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021034 rounded to the nearest 1000?\nAnswer: -1021000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3938, -7981, -12054, -16169, -20338, -24573, -28886?\n\"Answer: -2*i**3 - 3*i**2 - 4020*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 52. Let o = -1 + 5. Solve o*m = -6 - p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84687113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 - -5663101?\nAnswer: 5662656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415.9 + -397. Let b = q - 19. Sort b, 0.5, -0.5.\nAnswer: -0.5, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - 2*h**3 - 6*h + h - 8 as t*h + m*h**2 + i*h**3 + x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 469*b - 2364. Let u be d(5). Solve -5*x = -u*x - 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let y = 560 - 426. Let w(q) = 320*q + 265 - y - 131. Calculate w(d(j)).\nAnswer: 640*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o + 308*o - 194*o - 169*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i + 2. Suppose 0 = 5*m - 4 + 9. Let x be m + 0 + 2 + 1. Let t be q(x). What is the highest common divisor of t and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 25 - -10)*6\/14*-5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38798418.\nAnswer: 2, 3, 19, 340337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70482*r**3 - 3*r**2 - 15147*r wrt r.\nAnswer: -422892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 78. Suppose 4*v - 64 = -4*t, t - i = -3*v - 6. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*6\/27*5\/6*(-261)\/(-145).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152433376 + 0?\nAnswer: 152433376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 903.1987mm?\nAnswer: 0.0009031987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*l = 2*q - 6, 1 = -3*q + l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - z + 403 - 394, -2*z - 2 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 348\/5. What is the smallest value in 3, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 2290418?\nAnswer: -91616720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71276 is divided by 720.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3606*k = -3608*k + 5*v + 158, 0 = 48*k + v - 3792 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14)*((-12)\/7)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yffyfyjyyyww. What is prob of sequence wfyy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232361 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -3*b**5\/40 + b**4\/2 - 4*b**3\/3 - 2*b. Let k(w) be the second derivative of v(w). What is the derivative of k(y) wrt y?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2301\/590 + (-3)\/(-5))\/(18\/(-384)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-18)*(-3 + (-85)\/(-35)). What is the fourth smallest value in 0, y, 20, -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -1096, -2856, -5326, -8500, -12372?\n\"Answer: b**3 - 364*b**2 + 41*b + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 831*v - 833*v = -18, 0 = n + 2*v - 18. Find y such that n + 18*y - 33\/4*y**2 + 3\/4*y**3 = 0.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*l**2*u**3 + 27*l**2 - 9*l*u**5 - 2*u - 37 wrt u?\nAnswer: -294*l**2*u - 180*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 808043991402 + -4\nAnswer: 808043991398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/24 + n**3\/2 + 1659*n**2 + 2. Let t(q) = 4*q + 2. Let k = 4 - 6. Let x be t(k). Give c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 35 = 97. Suppose 3*c + 2*k = 75 + b, k = -2*c + 69. Calculate the highest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 100?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.339367 or 19.5?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3601660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 2 + 1 - 7*o**2 + 4. Give h(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9737343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnxnxx. Give prob of picking 2 x and 1 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1208076363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 76. Let q be g(-20). Let m(y) = -y**3 + 2*y**2 + 15*y + 5. List the prime factors of m(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - 61502?\nAnswer: -61525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1280)\/80*77\/(-88)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 32. Let u be g(-8). What is the second derivative of -17*d**4 + u*d**4 + 34*d + 0*d**4 wrt d?\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84076 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h + h)*(-12 - 6*h + 12) + (2*h + 0*h - 4*h)*(2*h + 2 - 2).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68582 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011011 + 1100101011?\nAnswer: -1001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.747 + -0.2.\nAnswer: 4.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzvvvv. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 6*r - 4*r)*(-21*r**4 + 53*r - 53*r).\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 1. Let l be s(2). Let g(p) = 2*p**2 - 6*p - 6. Let t be g(5). Suppose -3 + 8 = i. Solve 2*n - t = 2*w, 0*n + i*w + l = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-5)\/(50\/(-95))*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.700442 and 0.0916?\nAnswer: 0.608842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -1\/4*o**5 + 0*o**2 + 0*o**3 - 18*o + 2 + 5*o**4. Suppose u(k) = 0. What is k?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -367 or -242237\/659?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b, -b - 2*b = 4*z - 83. Suppose z = -h + 88. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 3*s + 21*s**2 + 5*s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*s - 5*v - 27 = -1773*s, -8*s - 4*v + 124 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 536073502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 - -15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 4 = -12*u. Suppose -2*j - 6 = -u*j. Solve -3 = 3*s + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**3\/2 + 2*x. Let u(d) be the second derivative of 0*d**2 - 4\/3*d**3 - 1 + 11*d. Determine h(u(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**8\/588 + 22*h**7\/735 + 13*h**6\/105 + 2*h**5\/105 - 25*h**4\/42 - 26*h**3\/21 - 220*h**2. Solve v(r) = 0 for r.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87324 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17875.95 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 - 4*z + 3. Let m(r) = r**3 - r**2 - 5*r + 4. Let p(g) = 2*m(g) - 3*v(g). Give p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40305943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t = -24*t + 2*v - 7906, -5*t + 9895 = 5*v. Calculate the remainder when t is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 0.3, 3, 7\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bymbbtbvyt. Give prob of picking 1 t, 1 b, and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -796.12115 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 280*q - 47 + 55 - 16. What are the prime factors of o(7)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 25 = 5*g. Let u(j) = j**3 - 4*j**2 + 1. Let f be u(4). Which is the nearest to f? (a) g (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 279?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60302 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(102*m**3 - 17*m**3 + 21*m**3) - 3*m**3 - 1 + m**3 + 2.\nAnswer: -108*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56777304 to the nearest integer?\nAnswer: 7535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-28)*(-2530)\/(-253).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -19443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g + 10. Let i be r(-5). Let j = 883 - i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-76)\/((-8)\/(-4)))\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/15 + 6*y**2\/5 + 2*y\/15 - 6\/5.\nAnswer: -2*(y - 9)*(y - 1)*(y + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173 - -160?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 7*d - 19*d - 8 + (1 - 4 + 4)*(d - 3 + 3) to the form m + z*d and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 1\/2*g**3 + 1\/1080*g**6 + 1\/36*g**4 + 0*g + 0 + 2*g**2 - 1\/120*g**5. Let q(y) be the first derivative of a(y). Factor q(n).\nAnswer: (n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-442\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 15. Let m = -13 - -15. Let r(n) = n**3 + 28*n**2 - 58*n + 62. Let s be r(-30). Let l(d) = -2*d**2 + 11*d**2 - 4*d**s - 4*d**m. Calculate y(l(z)).\nAnswer: z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12683412*v**3 - 9081680*v**2.\nAnswer: 76100472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 9. Let y be j(5). Suppose 0 = -y*q + 26 + 6. What is the highest common factor of 72 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 85 = 13*z. What is the remainder when z is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2896.004381 + 2896. What is z rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 867 and 2023.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 63 = f - 726, 5*b - 3*f = 1329. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -782796 by 195699.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.095557 years to months.\nAnswer: 49.146684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112194400 rounded to the nearest 1000000?\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 10\/(-20) + 10\/4 + -11. Put 5, 1, f, -13 in descending order.\nAnswer: 5, 1, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 1. Let v(c) = -c + 8. Let z be v(6). Let x be r(z). Solve 0*s = -s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114510 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -242003162 + -11?\nAnswer: -242003173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2 + 5)*2.\nAnswer: 10 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2823\/4 - -706. Which is the closest to q? (a) 0.3 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208 + -160304479\nAnswer: -160304271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a factor of 4002973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:50 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + z - 5*x - 30, 4*z + 3*x - 45 = 0. Let j = -2 + 3. What is the highest common divisor of z and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/154828711 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2962211031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115 = 37*p - 1802 - 191. What is the greatest common factor of p and 1974?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.63 and -45?\nAnswer: 28.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*40\/24)\/(2\/138) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88213114, -88213117, -88213120, -88213123, -88213126?\nAnswer: -88213129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 8:47 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 4. Let u be t(2). Suppose u = -3*l + 6*l. Suppose 4*v - 19 = 5*d, -2 = -v + 2*d + l. Solve -5*k - v = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*x**6 + 829*x**5 - 1653*x**2 - 2*x - 6 wrt x?\nAnswer: -2280*x**3 + 49740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 558 - 558. Suppose h = -6*l + 52 + 38. Calculate the remainder when 209 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:44 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4544 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, 1, -23 in decreasing order.\nAnswer: 19, 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 56*z**2 - 55*z - 109. Let s be x(57). Solve -8*p + s*c + 12 = -7*p, 3*p - 3*c - 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506 divided by -22\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.135 - -0.282. Let o = l + -0.047. Let t = -0.2 - -0.2. What is the smallest value in t, 0.4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346706.331 rounded to the nearest 10000?\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -3326247\nAnswer: 36588717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybwyoxxb. What is prob of sequence ow?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 101, 2, 5, 4 in increasing order.\nAnswer: -5, 1, 2, 4, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 10:20 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*j + 23, 25 = 4*c - 2*j + 5*j. Let v(a) = -a**3 + 5*a**2 - 3*a + 2. What is the units digit of v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(36)\/sqrt(3)*-2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15910 by -1591.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/15 + z**2. Let k(b) be the second derivative of 0*b**3 + 1\/12*b**4 + 0*b**2 + 0 + 3*b. Calculate k(j(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 822, 2871, 6862, 13443, 23262, 36967?\n\"Answer: 108*t**3 - t**2 + 2*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = 0. Let g be (10\/65)\/(1 - j). What is the nearest to 3 in 3, -1\/4, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240*2.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -22, -41, -66, -97, -134?\n\"Answer: -3*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 36 = -4*s, 2*s + 4180 = -2*c + 4204 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 5*n - 9. Suppose 55 = -5*s + 5*v, -s + 5*v = -4*s + 7. Let h be c(s). Suppose -f = -h - 28. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 51. Let h = 29 - o. Let b be (4\/5)\/((-3)\/(-15)). Solve -2*r - 2*r - n = h, b*n = r - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44529*a**3 - 5*a**2 - 138*a + 137057649 wrt a.\nAnswer: -133587*a**2 - 10*a - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 5179800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b - 4. Suppose 0*m - 4*m + 14 = -5*v, -v - 14 = 2*m. Let l = 12 + v. What is the units digit of q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -27. Suppose -7 = z - 3*q, 3*z = -q + 6 + 3. Suppose 12*o + z*o = 42. Calculate the smallest common multiple of o and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*u**3 + 3 - 7 - 21*u**3 + 0 + 2 in the form s*u + l*u**3 + x*u**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 20. Let j = a - -16.15. Let i = -6.15 + j. Are i and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -732 - -750. Suppose 11*i - 3*i - 1152 = 0. Calculate the highest common divisor of i and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044401927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(0*c**5 + 3*c**5 - 2*c**5).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -25 - (1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + d - 3*d + 0*d as q*d + o and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) - (-714)\/187. Suppose 5*a + 14 = 3*s - 0, -p*s + 7 = 5*a. Suppose 0 = -s*r + r + 24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9935091 (base 10) to base 6.\nAnswer: -552535443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -28 (b) -3 (c) -3\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-14) - (-400)\/28) + 0. Let t(s) = 7*s - 14. Let n(k) = -1. Calculate l*n(h) - t(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13*376\/3055*(5*-27)\/(-3)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13135?\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 402*g - 5 - 391*g wrt g?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - 29*p - 20. Is 15 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4325, 34672, 117055, 277490, 541993, 936580?\nAnswer: 1487267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qff when three letters picked without replacement from {f: 4, q: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*p = -425*p - 357825. List the prime factors of p.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 1:08 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 - -620. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/123657 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145673 + 8239 = -255*j - 1058*j - 1019*j for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 12*g + 5. Let z be i(12). Suppose 0 = z*f - 3*p - 12, 3*f - p = 1 + 3. Suppose f = 6*l - 159 - 261. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6044 - -4124?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16203 and -47\/42.\nAnswer: 226842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 399*y + 10425. Calculate the remainder when 7698 is divided by p(-26).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2817.\nAnswer: -11268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:14 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:57 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let v be a(-1). Let n = 2 + v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33515200511 - 2?\nAnswer: -33515200513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/2 - 3 - 156\/5712*756.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2, 2*v - 339 = -5*d + 12. Let f(y) = -6*y - 2*y - d - 2*y + 69. Let p(i) = -i - 1. What is -f(j) + 4*p(j)?\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 24*t - 21. Let i be f(25). Let o = 2\/781 + -1604\/16401. What is the biggest value in o, 3, i, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.32128 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.426886 micrometers to kilometers.\nAnswer: 0.000000004426886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1393913 - -920350.\nAnswer: -473563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7573 plus -4.029212337?\nAnswer: 7568.970787663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)\/(68\/8 + -8). What is the remainder when 2\/u + (-21)\/27*-147 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 * 67.1.\nAnswer: -208.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1 + (-5 - -3). Suppose -z*j = 2*j - 20. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 24. Let r be p(-10). Suppose -r*o + 79 = j, 3*o = 3*j - 408 + 156. List the prime factors of j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3 + 8 + 20*h**3 - 5*h**3 wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26528 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(108) + 2 + sqrt(18)\/(sqrt(6) + sqrt(150)*3).\nAnswer: -287*sqrt(3)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {n: 1, z: 5, j: 1, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 8*p - 10*p - 3*p**2 + 4*p**2.\nAnswer: p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87735413 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4713328 by -4.\nAnswer: 1178332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 - r**3\/6 - 4*r. Let q be b(-1). Suppose 0 = -2*o - 10, -u + o + 164 = q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:25 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 + 110*t**3 - 1005*t**2 - 22910*t + 23800 = 0. Calculate t.\nAnswer: -20, -17, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 42 = -2*m. Let w be m\/7 + 12*1. Find the common denominator of 4\/w - (-29)\/(-126) and -7\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715 divided by 3?\nAnswer: 3715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/20)*l**3)\/((l*(l*l*l*l**(-5\/4))\/l)\/l)**(-46))**(2\/63) assuming l is positive.\nAnswer: l**(83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6791371, -27165533, -61122485, -108662227, -169784759, -244490081?\nAnswer: -332778193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2\/15, 1, -1, -0.0839?\nAnswer: -0.0839","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 7899.8?\nAnswer: 789.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4 + 4 + 1)*(-13 - 3 + 1).\nAnswer: -90*h - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1768, 1822, 1876, 1930, 1984?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/16*8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 171163.34176+-23\nAnswer: 171140.34176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)*z)**(12\/7)*z\/(z**6\/z)*z\/(z\/(z*z**6)) assuming z is positive.\nAnswer: z**(93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 76, 82, 72, 40, -20, -114, -248?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -11. Let s be (i\/(-6) + 3)*9. Find the third derivative of 0*x**2 + x**2 - 3*x**2 + 2*x**s + 0*x**6 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 626999150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Suppose 45 = 7*l - 2*l + 5*j, z*j - 14 = -l. Let p be -4*(-3)\/6 + -1. Sort 3, p, l in decreasing order.\nAnswer: l, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-12) - 55263\/(-17004)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3\/3 - 7*p**2\/2 - 8*p + 1. Let y be k(-6). Let s = 1 - 1. Does y = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 4.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 42 - 46 - 2*o + 3*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -471, -2, 3 in decreasing order.\nAnswer: 3, -2, -5, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 2. Let z = -16 + m. What is the closest to z in 5, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-7 + (-891)\/(-126)). Which is the closest to 2\/3? (a) -1\/2 (b) -0.1 (c) u (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 2*o + 0*o. Let b(w) = w**3 - 4*w**2 - 5*w + 3. Let s be b(5). Let r(p) = 5*p - 3*p - s*p + 3*p. Give r(x(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1241 + -5?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 140 - 6*b - 2*b + 431 - 139.\nAnswer: -8*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12024548.\nAnswer: 2, 839, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 157 in increasing order.\nAnswer: -2, 0, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(28)\/sqrt(4))**2 + sqrt(175)*4 - (-4 + (5 + (sqrt(21)\/sqrt(3))**2 - sqrt(7) - (sqrt(112) + 3 - sqrt(7))))).\nAnswer: -48*sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (100\/(-15))\/((-2)\/24). Suppose -5*q + y = -q. What is the least common multiple of q and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 232\/3. What is the nearest to r in -0.3, 1\/4, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from yyydyyyyyyyyyydyyyyy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 5*o - 31, 0 = 5*r + 5*o - 90. Suppose 20*x - 17*x = r. Solve m = -x*d - 19, m = d - 0 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/20 - 3\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*27486484.\nAnswer: -109945936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15007, -15015, -15029, -15049, -15075, -15107, -15145?\n\"Answer: -3*l**2 + l - 15005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 20*j**2 + 18*j + 21. Let q be r(19). Solve -3*g - q*g + 35 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 7\/3)*(-84)\/(-10). Let l = d + 30. Let m(i) = 3 - 4*i + 3*i**2 - 3*i - 7*i**l + 3*i**2. Give m(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 943*v + 6211 + 2204 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/2 (b) -5 (c) -2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Let a(n) = -1 + 1 - 6*n + y*n. Suppose d - 3 = -0*d. Calculate a(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5070, -21087, -47950, -85797, -134766, -194995?\nAnswer: -266622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 972*q - 977. Let x(t) = 8*t**2 - 976*t + 978. Let f(w) = 2*c(w) + 3*x(w). Factor f(k).\nAnswer: 4*(k - 245)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Let l(o) = 2*o. What is -4*h(f) - 9*l(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -0*t. Let k be -28 + 6 + (-1 - t). Let c = 70\/3 + k. Sort 3\/2, 1, c in decreasing order.\nAnswer: 3\/2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 5. Let k(j) = -604*j + 42. Give 5*i(f) - k(f).\nAnswer: 594*f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 + 4*d**2)*(0 - 1 - 1) + 305 - 157 + 9069*d**2 - 148.\nAnswer: 9063*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85515713 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 589033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3389\/5 or 678?\nAnswer: 678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 39*i**2 - 3*i - 3. Let k be m(-2). Suppose 0 = -2*j + k + 5. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38900 divided by 13\nAnswer: 38900\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*1*-4)\/(sqrt(500) + sqrt(500)*3).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9, 0 = 4*l - 5*l + 3*w + 56. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, k: 6, i: 2}. What is prob of picking 4 k?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 3, k: 4, m: 4, p: 2, u: 3}. Give prob of sequence kup.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - 45*i**2 + 5 + 33*i**2.\nAnswer: 9*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14084 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p + 3*p. Suppose v - 46 + p = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969334 is divided by 1281.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 1. Let r = 9 - i. Sort r, 1, -1 in increasing order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.99 + 3.19. Which is smaller: 61 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*h + 4547 - 480 + 22199 = 0 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*h + 1317 - 5659 = 6*h + 2183 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(33)*1*-6)\/((sqrt(192) + sqrt(12))\/sqrt(4))*-3)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -739*r**8\/42 + 3983*r**4\/12 - 42*r**2 - 3*r + 5. Find the second derivative of t(v) wrt v.\nAnswer: -118240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7631 and 2348.\nAnswer: 17917588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffua when four letters picked without replacement from mufummmfmfmfma?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 47, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-1 + 3)) + (47 - 44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 348 and 261?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, r: 1, s: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 7, 0.2 in descending order.\nAnswer: 21, 7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 3. Let j(k) = 21*k - 16. Let p(i) = -4*j(i) + 22*r(i). Let n be p(-3). Let l = n - -20. Solve -b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.868, -2\/11, -60 in ascending order.\nAnswer: -60, -11.868, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-16) - -2) + (-1364)\/(-8928) + 14413\/261.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263555714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-10)\/4. Suppose 6 = -9*y + 24. Suppose q*g + 4*v = 26, 3 = -y*v - v. Solve g*u = 5*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*v - 10, -4*v - 4*s + 12 + 12 = 0. Suppose -v*p + 190 = 3*p. Let h be 2\/(-2) + 3 + p. Calculate the highest common divisor of 100 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 7.01. Let k = -10 - -6. Let w = k - u. What is the biggest value in -1\/3, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -89, -388, -851, -1478?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + 89. Suppose 4*v = 3*o + 180, 3*o - 148 = -3*v + 2*o. Let g = n - v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 23*s**3 - 17*s**2 + 17*s - 6. Let n(q) = -4*q**3 + 3*q**2 - 3*q + 1. Let x(v) = -34*n(v) - 6*y(v). What is the remainder when x(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 8\/844112737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kah when three letters picked without replacement from kkbaaaahhbb?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*((4 - 2 - 3)*(-2*d + 6*d - 3*d) - 6*d + 4*d + d) + (8 + 0 - 4)*(-2*d + 2 - 2).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 597442, 597444, 597446?\n\"Answer: 2*r + 597440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16\/(-300)*15\/(-18)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/4 + 50*l**3\/3 + 1669*l**2\/2 + 4*l + 158. Differentiate d(p) with respect to p.\nAnswer: 6*p + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(0 + 51\/2). Suppose 8*v - 7 = x. Solve 2 = 2*w, v*n + 3*w + 2*w + 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -0.19, -11, -1\/5, 85, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4502 by 6.\nAnswer: -2251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - g - 4. Let c = -4 + 4. Let n be l(c). Let r(s) = -s**3 - 4*s**2 - 2*s + 2. Is 5 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 11*k**6\/180 + k**5\/24 - k**4\/12 - 5*k**3\/6 - k. Let q(x) be the second derivative of a(x). Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15650294.6 to the nearest 10000.\nAnswer: 15650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9557355 and 0.3?\nAnswer: 9557355.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86152397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -g + n = -1, c*n = 5*n + 4. Let s be (0 + (-5)\/(-5))*-2. Sort -4, s, g in increasing order.\nAnswer: -4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0, 0.4, -8\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 15232*m - 60944.\nAnswer: (m - 4)*(m + 15236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 10*n + 15. Which is the biggest value? (a) n (b) 5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 126 = 3*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/4*-16*4\/(-64)*4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let f(a) = 22826*a**2. What is z(f(u))?\nAnswer: 22826*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d. Let b(h) be the second derivative of h**5\/20 - h**4\/2 + h**3\/6 - 5*h**2\/2 - 3*h. Let r be b(6). Calculate q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421 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: -66 * 1.3\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -8, -34, -72, -122, -184?\n\"Answer: -6*w**2 + 4*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3 (c) -5 (d) 659\/9 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.91 + 1.31. What is the fourth biggest value in 1\/5, f, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 16) in base 9?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -985.473 + 986. Let g = 0.013 + w. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3902, -9981, -18218, -28613, -41166, -55877?\nAnswer: -72746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1004 + -959. Solve -y*n + 48*n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*p + 12 = -p, a - 19 = 4*p. Let x = -0.5046 - -0.2046. What is the third smallest value in -4, x, a, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, q: 3, d: 5}. What is prob of picking 1 d and 2 q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 - 5*s - 5. Let u(m) = -7*m - 18*m**2 + 4*m - 4 + 14*m**2 + 1. Suppose 3*v - 36 = -3*p, 5*p - 44 - 6 = -4*v. Calculate v*u(a) - 6*y(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/456092 and -93\/228046.\nAnswer: 456092","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -9*a**8\/8 + a**5\/10 + 9*a**4\/4 - 5*a**2\/2 - 496*a. Find the third derivative of d(f) wrt f.\nAnswer: -7560*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2\/3, 19, -1 in ascending order.\nAnswer: -1, -2\/3, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2019454, 2019398, 2019342, 2019286, 2019230?\n\"Answer: -56*b + 2019510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 35. Suppose 17 + 21 = b*u. Let o = 21 - u. Calculate the lowest common multiple of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - (-15)\/((-75750)\/55510). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -112\/967, -1\/3, 5, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-55)\/(330\/144) - -15 - -14. Let q = -6 - -4. Let u be -1*q*(-2 + 1). Sort u, 0, h, 7.\nAnswer: u, 0, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-32)\/8*18\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 12*g - 3 + 12*g + 1 - 2*g**2. Is 15 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291 plus -0.1179505603?\nAnswer: 0.1730494397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (37 - 23) - -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, -0.3, -0.1, -1\/5 in decreasing order.\nAnswer: 317, -0.1, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 254680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 13, p: 5}. What is prob of sequence pp?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m + 0*m**5 - 3*m**2 + 0 - 1\/24*m**6 + 0*m**3 - 5\/24*m**4. Find the second derivative of i(c) wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8432 + 732777*b + 11982 - 732779*b as a*b + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 38*f**2 + 170*f - 567. Give g(-32).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 - 16) - 8 - -52?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045 + 0.645. Let a = -4.6 - -5. Let d = a + t. Is -0.1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5796\/20)\/((-4)\/(-80)). Let j = c - 3811. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.216 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c81c (base 13) to base 11.\nAnswer: -39334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 6\/17 (c) 290100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -0.06, -0.04, -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 609514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -7*n - 2*n. Suppose 21*x = n*x. Solve x = w - 1 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208002013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -57*h**3 - h**2 - h + 4. Let z be i(-2). Let n = z + -455. Let x = 3 - 1. Solve n*j + 5 = x*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759368*q**2 + 492893*q**2 + 132238*q**2 + 708266*q**2.\nAnswer: 2092765*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01675 and 0.2?\nAnswer: 0.00335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 5, z: 4, r: 10, u: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/100 - 44*y**4\/5 + 527*y**3\/30 - 2008*y. Determine p, given that x(p) = 0.\nAnswer: 0, 1, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13310322 (base 4) in base 6?\nAnswer: -404230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67908*w + 67907*w = -7. Let b be ((-6 - -2) + 1)\/1. Put w, b, 8 in ascending order.\nAnswer: b, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/39)))\/v**(1\/4)*v**36*v**26)**(-13\/5) assuming v is positive.\nAnswer: v**(-9629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 15. Let i be x(-6). Let d(p) = 3*p - 307*p**3 + 4 + 22*p**3 + 1 + 2*p**2 + i*p**3. Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-6)\/(-440)) + (-1422)\/6399.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6557*f*w**3 + f*w**2 - 400*f*w + 65*f - 3*w**3 - 89*w**2 + 139*w - 2 wrt w.\nAnswer: 39342*f*w + 2*f - 18*w - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 940 and 705.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -238, 183, 1018, 2405, 4482, 7387, 11258?\nAnswer: 16233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3*p**2\/2 + p - 1. Let h be w(-1). Suppose -1 = -h*b + 15. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 21 + 4 = 5*f, 4*h = 2*f + 2. Let -3*x - 5*x**3 + 19*x - x**h + 6*x**3 - 20 - 2*x**3 = 0. What is x?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let w(o) = 89 - 89 + p*o**2. Let z(k) = 4*k. What is w(z(s))?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(-3 - f**2 + 3) + (-10*f - 6*f + 5*f)*(f - f**2 - f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 31 - 25 = 0. Which is greater: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3087)\/sqrt(9)*5.\nAnswer: 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/4 + 5*w. Let t(v) be the first derivative of v**2 - 2. What is o(t(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -786 - -786. Let p(f) = -f**3 + f**2 - f - 3. What is p(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3\/194, -2\/17, 0.2, -32 in increasing order.\nAnswer: -32, -2, -2\/17, -3\/194, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7568614 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 - (1 - 0)). Let q(a) be the first derivative of a**2 - a - 91. Let d(m) = 1. Calculate t*q(o) - 2*d(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21145 (base 6) to base 3.\nAnswer: 10221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) 0.0148006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-2)*64\/112. Suppose t*k - 20 = -2*k. Let q(x) = x**2 - 4*x + 3. What is the remainder when q(k) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/3 (b) -1\/4 (c) 8 (d) 243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 3*v + r + 9*r, 293*r + 67 = -4*v + 290*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -2.4. Let z be 63\/2*(-4 - -2). Let f be (-18)\/z - 1\/(-7). What is the closest to -1 in u, 2\/9, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 68332.8kg?\nAnswer: 68332800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 2*g + 2*g - 251 + 505389*g**2 - 505396*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 66 = 4*m. Suppose 9*j = m + 5. Suppose -4*a + 988 = 4*n, 0 = -n - j*a + 6*a + 255. List the prime factors of n.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123662 divided by -61831?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198533350?\nAnswer: 2, 5, 881, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102002010012 (base 3) in base 11?\nAnswer: 139914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/7)\/((-144)\/(-108)))\/(3\/(-168)*2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003320464 a multiple of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4375403 (base 9) to base 14\nAnswer: 45361c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*10\/75)\/((-1)\/(-3)). Suppose 6 = 4*a - l. Find d such that -6*d**3 + 5*d**3 - d**3 + a*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -42990.\nAnswer: -23\/42990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.177 and 1?\nAnswer: 17.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151023?\nAnswer: 3, 50341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52386361 is divided by 65812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 1. Suppose 30 = -18*n + 23*n. Suppose 0 = -2*t + t + n. Give y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2767262569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p + 55. Let q(x) = 7*x + 28. Determine -11*q(m) + 6*z(m).\nAnswer: m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2303542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - 2*t**5 + 3*t**5 - t + 10*t**5 - 5*t**5 + 4*t**4 - 2*t**4 + (-4*t + 4*t - 7*t)*(-2*t**3 - 14*t**4 + 2*t**3).\nAnswer: 101*t**5 + 2*t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -4, -2\/9, -7 in increasing order.\nAnswer: -7, -4, -2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -5)\/(3\/2). Let y be (-15 - -2)*((-67)\/13 + 5). Let m = -112 - -112. Solve -y = x*c + 2*s, 5*c - 4*s = -m*c + 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*d - 144 = 0, 8*d = 3*d - 10. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*b = -151*b + 3*h - 6, 0 = -5*b + 26*h - 52 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2069 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 10. Let w = -9 + 3. What are the prime factors of r(w)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 4. Let r(i) = -i + 1. Determine q(z) + 2*r(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 7*y - 5. Let z = -51 + 87. Let n be 3*3*(-16)\/z. Give a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*h - 22871*r + 22870*r, -6*h + r + 17 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*f - 9*f - 4*f)*((3 - 4 + 3)*(-1 + 0 + 0) + 1 + 1 - 3 + 5 - 1 - 3).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3\/2 - 55*m**2\/2 - 100*m - 70 = 0.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12841, -4, 0, 3, 4, 10 in descending order.\nAnswer: 10, 4, 3, 0, -4, -12841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 0 + (-117 - -107 - 5) - 47\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a048 + 2?\nAnswer: 18a04a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/695 and 61\/611810.\nAnswer: 85041590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 4) + (-20 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 2. Let d(h) be the first derivative of -h**4\/4 + 2*h**3 + 9*h**2\/2 + 8*h + 9. Is d(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2054, -6020, -11892, -19670?\nAnswer: -29354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u + 5*m + 16, 0 = 3*u + m - 12. Suppose -2 = v - u. Is -12 - -23 - 4\/v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 112.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) 5 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r + 10. Determine t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1186475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186*j - 31*j**2 + 93*j + 92*j - j**2 + 4*j**2 - j**2 + (0 + 4 - 5)*(-12*j**2 - 7 + 7) to the form g*j + s + b*j**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = h + 8*h. What is the remainder when 83 is divided by h\/5 - 2\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075074673 to four decimal places.\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(30)\/(sqrt(5)*2) + -2*sqrt(150))\/(sqrt(10)\/(sqrt(405) + (sqrt(405)*1 - sqrt(405)) + sqrt(405) - sqrt(405))).\nAnswer: -4275*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 1 - (-155 + (339 - 176))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y + 4 - 17 + 13. Let w(f) = -3*f**2. Determine q(w(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 + -341. Let k(q) = -q**3 - 14*q**2 - 2*q - 30. What is k(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 638 - -19?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**4*z**2 + 30789*g**2*z**2 + 13889740*z**2 wrt g?\nAnswer: -20*g**3*z**2 + 61578*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*z**3)*(5*z - z + 0*z) - 3*z**2 - 3*z**4 + 3*z**2 to a + k*z + d*z**3 + v*z**2 + l*z**4 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*m**4 + 347858*m**3 - 26350427*m?\nAnswer: 396*m**2 + 2087148*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278101064?\nAnswer: 2, 19, 14987507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17871, 35739, 53607, 71475, 89343?\nAnswer: 107211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.167 + -14.967. Let w = -15 - c. Let j = 13\/3 - 149\/33. Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 20, j + 5*q = 92 + 10. Let l = j + -50. Solve -5*i - l = -2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.51 in -0.49, 15, 619?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4192*i**5 + 3*i**3 + 571*i**2 + 19815269*i?\nAnswer: -83840*i**3 + 18*i + 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 24*c - 143. What is the tens digit of t(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187540783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o**3)*(-2 + 2 + o)*(-o - 2*o + 5*o).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29803022 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 8)*(v**5 - 12*v**3 - 7*v**3 + 3*v**3 - 2*v).\nAnswer: 9*v**5 - 144*v**3 - 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 9868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/120 + h**5\/12 - 5*h**4\/24 + 3*h**3\/2 - 119*h**2. Let d be u(4). Solve 0 = 3*o + d*c, c = o + 3*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2, -6, 0 in decreasing order.\nAnswer: 20, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 17 - 49)*(-2*o**5 + 5 + 4*o**5 - 2).\nAnswer: -158*o**5 - 237","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -426452, -426448, -426442, -426434, -426424, -426412, -426398?\n\"Answer: v**2 + v - 426454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 0.2, 0.4, -5 in increasing order.\nAnswer: -5, 0.2, 0.4, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16095006.\nAnswer: 2, 3, 894167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.81 - -5.59. Let h = -0.4 + q. Let t = h - 9. What is the second smallest value in 1, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1008, 1012, 1028, 1056, 1096, 1148, 1212?\n\"Answer: 6*z**2 - 14*z + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 36 = -l, -5*l - 2*f + 140 = -40. Let h = 46 - l. Suppose -8*g = -h*g + 8400000. Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232411777?\nAnswer: 7, 61, 101, 241, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -0.036. Let n = r - -0.296. Let a = n - 0.2866. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 760 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:18 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-9849)\/3269) + 7?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4774*n - 4779*n - 89 + 92.\nAnswer: -5*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25492136 divided by -6\nAnswer: -12746068\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/(-1)*(-52)\/156?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.062 - 1.06198649. What is l rounded to 7 decimal places?\nAnswer: 0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -120*b + 30. Let v be j(-9). Suppose 5*w - 640 = v. What is w rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.19, -0.55, -2\/7?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -151827 (b) 0.02 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 73*u**2 + 45*u - 91. Let h be x(2). Find the second derivative of -s**4 - 3*s + 7*s + 3*s**4 + h + s**4 - 296 + 40*s**2 wrt s.\nAnswer: 36*s**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/55 + 49*v**4\/66 - 262*v**3\/33 + 119*v**2\/11 - 801*v. Suppose t(a) = 0. What is a?\nAnswer: 1\/2, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 64. Determine x(-19).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-57) + 1\/((-6)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5 - 42*d - d**3 + 42*d. Let z(r) = -335 + 81 + 80 + 86 + 84. Determine 4*i(w) + 5*z(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 30 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/34511 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -27053 + 27053 + 5013*u as l*u + r and give l.\nAnswer: 5013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 128 = v + 4*w, -3*w = 5*v - 162. Let s = v - 20. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 318\/1265 in descending order.\nAnswer: 16, 318\/1265, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -5 (c) 154 (d) 2\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in 0, 20, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5997 (b) -1 (c) -125 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154908079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 121369 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 5*y**2 + 8. Let b(u) be the third derivative of -u**5\/60 + 2709*u**2. Calculate 5*b(g) - l(g).\nAnswer: 4*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8512452 nanometers?\nAnswer: 0.00000008512452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 1*(0 - 7). Suppose q*d = 3*d - 8. Let r(i) = 2*i**3 - 4*i**2 - i - 2. Let k(l) = 5*l**3 - 9*l**2 - 2*l - 4. Let b(h) = 3*k(h) - 7*r(h). Give b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126966?\nAnswer: 2, 3, 7, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24556548641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*13 + -1 + 2. Let z = -42 + l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b - 125. Let d be (2 - ((2 - -5) + -2)) + b. Solve 0 = -5*g + 4*i - 23, 3*g = -g + 5*i - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2\/(-168))\/(2\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673692 is divided by 1714?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 869 + -389. Let u = 542 - b. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/42 + 4*f**3\/21 + 3*f**2\/7 - 2*f - 10. Factor w(s).\nAnswer: 2*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-2))\/(6\/(-8)). Let w = o + 0. Let z be (-59450)\/7134*(-3)\/(-5). Sort -1, z, w, -4 in descending order.\nAnswer: -1, -4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 72*y - 17. What is the hundreds digit of z(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let h(v) = -5*v + 2. Let r(y) = -y + 1. Let j(x) = h(x) - 2*r(x). Calculate z(j(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 334 + 14 = 0. Let p = 32 + m. Solve z - p*c + 5 = 6*z, -z + 2*c = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003714775 rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 770?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14363*r**2 + 18954 wrt r.\nAnswer: 28726*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2410.4 * -0.10144.\nAnswer: -244.510976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t - 1. Suppose a + 15 = -3*w - 14, -4*w - 12 = -4*a. Let k be ((-4)\/w)\/((-1)\/(-2)). Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwnnwwmaawnw. What is prob of picking 2 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - n + n + (0*n**3 - n**3 + 4*n**3)*(2 + 3 - 2) + (1 - 1 + 2*n)*(2*n**2 + 1 - 1).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/63 and 44\/54177?\nAnswer: 1137717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6284.3155 - -6283. Round s to two dps.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u**4 + 0*u**4 + 0*u**4)*(-2 + 2 + 1) + u**4 + 2*u**4 - 2*u**4 + 2*u**4 - 3*u**3 + 3*u**3)*(36*u + 57*u - 16*u).\nAnswer: 385*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = 5*o, 0*a - 6 = -2*a + 5*o. Let k be a\/4 - (-21)\/(-6). Let h be 1\/k + (-2)\/(-8). Which is greater: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 - (7 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 926 - 17*r + 928.\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220, 218, 216, 214, 212, 210?\n\"Answer: -2*q + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose 3*c - 18 = -b*c. Suppose -138 - 150 = -c*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let n(u) = -39*u + 10*u - 85*u. Let w(z) = z. Let y = -1223 + 1222. Let d(i) = y*n(i) - 95*w(i). Determine d(q(m)).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:28 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.044 + -0.344. Let v be (8\/204)\/(2\/(-6)). What is the nearest to -0.2 in 0, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2471 + -0.2471. Which is the fourth smallest value? (a) r (b) 2\/7 (c) 0 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 893533536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.954082 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 24*b**2 + 945*b + 7455. Determine c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 4*k - 3*k + 10*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33161617 to the power of 1\/2, to the nearest integer?\nAnswer: 5759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1920, -6253, -15388, -31725, -57664, -95605, -147948?\nAnswer: -217093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.4077.\nAnswer: 0.12231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) + -1 - sqrt(153))*-3)**2 + (5*(-4 + (sqrt(17) - (sqrt(153) + sqrt(17))))*2)**2.\nAnswer: 2400*sqrt(17) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.037 + -1.337. Let z = y + -97. What is the closest to -1 in -1.1, -4, z?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4501*k**3 + 103*k**2 - 7*k - 4501*k**3 - 122*k**2 - 1 + k**4 to m*k**3 + z*k**4 + f*k**2 + s + x*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564591, 1129239, 1693885, 2258529?\nAnswer: 2823171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3574692 and -912.\nAnswer: 3573780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5 - 7. Solve 2 = -w*x - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 0 (b) 0.1 (c) 0.4 (d) -0.321 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 + 19 + 4*l - 2*l + l**3 - 19 in the form s*l + o + q*l**2 + v*l**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bc - 0?\nAnswer: -1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1)*(4 + 3 - 5) - 18*t - 83 - 19*t + 85.\nAnswer: -41*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47664751861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1148 - -1112 - (1 + -12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 - (-476)\/49) + 2748\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -996480.\nAnswer: -996480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 13 = -3*a. Solve -a + 3 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/3 (c) 1 (d) -1\/3 (e) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 19. What is the second derivative of -8*m**j + 10*m - 13*m + m wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i + 36. Let n = 99 + -92. Let a be j(n). Let s be (-8)\/(-6) + (-60)\/a. Solve 0*p = -2*p, -5*l - s*p - 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1219004 divided by 4\nAnswer: 304751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*h - 43 = -13, 0 = 3*n - 2*h - 23. Let m = -63 - -88. What is the remainder when m is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -19 - (1 + 1) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1015*m**2 - 36*m + 4. Let k(d) = 5073*d**2 - 171*d + 19. Give -4*k(x) + 19*z(x).\nAnswer: -1007*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7918268 to the power of 1\/2, to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 2*y + 320. Let b(a) = 11*a**2 + 4*a + 632. Give 2*b(h) - 5*s(h).\nAnswer: -3*h**2 - 2*h - 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7810 - 7802. Let q be ((-8)\/14)\/((-8)\/28). Solve q*r - 27 = 5*a, 4*a - b = -28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/3 + 38*n**2 - 75*n + 4937. Calculate a(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from yuypyuyupfyyyyyyfyfy.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae51e (base 15) to base 9.\nAnswer: 1034752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v + 4493. Let t(h) = 19*h - 4490. Give 5*t(c) + 6*z(c).\nAnswer: -c + 4508","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 + -3 + 72\/15. Let 3\/5 + 9\/5*j**2 - 3\/5*j**3 - o*j = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 + 5. Let v(i) = i**3 - 3*i**2 - 11*i - 46. Let z be v(6). What is p(z)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1980) - sqrt(1980))\/sqrt(5).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5*g**2 - 78*g - 2*g**3 + 76*g + 3*g**4 + 3 in the form f + j*g**3 + z*g**2 + n*g + t*g**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/4 - 7*i**2\/4 - 15*i = 0?\nAnswer: -5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(1*(-1)\/1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 277 = 361 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 165689977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 3*z**3 + 7677 + 3*z - z**3 - 7991 as q*z**3 + l*z**2 + o*z + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r**2 + 1634*r + 17645. What is o(-11)?\nAnswer: 1970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5305 times 0.5\nAnswer: -2652.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42900)\/(-286)*-1*2*(-6)\/24.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 - 48*m**4 + 8721*m**3 - 126582*m**2 + 117912*m = 0.\nAnswer: -68, 0, 1, 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - f + 1. Let b be z(-6). Let a = b - 45. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q + 2*q = 4*q - 124, -235*q + 35 = -2*y - 234*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7)\/f)\/(f*f*f**11\/f))**(-35))**(1\/15) assuming f is positive.\nAnswer: f**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4)\/10) + 4\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -35*u + 73. Let q be x(2). Let y(n) = 32*n - 1. Let z be y(3). Suppose -v - z = -q*p, v + 1 = -4. 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: Suppose -10 = 2*t - 3*t. Suppose 0 = -2*g - 6 - 0, -5*g + t = 5*a. Solve 4*w + 6 = a*l, l + 22 = -0*w - 5*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*0 - (-12)\/54. Let h be (-1)\/(-2) + 2\/(-3). What is the third biggest value in -5, h, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 65 = -2*i. List the prime factors of (-73139)\/(-253) + (-4)\/i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 12:42 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14490192 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493 is divided by 531.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -19 - (-1 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*a*s - 2*a - 621*s with respect to a.\nAnswer: 299*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1376 = 107*o - 413. What is the closest to o in -4\/9, 3, -6\/11, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/2239 and -48\/7.\nAnswer: 15673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 + 2*y - 1. Let a be x(1). Let n be 10\/(-4)*(a + -2). Suppose 0*v - n = -v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 518986*r + 87441.\nAnswer: 518986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**5\/20 - 5*z**4\/12 - z**3 - z**2\/2 - z + 11. What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - 4*i - 4. Let v be d(-3). Let o be 1*(1 + -1) + (10 - -70). Let n = v - o. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 + y - 6. Let d(s) = -60*s**2 + 3*s + 173. Let j(p) = 15*p**2 - p - 46. Let o(r) = 3*d(r) + 11*j(r). Determine 13*f(v) + 6*o(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = -8. Let z be (2\/m)\/(4\/(-468)). Does 13 divide ((-17)\/2)\/((-13)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*n + 324. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*(-11 - -9). Calculate the remainder when b - (-4 + 0)\/((-2)\/(-92)) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 + 4*l + 14. Let h be p(4). Suppose -21*v + h*v - 5283 = 0. What are the prime factors of v?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1.6 (b) -2\/9 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, c: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 6*b + 1748. Let a = -611 - b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and (-741)\/988 - (-9)\/(-8)*4264\/(-12).\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1092a8 + -23?\nAnswer: -109320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 0*d**2 + 0*d**6 + 0*d**4 + 0*d + 0*d**5 - 6 - 9\/7*d**7 - 3*d**3. Find the third derivative of o(a) wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = 3*j, 5*j + 5*m + 0*m = 15. Let y(w) = 23*w**3 + 4*w**2 + w. Is y(j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/7300 and 119\/3700.\nAnswer: 270100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-285))\/(1\/10*2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7915688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12075195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/19))**(1\/59))**49 assuming y is positive.\nAnswer: y**(1078\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**2*l**3 - 31*a*l**3 + 8*l**3 + 3*l wrt a?\nAnswer: 6*a*l**3 - 31*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 36 + 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -9 + 19. Solve 2 = p, d*v + 5*p + 6 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4955.8 + 1027687760.\nAnswer: 1027682804.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -l - 3*l + 40, 19 = 2*x + l. Let t be 153 + 2\/(-6)*-9. Calculate the greatest common factor of x and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-3) + ((-147)\/(-4))\/7. Sort 1, 1\/3, q in descending order.\nAnswer: 1, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15 - (-392)\/10. Suppose 4*v - o = 23, -3*v + 5*v + 5*o - j = 0. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -24. Let w be (5*-3)\/(-3) + -2. Suppose -2*f - w*f + 10 = 0. Is f at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3358432 by -517.\nAnswer: 6496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (572\/(-6))\/((-27)\/81) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (1 - 3\/(-6)). Let o be (-1)\/(66\/159) + 1. Let w = 10\/11 + o. Is w less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + (1 - 1) + 4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10*(-2115)\/(-18). What is the greatest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 - 8538*z**2 - 34113*z - 25578 = 0. Calculate z.\nAnswer: -2842, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -6 + 4\/5*k**2 - 1\/45*k**3 - 1\/90*k**4 + 8*k. Let r(i) = 0. Calculate i.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 4. Let y(v) = -4*v + 4. Let k(q) = 7*a(q) + 6*y(q). Determine k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*d + i - 14 = 0, -4*i + 14 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9828*g**2*k - 418*g**2 - 3*g*k - 47 wrt k?\nAnswer: -9828*g**2 - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*k + 576*k - 292*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 21 = -y + 6*k, -5 = -k. Suppose s - 17 = 3*n, -n = y + 1. Let g be 0*(3 + -2)\/1. Solve -s*b - b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 13 = u, 8*a + 26 = -6*u + 4*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -36. Let c = q - 6. Let a = 50.0000051 - c. What is a rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 6*y - 2. Let h be l(-4). Let j be (h\/(-10))\/((-4)\/(-10)). Let p = -3.7 - -0.7. Which is the biggest value? (a) j (b) p (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -11*b**4\/12 - 2*b + 207. Let h(t) = 4*t - 3. Calculate x(h(o)).\nAnswer: -176*o**2 + 264*o - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2232\/(-126))\/(-31)*14\/12*(34 + 71).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(1*2\/(-4)). Let f be -5 + 2 + c - -3. Calculate the common denominator of 10\/(-16)*7\/f and -11\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129337.372 to the nearest one hundred.\nAnswer: -129300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 218, 20007?\nAnswer: 20007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 9\/2*a**3 + 0 - 3\/4*a**5 + 1\/10*a**6 - 29*a + 3\/4*a**4 + 0*a**2. Factor x(w).\nAnswer: 3*w*(w - 3)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125178377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u + 2*u. Suppose u = w + 2*w. Find the second derivative of -w*l**4 - 1 - 1 - 2*l + 2 wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 51381*s**3 - 28234887*s**2 - 3899904883*s.\nAnswer: -s*(s + 277)**2*(s + 50827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-232)\/6)\/(8\/(-24)). Suppose 2*s - 4*s = -k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1057478 - -5?\nAnswer: 1057484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*r + 13, -3*h + 2 = 2*r - h. Let p = r - -3. Solve 5*i + 9 = -2*j, -p*j = 2*i - 3*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 10. Suppose k = z*k. Suppose 3*p + 2*m = -p + 14, 3*m = -4*p + 17. Solve k*f - 8 = -p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -89*z**6\/6 + 2*z**3\/3 - z**2 + 55*z + 99. Find the second derivative of c(s) wrt s.\nAnswer: -1780*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000186933 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*r + 4*r - 2*n, 0 = -3*r + 2*n + 65. Let y = r + -20. Solve -p - d = -0*d - y, 0 = -3*p - 4*d + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8138, 8440, 8742?\nAnswer: 9044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -a5?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 + 0 = 0. Suppose 5*c + 35 = 5*r, 50 = 5*r - 4*c + b*c. What is the remainder when 22 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*(-15)\/12. Is u smaller than 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 3. Let f(b) = -b - 2. Suppose -4*q - 25 + 5 = 0. Let s be f(q). Let w be 2 - (-1 + 0 + s). Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Solve -5*n + 7 - 32 = v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40694633203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 28*o**3 - 9*o**2 + 19*o**2.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14778851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31123 (base 4) to base 9.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:22 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -7, -48, -127, -256?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 (base 10) in base 7?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1356243666?\nAnswer: 1356243667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + 5 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/2 - -25\/6. Let s be (-1)\/(-6) + 55\/210. Let f = -2 - -1.7. Which is the second smallest value? (a) f (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 27212797.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 - 2*r + 13. Let t = 647 - 651. Let f be k(t). Solve 5*d + f*b = 0, 3*d - 5*b + 2 = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))**(-14)\/((o\/o**(-6))\/o**(1\/10)) assuming o is positive.\nAnswer: o**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1107*c**5 - 2079*c**2 - 6*c - 751549.\nAnswer: -22140*c**3 - 4158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*l**2*t**3 + 1050*f*l**2*t**2*x + 3*f*l**2*t**2 - 167*f*l*t**3*x - 2*f*l*t**2*x - 22*f*t**3 wrt t.\nAnswer: 6*f*l**2 - 1002*f*l*x - 132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 40*f**2\/7 - 566*f\/7 - 1276\/7.\nAnswer: 2*(f - 11)*(f + 2)*(f + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * -0.1\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + (-28)\/(-6). Suppose -n*u + 5 = -5*d, 3*d + 2 + 1 = -2*u. Factor -10\/11*y**2 + u - 4\/11*y.\nAnswer: -2*y*(5*y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0870057ml?\nAnswer: 0.0000870057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*l + 28, -g + 0*l - 11 = 4*l. Solve -42 = -11*b - g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -137*h - 21. Let u = 2 + 0. Calculate the highest common factor of u and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 5 (c) 0.6 (d) 0.4 (e) -16\/3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 4, -48346, -2 in descending order.\nAnswer: 28, 4, -2, -48346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*x**4 - 2143*x + 2143*x - 6*x**4 + 8 - 8 + 3*x**4 - 5*x**4 + 4*x**4 + (5*x - 2*x - 2*x)*(2*x**3 - x + x) + 0*x**4 - x**4 + 2*x**4.\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyyiniiypninniiiiy. What is prob of sequence iyp?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.6 - 9.6. Which is the nearest to 3? (a) s (b) -0.2 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -28 (c) -1\/2 (d) -5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chyzj. Give prob of picking 1 c and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 19*t**2 - 21 - t**3 - 3 + 3 - 20*t**2 + 14*t. Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6882)\/(-22940))\/(3\/(-94))*5\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (6 - 18) - (-6 - (7 + -10)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1116.11 - 1121. Let f = j + 5.5. Let s = 1.41 - f. Which is the nearest to s? (a) 2\/11 (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 930626619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 417*z - 2470. Let g be y(6). Solve 30*f - 10 = g*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a = -42*a - 30. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6845, 6847, 6849?\n\"Answer: 2*f + 6843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -526 < -527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82287224.\nAnswer: 2, 47, 218849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33393070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 78)*(-5)\/(75\/(-6)). What is the greatest common divisor of 416 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let h = 25 - 19. What is the smallest common multiple of m and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/15*n**5 + 0*n**3 + 3*n**2 - 4*n + 0 + 0*n**4. Let r(y) = 17*y. What is r(c(v))?\nAnswer: -68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17330004 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 - 2*j**3 - 912*j**2 - 9208*j - 22880 = 0.\nAnswer: -11, -10, -4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9571 + -18.9571. What is the third smallest value in w, 2, 1\/18, -3?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (12 + -33 + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 9. Let p be f(4). Let w be -4 + 7 + 0 + p. What is the nearest to -1 in -1\/6, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.553 + -0.009. Round x to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)*(b**(-12\/11)*b)\/b*((b\/(((b\/b**(-15))\/b)\/b))\/b)\/b**(3\/5) assuming b is positive.\nAnswer: b**(-6261\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3022 - -3026. Let a = -1 - 0. Is a*c + 14*18\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {s: 1, n: 1, c: 1, i: 1, l: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 451, 694?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 18. Let y be (-725)\/35 - ((-2)\/(-7) - 0). Let c = p + y. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1376*q + 374 + 36*q**4 + 2*q**5 + 28*q**4 + 3*q**5 + 13*q**4 + 450*q**3 + 10 + 1208*q**2.\nAnswer: (q + 3)*(q + 4)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**3 - 4*l**2 - 4*l + 4. Let c(f) be the third derivative of -f**6\/24 - f**5\/20 - f**4\/8 + f**3\/2 - 7*f**2. Give -4*c(x) + 3*d(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 181, 333, 471, 589, 681, 741, 763?\n\"Answer: -l**3 - l**2 + 162*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -54.698 * -40\nAnswer: 2187.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1038760, -1038738, -1038716?\n\"Answer: 22*f - 1038782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*k**2 - 110*k**2 - 5*k**3 + 339*k**2 - 113*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 1, 7, -369?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(2 + -3)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + i**3 + 4*i**3)*(313 - 13*i + 105 + 11*i)*(3 + 4 - 11) in the form f*i**4 + l*i**3 + d*i**2 + r + v*i and give l.\nAnswer: -6688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:58 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1295 to 2 decimal places.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5439*x + 5433. Calculate p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**2 - 4*v + 1. Let y(w) be the first derivative of -11*w**3 + 11*w**2\/2 - 3*w + 7. Let c(h) = -8*i(h) - 3*y(h). What is the units digit of c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -93310.\nAnswer: -1\/13330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5181.\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1286 = -4*z - 5*s + 822, 2*z - 2*s - 1054 = 0. What is the units digit of (-7 + 11 - 3)*(-1 + z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 18.2.\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m + 2*m**2)*((2*m - 2*m + 2*m)*(1 + 11 - 1) + (-m + 0*m + 3*m)*(3 - 2 + 0) + 658*m - 48*m - 248*m) as o*m**3 + v + d*m**2 + u*m and give o.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102.86 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93081, -93017, -92955, -92895, -92837?\n\"Answer: -d**2 + 67*d - 93147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f. Let y be k(-2). Calculate the common denominator of 15\/8 and (148\/y)\/((-3)\/(-15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/1470 and 5\/6 + 18447\/(-28665).\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 201002?\nAnswer: -200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*(-216)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323183.18 rounded to the nearest one thousand?\nAnswer: 5323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 12:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.6 - -263.4. Let f = 252 - j. Which is the third biggest value? (a) 0 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/450)\/(10 + (-637)\/65).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + 5*f + 5. Let u(x) = x**2 + x + 1. Let m be (-23 + 3553\/153)*9\/2. What is m*r(y) - 3*u(y)?\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-7)*392\/(-224)*-44\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5333, -10664, -15979, -21272, -26537, -31768, -36959, -42104?\n\"Answer: s**3 + 2*s**2 - 5344*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**4 + 1235*y**3 + 3310*y**2 - 85400*y = 0.\nAnswer: -244, -10, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -20*y**2 + 12. Let v(c) = -c**2 + 12*c + 4. Let k(x) = x**2 - 18*x - 6. Let l(o) = -2*k(o) - 3*v(o). Determine l(t(u)).\nAnswer: 400*u**4 - 480*u**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/5066105 or 0?\nAnswer: -76\/5066105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -108*p**3\/11 - 822*p**2\/11 - 1514*p\/11 - 520\/11 = 0.\nAnswer: -5, -13\/6, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0762, 33.517, 5\/4, -0.1 in decreasing order.\nAnswer: 33.517, 5\/4, -0.0762, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7964 + -1814. Let k = l + 9745.99925. Let x = -32 - k. What is x rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*55\/198*108.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23\/(-69))\/((-2)\/24). Suppose t = -5*h + 1198, 2*h + 2*t = 5*t + 486. Suppose -6*y + h = k*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34.099114 and -47.2.\nAnswer: -81.299114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293643359 = 7*q - 867796641. Suppose -23*j + q = -6*j. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*h + 879, 4*h - 8*h - 1764 = -4*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 4. Let q be s(4). Let y = -4 + 8. Suppose 0 = 3*r - y*w + q, 4*r - 5*w + 20 = 5*r. Solve r = -z - 0*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 190*x**2 - 3*x - 40. Let n(o) = 193*o**2 - 4*o - 40. Let s = -284 + 286. Let y(j) = s*n(j) - 3*i(j). Find the second derivative of y(a) wrt a.\nAnswer: -368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/238 and -79\/8.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 1, r: 1, g: 1, h: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 31115*d - 1 - 30933*d + 7 - d**2 as g + t*d + k*d**2 and give t.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*o + 4 = 0, -o - 16 = -5*d - 2*o. Suppose -4*m = -c - 1066, 6*m - d*c - 1327 = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28303296 and 5656.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24320347 divided by -24320347\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**24*t**(-5)\/t*t*t*(t\/(t*t**(-1\/14))*t*t)\/t)\/(((t\/(t*t\/t**(-5)))\/t)\/(t\/t**5)*(t**5\/t*t)\/t*t*(t*(t\/t**(3\/8))\/t)\/t) assuming t is positive.\nAnswer: t**(417\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2 (c) -0.4 (d) 803 (e) -4.1 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m - 121 - 124 + 2*m**3 + 251 to the form u*m**2 + t + c*m**3 + g*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(-52) + (-5)\/4)\/(1\/(-64301)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 28 = -z. Let a = -12 - z. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*u + 38, -2*h = -4*u + 10 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c + 353. Suppose -5*u + 5 = k, -3*k = u + 2*k + 23. Let l(p) = 2*p**3 - 2*p**2 - 1. What is the smallest common multiple of n(-25) and l(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -17. Suppose -s*h + 6*h = 21300. What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/14 + (-32)\/(-112). Which is the second biggest value? (a) -6 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.641 - 0.041. Let m = 0.4 + l. What is the biggest value in m, 0.3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c + -899?\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**4 - 154*a**3 + 7*a**2 + 7*a + 2006. Let t(x) = -x**4 - 5*x**3 + x**2 + x - 2. Let i(g) = m(g) - 7*t(g). Differentiate i(c) with respect to c.\nAnswer: 8*c**3 - 357*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 17*g + 18. Let s be i(-15). Is 1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*q = 25 + 15, -3*q = -5*u. Suppose 5 - u = c. What is the second derivative of -r**4 - r**3 + c*r + r**3 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -10 - 20. Let q(u) = 5*u**2 - 1358*u + 11479. Let d be q(263). Calculate the greatest common factor of j and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3378 is divided by 148?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909458?\nAnswer: 2, 11, 67, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 543 and 18?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -399, -786, -1173, -1560, -1947, -2334?\n\"Answer: -387*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 + -131. Suppose -3*b + 2*p + 218 = 0, z*b - 219 = 7*p - 4*p. Let u = b - 40. Solve 4*r - u = -12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - -0.06. Let l = f + 0.8. Let o = -8347.2 + 8347. What is the nearest to -1 in l, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5 - 3. Let w = -5 + 1. Sort w, -3, t in ascending order.\nAnswer: w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14790 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -2*l**4\/3 - 9*l. Let s(z) = 10*z. Calculate r(s(y)).\nAnswer: -800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103*4\/(-8)*-2 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + 460.\nAnswer: 458.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i - 103*i + 13*i**2 + 307*i + 4*i**2 - 107*i.\nAnswer: 17*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-5\/4)*n*n**(-3\/4))\/(n*n\/n**(-1\/5)*n**7) assuming n is positive.\nAnswer: n**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 3*v**2 + v - 6. Let j be f(8). Let c = 480 + j. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2 - 4. Let m be (1 + l)\/(-1) + (-486)\/(-3). Suppose -m - 57 = -5*c. Calculate the highest common factor of c and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (82*(1 - 0))\/2. Suppose -3*r - 37 = b. Let v = r - -37. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/12 + 30\/(-120). Solve -21*l + p*l = -16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.0593.\nAnswer: 0.01779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4182)\/(-205))\/(6\/15). Solve -56*u + k*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/12*-2. Suppose 5*u = 113 + 7. Let n = y + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5)\/((-8)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**7*(d**5*d)\/d)\/(d\/((d**8*d)\/d)*d*d*(d*d*d**(-3\/7))\/d*d) assuming d is positive.\nAnswer: d**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 2. Let o be 111\/(-8)*(-12)\/18. Let w = o + h. Which is the second biggest value? (a) 1\/10 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/55 - 466\/22. Let t = -6 + d. Is -27 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*l + 380*l + 275 = -5*y + 765*l, 3*l + 116 + 135 = -5*y for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -91829 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*g - 72, 27*g - 100 = -3*v + 31*g. What is the closest to v in -2\/7, -1, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 - u**5\/10 + 7*u**4\/24 - 2*u**3\/3 + 4*u**2. Let x = 220 - 216. Calculate o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0574 + 8642?\nAnswer: 8641.9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16152 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27457285241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - (-418)\/(-154). Let c = 2446.7 + -2447. Put u, 6.7, c in increasing order.\nAnswer: u, c, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/167 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 5*y**2 - 9*y - 4. Let s be q(7). Suppose 3*r + 16 = -5*g, 2*r - 5*g - s = -0*g. Solve r*b + b = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 2. What is the tens digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 24 = -4*f, -s = -0*s - 4. Sort 5, 0, -4, f.\nAnswer: -4, f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2123*-0.2.\nAnswer: 424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 20, -v - 14 = 4*n - 46 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1272 + 1322.88. Let b = a + -53. Round b to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 1:19 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6564*d - 12*d**5 + 1603*d**2 - 13129*d + 6565*d wrt d.\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -6) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*g = -36 + 7, g = 3. Let l(o) be the third derivative of 0*o**4 + 0*o**3 - 16*o**2 + 1\/30*o**d + 0 + 0*o. Let y(z) = 35*z. Calculate y(l(c)).\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 37431558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, 0.5, -0.2, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712 - 712 - 136*j**3.\nAnswer: -136*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52.4? (a) 4 (b) 18 (c) 1\/5 (d) -3 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 + 11*n**3 - 253*n**2\/3 - 119*n + 578\/3.\nAnswer: -(n - 17)**2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1069 or -133336?\nAnswer: -133336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -777 divided by -4\nAnswer: 777\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2471 + 2716. Calculate the remainder when z is divided by 116.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 - 16*y + 2. Let f(p) = -3*p**2 - 11*p + 1. Let g(o) = -7*f(o) + 5*r(o). Determine g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13\/((-130)\/(-163164)) - 24\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + 0.5. Let t = -2.046 - 0.054. Let k = s - t. Which is bigger: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2374*r**3 + 3129*r**2 wrt r.\nAnswer: -14244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 32.946. Let l = 1764.1 - 1764.045995. Let g = k + l. What is g rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -150, -338, -512, -672, -818?\n\"Answer: 7*h**2 - 209*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/138703 and -5\/1823437.\nAnswer: 74760917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -685\/166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 703797\nAnswer: -703796.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 10*j + 10*j - 6.\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 + 2*l. Let m be t(4). Suppose -2*y - 2*y = -28. Is y bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = l - 4*n + 12, -2*l - 3*n = -21. Suppose -l*d - 126 = 3*b, 0 = -2*b + 6. Let o = d - -172. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9047*j**6 - 11*j**5 - 32*j**3 + 8255*j**2 - 627*j?\nAnswer: 1085640*j**3 - 660*j**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*j**2 + j**3 + 10 + 14 - 4*j**3 + 1 + j + 345*j**2 as y*j**3 + g*j + k + c*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 52 + 38. Let a be (18\/27)\/(4\/p). Solve 9 = 5*i - 4*r, 4*i = -0*r + a*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -879837, -1759659, -2639473, -3519279?\n\"Answer: 4*t**2 - 879834*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314014515?\nAnswer: 3, 5, 23, 521, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 + 10*t**2 + 28*t + 25. Let k(s) = s**3 + 3*s**2 + s + 6. What is -c(j) + 4*k(j)?\nAnswer: -j**3 + 2*j**2 - 24*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.036 + -0.364. Which is the biggest value? (a) -2\/21 (b) -0.2 (c) m (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/3))**4\/(v**(1\/4))**(-3\/5)*(((v**(-5)\/v*v)\/v)\/(v\/(v\/((v**(-6)*v*v)\/v)*v)))**43 assuming v is positive.\nAnswer: v**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*f**2*l**3 + 5148*f**2*l**2 - 9573*f*l**3 - 5*l**3 wrt f?\nAnswer: 138*l**3 + 10296*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:51 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-26)\/3276*9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*h*j**2 + 145*h*j - 13738*j**2 wrt h?\nAnswer: -20*j**2 + 145*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8478 is divided by 3994.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 7*r**2 + 2. Let c(w) = -8 - 9*w + 5*w - 3*w**2 + 4*w**2 + 2*w. Let n be c(5). Let y be h(n). Solve 6 + y = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94912*v - 94912*v + 341*v**3.\nAnswer: 341*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 249.6729 days?\nAnswer: 359528.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.9965 years in centuries?\nAnswer: 5.239965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27 - (-1)\/((-5)\/25). Let y(g) = -49 + 4*g + 27 + z. Let m(f) = 8*f. Suppose 10*t - 7*t + 21 = 0. What is t*y(r) + 3*m(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 11:33 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 10 = -4*j, -194*j = -4*i - 192*j + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 2*k**2 - 8 + 2*k**2.\nAnswer: 4*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -6, i - 18 = -5*p + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11663, 11625, 11595, 11579, 11583?\nAnswer: 11613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 31*l**2 - 30*l + 39. Determine w(-32).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 14*q + 3*f + 6, 0 = 3*q - 2*f - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-189*t + 23*t - 10*t)*(0 + 2 + 1)*(1 + 1 - 3)*(-t - 16*t + 7*t) + t - t + 2*t + 2*t**2 in the form h + v*t**2 + b*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 756349 - -477388. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 - 4*m**2 + 3*m + 26. What is the lowest common multiple of x(4) and 24?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(90\/(-25)))\/((-2)\/(-14))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177638 - -46556. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*g + 21, 256 - 276 = -b + 5*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(171)*-3)\/sqrt(9) - (-3 + (5*sqrt(19)*4)**2).\nAnswer: -7597 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 1. Let h be f(5). Suppose -3*d + 5 = 2. Let p be (33\/d)\/(-1 - -2). Calculate the greatest common factor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -24, -318724 in descending order.\nAnswer: -1, -5, -24, -318724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 8 = 13*l. Suppose -4*u = -4*y - 12, -6 = 4*u + 3*y + l*y. Let k(d) = 26*d + 4. What are the prime factors of k(u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 4, 38, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/2509 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3430.8936033 - -0.0173967. Let w = -3428 + a. Let o = 0.089 + w. Which is greater: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 + 11 = 0. Let d = 17 - k. Let n(v) = v**3 - 10*v**2 - 2*v + 23. Let y be n(10). Solve y*m = d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 148\/(-18) + (-10)\/(-45). List the prime factors of 4\/6*(-60)\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 356 - -2406?\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.553183 or 9?\nAnswer: -22.553183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24561 and 20279199.\nAnswer: 60837597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 13. Let s be (-4 + 26 - 4) + 1 + 1. Let b = 25 - s. Is 13 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/6 + 4*d**2 - 4*d. Let l be a(-5). Let f = l + 13. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -17*y**2 + 222*y - 10. Let q be k(13). Solve 0*x + x + 1 = -p, -2*x - q*p - 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 471*y**4 - 484*y wrt y.\nAnswer: 5652*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ree. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*z + 27*z - 1333 - 1607 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 + 0*z**2 + 5*z**2 + 3*z**2. Suppose -3*h = -4*h - 2*i + 12, -9 = 3*h - 3*i. Let q(l) = 3*l + 2*l - h*l. Give q(d(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let w be (-1)\/(4\/8) + 11. Suppose 0 = f*p - o - w, -7*o + 24 = 3*p - 3*o. Solve 5*z + 27 = 2*y + y, -p*z - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -4*d - 4*i, -4*i - 492 = -4*d - 188. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, -1, 1, -6029 in decreasing order.\nAnswer: 5, 1, -1, -4, -5, -6029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(50\/(-24)))\/(68\/(-28220)). Let r = -968 + g. Solve 3*f - 4*j = -r, 3*j + j = -3*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13219*v**3 - 224725*v**2 + 396604*v - 60.\nAnswer: (v - 15)*(v - 2)*(13219*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 1. Let f be x(5). Which is the nearest to 1? (a) f (b) -1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21240480.\nAnswer: 2, 3, 5, 17, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 2*q + 1. Suppose 14*x - 13*x = 1. Let d be s(x). Solve y - d*y + 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186586495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 11. Suppose -2*x + 2*p + f = 0, -p = 4*x + p + 2. Solve x*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = j + 2560, -5*q + 40*j - 37*j + 3186 = 0. What is the smallest common multiple of q and 2889?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370599 - 1035287 = -38*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 216, 202, 172, 120, 40?\n\"Answer: -x**3 - 2*x**2 - x + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 160408830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547419 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138849 - -23?\nAnswer: -138826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 + 5*f**4\/12 + f**3\/3 - f**2\/2 + 3*f. Let a = -13 - -9. What is w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -346 - 87?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031301 - -21?\nAnswer: 1031322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 10. Let y(z) = -2*z**3 + 2*z**2 + 3*z + 2. Find the common denominator of y(3) and (r\/42)\/(1\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367762257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.9 - 5.9. Let i = 8864\/9 - 986. What is the second biggest value in s, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -94. Calculate the remainder when m is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 1190\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + t**3 + 2*t**2 - 3*t + (-2 + 2 + 1)*(0*t**3 + 3*t**3 - t**3) + 0*t**3 + t**3 + t**3 + t**3 + t**3 - t**3 + 4 + 2*t**3 - 4.\nAnswer: 8*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123312 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 852269349 to the nearest integer?\nAnswer: 29194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 3*p**3 + p**3 + 3*p**3 - 5*p**2 - 2. Let c be f(6). Sort 3, c, 2 in decreasing order.\nAnswer: c, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m + 1\/2*m**4 + 1 + m**2 + 0*m**3. Find the second derivative of d(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*f - 19908 = 41*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8)*-3) + (sqrt(11) - (sqrt(1100) + 0)))**2.\nAnswer: 8624\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2*n - 22. What is y(20)?\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -34830 divided by -11610\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162494573 at least as big as 162494573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mklyryy. What is prob of picking 1 r, 1 y, 1 m, and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6503498*i**3*j + 2012740*i**2*j - i**2 wrt i.\nAnswer: -39020988*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-20))\/(3\/(-4)). What is the second biggest value in 0, 2, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -5*r. Suppose c - 4*c = -m + 16, r*m - 2*c - 27 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - -37?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 384, 386, 388, 390, 392, 394?\n\"Answer: 2*j + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -2. Let a = -0.3 + w. Let c = -0.8 + 5.8. What is the biggest value in a, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38329.47 centimeters to kilometers.\nAnswer: 0.3832947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/130 and 41\/7960.\nAnswer: 103480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5677 = 3*l + 5722 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0*l + 2 - l + (-25 + 64 + 9)*(-2 + 2 + 2*l).\nAnswer: 97*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd572 (base 15) to base 9.\nAnswer: -1116678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101111100010 (base 2) in base 9?\nAnswer: 35235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-1344)\/80)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.0467, 0.29, 3, 4?\nAnswer: 0.0467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1916 = -2*r, -a - 5*r + 1910 = 3*a. Suppose a = 3*u + u. Suppose -5*h = -5*n + u, h = -0*h - 3. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*s + 38, s + 28 = 5*b - 45. Solve 0 = 3*w + 2*w - b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(3 + sqrt(1053))**2 + sqrt(1053).\nAnswer: -1066 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-2)\/(sqrt(6)*3*-5 + sqrt(6)).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51890970 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/5 + -5)*(-1138)\/4. Suppose -4*h = g - j, 5*g + 480 + 107 = 4*h. List the prime factors of h.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 7*h - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235.8 + 235.7. What is the closest to a in 0.021, 2\/5, -2?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85819 - -59619. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*h + 5*d**2 - 2*d*h + 534*d + 16412*h wrt d.\nAnswer: -2*d*h + 10*d - 2*h + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-18) + 200\/60 - (-2 - -1). Find w such that 1\/3*w**g + 4\/3*w**3 + 0*w**2 + 0 + 0*w = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 21*k - 53 + 9*k + 10*k + 39.\nAnswer: -2*k - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25962585 and 1101443?\nAnswer: 181738095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3512235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -7. Let p = d - -7. Let o be (25\/15 + 2\/(-3))*3. What is the greatest common divisor of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -490, 0, -2, -4, 4, -8 in descending order.\nAnswer: 4, 0, -2, -4, -8, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 + 3*m**2\/2 - 2*m + 45. What is k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let n be -2 - (-18 + 1\/1). Let z = -13 + n. Let r(m) = -86*m**z - m + m + 94*m**2. Determine r(w(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -4)*(-3)\/(-2). Let j(s) = -s**2 - 6*s - 4. Let n be j(-4). Put r, 3, n in decreasing order.\nAnswer: n, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*((-8)\/2)\/(-8). Let l(x) = -12*x + 10. Let q be l(w). Let c = q + 64. Solve c*o + p = 8, -2*o + 0 = 2*p - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 467*j - 3178. List the prime factors of p(48).\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.832316917 to 4 dps.\nAnswer: -6.8323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c = 4277901 - 4278247 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88747 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d + 5*d - 6422 = 5*d - 47 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4350 and -19\/3063270?\nAnswer: 15316350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqh. What is prob of sequence qg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13290785 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) 3 (c) 5 (d) -0.3 (e) 223\/37 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 139?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -1684, -4599, -9558, -17071, -27648, -41799, -60034?\nAnswer: -82863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o + 2*o**3 + 0*o**3)*(0*o**2 - 2*o**2 + 0*o**2).\nAnswer: 2*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506519001 + 18633821016937\/36788. Let m = 1\/1082 - o. Let d = -299\/1972 - m. Sort d, 1\/6, -4 in increasing order.\nAnswer: -4, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 35\/12*f**5 + 34\/9*f**3 + 15*f + 4\/3*f**2 + 0 + 95\/18*f**4. Factor l(t).\nAnswer: (5*t + 2)**2*(7*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1164 * 13126.\nAnswer: 15278664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n + 140. Let u be g(14). Which is the closest to -1? (a) -0.2 (b) u (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1212 - -1372. What is the greatest common factor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 24. Let b(g) = -4*g + 36. Let d(n) = 5*b(n) - 7*p(n). Suppose -2*j + 7*j = 0. What is the units digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13792427 is divided by 475600.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*a + 557, -149 = -0*x - x + 4*a. Suppose 0 = -r + b + 162, r + 5*b - x = b. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 381 = -378. Let g(l) = -15 + 3*l - w*l + 6*l**3 + 31 - 15. Let p(u) = -7*u**3 - 1. Suppose 6*a - 2*a = -5*y + 5, 17 = 4*a + y. Give a*g(q) + 4*p(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 4*j**3 - 2*j**3 - 66.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:16 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 799, 756, 639, 412, 39?\n\"Answer: -6*u**3 - u**2 + 2*u + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 944256599 to the power of 1\/3, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 321309044 a multiple of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-634 + 483 - 750 - 894 - 510 - 869)*(11 - 11 + 16*z).\nAnswer: -50784*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 5*y + 1. Let n(c) = c. Suppose 0*o = -4*o + 4. Let l(f) = o*d(f) + 2*n(f). Suppose l(j) = 0. What is j?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 4. Let b(m) = 11*m + 9. Let j(x) = 4*b(x) + 9*q(x). Let h(l) = l**2 + 1. Let s(i) = -2*i**2 + 3. Let o(n) = -6*h(n) + 2*s(n). Give o(j(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2211046 * -1.86.\nAnswer: -4112545.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/10 + -7 + 20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3*l + 10. Let r be u(-5). Suppose r = -0*n + 2*n - 44. Find the second derivative of 27*a**5 - n*a + 69*a**2 - 69*a**2 wrt a.\nAnswer: 540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-2 + 20\/14))*203 + -1 is divided by 67?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(425) + sqrt(425))*-4 - 5*(1 + sqrt(425) + sqrt(425)))**2.\nAnswer: -1234350 - 6600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/15 - 2)*-5. Suppose 5*g = 2*m + 410, 111 + 116 = y*g - 5*m. Calculate the common denominator of 9 and (-9)\/g - (-1)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1920 and 1728?\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11109 is divided by 5545.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -71. Let y be -5*(-8)\/d*3. Is y greater than -13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*f - 4507152 = 231*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 62 = -10*f. Let n = 155 - f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from ddddkkdvkkkkkkkkkkkv.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, n: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 718. Let c = 532 - f. List the prime factors of c.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 980*m**3 + 5588*m**2 - 36212*m - 200760 = 0. Calculate m.\nAnswer: -239, -7, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 425*s - 395. Let w(u) = 426*u - 377. Let d(t) = -9*b(t) + 8*w(t). Differentiate d(z) with respect to z.\nAnswer: -417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*b**2 - 15 - 5450*b + 5450*b wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2250203664438 and 0.4.\nAnswer: 2250203664438.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gourvtrt. What is prob of picking 1 g and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2) + 5 + (-245)\/30. Let c = 9 - 3. What is the second smallest value in z, c, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7360 + -5258. List the prime factors of c.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6789032?\nAnswer: 2, 848629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 71 + 0 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16546012 (base 7) to base 3\nAnswer: 10001120021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6 + 25\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16.9493 (b) -2\/7 (c) 0.5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5011 divided by 714?\nAnswer: -5011\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0 + -3 - -1. Which is smaller: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 496.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) -0.9 (c) 0.12 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhho when four letters picked without replacement from wuuhhuuuwuwuwohz?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3 - 4 + 5 - 2 + (2 + 1 - 5)*(0 + 0 - 1))*(1888*m**2 + 3*m**3 - 1888*m**2 + m) in the form y*m**3 + a*m + i + s*m**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280*a*f**2*v + a*f**2 - 28*a*f*v + 3*a*f + a*v**3 - 2*f**2*v**3 + f*v wrt f?\nAnswer: -560*a*v + 2*a - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 96 - (-149 - 75 - -228).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Let r = -22819 + 22821. Let l(n) be the second derivative of 0*n**r - 17*n + 1\/6*n**3 + 0. Give l(w(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211, 810, 1809, 3208?\n\"Answer: 200*b**2 - b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 1384, 3127, 5568, 8707, 12544, 17079?\nAnswer: 22312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19198895 is divided by 2742698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - 31*f**2 + 17*f + 158. Give y(-8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.86 - 65?\nAnswer: -83.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -20*q - 19. Let u be h(-4). Are u and 60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 15*o - 18. Solve 0 = o*v - 4*p - 4, -4*v - 6 = 2*p + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 383537, 381084, 378631?\n\"Answer: -2453*i + 385990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 2, x: 6, t: 4}. Give prob of picking 1 f, 1 t, and 2 x.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 15*v - 12. Let d be k(-7). Let u(a) = -19*a - 29. Let x be u(d). Suppose c = -20 + x. What is the remainder when c is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 23*l**2 - 29*l + 43. Let n be k(24). Sort -3, -4, n in decreasing order.\nAnswer: -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166\/(-83))\/(70\/(-60)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 4*p + p - p + p + p + (p - 3*p + 3*p)*(-1 + 3 + 0) - 4*p + 5*p + 0*p + 3*p - 3*p - 3*p to u + o*p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000632077061 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 35.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -14, 2*l - 94 = 2*f. Is ((-3)\/(18\/f))\/(4\/6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5\/5 - 17062*u**4\/5 - 2424598*u**3\/5 + 5721836*u**2\/5 - 820329*u + 821466\/5 = 0. Calculate u.\nAnswer: -141, 1\/3, 1, 5826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -3525*y**2 + 7457*y - 6643. Find the first derivative of v(f) wrt f.\nAnswer: -7050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 a when three letters picked without replacement from mmmmmmmammmmmaa?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7822 + 7863. Solve -p = -4*i - 5*l, 0 = 27*i - 25*i + l - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/10)\/(12\/10). Let u = 0 + 3. Suppose -5*m - 4*j = 20, u*j + 4 + 11 = 0. Which is the nearest to m? (a) -5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/35556117 and -41\/51?\nAnswer: 604453989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*p + 37, -p + 53 = 3*g + 4*p. Let h = g - -35. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38472\/13 (b) -0.24 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6631 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -18*b. Let u be ((-2)\/(-6))\/((-1)\/3). Is 7 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z - 1. Let f(b) = b**2 + 5*b + 5. Let q(a) = -a + 2. Let o be q(5). Let s be f(o). What is t(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 14*y**2 - 20*y + 23. Let f(l) = -l**2 - 25*l - 81. Let m be f(-22). What are the prime factors of i(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514389333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppop. What is prob of sequence ppop?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 52 = -234. Sort -5, z, -2, 0 in decreasing order.\nAnswer: 0, -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let s(z) = 18*z. Suppose 3*p = 4*p + 1. Let d(a) = p*s(a) - 12*u(a). Let n(k) = k. Give d(n(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3962 and 0.23?\nAnswer: -911.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12 - 8\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2. Suppose -5*k = s - 3*s - 44, -2*s = -k + 12. Let f be (5\/4)\/(2\/k). Let l(n) = -n**2 + 4*n + 3. Let h be l(f). Give t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 + m + 1. Let g(o) be the first derivative of p(o). Let r(f) = -f - f - f + 4*f. What is r(g(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 7. Calculate the least common multiple of o(-5) and 4*1\/2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -24*p**2 - 5*p + 46. Suppose 23 = 9*w - 22. Let b(r) = 24*r**2 + 6*r - 47. Let v(a) = w*b(a) + 6*x(a). Find the first derivative of v(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.01 - 0.01. Let f = 3 + z. Let c = f + -3. What is the third smallest value in 3\/5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*v**2 + 104*v**2 - 5*v + 1 + 4*v**3 - 5*v**3 as o*v**2 + y*v + c*v**3 + w and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 2881 = 823. Let o = j + -63. Calculate the greatest common divisor of 56 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18340 + 1027 - 31913 = -1232*d + 9910 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1815 in 0.1, -1, 3\/58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.07075102.\nAnswer: 0.063675918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -35*n + 44*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -36*k**2 + 1305*k + 5. Let t(f) = -29*f**2 + 1306*f + 4. Calculate 4*o(s) - 5*t(s).\nAnswer: s**2 - 1310*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 315 = -o, -30 = -b - o + 48. What is the remainder when 3000 is divided by b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*f - 134 = 0, -6*f = v - 9*f - 38. Calculate the highest common factor of 120 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2389485394 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0471 + -64.9529. What is the smallest value in -0.1, -4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + (-6)\/(-3). Suppose -c*q + 2 = -2*q. Solve -p = q - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 41*b + 233. Calculate i(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 2) + -2 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44457 or 44454?\nAnswer: 44457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2825 divided by 6\nAnswer: 2825\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59348 and 444.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1171, 2342, 3513?\n\"Answer: 1171*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4571400 by -190.\nAnswer: -24060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4361, -8732, -13107, -17486?\n\"Answer: -2*t**2 - 4365*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 3, 4 in decreasing order.\nAnswer: 154, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -716920 divided by -71692\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 0?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603310641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 + 4*p - 7. Suppose -4*v + 18 = 2. Let j be (v\/20)\/((-1)\/(-3))*5. Let u be x(j). Sort -5, 5, u in decreasing order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 + 70 = 5*r. Let v = r - -184. Suppose -127*x = -129*x + v. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*f - 75093, -g = f - 24980 + 6213. Suppose -2*y = -5*x + 8*x - 18779, -3*x + 5*y + f = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437901.\nAnswer: 3, 145967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/519744 and -101\/866240.\nAnswer: 2598720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 5, -114, 7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from yynynyyyyoyyyyyyyyny?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539688 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93338719378 plus -1.5?\nAnswer: -2.43338719378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from cldcqcnqdnqtnqq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011111011 - -10111100?\nAnswer: 11001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 12. Let y(x) = -x**2 - 5*x + 22. Give -5*v(j) - 2*y(j).\nAnswer: 2*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4447000 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -55*h + 44. Give i(-4).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/6 + 9*h**2. Let a(u) be the second derivative of 0*u**2 + 0 - u + 1\/3*u**3. Calculate a(y(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 - (24 - (21 + -37 + 7))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55659362.\nAnswer: 2, 11, 2529971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*d - 15*d + 348*d + 9837 + 2848 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484205093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -571. Let g = 634.3 - h. Let d = g - 73. Sort 4, d, -2\/7 in ascending order.\nAnswer: -2\/7, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 569*k**2. Let v(z) = z**2 + 16. Determine v(y(x)).\nAnswer: 323761*x**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2646 and 13671.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:01 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 72*o**3 + 437*o**2 + 1170*o = 0. Calculate o.\nAnswer: -2, 0, 9, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -314 + 2226. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 5*u**2 + u - 4. Let t be q(5). Let w be ((-3)\/(-99))\/(((-20)\/24)\/5). Let s = -8.3 + 8. Which is the nearest to 0.1? (a) w (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16518031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*(-24)\/(-8). Let i(w) = 12*w - h - 12*w + 48*w**2. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + 40 + -96 + 20.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -7*i - 8. Let u(b) = -i*b + 21 + b**2 + 8 - 6*b - 5. What is the tens digit of u(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 2*k + q, -2*q = -2*k + 20. Let h be k\/6*(-78)\/(-4). Let w = -17 + h. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2736) - (0 + sqrt(2736) + sqrt(2736))) + 4)**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.6941 nanograms in milligrams?\nAnswer: 0.0009506941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 3*l**2 + 3*l - 1. Let n be z(2). Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -3 - (2 - -1). Suppose -3*l + 11 + 136 = h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.48907 years in months?\nAnswer: 953.86884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1369 + -1365. What is the greatest common divisor of j and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.513018 rounded to two decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g + 76*g - 156*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8936718 and 790860.\nAnswer: 89367180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/10)\/(-3)*(-6)\/(-21)*(1 + -63)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 4)*(4 + -3). Let m(b) = -b**3 - b**2 - 6*b + 2. Let z be m(c). Suppose 33 = -3*v + z. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -18. Let g(z) = -150*z + 29999. Let p be g(200). Which is the smallest value? (a) p (b) 2\/15 (c) o (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (135\/(-4))\/((-7)\/28). Calculate the highest common factor of 54 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by -4\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105177*g**3 - 52745*g**3 - 52640*g**3.\nAnswer: -208*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49646*s + 714 = 49663*s. Solve -13*i = -s - 49 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 15) to base 4.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252185692.\nAnswer: 2, 11, 401, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107.3 + -107. Which is the closest to 1\/2? (a) 0.1 (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*b - 2567714 = -8023179, 4*l - 5*b = -4364372. Let h = -211093 - l. What is h rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.6 * -0.5\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-4)\/(-8))\/((-81)\/(-18) - 4). Let m(r) = -r + 1. Let a(o) = -23*o + 8. What is w*a(g) - 6*m(g)?\nAnswer: -17*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21909 in 1\/4, -16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39520671815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 101*k**2\/2 - 24. Let d(y) = -4*y**2 - 3*y + 3. Let m(q) = -7*q**2 - 5*q + 5. Let u(n) = 5*d(n) - 3*m(n). Give r(u(o)).\nAnswer: 101*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*i**3 - 30 - 154*i**3 + 72*i**2 - 72*i**2 wrt i?\nAnswer: -306*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20010 greater than 20127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 9. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/6 (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 3*b**3 - b**3 + (-2 + 2 + 2*b**2)*(-5*b + 2*b + b) + 2*b**3 - 3*b - b**3 + 5*b.\nAnswer: -4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3357 + -3344. Let s(f) = 8*f**2 + 11*f + 6. Let t(i) = 17*i**2 + 23*i + 13. Determine g*s(c) - 6*t(c).\nAnswer: 2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4799 - -6163. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 8) + 9 - (-6518 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-10)*7945\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 20*d - 94. Let n be q(11). Solve c + n = 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. Let n = 16 - p. Suppose 0 = 3*m - 2*g - 4, -m = -n*m + 3*g + 6. Solve f - 5*f - 4 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4 - 17*i**2 + 15*i**2 - 6*i**3 - 2*i**2 - i - 5*i + 2*i**3. Determine n(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3463295648 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -154243?\nAnswer: 154243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-99138)\/(-234))\/((-3)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000319 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52957064.\nAnswer: 2, 37, 178909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 4, m: 1, d: 1, p: 6}. What is prob of sequence iii?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4\/5, -4543, -1\/5 in increasing order.\nAnswer: -4543, -4\/5, -3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(85) + sqrt(85) + (-1*sqrt(85) + sqrt(85) - sqrt(85))*-1))\/(-1*(sqrt(180) + sqrt(180) + (sqrt(180) - -2*sqrt(180)))))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 11*z - 45 = -3*i, -4*i + z + 57 = 0. Let s(v) = v - 17. Give s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 46, 164, 392, 766, 1322, 2096?\n\"Answer: 6*c**3 + c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24)\/g)\/g**(-8\/5) assuming g is positive.\nAnswer: g**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/18*p**3 + 1\/18*p**4 + 0 - 1\/60*p**5 - 11*p + 0*p**2. Suppose y(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/220)\/(2\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 37*s + 13*s = 258 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1442022 + 1442022 - 3797*j**3)*(-2*j - j + 5*j - 2*j - 4 + 4 + (5 - 4 + 0)*(1 - 1 + j) + 1 + 2*j - 1).\nAnswer: -11391*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 19438.\nAnswer: 1\/9719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 168 = 5*q. What is the smallest common multiple of q and 3*7*(3 + -2)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/20 + 3500\/4375)*((-224)\/36)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/6 + 27491263*q + 2267308624005507\/2 = 0?\nAnswer: -82473789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -69. Let g(z) = -15*z**2 - 3 + 15 + x*z - 5*z**2 + 6*z**2. Let q(b) = -b**2 + b + 1. What is -g(d) + 12*q(d)?\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - -1 - (-3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13749148 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49212.81us in hours?\nAnswer: 0.000013670225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 470, 808, 1134, 1442?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from kfkvikfvkkkvffivkv.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/300)\/((-140)\/(-9744))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 371 - 241. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = 2*i. Suppose 3*z = -w - i*w - 6, -4*z = -w - 11. Let j be -2*(-2 - (2 + -2)). Sort j, 3, w in decreasing order.\nAnswer: j, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-488)\/(-84)) + ((-102)\/(-272) - (-650)\/(-240))?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1992 and 1162.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.594 - 6.55. Let l = 0.044 - d. Which is the nearest to -0.1? (a) 11 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(528)\/((sqrt(96)*-1)\/sqrt(8)))\/(sqrt(396)\/(-2*sqrt(11))*6).\nAnswer: -5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 42*d + 672 = 0. Let l = 233 - d. Solve 4*w - l = 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40b80 + -2?\nAnswer: -40b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/18*(-6)\/(-2). Let j = -1 + 0. Suppose 2*g + 12 = -7*o + 3*o, 0 = 4*g + o - 11. What is the closest to n in j, -2, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14726.5 - -14724.04834. What is y rounded to two dps?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883842685 to the power of 1\/2, to the nearest integer?\nAnswer: 53701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21937 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7689)\/6524*(-4)\/66.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 2 - 48. Is 38 + (3 - z - 1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 171*n - 357. What is the units digit of t(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 4. Let p be q(-3). Which is greater: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsmu when four letters picked without replacement from {u: 1, t: 3, q: 2, s: 3, m: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5801, -20039, -42713, -73823, -113369, -161351, -217769?\n\"Answer: -4218*b**2 - 1584*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -882 - -881.9999643. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 8*(-1 + 2). Let t(d) = -3 - 2*d**3 + d**3 + 36*d**2 + d - 11*d**2 - 10*d**2 - 8*d**2. Calculate t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*s + 1090*s = 21 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 170 = -2*f, 2*m - 3*m + 68 = -655*f + 650*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70)*1)\/sqrt(2) + sqrt(35))*-3)\/(sqrt(15)\/(sqrt(3) + sqrt(27) + sqrt(3)) + sqrt(80)*2 + sqrt(80)))**2*4 + 2.\nAnswer: 32642\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26360 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(-19) assuming b is positive.\nAnswer: b**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198.18 + 210. Let b = t - 7.29. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676962131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -53*d + 1311. Solve -d*v + 72 = -21*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17600, -1\/3, -13.334?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 3*a**2 - 4*a + 5. Let w be f(3). Let i(j) = 31*j**2 - 7. Let m(y) = 10*y**2 - 2. Let l(k) = w*m(k) + 2*i(k). Let v(u) = u. Calculate l(v(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7009, 14017, 21037, 28075, 35137, 42229, 49357?\n\"Answer: i**3 + 7001*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -38, -71, -124, -203, -314, -463, -656?\n\"Answer: -u**3 - u**2 - 9*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9390*-2\nAnswer: 18780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 1 + 1\/24*s**4 + 0*s**3 + 27*s**2 + 0*s. Let l(x) = -55*x. Calculate q(l(v)).\nAnswer: -55*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 621 in increasing order.\nAnswer: 5, 13, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 4*h**2 + 3*h - 3. Let g be j(3). Let x be g - ((-4)\/(-1) - 2). What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16 and (19\/(-20) + 1)\/((-7)\/53).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -21*j**2 - 2 - 22*j**2 - 1 + 44*j**2 + 3*j. Give c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 + 319. Let t(m) = -3*m - 11*m + x*m + 26*m. Let b(i) = i - 13 + 13. Determine t(b(k)).\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1316*j**2 + 24*j + 100. Let c(r) = -376*r**2 + 7*r + 29. Give 7*a(h) - 24*c(h).\nAnswer: -188*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.674 - -0.164. Let t = -44.51 - y. Let b = 1.5 - 1.6. Is b bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -10\/27 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993392 (base 11) to base 5.\nAnswer: 401220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r - 577 - 7855*r**3 + 4*r - 5184*r**3 - 5*r wrt r?\nAnswer: -78234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216 + 4*q - 126 - 111)*(q**2 + 4*q**2 - q**2).\nAnswer: 16*q**3 - 84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39258 - -537320\nAnswer: 498062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/73461?\nAnswer: 2\/73461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85795102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 388452\/5 less than 77690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 123, 318, 673, 1242, 2079, 3238, 4773?\n\"Answer: 9*u**3 - u**2 + 29*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 13*z + 88. Calculate the lowest common multiple of 3453\/6 - (-3)\/(-6) and z.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74781.702 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*w - 518 - 11*w - 16*w + 82 - 2*w with respect to w.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose 2*u + 8 = 2*r + 4, 3*u = -x*r + 34. Find the second derivative of -12*i**3 + 12*i**u + 3*i**4 - i + 5*i wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, 6\/7 in ascending order.\nAnswer: -4, 6\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*r + 3*b, -b + 24 = 5*r - 26. Let p(w) = w**2 - 10*w + 34. Let a be p(r). Is 43 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-128)\/(-280))*(-24)\/20. Let n(w) = 2*w + 34. Give n(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 3\/10 (b) -0.2 (c) -1332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 707*f + 28 = 709*f, -9*b = 3*f - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-738)\/(-30) - (-4)\/10. Let b = g - -132. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 981479*u**3 - u**2 - 3483*u + 3 wrt u?\nAnswer: 5888874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 563 and 563 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Let l = -11.04 + 12. Let s = -0.04 - l. Which is the third biggest value? (a) s (b) x (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 22971, -6 in ascending order.\nAnswer: -6, -3, 4, 22971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/4*(3 + 11). Let r = 98 - j. Solve 2*z = r*z - 4*k, 0 = -3*z - 3*k - 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16\/445 (b) -4 (c) -1895\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 37638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 85, -0.4, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 27. Let b be g(-9). Is b <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 5*o**2 + 3*o + 6. Let k(u) = 2*u. Let s be k(-2). Let a be n(s). Suppose a = 4*d - 94. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 12540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.23 + 0.23. Let a = 13.00000032 + p. What is a rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-7) - -1840*13\/8736\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**5 + 28*a - 28*a - 27*a**2 wrt a?\nAnswer: -780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8) + (-110)\/(-4). Suppose 3*b - 23 = j + j, -3*b + j = -g. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -21*i + 28*i. Let o(f) = 2*f**2 + 16*f + 10. List the prime factors of o(i).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(20\/((-720)\/81)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**3 - 17*z**2 + 42*z + 17. Let a(b) = 1 + 23*b**2 + 2 + 7*b - 20*b**2 + 5*b**3 - 3*b**3 - 6*b**2. Calculate -34*a(m) + 6*w(m).\nAnswer: -2*m**3 + 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 + 2*u + (1 - 1 + 3*u)*(-2 + 2 - 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 11*k + 18*k - 7 = -8*k - 1 - 29, 25 = 5*n + 5*k for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/31 (b) -62406 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9483174865 + 1701720300. Let h = q + 7781454527.19999821. Let s = 37.8 + h. What is s rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 18, 60, 130, 234, 378, 568, 810?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 + 50*m**4\/9 - 10*m**3 + 10*m**2\/3 + 40*m\/9 - 8\/3 = 0. What is m?\nAnswer: -2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -25, -50, -75, -100, -125?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g - 24*g + 224. Let z = -92 - g. Let b = 39 + z. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6232 (base 11) to base 4\nAnswer: 2001013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*s = -4, -5*s - 8 = -s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5 (c) -12\/67 (d) -37 (e) -1\/25 (f) 2\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4968 + 16681. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11013600 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 61*f**2 - 555*f - 46. Calculate p(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924209 is divided by 27176.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + p = 4, 2*l + 4*p = 16. Let s = -3 + l. What is the third smallest value in 5, s, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525, 486, 455, 432, 417, 410?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/21)\/((-111)\/(-259)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let x(l) = -13*l + j + 11*l - 3. Let m(y) = y. Determine m(x(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2935\/11672?\nAnswer: -2935\/11672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -14, -30, -54, -86, -126?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o - 10170 + 8459 = o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2280523, -2280639, -2280759, -2280883, -2281011, -2281143?\n\"Answer: -2*j**2 - 110*j - 2280411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Let d(o) = o**2 - 5*o - 3909. Determine d(j(a)).\nAnswer: 4*a**4 - 10*a**2 - 3909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 797 + -801. Sort 1, 4, -3, g in descending order.\nAnswer: 4, 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 + -218. What is the remainder when 61 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 2*l + 6. Let m(q) = 4*q**2 + 11*q + 33. Let i(z) = 4*m(z) - 22*p(z). Let a(x) = -14*x**2. Calculate a(i(f)).\nAnswer: -504*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 4899.\nAnswer: -4894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 1. Let q be y(-1). Let p = -24 + 18. Let m = p + 1. What is the third biggest value in q, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/60 + i**4\/2 - 10*i**3\/3 + 2538*i**2. Give v(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 21*d + 41. Let p(k) = -2*k**2 + 10*k - 20. Let o(i) = -13*p(i) - 6*z(i). Does 6 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -48 - (-24 + (-2 - 2) + -10 + 23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 + 2*a + 7. Let r be p(-5). Let k be -18*(r - 3\/(-2)). Suppose 5 = o - k. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (430\/(-10))\/((-1)\/2*1)*2003\/4006\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or -65392?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.1 - 17. Let v = -18 + 17.9. Let c = u + v. Is c greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20 = -q - 4, -5*q = -2*p + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - p)*(-76 + 59*p + 76)*(-p - 2*p + 2*p).\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - f + 1. Let b(o) = -144*o**3 - 2*o**2 + 2*o + 121. Let p(i) = b(i) + d(i). Differentiate p(a) with respect to a.\nAnswer: -432*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/7*1*8\/60*28520\/(-8556).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h\/(h\/(h\/(h*(h**(-8)*h*h)\/h))))**22 assuming h is positive.\nAnswer: h**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -482051bb - 6?\nAnswer: -48205205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = y - 2*j, -23*y + 27*y - 21 = 3*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 = -0*w + y, -2*y - 61 = -5*w. Let c = w + 9. Suppose -b + c = -57. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -3*v - 7*d + 12*d, v + 5*d - 84 = 0. Calculate the smallest common multiple of 56 and v.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, v: 2, a: 3, w: 3}. What is prob of sequence wqqv?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6250492 is divided by 256.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252372 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.43 * 26629.\nAnswer: -91337.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -179661*x. Let y(r) = -23*r**2. Calculate y(g(d)).\nAnswer: -742395723183*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 - 46*b - 48. What is the smallest common multiple of 1606 and g(-6)?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*(-4)\/3. Suppose -5*j + 17 = w. What is the third derivative of h**2 - 4*h**2 + 3*h**2 - h**j - h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = -4*g - 2*x, 2*g + 4*x = -16. Let j = 8 - 31\/4. Let q = -2.107 + 0.107. What is the closest to j in q, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2. Let h(v) = -81*v. Give h(s(x)).\nAnswer: -567*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {p: 7, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 175, 163, 147, 127, 103, 75, 43?\n\"Answer: -2*f**2 - 6*f + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -3431?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {t: 6, e: 3, u: 2, g: 2, h: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = -4*q, 19*q + 2*g + 4 = 21*q. Solve -q*j + 0*j - 5*p + 8 = 0, -2*p = 2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 15 = 2. Let f(d) = d**2 + d - 22. Let m be f(s). What is m rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2 - j**5 + 2) - 3*j**5 + 3*j**5 - j**5 - 316 - 416 - j**2 + 130 + 4*j**5.\nAnswer: 2*j**5 - j**2 - 602","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 14) + 5 - -39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 11*g + 228. Calculate the lowest common multiple of m(28) and 22.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -654241*s**3 + 17*s**2 - 23698*s wrt s.\nAnswer: -3925446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = -3*j + 9, -4*b - 8 = 0. Let a = 457 + -453. Suppose j*l - a*l = 4. Solve 2 = -n + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1343080, -1343040, -1342974, -1342882, -1342764?\n\"Answer: 13*o**2 + o - 1343094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/385)\/((240\/42)\/(-20))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 13. Suppose -59 = 4*o - 15. Let s be b(o). Suppose 0 = u + u + s, -137 = -2*n + 3*u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177*25\nAnswer: 4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 742 (c) 2\/15 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -20130112?\nAnswer: -20130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3982.\nAnswer: 31856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - m - 32. Let s be c(-7). Let q be 3\/((-3)\/2)*(-129)\/s. Put q, -0.2, 2\/9 in ascending order.\nAnswer: q, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {d: 1, o: 7, y: 4}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = n, 29*n - 3*b + 4 = 31*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5592.663us to milliseconds.\nAnswer: 5.592663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(-1*3\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3299? (a) -0.2 (b) 0.361 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z = -5*b - 37*z + 35, 20 = 5*b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012212022021 (base 3) to base 5.\nAnswer: 414202403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 5*o + 4. What is the nearest to -1\/4 in o, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62152 or -62151?\nAnswer: -62152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/78 - 16\/(-3) - 0. What is the third biggest value in -2, 4, -1\/5, 32, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7938*o**5 + 38682*o**4 - 12946*o**3 - 38522*o**2 + 5008*o - 160 = 0. What is o?\nAnswer: -5, -1, 4\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/((-5)\/2). Let p = 14.9 - 15.9. Which is the second biggest value? (a) p (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**5 + 8*f**5 + 4*f**5 + (-2*f**3 - 2*f**3 + 2*f**3)*(4723 + 69*f**2 - 4723).\nAnswer: -135*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -6 + -4 + 3. Is 2\/x - 219\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 162*z**2 - 63*z - 63. Let n(l) = -13*l**2 + 5*l + 5. Determine -5*f(h) - 63*n(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16611, -31536, -46461, -61386, -76311, -91236?\n\"Answer: -14925*j - 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 539.07 times 196\nAnswer: 105657.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-143.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/2 - 11532*h**3 + 20810868*h**2 + 5203376784*h + 305388403416.\nAnswer: 3*(h - 3958)**2*(h + 114)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s + 6*s)*(-3 - 1 + 0 - 2*s).\nAnswer: -16*s**2 - 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-2)*40\/(-35). Suppose b - 2*g = 7, -2 = -4*b + 3*g - 8*g. Suppose -u*j - b = -7. Solve 2*h - j = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let i(p) = -25*p**2 - p - 324236. Calculate d(i(w)).\nAnswer: 50*w**2 + 2*w + 648472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8252\nAnswer: 1\/4126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4887852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42 + 41)\/(1\/(-5)). Suppose -79712 = -5*c + 3*s + 56655, -b*s = -c + 27291. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252834522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 4*r**2 + r**3 + 4*r**2 - 3*r**2 as h*r**3 + u + l*r**2 + i*r and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3018d (base 16) in base 4?\nAnswer: -300012031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -49?\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*g = 63, 192*g - 189*g + 68 = -17*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - -2. Let u = c - 0.1. Let x = -1.4 - 0.6. What is the nearest to u in x, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -2 - 8 - -4 - -5. Is (5 - -14)*(-2 + 3)*u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/7, -234 in descending order.\nAnswer: -0.1, -3\/7, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340796 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73372000 rounded to the nearest one million?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 28935?\nAnswer: 28933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = 3*z + 2*n, 0 = 5*n - 15. Solve -3 = -z*s + 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 161, 159, 157?\n\"Answer: -2*q + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*4\/8*2. Solve 2*y + c*y = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -61770423769604 - -18\nAnswer: -61770423769586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1910 - 1925. Which is bigger: -526\/35 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1393\/23681)\/(159\/51)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355928521 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 4*p**2 - p**2 + 0*p**2. Let n(i) = -9*i**2 + 2*i - 1. Let z(j) = 3*n(j) + 24*w(j). Factor z(f).\nAnswer: -3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546887 divided by -151.\nAnswer: 546887\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-8))\/((-2)\/8). What is the units digit of -8*q*-1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -528588 or -528579?\nAnswer: -528579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -8*m - 16*m - 813 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2 + 181*h - 18. Give d(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 0\/2 + 6. Suppose 5*i - u*z = -3*z + 32, 40 = 5*i - 5*z. Is 22\/i - 4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 3. Suppose 0 = -5*l + m, 0*z + 154 = 2*z - 4*l. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d - 59. Let c be h(-8). Calculate the greatest common factor of 63 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*x - 18 - 2*x**2 - 239*x - 236*x - 13*x**3.\nAnswer: -13*x**3 - 2*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 6 + -5 + 47. Let z = n - 38. Suppose -z*r = -24 + 3. Solve -1 = -2*q + r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*b + 0*b + 218 = 0, -a = b - 102. Find the second derivative of 5*k**3 - 71*k**2 + 6*k**4 - a*k + 71*k**2 wrt k.\nAnswer: 72*k**2 + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3452268718 - -0.4034\nAnswer: -3452268717.5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (5 - ((-3 - -3) + 3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -1735, -3900, -6931?\nAnswer: -10828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u + g + 113, -3*g = u + 42. Let k = -1 + 3. Let f be u\/6 + 3\/k. Let c(v) = 3*v - 2. Determine c(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -29. Let o = 353\/6 + -59. Which is the closest to y? (a) o (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.1 - -44. What is the closest to x in 2\/11, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -17) + -16 + (-10 - 0)*45\/(-108). Let d = -1 + 1.2. What is the smallest value in -31, -2, i, d?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 135 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aydekyo. Give prob of picking 1 d, 1 k, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/((g\/(g\/(g*g*((g\/(g*g**6))\/g)\/g*g*g)))\/g))**(-42) assuming g is positive.\nAnswer: g**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50801741 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/5, 0.032?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4212186 and -24\/829673.\nAnswer: 54758418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6862320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -3. Let h be g - 2\/(-1 + -1). Let c be h\/21*3\/2. Solve -5*d = 2*l - 14, c*l - 8 = -4*d + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -163*f + 6677. Give o(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 959504784*k + 57540589407430416 = 0.\nAnswer: 119938098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -185650 = -g*p - 2*p. Let z = p + 20870. Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1022 + 445. Let o = r + 566. Are -21 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 22*i + 1. Determine z(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3 + (-230)\/55. Let w = 4.3 + -4. Which is the second biggest value? (a) w (b) d (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f512d (base 16) to base 7\nAnswer: -11350410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 93048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:50 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*k**4 + 1 - 1 + (k + 2*k**4 - k)*(-3 + 4 + 0) + k**4 + 2*k - 2*k.\nAnswer: 7*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10293 + 784. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, 837, 3211, 7813, 15381, 26653, 42367?\n\"Answer: 123*p**3 + 7*p**2 + 2*p - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*t + 12 + 4, -3*r = -t - 4. Suppose 0 = -r*b + 2*m + 818, 0 = -2*b - 2*b - 2*m + 1114. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-238)*-17*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8777460 by 3.\nAnswer: 2925820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -64, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 41. Let f be u(22). Suppose 0 = 5*p + 2*d - 237, p - 2*d = 2*p - 49. Let t = p + f. Calculate the remainder when 87 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 24. Let v be g(-5). Let r = 19 + v. Which is smaller: -6\/5 or r?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81666 and 22757592?\nAnswer: 68272776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r - 8. Let p = 4 - -2. What are the prime factors of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9999906 + 8. What is s rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, -6.7, 5, -1\/3 in decreasing order.\nAnswer: 25, 5, 2, -1\/3, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 63. Let a = 2\/149 - 320\/1639. Sort a, -0.1, o in decreasing order.\nAnswer: -0.1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 151. Let d(b) = -5*b - 1. Let v(s) = -8*s - 2. Let z(o) = 2*d(o) - v(o). Calculate z(x(t)).\nAnswer: 2*t + 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.5 + -28.499914. What is z rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d**2 + 3*d - 3*d + d**2. Let k(x) = x. Give n(k(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4657073*s**5 + 1218915*s wrt s?\nAnswer: 93141460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 4*d + 12. Let p be h(5). Let c(x) = -x - 2*x + 4*x - 6 + p - x**3 - 2*x**2. Calculate c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54569 and 6107.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 85. Solve -5 = -4*v + g*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 701630?\nAnswer: 701630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3298 - c?\nAnswer: 3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*o + 10 + 1 = 0, 43026 - 42915 = -3*c - 14*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -49, -47, -4\/7, 5, 0.1.\nAnswer: -49, -47, -4\/7, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21\/w**(13\/5) assuming w is positive.\nAnswer: w**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 6. Let u be w(-9). Let n = -3 - u. Suppose -4*d + n = 3*k, -16 = 4*d - 4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -270*h + 266*h - 3 + 7. Put 1756, h, -4 in descending order.\nAnswer: 1756, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -27. Let q = k - 137. Let v = -11 + 7. What is the nearest to 0.1 in q, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -18 + (28 - (-1 - -2)) + -57.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 2, g: 1, e: 3}. What is prob of picking 2 f and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 35*j - 804. Let h be m(23). Let g = -152\/15 - -10. Which is the nearest to h? (a) 0.2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrjenr. What is prob of sequence re?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:01 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let c = k + 2. Suppose 3*q - 38 + 11 = 0. Calculate the least common multiple of c and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4247*v - 1442*v**4 + 146*v**2 - 1265*v**2 - 4247*v wrt v?\nAnswer: -34608*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 610, 974, 1330, 1642?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiliillililliiiiili. Give prob of sequence ll.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94218 and 18?\nAnswer: 282654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912660?\nAnswer: 2, 3, 5, 7, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68017987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 13 + -14 + -9 + -5 + 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from ssssssiiss.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2612056705\/21455613 - 451056\/3889. Let u = -11\/613 - b. Calculate the common denominator of u and 73\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178501 * 2222.\nAnswer: 396629222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.3. Let t = 0.2 + d. Which is the biggest value? (a) t (b) 2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 = -36*y - 12*y + 27 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5050 and 49144075?\nAnswer: 98288150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*q**4 - 706*q wrt q?\nAnswer: -4452*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364915891\/949 + -384527. Let n = -1\/73 - z. Which is greater: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 78*r**2 - 67*r + 942. Determine h(-79).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -0.2. Let u = 0 + -0.2. Let j = d + u. Is j at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 9. Let q be m(-6). Suppose -j = -0*j - 2. Suppose -j*c + q = -c. Let w(z) = -z + 3. Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*m + 412 - 72*m - 16*m - 18*m.\nAnswer: 2*m + 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose 0 = 2*w - q*w - 4. Suppose 0 = -w*p - l + 19, -2*p - 4*l + 36 = 14. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 10*a**2 + 15*a + 68. Determine p(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-40)*6 - (-37264)\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2134 - 2133.9. What is the nearest to a in -12, -8\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - w**2 + 2*w - 1. Suppose 4*s + 12 = s. Let u be (s - 24\/(-9))\/(4\/(-9)). Suppose 4*v - 7 = -u. Determine p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:14 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o - 4. Suppose -4*l + o*x - 25670 = 12330, -3*x = 0. Round l to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c - 7 + 1 - 2*c**2 + 6 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 3*r**2 + 2*r**2 + (-2 - 2 + 5)*(-3*r**2 + 4*r**2 + r**2) + r**2 - 2*r + 2*r + 30 + 2*r**2 - 30 to v*r + u*r**2 + s and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 - -453.9168. Let i = x + 0.0830015. Round i to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6271644, 12543295, 18814952, 25086615, 31358284, 37629959, 43901640?\nAnswer: 50173327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*c**2)*(2*c - 15*c**2 - 2*c).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/8 in 35.17, 0.5, 61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 30.5. Let v = r + 7. Suppose 2 = -2*d + d. What is the third smallest value in v, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) 2\/103 (c) -3\/4 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 7. Let p be u(4). Suppose 25 = 5*w + 5*x, w = 2*w - 4*x + p. Let c be 2 - (0\/3)\/1. What is the biggest value in -1\/3, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -41. Suppose 3 = 8*z - 13. Put i, z, 0 in decreasing order.\nAnswer: i, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(0 + 0 + 2*j) - 4*j**2 + 2*j**2 + j**2 + 2 - j**2 - 2 + (2*j - j + j)*(-4 + 4 - j) - j**2 + 3*j**2 - 4*j**2 - j**2 + 0*j**2 + 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (-28 - (-3 + (-14 - -7)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let m be ((-24)\/(-48)*4)\/(-2). Let t(u) = -8*u**2 + 4*u. Give m*t(d) - 3*o(d).\nAnswer: 11*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 104. Let s(u) = 11*u**2. Determine s(g(y)).\nAnswer: 396*y**2 - 13728*y + 118976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x + 2890 = -92*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 + 265. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*p - 115*p - 12 = 0. Let x = -0.57 + -2.33. Let m = x + 3. Sort 2\/9, p, m.\nAnswer: p, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-224)*(-21)\/(-6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t - 29*t - 1 + 1.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f - 28*f + 589*g - 582*g + 4, -3*f - 17 = 5*g for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 13 in decreasing order.\nAnswer: 13, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4950890 is divided by 1650294.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -446608 divided by 4336\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -3 (b) -3\/2 (c) -5 (d) 5 (e) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*h + 2*i + 3*i, 4*h = 5*i + 25. Let s be 40\/(-1 + h + 2). Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 463, 478, 503, 538, 583, 638?\n\"Answer: 5*w**2 + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 48*p**2 + 2*p + 2. Let a be n(6). Let z = a + -674. Suppose -5*i - 7*i = -z. What is the remainder when i is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 22849.\nAnswer: 11\/22849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-14))\/1)\/(-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)*(3 - 0). Let v(p) = -p**3 - 3*p**2 - 3*p + 2. Let o be v(j). Suppose -207*m = -194*m - 1001. Calculate the greatest common factor of o and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 0) + (141 + -151 - (-12 + -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2278\/(-68) + 40)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w. Let m(s) = -25*s**2 - 4*s**2 - 2*s**2. What is m(g(h))?\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15007 - 0.077?\nAnswer: 15006.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-66)\/8 + 0)\/(213\/(-568)). What is the derivative of 19 - 14 + 29 - 12 + s - 75*u wrt u?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, 5996 in descending order.\nAnswer: 5996, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.38 + 0.02. Suppose 4*t - 30 = -0*t + 5*m, -4*t - 5*m = -10. Let u be 49\/(-28) + (-1 - (-1 + -2)). What is the nearest to 2 in u, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4140 divided by -230.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(1\/(-6)). Suppose -v - 36 = l*v. Let r be (2\/3)\/((-2)\/v). Solve -r*c = -0*b - 5*b + 6, -5*c + 2*b - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175284 divided by -87642.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -264, -381, -488, -585?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0154 and 102978158.3.\nAnswer: 102978158.2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24\/4*(-2)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73843 - 28026. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + -1 + (11 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ab0c + 1?\nAnswer: 1ab0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/23, 5, 1\/8, 0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f**2\/f))\/f)*(f\/(((f\/(f\/(f**(1\/3)*f)*f))\/f)\/f))\/f)**(-3) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2468 + 904 = 0. Let o = -389 - v. Solve 5*f - o*i = 4 + 1, -3*f + 5*i = 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -3\/7766?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41676551 take away 24?\nAnswer: 41676527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288749 and 597?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 + 14 + 303*n - 3*n**2 - 5 - 318*n. Let u be d(3). Solve -5*o + 4*o - 4 = u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9546862 by -1.\nAnswer: -9546862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 10*q - 4. Let f be l(4). Suppose f*v - 104 = 4*z, -5*v - 32 + 162 = -z. What is the remainder when 153 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/7 + 415*u**2\/7 - 46000*u\/7 + 600000\/7 = 0. Calculate u.\nAnswer: 15, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -21. Suppose -f = -y - 1. Let l = y - 29. Calculate the least common multiple of 29 and l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301216923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-90)\/(-112))*(-1620)\/720.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2 + 25*u - 45. Let w(b) = -8*b**2 - 12*b + 23. Let c(z) = -3*p(z) - 5*w(z). Factor c(x).\nAnswer: -5*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 181332977?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 5*d + n = -7833, 5*d - 5*n - 13055 = 0. List the prime factors of d.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744461*s**2 - 1183*s + 506.\nAnswer: 1488922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 115. Let i be h(0). Let a = 106 - i. Let j(s) = -s + 7. Let m be j(8). Is a bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - u**3 + (61*u**2 - 11*u**2 + 79*u**2)*(2*u - 4 + 4).\nAnswer: 257*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8721.8 - 8722. Which is the nearest to -11? (a) -0.4 (b) -4\/3 (c) 2\/11 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*o - 176*o = 4. Is ((-760)\/16 + -7)\/(o\/(-2)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypllj. Give prob of sequence ljp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -401*q**6\/120 + q**5\/30 + q**4\/24 + 391*q**3\/6 - 10*q**2 + 3. What is the second derivative of f(b) wrt b?\nAnswer: -2406*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5610 and 2465.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.99999998 + 7. Round b to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*s + 2)*(0*s**4 + 2*s**4 - s**4) - 6*s**2 + 6*s**2 - 5*s**5 + (-3*s**3 + 0*s**3 + 4*s**3)*(0 - 2*s + 0)*(-20 - 17 + 35)*(2*s + 5*s - 2*s).\nAnswer: 17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-10) + ((-8)\/5)\/4. Solve 161 + u*k**3 + 25*k**2 - 168*k - 9*k**3 - 17 = 0 for k.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9949\/8 + 1249. Let u = p - 41\/8. Solve u*w**4 - 1\/2*w**2 - 1\/4*w + 1\/2*w**3 + 1\/4 - 1\/4*w**5 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 12 = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1}. Give prob of sequence pi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2648 (b) 25.7 (c) -2\/9 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29203*g**2 + 52106*g**2 - 121582*g**2 + 37464*g**2 + 29731*g**2 to u + h*g**2 + z*g and give h.\nAnswer: 26922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (1 + -2 - 1) - -4. Suppose -v - i*v + 685 = 0. Round v to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10984 + 10984. Solve -x - 4*q + 17 = y, -x - 10*q + 13*q - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-9) + 8\/12. Let y(f) be the first derivative of 0*f + 2\/3*f**3 + 0*f**a - 2 - 2\/5*f**5 + 0*f**4. Find x such that y(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 68134 in increasing order.\nAnswer: -4, 4, 68134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-5\/6))*w**4)**(-38))**(3\/25) assuming w is positive.\nAnswer: w**(-361\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(2499\/714)\/(70\/24)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666489063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 30800, 0.2?\nAnswer: 30800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68407259*i**2*q - 11315*i*q - 155*q wrt i?\nAnswer: -136814518*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 5. Suppose 0 = 4*g - 3*c - 14, -3*c + 8 = 3*g - 13. Suppose 4 = g*w - 1. Let b(q) = 1 + 1 - 3. Determine w*t(h) + 6*b(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 96 = 3*h, -2*d + 3*d - 88 = -5*h. Suppose 5*p - 2*m - d = 0, -2*p + 27 = -m - 11. Solve c - p = -4*w - 4*c, c = -w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Let s = 3.2 + -4.2. Which is the nearest to 0.1? (a) s (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 + b + 5*b + 5*b**3)*(-1212*b - 1196379 + 1196379) as g*b**2 + u + r*b + q*b**4 + o*b**3 and give q.\nAnswer: -6060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*k - 8*k + 2084 = 0, -5*p + 5254 = -k. Is 75 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in 4\/101, -1, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g**2 + 1581. Let q(a) = 3*a**2 + 519. What is 4*k(j) - 13*q(j)?\nAnswer: j**2 - 423","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59995, -119445, -178883, -238303, -297699, -357065, -416395?\n\"Answer: j**3 - 59457*j - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210122 (base 3) to base 14.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(20)\/(sqrt(24)\/sqrt(6)) - ((sqrt(40) - sqrt(360)\/sqrt(9)) + sqrt(40) + sqrt(40))\/sqrt(8)) + (-4*sqrt(15)*1)\/(1*sqrt(3)*4 - sqrt(3)).\nAnswer: -7*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = -3*q, 10 = 3*h - q. Suppose 3*f + f - 56 = 0. Factor -6*k**h + 9*k**3 - 7*k**3 + f - 6.\nAnswer: 2*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 929*t + 6368. What is y(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 891576 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.291606514 rounded to 4 decimal places?\nAnswer: -0.2916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.7 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87855.35 litres to millilitres.\nAnswer: 87855350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39861309 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {x: 6, q: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 143\/(-7))\/((-128)\/(-448)). Let s(g) = -4*g**3 + g**2 - 2*g - 1. Let r be s(-2). Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a + 10. Let z be v(5). Let g = 17 - z. What is the third biggest value in -5, g, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*c**2 - 8*c**2 - 6*c**2)*(2 - 3 + 3)*((-4*c + 0*c + 5*c)*(2 + 3 - 4) + 2*c + 2*c - 2*c).\nAnswer: -174*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 694 - 130. Do n and 562 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 8502.\nAnswer: 8502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(567) - (sqrt(567) - sqrt(567)*-2) - sqrt(567) - sqrt(567)) + 5 + sqrt(35)\/sqrt(5))**2.\nAnswer: -43000 + 1750*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316 and 6?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {l: 7, u: 2, e: 4, m: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**3 - 18*w + 2. Let m(n) = -5*n**3 + 6*n - 1. Let s be (-1)\/(-2) - (-15)\/6. Let c(z) = s*l(z) + 10*m(z). Factor c(x).\nAnswer: -2*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -2*m. Suppose -5*j - 8 = -53. Let p = m + j. Solve -4 = -4*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r**2 + 2*r**2 + 2*r**2 - 27 + 0*r**2 + 8*r**2 + r**3 + 24*r. Let x be v(-9). Solve 0 = 12*m - x + 48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 56 (c) -66 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 + 1940*k**2 + 3895*k + 1950 = 0?\nAnswer: -1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1088\/272*(-11)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**2 + 44058*x\/5 + 12122\/5.\nAnswer: -2*(x - 551)*(40*x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2 - 61. Let j = -3 - -3. Suppose j = s - 15 - 6. What is the greatest common factor of m and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/21 + 8 + (-253)\/33. Which is smaller: 11\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + -1)**2*-5*-2*3.\nAnswer: -360*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868722 is divided by 818.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 - 2*m - 4. Let y(h) = 11*h**2 + 3*h + 7. Give 5*n(t) + 3*y(t).\nAnswer: 3*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h + 3*d, 3 = 3*h - d + 11. Let l(g) = -g**3 - 7*g**2 + 7*g - 11. Let i be l(-8). Sort h, -4, i in descending order.\nAnswer: h, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 353, 508, 643, 752, 829, 868?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from iitsr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 652.66 to zero decimal places.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5460 - -1651. Let u = x + 2479. Round u to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60641, 60712, 60783, 60854, 60925, 60996?\nAnswer: 61067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 44. Let c = r + -129. Is -1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let l(f) = 1459*f**2. What is l(z(w))?\nAnswer: 5836*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25303947 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(396)*1 + -2 + -3 - (sqrt(396) - sqrt(396)*1*-5)*1)*-2)**2*-1.\nAnswer: -39636 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1132 - 0.4.\nAnswer: -1132.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 18*g - 3. Let b be c(3). Suppose f - b - 26 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60\/1211 + 5577675\/20587. Let z = 271 - l. Let q = -0.9 - -0.4. Put 0, 0.5, q, z in increasing order.\nAnswer: q, 0, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -98. What are the prime factors of (-558)\/(-6) - (y\/2 + 4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274 and 337294?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let t(j) = j**3. Suppose 0 = -10*m - 2 - 18. Let h(b) = 3*b**3 + 1. Give m*t(p) + n*h(p).\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y + 2*v, -4*v - 23 = -5*y - 7*v. Let q = -21 - -26. Suppose 13 = q*f - 82. Solve i - f = 3*z, y*z + 8 = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117712 and 12612?\nAnswer: 353136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3\/(-6)*-36. Suppose -l + x = -4*l. Does 22 divide 66*(-3 + (-22)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:35 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*k**4 - 2*i**3*k + 47*i**3 + 10*k**4 + k wrt k.\nAnswer: -36*i**3*k**2 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(12) + -4)**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 9*t**2 - 2*t - 6. Let j be c(-6). Suppose 0 = -4*z + z + j. Is (-5 - -1)\/(-8)*z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20)*-4)\/(192\/(-24864)*(-7)\/1)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j + 2 - 7*j - 4*j. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27438 divided by -55.\nAnswer: 27438\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 4*b - 9. Let f be n(-6). Suppose f*v + 2486 = -475. Let k = v + 2246. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71cb66 - 163?\nAnswer: 71ca03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 10*d - 11. Let h = 113 - 77. Let v = h + -28. Let u be q(v). Let j(k) = k**2 - 2*k - 6. Calculate j(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - (sqrt(150) - sqrt(150)*2)) + sqrt(150))*4)\/(sqrt(3) - 1*sqrt(300)) + -5.\nAnswer: -20*sqrt(2)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -50*d - 64. Let b be c(-10). Suppose -5*y - 1 = -2*u + 189, -4*u + b = 4*y. What is the remainder when u is divided by 24 + (0 - (-1 - -3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-3)*(-20547)\/(-10654)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47347818 rounded to the nearest ten thousand?\nAnswer: -47350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 + 186*p - 205. Let g be j(22). Let c(f) = -f**2 + 66*f - 759. Determine c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(8\/(-6))*2. Suppose 0 = b*p + 20 - 5. Let a(q) = q**3 + 5*q**2 - 4*q + 2. Calculate the remainder when a(p) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25903, -25940, -25979, -26020?\nAnswer: -26063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869556\/33 - (790\/110 + -7)?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18081202\/189 + 95668. Let c = 6641\/378 + b. What is the common denominator of c and 57\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 0. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 1457754*b + 1457754*b - 4*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -730 divided by -730\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2462 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x**2 - 7*x**2 - 13*x**2 - 2*x**2 - 13*x**2 - 3.\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 2*t - 1. Let k be x(4). Suppose 1 = -k*v + 85. Let m = v - 9. Let i(o) = -o - 3. Let z(w) = -2. Calculate m*z(p) - 2*i(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*t + 3*h, -2*h = -3*t - 5*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*x - 19668 - 36206 = 228*x + 216*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*d - 86. Is (-16)\/d*3 - -269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31341.\nAnswer: 3, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1429, 2763, 4095, 5425, 6753, 8079, 9403?\n\"Answer: -m**2 + 1337*m + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let a be 4\/((-24)\/(-9))*2. Let k(o) = o**3 - 2*o**2 + o - 2. What is the least common multiple of k(a) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2*m**3 - 2*m**3)*(0*m**2 - 6*m**2 + 2*m**2 + (-m - 4*m + 2*m)*(-3 + 2*m + 3)).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2238*w**5 + 4794*w**2?\nAnswer: -134280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-15))\/(-1))\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1598 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**2*x - 2*s**2 + 3*s*x - 98*s + 21419*x + 39 wrt x?\nAnswer: s**2 + 3*s + 21419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287519 less than 0.0328?\nAnswer: -1287518.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 22*m**3 + 28*m**2 - m. Let i(q) = 7*q**3 + 9*q**2. Let j(x) = 14*i(x) - 4*s(x). Factor j(z).\nAnswer: 2*z*(z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) 38661 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let t = -3 - u. Suppose q - 1844 = -t*q - 5*l, 3*l = -15. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297230609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbk when four letters picked without replacement from {k: 10, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-28 + 40 + -8 + -97)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 8 + 324*k + 3 - 11)*(-1 - 1 + 0) in the form p + u*k and give u.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12671 (base 12) to base 4\nAnswer: 12020311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 2*l - 2685 = -2856, -5*y + 4*l - 135 = -0*l for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:36 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*q**3 - 21*q wrt q?\nAnswer: 744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.158 - 8.968. What is the third biggest value in x, 0.4, 3\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.907 + 56. What is s rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 + 2258 = 507*n - 981*n + 503*n for n.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.530842 + 5.53. Round c to 5 decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77\/2 - -39. Is b at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 1*sqrt(84))*-4)\/(sqrt(12) - 2*sqrt(588)) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477643 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 4. Solve b*o = 2*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 34190*p**2 - 3220487*p + 75733356.\nAnswer: (p - 47)**2*(p + 34284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 824.3410468 + 464\nAnswer: 1288.3410468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 = 2*y. Let a be 4\/y + (-4)\/6. Let s = a + 2. Solve -s = 2*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 360, 536, 710?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (sqrt(539) - (2 + sqrt(539)))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 725 - 738.92. Let z = -13.919999253 - v. Round z to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2317*h*p*y**2 - 1233*h*p - 2*p*y**2 - 3*p*y + 471824*p - 4 wrt h.\nAnswer: -2317*p*y**2 - 1233*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.117743001 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2911103 - 8?\nAnswer: 29110a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226*n**3*z + 3*n**3 - 2*n*z**2 + 2070*z**2 wrt n.\nAnswer: 678*n**2*z + 9*n**2 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7.5. Let z = 0.2 + -0.2. Let o = 0.1 - 0. What is the closest to o in 3\/2, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16797*o**3 + 8869*o**3 + 9738*o**3.\nAnswer: 1810*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 12\/17, -5, -7 in decreasing order.\nAnswer: 12\/17, -0.09, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/22 and (-543)\/54 + 2*1?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let q(m) be the second derivative of m**3\/2 - 47*m. Calculate w(q(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 + -1 + (-36 + -62 - 24).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1025*p**2 + 15*p + 1037*p**2 - 18*p - 2036*p**2 + 4 as r*p**2 + k + w*p and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 35. Let l = k + -4. What is the third biggest value in l, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uquuuuuuuuquuuuuuuu?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from rfrrrrrr.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 54.99999705. What is k rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, g: 7}. Give prob of sequence jg.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = v + 10, -4*s = -3*v + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 396 = -13*t. Let k(f) = -20*f**2 + 5*f. Let q(d) = d**2 - 8*d - 4. Let n be q(8). Let y(m) = 7*m**2 - 2*m. What is n*k(c) + t*y(c)?\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2549*y**2\/2 - 3459*y + 3315. Find the first derivative of w(j) wrt j.\nAnswer: -2549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/2 and (-3)\/6*2 - (-63)\/351?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11779 and -0.032.\nAnswer: 11778.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -162*d + 4 - 1 + 158*d + 3*d**2. What is the remainder when s(-4) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 688 + 0*g**6 - 688 - 9*g**6 - 81*g**2 wrt g?\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457.5582mg to grams.\nAnswer: 0.4575582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = -12. Let p(w) = w - 23. Let v(z) = -5*z + 95. Let c(m) = -18*p(m) - 4*v(m). Let t be c(i). Solve 3*q = -g + 13, -t*g + 5*q = 24 + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.64166 + -0.03.\nAnswer: -106.67166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 6144.\nAnswer: 55296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 1091*j**4\/3 - 363*j**3 - 2*j**2\/3 = 0. Calculate j.\nAnswer: -2\/1091, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12695 and -61\/284490.\nAnswer: 722320110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1973, -15753, -53261, -126395, -247053, -427133?\nAnswer: -678533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by 27\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ab705b (base 13) in base 12?\nAnswer: 142b538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7 = -5*c. Let q be 0 + (-16)\/20*-6. Let k = -5 + q. Put c, -2, k in descending order.\nAnswer: k, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from fffeafaffzyaef?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j - 2. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.98 + 45979212030.\nAnswer: 45979212034.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 7*z - 5. Let w be s(8). Factor -3*r - 7 - 7*r**2 + r**2 + 7 + 9*r**w.\nAnswer: 3*r*(r - 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2471.007s?\nAnswer: 2471007000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 68 - 64 + 76*y**3 - 74*y**3 + 2*y**2. Let l(m) = -2*m**3 - 2*m**2 + 5*m - 3. Let w = -8 + 13. Calculate w*g(s) + 6*l(s).\nAnswer: -2*s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14f3e (base 16) in base 8?\nAnswer: -247476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44856589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103b6c (base 15) in base 8?\nAnswer: 2743755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 3*h + 64, 2*v = 3*h - 439 + 387 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251494 is divided by 125745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 9 = -47. Let f = 3 - 4. Put f, -4, r, 4 in descending order.\nAnswer: 4, r, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 30. Sort -3, h, -5.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130*(-49)\/14014*(-12)\/10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51661.6ms in microseconds?\nAnswer: 51661600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19241021981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 12\/(2 - -1). Let k be u\/((-14)\/(-4)) + 2. Suppose -8*w - 20 - 12 = 0. Which is the closest to 2? (a) k (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**34)\/y*y*y\/(y\/(y\/(y**(1\/7)\/y))) assuming y is positive.\nAnswer: y**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 1\/2*z**3 + 0*z**2 + 0*z**4 + 14*z - 1\/20*z**5 + 0. Find the second derivative of n(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308169099 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**9\/504 + 241*s**6\/120 - 7*s**5\/4 + 280*s**2. Find the third derivative of p(d) wrt d.\nAnswer: -120*d**3 + 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*16\/56*(1 + -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 0, 8 = -3*d + 2*i + 50. Calculate the remainder when 142 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.003573638 - 4.\nAnswer: -3.996426362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -3*z, -4*u + 45 = u + 5*z. Suppose -5*t + 1385 = 2*k + 3*k, 2*k = u. What is the remainder when t is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 5*x - 4*x. Suppose 6 = -3*v, 4*v + 8 = 3*z + 3*v. Let y(m) = -m - m**z - m + 2*m. What is w(y(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(170 + 366 - 244)*(o + o - 4*o)*(1 + 0 + 1) to l + m*o and give m.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unvfwnvaffvwfnwfff. What is prob of sequence fua?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198101347?\nAnswer: 193, 6207779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose 0 = n*u + 12 - 0. Let s be 63\/6 + 2\/u. Solve -3*j = s + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 11\/3*t**3 - 6*t**2 + 0*t + 1. Find the second derivative of n(u) wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25187 (base 15) in base 14?\nAnswer: -31269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*a**2 - 8*a + 27*a**2 - 12*a**2 as d + f*a + c*a**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/5 in 0, 0.023, -8\/3, 1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6297393.\nAnswer: 3, 43, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 156, 148, 140, 132?\n\"Answer: -8*b + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sst when three letters picked without replacement from ttssts?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 208, 426, 644?\n\"Answer: 218*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let s be (-1 + (-3)\/z)*2. Let q = s - -9. Solve y + 2*y = -q*o + 2, -y = 4*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 2*u - 1920. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29121a (base 13) to base 8.\nAnswer: 3645321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaeoeoe. What is prob of sequence aooo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 8. Let s be u(7). Suppose -3*q - s = -5*q. Is (q\/(-5)*7)\/(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*-1*((-183)\/(-21) - 10). Sort q, 4, 14 in increasing order.\nAnswer: 4, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = j - 0*j + 1, -4*j + 3*h + 22 = 0. Suppose m - 936 = -j*m. Is 42 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:48 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.62072 - -23.61712. Let m = k - 23. What is m rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 20. Let p be (-1)\/d - (-26)\/8. Let j(a) = a**3 - 3*a**2 + 2*a + 4. Let r be j(p). Solve 4 + r = 5*w + 4*s, -w - 1 = -3*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -5) + (26 - 29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = 1. Suppose -i + a = 0, 2*i - 2*a = -b*i + 9. Solve -i*l - 8 = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1 + -2*(sqrt(75) + sqrt(75) + 2 + sqrt(75)))*2)*3)**2.\nAnswer: 5400*sqrt(3) + 97425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 790 in increasing order.\nAnswer: -5, 0, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/14 + 2\/7. Does 15 divide (-3)\/(s - 64\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5746, -5737, -5714, -5671, -5602, -5501?\n\"Answer: r**3 + r**2 - r - 5747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221103 is divided by 7370.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*x = 12, -10*x = -7*x - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 35*b + 94. Determine z(22).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 11*x**2 + 5*x - 1. Let k be 96\/(-8) - (-9)\/3. Let w be (k\/6 + -1)*-2. Let d be l(w). Is -16\/7 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -5 (b) -9 (c) 24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -524\/54311?\nAnswer: -524\/54311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*a - 51, 3*u - 4*a - 40 = 6. What is the remainder when 81 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59597 - 7*w + 29710 + 29887.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*i + 1025, -1004 = h - 5*h + 4*i. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {r: 2, t: 2, p: 1, n: 1, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7 + 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) -5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3071910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 103, 44\/85, -3\/2?\nAnswer: 44\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 408. Calculate the lowest common multiple of 14 and o.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33141*272\nAnswer: -9014352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let o = 2 + g. Let b(p) = -p**3 - 7*p**2 + 6. Let q be b(-7). Solve -3*r - q = 0, -1 = -2*f + o*r + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(567))**2 + 0) - (-2 + sqrt(700)*3)**2.\nAnswer: -5737 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 2*c**2 + c**2 + 0 in the form n*c**2 + h*c + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1281644*j + 18001562.\nAnswer: -1281644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734325*c**3 - 369235*c**3 - 367651*c**3.\nAnswer: -2561*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6026 + 6083. Is 50 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -864, -907, -954, -999, -1036, -1059, -1062, -1039?\n\"Answer: x**3 - 8*x**2 - 26*x - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**3 - 956*c**2 + c**3 - 3*c + 964*c**2 to the form f*c**2 + j*c**3 + q*c + x and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/6593 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14033332 (base 5) in base 13?\nAnswer: 500c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 124 - 7*a - 124.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/21))**8 assuming n is positive.\nAnswer: n**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4998, 19992, 44954, 79854, 124662, 179348, 243882, 318234?\nAnswer: 402374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k + 89*k = -5*o - 2, -3*k = 3*k + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -197. Calculate the least common multiple of 175\/4 + (-138)\/i + 6 and 68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-15))\/(4\/(-10)). Let p(m) = 5*m**2 + 7*m - 7. Let x(t) = -3*t**2 - 4*t + 4. Let s(r) = f*p(r) + 7*x(r). Let l(n) = -n. What is s(l(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -90*d**3 - 1 - 2*d - 3*d**2 + 5*d + 89*d**3. Let j be x(-4). Let g be -3 - (-6 + j) - 45. What is g rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1332*4*6\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/52 - (-110577)\/(-561782).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7149 is divided by 1013?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21242677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13502\/6 - (-88)\/(-66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 11*r**2 - 12*r + 10. Let h = -58 - -48. Does 9 divide l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3465 + 3?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.3 (b) -8 (c) -302 (d) 3 (e) 9\/2 (f) 0.19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6\/15 + (-476)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. Let h(p) = l*p + 0*p - 4*p - 3*p. Let x(y) be the first derivative of -y**3\/3 + 1. Give x(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2778, -2612, -2464, -2334, -2222, -2128, -2052?\n\"Answer: -9*p**2 + 193*p - 2962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (29394\/(-191061))\/(2*1\/(-884))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b. Let p be i(2). Suppose -n - 2*n - p = 0. What is the units digit of n*1\/2 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20.00000014. Round y to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723743?\nAnswer: 151, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*504\/180?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203299386?\nAnswer: 2, 3, 37, 915763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359793.\nAnswer: 3, 7, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 4. Let a be m(8). Calculate the remainder when 45 is divided by (-1 - 0)\/(343\/a + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(27) - sqrt(3)))\/(sqrt(98)*2).\nAnswer: sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 14 + -20 - -21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, t: 5}. Give prob of sequence xtx.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*z = 3, 0 = 6*q - 3*q + 4*z + 41. Let m = 55 - 163\/3. Which is the nearest to -0.1? (a) m (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 117 + 109 + 108 + 7*y - 343. Let v be (2 + 0)\/2 + 3. List the prime factors of l(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321443021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -27*r**2 - 7*r + 6. Let y(w) = w**2 + w - 1. Determine a(j) + 6*y(j).\nAnswer: -21*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {r: 1, e: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4861 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21658618*f**6*l + 21693*f**2 - 4*f - 2*l wrt f.\nAnswer: 2599034160*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14723397, 29446791, 44170185, 58893579?\n\"Answer: 14723394*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - -87. Calculate the greatest common divisor of 69 and t.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpcpcpcpptcccccccp. Give prob of sequence ct.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/27 and -22\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*i - 13. Let a be (i\/24)\/(4\/30). Suppose -4*t - 5*d - 15 = 2, 5*t + 2*d = -17. Put 1, t, a in increasing order.\nAnswer: a, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -121*k + 93. Let h(g) = 240*g - 156. Determine 3*h(s) + 5*i(s).\nAnswer: 115*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z - 12. Suppose -z*u + d + 149 = 0, 8*u - 5*d - 145 = 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)\/(0 - -2). What is the closest to h in 3\/8, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1354.\nAnswer: -1354.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z + 15. Let c(g) = 11*g - 31. Give -6*c(f) - 13*d(f).\nAnswer: -f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 + 16*r**4 - 6*r**3 - 184*r**2 + 224*r + 384.\nAnswer: -2*(r - 4)**3*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43654 is divided by 2123.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 286723.5 to the nearest 1000.\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9213577181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = 5*s + 2, 0 = -2*s - 3*y - 11. Do s and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723136.5ml to litres.\nAnswer: 723.1365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 11*v - 25. Let y = 2 - 4. Let b = y - v. Solve -2 = b*d - 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 - 27*a + 67. What is s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/52 and -101\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - w - 5 = 45*m, -5*w - 25 = -2*m. Suppose 1 = -f - 1. Which is the closest to 1\/4? (a) f (b) m (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51730518 divided by 6.\nAnswer: -8621753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393211, -786485, -1179819, -1573213, -1966667?\nAnswer: -2360181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (138\/15 - 1) + 1\/(-5). Solve -3*c - r = -c + 7, 2*c + 2*r + l = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 1120*b + 62720.\nAnswer: 5*(b - 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25336 - -130?\nAnswer: 25466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 93560392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/6 - 24*j. Let s be 1\/(-2) - 3\/2. Calculate y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 0, -31, -96, -207, -376?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26165 + -24101. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -597*x + 6. Let q(h) = -6*h - 1. Determine a(m) + 6*q(m).\nAnswer: -633*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -514027, -1028046, -1542065, -2056084, -2570103?\n\"Answer: -514019*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 666 + 518. What is the lowest common multiple of 6 and t?\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 + 5*c - 5. Let n(d) = -2*d - 3. Let s be n(-4). Let y(k) = -2*k**3 + k**2 - 4*k + 4. Determine s*y(p) + 4*r(p).\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**5 + 201*j**4 + 1155*j**3 + 363*j**2.\nAnswer: 3*j**2*(j + 11)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 17, 3, -31, -91?\n\"Answer: -x**3 - x**2 + 10*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {i: 6, b: 1, d: 10}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -34655, -4, 5 in decreasing order.\nAnswer: 5, 3, -4, -34655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/20 - g**4\/2 + g**3\/6 - 7*g**2\/2 - 4*g. Suppose 234*f - 60 = 224*f. What is y(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1683)\/9)\/(-11)*3\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a. Let j(r) = 7*r**2 - 1 - 3 + a - 1 + 9*r - r**3. What are the prime factors of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c - c + (0*c**2 + 3*c**2 - 4*c**2)*(0*c - 4*c + 3*c) - 3*c**3 + c**3 + c**3 + (41*c**2 - 19*c**2 + 29*c**2)*(-1 + 1 + c).\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88 - -4?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, v: 4, z: 5}. Give prob of picking 2 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7879053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.02?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 11. Let r be q(-9). Suppose -t = r - 4. Factor 1 + 2*g + t + g + g**2 - 1.\nAnswer: (g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203*u - 80 - 200*u + 5*u**4 + 306 wrt u?\nAnswer: 20*u**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1870 and 14146.\nAnswer: 1202410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18\/5 (b) 3 (c) -52 (d) -22 (e) -5 (f) 7 (g) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 2. Let c be r(-2). Let d = -1.8 - -2.7. Let m = d + -1. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11484.876845 + 0.5.\nAnswer: -11484.376845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:55 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) 1 (b) -4 (c) 0.8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86942 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1883*m - 2962583 + 2962583)*((3 + 0 - 2)*(3 + 2 - 6) - 3 + 5 + 1).\nAnswer: 3766*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/12)\/((-714)\/(-459))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 758750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**2 - 495*g + 252. Let m be z(-83). Let o = -6 + 10. Which is the third smallest value? (a) -6 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvlqdlvqvdvvdvv. Give prob of sequence ddqq.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47399157839 + -3554997713773\/75. Let d = w + 811695. Let c = 34\/25 - d. Calculate the common denominator of 31\/3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7823\/9 - -869. What is the fourth smallest value in -5, o, -1\/4, 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + (-36)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 42?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349951393?\nAnswer: 11, 31813763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 16*j + 49. Let f be r(-5). Solve -5*m - 3*q = 0, -3*m + 0*q + f = -2*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8225172?\nAnswer: 2, 3, 76159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. Let o(l) = -6*l + 1. Let m be o(r). Let a(q) = -4*q**2 + 4*q - 1. Let y(s) = -9*s**2 + 9*s - 2. Let j(p) = m*a(p) - 3*y(p). What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-5)\/(25\/(-4)))\/((-28)\/(-70)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/9 and 17\/168656.\nAnswer: 1517904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2620473 or 2620543?\nAnswer: 2620473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*r - 3 = -6*n, n = -4*r. Suppose -4*h = n*c - 52, 2*h + 0*c - 22 = -c. Let q(z) = 2*z**2 - 12*z - 11. What is the units digit of q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-7 - 20 - (54 - 44)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (9 - 4 - 2 - (3 - 5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 547.2 times -0.42\nAnswer: -229.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = 17*i - 224 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2018 + 7810. Is g a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 4*f**2 + 9*f**2 + 365*f - 491*f + 272*f to w*f**2 + r + l*f + a*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 52770 - 65370 = 9*g - 132*g for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -19*i**3 - 11*i - 31. Let f(u) = -4*u**3 - 2*u - 6. Give 11*f(a) - 2*v(a).\nAnswer: -6*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/10)\/(6\/12). Let n(c) = 0*c**3 - 4 - 2*c**2 + c**3 + 1 + 3*c - 2*c**3. Calculate n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1027602 (base 8) to base 15.\nAnswer: -56421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/(((-27)\/30)\/(-3)). Suppose -2*t - x = -4*w, 3*t + 0*t = -4*w + 320. Suppose -h + 4 = -6. What is the highest common factor of h and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.177423t in grams?\nAnswer: 8177423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a1 (base 12) to base 11\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 13*o**2 - 11*o + 17. Let f = -688 - -676. What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.5, -3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(-11*v**3 + 3 + 15*v**3 + 5*v**3).\nAnswer: -54*v**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44293000555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 546 = 0. Let n be (-30)\/i + (-24)\/(-42). Suppose 14\/13*m**2 - 22\/13*m**4 + n*m**5 + 8\/13 + 18\/13*m**3 - 24\/13*m = 0. Calculate m.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 35*i**3 - 3*i**2 - 626*i + 629. Calculate f(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8*n = -6402. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + a + 42. Let x be (-3)\/(-18)*34 - (-4)\/a. Factor -70*d + 60*d**2 + 1 - 10*d**3 + 1 - 5*d**4 - x + 28.\nAnswer: -5*(d - 1)**3*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 4, a: 4, g: 4}. What is prob of picking 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 673944853956 less than -2?\nAnswer: -673944853958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -12. Suppose 0*r = -3*l + r - h, -3*l = 4*r + 2. What is the common denominator of 71\/3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**39\/(x**(-2))**(-11\/7) assuming x is positive.\nAnswer: x**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22394179 a multiple of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27225476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/935)\/(135\/19800)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 53. Let a = 13 - d. Solve -9 = a*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/13 + 19\/39. Let f = 123 + -124. What is the nearest to f in -0.5, q, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaivwiziaziawwwwwzw. Give prob of sequence azii.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2888, 5699, 8510?\n\"Answer: 2811*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21844922 divided by 15.\nAnswer: -21844922\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1845)\/(-6) - (-2)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 49.2. Let r = -7.8 - -7. Let s = r + l. Put 5, s, 4\/5 in descending order.\nAnswer: 5, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 2*p**3\/3 + 5*p**2\/2 + 4*p + 5. Is o(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252890723*d**2*p**3 - 361969781*d**2*p**2 wrt p?\nAnswer: 1517344338*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 + -3. Suppose 7*j - 82 = -12. Suppose j*w = -3*w - 52. What is the third biggest value in -3, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 818 divide 2290714981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i*i**(-3\/4)\/i*i)\/i))\/((i*i**7)\/i*i)*((i\/(i**(-3\/5)\/i)*i)\/i)\/i**(-3\/8) assuming i is positive.\nAnswer: i**(-211\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**4 - 74*q wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = 10. Let t(g) = 3*g**3 - 6*g**2 + 2*g + 6. Let h be t(f). Suppose 3*i - 206 = h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - 32\/(-24). Let t = 5 - 3. Let y = -1.23 + -3.77. What is the third biggest value in y, t, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411603411.5 rounded to the nearest 1000000?\nAnswer: 412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5698 and 370?\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*h + 444*h - 1651 = 0. Let b = h - 64. Calculate the lowest common multiple of 99 and b.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 468585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/9, -0.236.\nAnswer: -4, -0.236, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93392?\nAnswer: 2, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v - 147*v + 79*v - 217*v)*(-2*v + 3*v - 2*v).\nAnswer: 299*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {k: 7, s: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + (-567)\/(-14) - (-1)\/(-2) is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59092*f**4 + f**3 - 8*f**2 + 2*f - 1414630 wrt f?\nAnswer: 709104*f**2 + 6*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 31. Let r = o + 18. Suppose 0 = -3*c + 29 - 8. Solve -3*s = -c*s, 3*s = 5*y - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5 - 85*f**4 - 200*f**3 + 200*f**2 + 880*f + 560 = 0.\nAnswer: -14, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17590\/11 + 1598. Find the common denominator of l and (-1)\/1 - (-68)\/(-32).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.7. Let d = 371.46 + -373.46. Let j = -59\/30 + 3\/10. Sort d, j, 0, r.\nAnswer: d, j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 487\/(-3) + (4 + 0)\/12. Let n be (-36)\/w + 16\/9. Let i(u) = -232*u**2 + 69*u**n + 97*u**2. Let a(f) = -f. Determine i(a(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2044869423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586006750 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let c(n) = n - 27. Let t = 61 + -58. Let x(f) = t*q(f) + c(f). Let w be x(15). Calculate the greatest common factor of w and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/4 - n**3\/3 + n - 1. Let g(h) = 19*h**2 + 176*h + 49. What is the smallest common multiple of g(-9) and x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehhhehn. What is prob of sequence ene?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(8\/5)*(-2 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 5\/113 (c) 1 (d) 4 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9032414*f*k**4 - 2*f*k**2 - f*s**3 - k**4*s**3 - 9937*k**2 wrt k?\nAnswer: 216777936*f*k - 24*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8373 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 520*c**2 + 1588*c + 1064 = 0. Calculate c.\nAnswer: -2, -1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425) + 5 - -2*(sqrt(425) - (sqrt(425) + 0))) + -3.\nAnswer: 2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (14 - 4) - (5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15379*i + 1019. What is the tens digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 12 - 18 + 62 - 16 - 7*c.\nAnswer: -7*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 518\/8288*128\/20. Determine l so that -d*l**2 - 104\/5*l - 1352\/5 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40650273.\nAnswer: 3, 743, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 81*w + 1. Let c(j) = 41*j**2 + 3*j + 196. Give f(c(a)).\nAnswer: 3321*a**2 + 243*a + 15877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18830*b - 20. Let t(w) = -37663*w - 35. Give 7*h(r) - 4*t(r).\nAnswer: 18842*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20521030?\nAnswer: 2, 5, 73, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (40\/(-12) - (-4)\/(-6)). Suppose 0 = 4*t + p*j - 26 - 18, j = -t + 10. Solve -4*v - 2 - t = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.2 (b) -2\/5 (c) 1462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5 = 4*s + 5*w, 2*w = 5*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose 0 = -4*v - c*j + 8 + 80, 2*v = -4*j + 54. Suppose 4*b - 23 = h, -h = 4*b + 6 - 39. Calculate the remainder when v is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 2. Let v be m(0). Which is the nearest to v? (a) 1\/8 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 2)\/(-3 - -2). Let m be (b - 2)\/(-3 - -1). Determine a so that -2*a**3 + 0 - 4\/7*a**2 + m*a = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707398047.\nAnswer: 1201, 1421647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycmymyrmrrymymycmcm. What is prob of sequence ycm?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.3 (c) 11\/9 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44010 + -44068.046. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4 = b + 6*c, 5*c = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -5)\/((-2*2)\/(-1)). Suppose 0 = -v*d + 2*d + 2. Is d*(-1064 + 6*3\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.3 + -3.3. Let b = 39 - t. What is the third smallest value in b, 6\/5, -0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/8 + 45583470*c + 1385235158160600 = 0. What is c?\nAnswer: -60777960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 3*f + 3. Let b(u) = 4*u**3 + 7 - 4*u + 3*u**3 - 3*u. Give 3*b(h) - 7*w(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t. Suppose -4*j - 16 = t, 2*y + 5*j + 9 + 55 = 0. Calculate the lowest common multiple of (-2)\/(-4) - y\/4 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 1, 428 in decreasing order.\nAnswer: 428, 5, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times -441.2\nAnswer: 21.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243305150 divided by -1370.\nAnswer: 177595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106, 99, 84, 61?\n\"Answer: -4*n**2 + 5*n + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 863*y**2 - 2226 wrt y?\nAnswer: 1726*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 3*x**3 + 2*x**3 + (-5 + 0 + 3)*(3*x**3 - 4*x**3 + 4*x**3) - 27 - x**3 + 27 + 61 + x + 2*x**3 - 61 to o*x**3 + b + m*x + s*x**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 2*w**2 - 12*w + 9. Let v be m(0). Let u(t) = -t**3 + 10*t**2 - 8*t + 8. Give u(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 36. Let h be 644431\/1*(4 + a). Suppose 545569 + h = 10*k. What is k rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(90) + sqrt(90)))\/(-1*sqrt(98)))\/(4*1*sqrt(324)*5)*3.\nAnswer: 3*sqrt(5)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1814 or -1813?\nAnswer: -1814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4807, -9819, -14879, -20011, -25239?\nAnswer: -30587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:28 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 + 0*r**2)*(10 - 9 - 38*r + 2).\nAnswer: 38*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 11.58?\nAnswer: 34.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55585005121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -34. Suppose -9*g = -5*g + h. Put g, -1, 5 in ascending order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 26295*z**2 + 553584*z - 579876.\nAnswer: -3*(z - 8786)*(z - 1)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 0.029973264?\nAnswer: 7.029973264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.41?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*o - 66 + 58, -3*s + 12 = -5*o. Let k = 0.2 + -0.2. Let p = -1 - k. Sort p, s, -2, 5.\nAnswer: -2, p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 1 + 1 + 423*z.\nAnswer: 431*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n**3 + 15*n**3 - 7*n**3)*(3*n - 5*n - n).\nAnswer: -111*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(468) + 5 + -5 + sqrt(468) + sqrt(468)*-1)**2 + -2)*-5.\nAnswer: -9350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 420*l. Let s(v) = 9*v**2. Give q(s(n)).\nAnswer: 3780*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p**2*p)\/p)\/p)**35\/(p**(-4\/13)\/(p**(-4\/3)\/p)))**(-5\/13) assuming p is positive.\nAnswer: p**(-20080\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4617402 and 6146.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 - -3.4. Which is the second biggest value? (a) -0.5 (b) 0 (c) 0.5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb9 (base 13) to base 15\nAnswer: -9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-3264)\/160 + -15*(1 - 2)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 2, b: 5}. What is prob of picking 1 c, 1 b, and 2 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99.8*-1.37.\nAnswer: -136.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/4)*d)\/(d\/(d**(-16)\/d))*d**(-18)*d**18 assuming d is positive.\nAnswer: d**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87682359 divided by -5849.\nAnswer: -14991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503463, 503514, 503565, 503616, 503667?\nAnswer: 503718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.8. Let m be 2\/(-11) + (-135)\/(-198). Put c, -3, m in decreasing order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011801085 rounded to seven dps?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436*a**2*m**3 + 36*a*m**3 - a*m**2 wrt a?\nAnswer: 872*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208190521 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84314 is divided by 8607?\nAnswer: 6851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + 4 + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 92*d**2 - 923*d - 29. What is a(10)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 30*d**2 - 2*d + 5. Suppose -o - 12 = -3*y - 5*o, 0 = -2*y + 2*o + 8. Let c be f(y). Suppose -2113 + c = -4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 8. Let c be v(7). Suppose -7 + 1 = -s. What is the remainder when (c\/6)\/(-1)*s is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 11 = -5*h, -8*t - 4*h = -4*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -529c6b (base 13) in base 3?\nAnswer: -10122022222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 308, 315, 322?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 25. Calculate the greatest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234454981 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2378600899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 - 74*m**2 - 10*m. Let r(x) = x**3 - 15*x**2 - 2*x. Let s(o) = 24*o - 70. Let f be s(3). Calculate f*v(n) - 11*r(n).\nAnswer: n**3 + 17*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/o**(-21)))\/(((o\/(o\/(o*o*o\/(o**(3\/17)*o))))\/o)\/o))\/(o**(-1\/9)\/((((o**(-13)\/o*o)\/o)\/o)\/o*o*o)) assuming o is positive.\nAnswer: o**(-5464\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 8. Determine f(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 12*l**2 + 12*l - 9. Let p be a(11). Let t = -7 - -13. Let g = t - p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -46*12\/8*2. Let f = s + 295. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*j + 48031*j**2 + 648*j.\nAnswer: 48031*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -15. Which is bigger: d or -24?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-66)\/20)*6\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 + j**2)*(-5*j**3 - 2 + 0 + 3) + j**5 + j - j.\nAnswer: 6*j**5 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(34)\/sqrt(2) + 3 + 4*(sqrt(17) + 0)).\nAnswer: -25*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1734 + 1730. Let d = -0.06 - -0.05. Put d, -2, m, 1 in descending order.\nAnswer: 1, d, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/((-1)\/33). Solve h = -5*m + 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let o(h) be the second derivative of v + h + 0*h**3 - 1\/12*h**4 + 0*h**2. Let r(p) = -3*p. Calculate r(o(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -56 + (11 - ((-13 - -20) + 12))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1e1?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khgbwhw. Give prob of picking 1 h and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 16. Let h be u(-14). Let s = 2 + h. Solve -3*k = -0*z - s*z - 1, -4*k = -z + 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000670397 rounded to seven decimal places?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 29 + -212 + 194.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d = -2*r - 69*d + 40, -3*d - 40 = -2*r. What is the remainder when 76 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(1\/(-2302)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 1864316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 1:38 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**2 - 2*v**3 + 8*v + v**3 - 5*v**2 + v. Differentiate b(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:08 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246 + 347. Suppose -j = -4*k - 17. Calculate the remainder when 41 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:34 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251089?\nAnswer: 7, 29, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668277685 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -994 (base 10) in base 7?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:48 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/60 - 8*w**2. Let n(g) = 9*g**2. Determine n(j(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**4 + 41565*l**2 - 95310*l - 10.\nAnswer: -84*l**2 + 83130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178 - 166. Let z(l) = -14*l + 10*l + q*l. Let r(g) = -17*g**2. Determine z(r(u)).\nAnswer: -136*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w - 5 = 0. Suppose -w*n + 17696 + 12679 = 0. Find the common denominator of n\/1602 - (3 + 1) and -41\/14.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 103?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9078.543nm in micrometers?\nAnswer: 9.078543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492 - 1253 - 6373 = 87*p + 7*p for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 2*y**2 - 7*y**3 + 5*y**3 - 2*y**4 + 12 + 3*y in the form f*y + z*y**4 + c*y**2 + h + p*y**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*w + 51, 0*x - 7 = -x + 5*w. Suppose x = -0*o + 3*o. Solve o*r + 0*r + 3*p - 2 = 0, -12 = -5*r + p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(27090\/(-1595)) + 2\/1. Let o be 3792\/27090 - 4\/30. Let q = o - f. What is the common denominator of -50\/3 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6 - 19168735663.\nAnswer: -19168735653.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5*q. Let y be t(5). Suppose -5*m - 15 = -5*v, -m = -y*m + 5*v - 9. Which is the third smallest value? (a) 1\/4 (b) -2 (c) 2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k)\/k)\/k*k\/k**8*k*(k**(-1\/2))**(-7\/10) assuming k is positive.\nAnswer: k**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1215320 and -13\/4887700.\nAnswer: 224834200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 45*f - 27*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -64755.\nAnswer: -4\/64755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y - y)*(1 - 3 + 0) + 0 + 0 - 3*y + (-8 - 32 - 25 + (6 - 2 - 5)*(-1 + 0 - 2))*(-2 + 2 + 2*y).\nAnswer: -131*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = g, -3*t = 2*g - 0*g - 1. Let f be (-20)\/(-6) + g\/12. Suppose 3*d = -q + 4*q - 117, 4*q + f*d = 164. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -196437?\nAnswer: -196442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + 314\/(-6). Let d = -191 + 128. What is the common denominator of h\/(-39)*d\/22 and -22\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215\/468 or 0?\nAnswer: 215\/468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 139, -8378.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -8*s + 1936. What is the remainder when s is divided by 158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7767\/4 or 1941?\nAnswer: 1941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 9848880.\nAnswer: 9848880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 35 = -z + 3*h, -2*z - h = -79. Calculate the remainder when z is divided by ((-266)\/(-28) + -6)*(-16)\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.037658us in days?\nAnswer: 0.000000002893954375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*m - 1028 + 1008, -2*m + 20 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872828165?\nAnswer: 5, 53, 1319, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/124 > 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**2\/2 - 24. Suppose 0 = 5*s - 3*o + 9, -2*s = -3*o + 3 + 6. Calculate a(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(20\/43765) + -3 - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qffffqfhquhhqqffu. Give prob of sequence qfqq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -816 + 1519. Are 702 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -17*s**3 - 8*s**2 + 11*s - 3. Let p(r) = -6*r**3 - 3*r**2 + 4*r - 1. Let g = -5 - 6. Give g*p(f) + 4*u(f).\nAnswer: -2*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 754, -14.3, 2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18414, 36830, 55246, 73662, 92078, 110494?\n\"Answer: 18416*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18856.\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-559)\/728 - (-6)\/(-16)) + 2\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 14. Let s = 3 + -15. Let j be z(s). Which is the smallest value? (a) -3\/5 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*c**4 - 142*c**2 wrt c.\nAnswer: 3768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x = -1663187 - 21849365. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 46449 = -7176. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*407\nAnswer: -203.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 42*o = -38*o - 77, 4*o + 79 = 7*v. Solve 4*n - a - v = 0, -5*a = -2*n + 3 - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.05651 (b) -0.1 (c) 148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2*5\/(-10). What is the units digit of c - 2\/2*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q + 2. Let i be j(2). Let d = i - 51\/2. Let a be (3\/(-30))\/(4\/(-30)*1). Put a, d, 3 in decreasing order.\nAnswer: 3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/(1\/(-8)). Suppose -4*a = -3*t - g*t - 41, 5*t = -4*a + 31. Suppose -a - 3 = -m. Solve s = 5*s + m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3610394, 3610465, 3610536?\n\"Answer: 71*d + 3610323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-56)\/112)\/(2\/14)*-2. Solve 0 = u + 2*y - 0 - 6, -n = 3*u + y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088 = -5*f + 2*b, -3*f + 848 = 2*b + 192. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11387 - 8297. What is the greatest common factor of d and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 26*n**2 - 4*n + 24. Determine l(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus -0.71?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 683014209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -18 + m**2 + 0*m**2 + 117 + 20. Let s be t(0). Suppose -5*r = -s - 506. Calculate the highest common factor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 117963154 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**3 - s**2 - 18*s**3 - 10*s**3 + 90*s - 92*s to the form k + i*s + u*s**2 + r*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2551\/7 at most as big as -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5411 is divided by 290.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aooo when four letters picked without replacement from {a: 5, o: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 10*i + 13. Let g be t(-10). Let p = 52 + g. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) + (-1353)\/330.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29816.\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0306449 rounded to 4 decimal places?\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2778)\/162*-6)\/(4\/146). Let q = v + -513665\/99. Let l = 1429 + q. What is the common denominator of l and -67\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjwjjjewjwwwjwwwwj. Give prob of picking 3 j.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2035, -6185, -13101, -22783, -35231, -50445, -68425?\n\"Answer: -1383*u**2 - u - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-3)\/2)\/1)\/(3\/(-14)). Suppose s*z - 4*z + 57 = 5*d, -65 = -5*d - 5*z. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3*3*(-8)\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279437287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 35*t**3 + t - 1. Let w = 876907 - 876872. What is the remainder when w is divided by z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 25 = 2*p, 8*y + 430 - 485 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125189 - 198028*x - 125189.\nAnswer: -198028*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*i - 7*i = 9320, 4*b = -i - 7444. Calculate the remainder when b\/(-18) - (-8)\/(-6) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2463338903 to the nearest integer?\nAnswer: 49632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10755 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 1. Let v be w(-1). Suppose -5*p - 3*k = 17 + 23, 3*p - 5*k = 10. Let o = 13 - 9. Which is the third smallest value? (a) o (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39900 divided by -9975?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*i**4 - 8*c*i**3 - 11*c*i - 104*i**4 - i**3 - 3*i**2 + 13*i - 1 wrt i?\nAnswer: 48*c*i - 48*c - 2496*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - ((-8 + 7 - 5) + (-1 - -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1515888823 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*f + 5*z, 0 = -2*z - 4. Let o be 2 - f*(0 - 0). Suppose o*q - 35 = -3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50251153?\nAnswer: 50251153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.1, -0.1, -0.03026 in decreasing order.\nAnswer: 13, 0.1, -0.03026, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b87374 (base 12) to base 2.\nAnswer: -10110100000110101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 + 1.49. Let u = t - 0.57. What is the smallest value in u, -2\/5, 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.92539 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 224841.78 months in millennia?\nAnswer: 18.736815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2160*a**3 - 2134*a**3 + 3 + 4287*a**3 + 2*a**2.\nAnswer: -7*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9) + (-16)\/(-3). Find the third derivative of 20*j**r + 0*j**5 - 3*j**2 - 4*j**5 + 2*j**2 wrt j.\nAnswer: 960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/21, -4, -0.9, 2\/3?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 6. Let s(j) = -j - 1. Suppose -5*t - 5 = 5*w, 6*w - 7*w + 2 = 4*t. Let n(h) = w*d(h) - 4*s(h). Determine n(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.7 and -57.\nAnswer: -60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 4. Let j be z(-3). Let h be 4*(-5)\/10*-5. Calculate the highest common factor of h and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12256\/3 + 73631\/18. Calculate the common denominator of -7\/7968 and r.\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -25, -71, -135?\n\"Answer: -9*i**2 - i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(54\/(-36))*0. Suppose 11 = -4*k - 1. Let d = k - -2. What is the closest to h in 2, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147806 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1640 and -61\/1587192.\nAnswer: 7935960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -109, -116, -149, -214, -317?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4428760 divided by 553595?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1827\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 18 = -m, d + 0*m + 12 = 4*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1092 - -1092.4. What is the smallest value in 32, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 691*w - 699*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2 + -2*1. Let b be 4\/(-4) + u + 0. Put 1, b, -4 in increasing order.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 126390771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 13 = -4*x, i - 200*x + 203*x - 45 = -10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10*d + 28 = 3*k, 2*d + 13*k = 108. Let x(q) = 4*q**3 - q**2 - 11. Let y(r) = 21*r**3 - 6*r**2 - 54. Calculate d*y(s) - 11*x(s).\nAnswer: -2*s**3 - s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 10 + 18*h**2 - 9*h - 7*h + 8*h + 6*h + 4*h**3 in the form d*h + y*h**2 + p*h**3 + v and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2559 + -0.0559. What is the biggest value in t, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnhh when four letters picked without replacement from hvvwnrwfh.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6) + 2 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 13, r: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42*(-40)\/30)\/((-10)\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -482197 * 4.\nAnswer: -1928788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*f = 2, -5*u + 5*f + 5 = -0*f. Suppose u*t - i - 1 = -t, 4*i - 2 = -2*t. Is t >= -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**3 - 2*p**3)*(-39 - 96 + 98 + 1 + 0 + 0 + (-5 + 4 + 0)*(-3 - 1 + 5)).\nAnswer: 185*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**2 - 13 - 1\/20*i**5 - 1\/40*i**6 + 0*i + 2*i**3 + 1\/2*i**4. Factor y(j).\nAnswer: -3*(j - 2)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)\/(x\/(x\/x**(-2\/7))*x))\/(x**0)**(-40) assuming x is positive.\nAnswer: x**(-47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*n + 7, -3*u + 2*n - 3 - 4 = 0. Let g = 0.364 - 0.364. Which is the nearest to 4? (a) u (b) g (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 6. Let z be c(-5). Let u be 1*(0 + (z - 2)). Let x = u + -56. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2299) - (sqrt(1539) + -4)**2.\nAnswer: -1555 + 61*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 11*h + 8*h + 13 = 0, -h + 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.852 + 0.048. Let v = k + -17. Let u = -3.1 - v. What is the second smallest value in 0, 1\/4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18085 is divided by 8900?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 5, 55\/3, -6\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 - 7)*(-a - 5*a + 3*a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1876)\/(-4690)*5*2\/(-52).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -373361193, -746722385, -1120083577?\n\"Answer: -373361192*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Which is the nearest to h? (a) -0.2 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h + 56. Let i be p(4). Which is the nearest to 0? (a) -0.1 (b) i (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m + 8. Let t(n) = -n**2 - 4*n + 2. Let s be t(-4). Suppose -2*p = 4*u + s, -2*u + 6*p = 2*p - 4. Give h(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose g*l - 460 = -0*l + 4*r, -r = 2. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-1) - (-13)\/((-117)\/(-48456)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -189.\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 505416 and 1263540?\nAnswer: 2527080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 60*b**2 - 9*b + 328. Is k(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*-12281.\nAnswer: 1191257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61490467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -731.2695 rounded to the nearest integer?\nAnswer: -731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 16*c - 17. Let q(m) = m**2 + 5*m + 6. Let x be (-1 - (-3)\/9)\/(30\/180). Give x*z(l) - 11*q(l).\nAnswer: -3*l**2 + 9*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 2, 14 in decreasing order.\nAnswer: 14, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -28*r**5\/5 + 2864*r**4\/5 - 6444*r**3\/5 + 4408*r**2\/5 - 160*r = 0.\nAnswer: 0, 2\/7, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 13. Let g(q) = -56*q + 68. Let m(w) = 51*w - 67. Let i(a) = 2*g(a) + 3*m(a). Let f be i(4). Calculate the highest common factor of s and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -107470 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -26*c - 8. Let l(x) = -27*x - 9. Let b(t) = 6*l(t) - 7*y(t). Let g(n) = -2*n**2. What is b(g(q))?\nAnswer: -40*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/2 + 8*l**3\/3 + 11*l**2 + 12*l - 18. Factor z(c).\nAnswer: -2*(c - 6)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3464768, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -448218.788 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182906946, 182906947, 182906948?\nAnswer: 182906949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 382927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 39. Let o(p) = -p**3 + p**2 - 9*p - 9. Let k be o(0). Let l be i(k). What is the smallest value in 1\/10, l, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by -100?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -9 - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011392 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -203822?\nAnswer: -203822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 20, 4, -2 in increasing order.\nAnswer: -2, 0, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.515 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + n - 79870 = -2*n, 79870 = 5*q - 2*n. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22584 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.80693 - 11.80597. Let v = n - -11. Round v to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - s - 3)*(66*s**2 - 200 + 200) + 5*s**3 + 4*s**3 - 5*s**3.\nAnswer: -62*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4071*v - 1398. List the prime factors of p(-3).\nAnswer: 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from zrrrrrrzrrrrrrrirrzr.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = z + 3*z - 5*m, 0 = -3*z + 5*m + 267. Let v = -447\/5 + z. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1901 or 1904?\nAnswer: 1901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2746, -2907, -3068, -3229?\n\"Answer: -161*x - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, e: 3}. Give prob of sequence uu.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = k. Suppose r + k*u + 21 = 4, -5*u = 20. Suppose 10 = r*s - 4*x, 2*s = -5*x + 22 + 23. What is the lowest common multiple of 7 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 - 11*r - 510 + 9*r + 228 + 137.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71878 divided by -6?\nAnswer: -35939\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -9, 17, 21\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -16. Let w = 9 - f. Solve 4*p - t + 14 = t, -w*p = -t + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1029 + 1086. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18))**(-3\/4) assuming l is positive.\nAnswer: l**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 5. Let v = -8 + y. Let r be 4\/(-8)*(1 - v). Which is the nearest to 2\/7? (a) 2\/11 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 15*d + 2413. Calculate the remainder when d is divided by 122.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35.6503 from 4443.45111.\nAnswer: 4479.10141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33478\/(-881)*(-1 - -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m + 51*m + 23*m + m.\nAnswer: 103*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -213, -209, -203, -195, -185?\n\"Answer: r**2 + r - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, 4, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12363465 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15893 + -15439. Which is the smallest value? (a) -1 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-338)\/(-65) - 4\/(-5). Suppose -3*d - b + 9 = 0. Let h = 3.97 - 4. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*(s*s*s**(2\/25)*s*s)\/s)\/s)\/s)\/s)**37*(s**(-4\/13))**(-1) assuming s is positive.\nAnswer: s**(25112\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 218b + -120?\nAnswer: 206b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*o**2 + 5050*o + 842 = 0. What is o?\nAnswer: -1\/6, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 196\/9*k**3 - 184\/9*k**2 - 50\/9*k**4 + 16\/9*k.\nAnswer: -2*k*(k + 2)**2*(25*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 3*i - 3*i)*(-260 - i + 254 - i) to the form h*i + p*i**2 + w and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -7 - -14 - -13?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*n**2 + 17*n + 30*n**2 + 2 + 8*n - 22*n.\nAnswer: -147*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c - 5*c**2 + 15*c**2 - 11*c**2 - 7*c**2 as q + p*c + f*c**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*t**3 + 8 - 8)*(-3*t + 3*t + 2*t + (t - 2*t + 3*t)*(-4 + 0 + 0) + t + 0*t + 0*t)*(-2 - 2 + 5) to m*t**3 + f*t**2 + k*t + y + q*t**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, k: 4}. What is prob of picking 2 p?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/21 - 69\/(-21). Suppose -c*p = -7 - 8. Suppose -3*l - p*q + 68 + 182 = 0, 4*l - 341 = q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-206)\/3. Suppose -57*w + 4950 = -147*w. Let q = w + a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5245 by -1489.\nAnswer: 5245\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4669771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/9))\/(o\/(o*o**(-2))))**(-3\/37)\/(o**(-6)*o**7*o**(-8)\/o**(-2\/7)) assuming o is positive.\nAnswer: o**(5294\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12\/7, 1, 0.0184?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 38, 36, 34, 32, 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*b + 55, -q - 51 = 3345*b - 3349*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0581188651 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -71*x**4\/24 + x**3\/3 - 6*x**2. Let k be s(-2). Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 2. Let o(h) = h**3 + 2*h**2 + h - 120. Let m be o(0). Let g = 113 + m. Give x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.147117 hours in nanoseconds?\nAnswer: 29329621200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 855607557 to the power of 1\/3, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Solve 3*w = -v*w, -5*i = -2*w + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 - -183. Let z = -982 + 1037. Calculate the highest common divisor of j and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -197, -3\/5 in ascending order.\nAnswer: -197, -3\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let y = z + -4. What is the remainder when 13 is divided by -3 + 6 + y + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y**2. Suppose 0 = h + m - 1 - 13, 4*m - 38 = -2*h. Let p(t) = 5*t**2. Give h*p(j) - 2*i(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + 15. Suppose -6*k - 39 - x = 0. Is -17 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1\/4, 110, 0, 1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2135 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 60?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/477818 and 63\/826496?\nAnswer: 30580352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 104 - 31. What is the remainder when 88 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -123.98. Let o = 1.020067 - z. Round o to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from wxlblhlwwbwhxwgg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38382 is divided by 510?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + s + 2. Let r be i(3). Suppose r*m + 2*u = 51 + 59, -m = -u - 29. Suppose -2*g + m = -0*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/280*10*(-56)\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885491163.\nAnswer: 19, 83, 919, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 962342 greater than or equal to 962335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 + 90 = 8*d. Is 33 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/13)*x**(-1\/2))\/((x*x**(-13))\/(((x\/(x**17*x*x))\/x)\/x)) assuming x is positive.\nAnswer: x**(-189\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-42))\/(3\/42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 765573 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*a = -254*a - 260*a + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 - 5*b + 1. Let j be a(-8). Let q = -37 + j. Solve -2*v + 2 = -q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*y - 0*y + 3*t, -4*y - 4*t = 0. Let d = -46 + 64. Suppose y*u - d - 24 = 0. Calculate the remainder when 27 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -aac?\nAnswer: -aae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - 160453?\nAnswer: -160500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 27*y - 2*y**3 + 17*y.\nAnswer: -y**3 + 44*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 16*b**2 - 38*b + 13. Let v be d(-13). What is the hundreds digit of 1\/((18\/(-4359))\/(-6) - v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*y = -66, 0*s - 31 = -2*s - 5*y. Sort 3, s, -2, -4.\nAnswer: -4, -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -3, -37, 3, -1 in decreasing order.\nAnswer: 5, 3, -1, -3, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -92*a**2. Let h(o) = -o**2 + 5*o + 1793. Determine h(k(p)).\nAnswer: -8464*p**4 - 460*p**2 + 1793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -41*s**3 - 1. Let l be u(-1). Suppose -3*n = n - l. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 338, 0.2, -4, 1\/3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1486003 from 67.7.\nAnswer: -1485935.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4 + 220*x**3 - 210*x**2 - 220*x + 215 = 0.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 140 = 11*f. What is the greatest common divisor of 70 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118031*h**2 - 39309*h**2 - 39304*h**2 - 39415*h**2 - 9.\nAnswer: 3*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -57012?\nAnswer: -5\/57012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6299877658 to the nearest integer?\nAnswer: 79372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 + 6*n. Let l be t(-4). Suppose 0 = -4*q, 2*u - l = -3*q + q. Suppose u = -5*s + 156. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*r - 6, -197*r + 195*r - 5*c + 42 = 0. Factor 1\/3*n**2 - r*n + 27.\nAnswer: (n - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**5\/10 + 2*q**3\/3 - q + 4. Let p(w) be the first derivative of u(w). Find the second derivative of p(t) wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/60 and -119\/330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Let j(a) be the third derivative of -a**6\/360 - a**5\/120 + a**4\/8 - 2*a**3 + 7*a**2. Let x(p) be the first derivative of j(p). What is x(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y = -36. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 38*k + 82 = 0. Find b, given that -3*b**3 + 12*b**5 + 7*b**k - 13*b**5 + 701*b - 3*b**4 - 707*b + 6*b**3 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.783756 rounded to 3 dps?\nAnswer: -0.784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43544, 39376, 35208, 31040?\nAnswer: 26872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/o**(6\/19))\/o)\/o*o)\/o**(-11\/6) assuming o is positive.\nAnswer: o**(401\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11)*c\/(c\/c**5)*c)\/((c*c\/(c**2*c))\/c)**(2\/125) assuming c is positive.\nAnswer: c**(7544\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 57, 155, 333, 615, 1025, 1587, 2325?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + o**2 + 59*o - 121*o + 63*o as t*o + h*o**2 + q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-493)\/(-153) + 6\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v + 3*k - 34, -2*v = -3*k + 5. Suppose 5*q = -0*g + 5*g + v, -4*q = 0. Let f = -25\/21 - 8\/21. Are f and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3660600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s = 134*s + 50 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 153*u**2 + 153*u - 165. Determine c(-52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (21 - (74 - 14)) - -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/162 and 53\/166.\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**4\/12 + 5*y**3\/6 + 3*y**2 + 75*y + 8. Let w(c) be the first derivative of m(c). What is w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 220 = -632. Is o < -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8700.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-6))\/(((-14)\/4)\/(44\/(4136\/(-987))))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**2 + 38*r**4 - 13 + 0*r**3 - 4 - 15*r**4 + 34*r**4 - 7*r**3 wrt r?\nAnswer: 1368*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -975, -980, -989, -1002, -1019?\n\"Answer: -2*v**2 + v - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 11968*f**2 + 22046154*f + 12901614804 = 0.\nAnswer: -3098, -1443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 267?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m**8)\/m))**(-2\/25)*m**(15\/4)*m**(-8) assuming m is positive.\nAnswer: m**(-361\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1, -7, 101\/5, -102\/43 in descending order.\nAnswer: 101\/5, -4\/7, -1, -102\/43, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*-1244*492\/820. Let w = d + 498. Let i = -25 + 99\/4. What is the fourth smallest value in 0.1, w, i, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*x + 3*c, -2*x - 2*c + 43 = -3*c. Let n = -17 + x. Solve 0 = 4*z - n*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*(-12)\/10*(-225)\/45.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12210 >= 61046\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 543 + -539. Sort k, -5, 1 in increasing order.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*p**3 + 285*p**2 - 13*p - 285 = 0. Calculate p.\nAnswer: -285\/13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {e: 2, f: 2, s: 4, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-96)\/10 + 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose -2*u - 1 = 5*s + 50, d*u + 85 = s. Is 15 a factor of (-4)\/14 + (-848)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4416.36 + 4417. Which is the second biggest value? (a) 1 (b) 6\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-315*(-16)\/(-80)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29)\/2*-1*-18. Let s be (-8)\/20 - n\/15. Let k = 25 - s. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6854 divided by 3427\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033132 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/6 - n**2\/2 + 3*n + 20\/3 = 0.\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*-3*-4*(-1 + sqrt(18) + 1 - sqrt(18)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.36572ml to litres.\nAnswer: 0.00336572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (164*p**2 + 53*p**2 - 72*p**2)*(-6 + 1 + 3)*(5 - 2 - 1) in the form f + k*p + x*p**2 and give x.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2185 and 52432571.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*c**2 - 3 + (-1 - 5 - 3)*(-3*c + c**2 + 3*c) + 7*c**2 + 0*c**2 + 0*c**2 + 2*c**2 + 2*c**2 - 7*c**2 in the form r*c + b + s*c**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)*h*h)**(-1\/23) assuming h is positive.\nAnswer: h**(-15\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 32719*o**2\/2 + o\/4 + 32719\/2.\nAnswer: -(o - 1)*(o + 1)*(o + 65438)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from xglgxmlllxwxwlgx.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1139537 = v + 487167, 0 = 7*m - v + 11386896. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/482 equal to -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37.23574 seconds?\nAnswer: 37235740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2}. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + 115 - 72)*(-1)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**5 - 2*g**3 + 10. What is the third derivative of n(d) wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 2*v. Let x be n(-2). Suppose -2*f + 6*f = x. Suppose f = -a + 2*a. Solve a = -2*q + 3*d - 23, -q - 2*d - 2 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(52\/91 + -7).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 103 = -2*r, 5*q - 4*r = -9*r + 115. Solve -2*l = -23 + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:08 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 14, 24, 34, 44, 54?\n\"Answer: 10*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*r - 4*t - 213, 3*r - 3*t = 126. Let x = 74 - 19. Let c = x - 32. What is the remainder when r is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28583 and 1132?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 3*k - 1. Let b(l) = l**2 - 2*l. Let m(o) = -5*b(o) - 3*p(o). Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glzzlfzzllrl. What is prob of sequence lg?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 37*o - 304. Let f be h(-17). What is the highest common divisor of 414 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 12*s**2 + 19*s - 6. Let u be n(13). Let k = -40 + u. Let v = 599 + -311. What is the highest common factor of v and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnlvccxxcrlvrvrvxvv. What is prob of sequence ccl?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = c - 3*h, 5*c = -4*h + 56. Suppose 0 = 4*l - 2*l - 28. What is the least common multiple of l and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41831344 + 6855300.\nAnswer: -34976044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + j - 1)*(-4 + 4 + 2*j) + 4*j - 4*j + 2*j**2 + 5*j**2 - 3*j**2 - j**2 in the form m + v*j + f*j**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -12) + (-59 - -32)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 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: Suppose 4*j - 5 = 7. Suppose -4*u + 40 = -j*u. Calculate the highest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 2, -5 in increasing order.\nAnswer: -5, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4326, -4323, -4320?\nAnswer: -4317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/(-70)*-4*75\/60?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 709286, 708831, 708376?\n\"Answer: -455*v + 709741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-5 - ((-5 - -1) + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 368 - 182 + 762*j.\nAnswer: 762*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 44*m**2 - 6*m - 198. Let n(p) = 9*p**2 - p - 40. Determine -16*n(h) + 3*z(h).\nAnswer: -12*h**2 - 2*h + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - -1)\/((-10)\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 78*d - 76*d - 44, d = 3. Suppose -2*u - 2*i = u + 40, -i + 4 = 0. Let r = 4 - u. What is the remainder when c is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97362.31kg?\nAnswer: 97.36231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 25*o**2 - 2*o. Let w = -18 + 20. Let s(g) = -19*g + 22*g - w*g. What is m(s(j))?\nAnswer: 25*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 18. Give p(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, -4, -5, -2 in ascending order.\nAnswer: -370, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 25*h - 112. Let c be m(-29). Put -3, c, -263 in descending order.\nAnswer: c, -3, -263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -34, 227, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -53*l + 165. Let n be p(5). Does n = -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 536, -0.1, -22416.\nAnswer: -22416, -0.1, 1, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 - 0. Let h be 1*(4 + -2) + d. Suppose 2*m = -4*s - 6, -5*m = -4*m + h*s + 7. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1, 0.2, -31.\nAnswer: -31, -4, -3, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070041421 to five decimal places.\nAnswer: 0.07004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - 1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14)*(-7)\/(-3). Let r = -9\/2422 + -4817\/7266. Which is the closest to 0.1? (a) o (b) r (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:49 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7, v: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -37, -44, -49, -52?\n\"Answer: j**2 - 12*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b - 24*b - 12. Suppose -2*d = -3*y - 4, -b*d + 6 + 2 = -2*y. Suppose -4*m + 4*l + 1586 = -14, -d*m + 803 = -3*l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + 1 + -1. Suppose 5*f - 8 = -2*m + f, s = 3*f - 6. Let b(n) = n**3 + 10*n**2 + n + 10. Let i be b(-10). Solve i = -z - m*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1aa + 3?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1}. Give prob of sequence yp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 14319*o**2 + 4*o + 3*o**3 - 4*o - 14226*o**2 as a*o**2 + l + q*o + s*o**3 and give a.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 1\/5 (c) 6285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 182915 - 50140 = 2*k. List the prime factors of k.\nAnswer: 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -22. Let y be (-56)\/((-24)\/6) + -4. Suppose -8*b + 72 = y*b. Sort p, b, -3\/2, -0.3.\nAnswer: p, -3\/2, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -13402?\nAnswer: -13403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -22 - ((112 - 101) + (1 - 24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40330 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/525 - i**6\/150 - i**5\/150 + i**4\/30 - 23*i**2\/2 + 103*i. Let t(z) be the first derivative of y(z). Factor t(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose 2*n - 7*n = 0. Solve n = -v*t - j, -3*t - 2*j + 3*j = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*i + 30 = 0, -2*f - 3*f + 3*i = -26. Suppose -f*g + 84 = 4*w, 0*w + 35 = 2*w - 5*g. Solve 0 = 2*o + 3*o - w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9273*v - 11377981. What is g(1227)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 21. Let k be (-1)\/(51\/(-27) + 2). Does 11 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28fcff + -1d?\nAnswer: 28fce2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -833 - -848. Let o = -5 - -9. Put l, 5, o in ascending order.\nAnswer: o, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + 4*u - 5. Let m be a(1). Suppose 8*s + m*s = 2310. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1127 - 93 - 48)*(m**3 - 1 + 5 - 2).\nAnswer: -1268*m**3 - 2536","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1365476 and 3556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -616 divided by 8\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n + 43. Let r be b(-3). Let u be 2688\/35 + 2\/r. Calculate the greatest common divisor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 10*g**2 + 12*g + 21. Let c be p(-11). Let a be (-5 - c\/55) + 5\/1. What is the third smallest value in -0.4, 0.07, a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803790 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 6. Let n = z - -7. Suppose 2*c - 3*c = -n. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose 3*q + 5*f = -u*f + 31, 0 = q - f - 13. Let d = -297 - -299. Calculate the least common multiple of q and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (426\/497)\/((-4)\/(532\/(-3)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 23\/5, 41, -2\/7?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 5*m + 5. Let u be z(6). Let c be (-1 - 1)*(-21)\/(-14). Sort c, u, 5 in decreasing order.\nAnswer: 5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -4*u + 2*n + 894, 4*u + 3*n - 571 = 0. Let j = 179 - u. Calculate the greatest common factor of 280 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + m - 5*m. Suppose -9 - 6 = -5*o - s, 23 = -o + 5*s. Let j(p) = -2*p + o*p + p**2. Give i(j(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(28\/(-12)) - -20. Let v = -7 + n. Factor -2*l + v*l**2 - 10*l**2 + 2*l**2 + 3*l**4 + l**4 - 10*l**3.\nAnswer: 2*l*(l - 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -12, 0 = q - 3*q - j + 23. Suppose -18*u = g - q*u - 583, 4*g + u - 2351 = 0. Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 212884.\nAnswer: -1\/53221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1029?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grglgrrwgggwgggglrrr. Give prob of picking 3 g and 1 l.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 4. Let i be (-1 - -1)\/(1\/(-1)). Let z be s(i). Let n(w) = -w**2 - 6*w - 3. What is n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1088, 4737, 10804, 19289, 30192, 43513, 59252?\n\"Answer: 1209*c**2 + 22*c - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 198 - 60 = 2*i, 0 = 3*i - 2*w - 223. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -117.52. What is n rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*r**4 + 868*c**2*r**3 + 2*c**2*r - 3*c**2 - 144*c*r + 3*c wrt r?\nAnswer: -60*c**2*r**2 + 5208*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 37*t**2. Let u(a) = 16 - 4 - 266*a**2 + 275*a**2. Let y(c) = 26*c**2 + 34. Let i(f) = -17*u(f) + 6*y(f). Calculate i(d(z)).\nAnswer: 4107*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*8)\/(-3) - 2. Let z be q - 1 - (1 + -4). Suppose z*i - 3*i - 75 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 74\/26 + (1 - 4). Let y be 10\/(-55) + (-45)\/(-66). What is the third biggest value in a, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-620150)\/(-30) + 10 + 2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14728806 is divided by 261.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1000557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2.5, 1\/3, 1.1 in descending order.\nAnswer: 2.5, 1.1, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64322709 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 3*t**2 + 2*t + 2561. What are the prime factors of z(0)?\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2e52?\nAnswer: -2e4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 h when three letters picked without replacement from fjllufhq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 3*t + 4*t + 1. Let g be u(9). Let y = -30 + g. Calculate the remainder when 47 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 28*m. Let r(t) be the first derivative of 0*t**2 + 0*t + 26 + 2\/3*t**3. Give s(r(g)).\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 333\/(-27) + 6 - (4 + -7)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3438 + -3264. Solve 28*n = -30*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8621533 is divided by 2873765.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*j - 5*j = 8, 3*w - 12 = 4*j. Let x(q) = 32*q**2 - 6*q + 9. What is the tens digit of x(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17776585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 179 = -62. Let o be (z - 1)\/(4*(-9)\/(-72)). Which is the nearest to 3? (a) 1 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10065 and 21?\nAnswer: 70455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:37 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43869779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:27 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let u be x(5). Suppose 0 = 4*s + 1 + 27. Let c(d) = -d**3 - 6*d**2 + 4*d + 14. Let k be c(s). What is the greatest common factor of k and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302 - 1479 = -30*k + 658 + 1655 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388855 by 5.\nAnswer: 77771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*(2695\/229614)\/(((-4)\/(-6))\/((-4)\/(-10)))\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/32*2*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-90))\/(38\/(-285))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 43951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -0.1. Let w = 4.35 + -4.55. Which is the biggest value? (a) h (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, o: 3}. What is prob of sequence ook?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69b58a (base 12) in base 3?\nAnswer: 10012100012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + -0.06. Let h = -1\/12 + 29\/60. What is the nearest to 2\/3 in b, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose -3*n = 2*j + 21, 3*j - 369*n = -366*n + 36. Solve j*c + 3 = -r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1082 and 3830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2*(5733\/522 - 11)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.204 - -2.304. Suppose -16*u + 11*u + 75 = 0. Suppose -z + u = 4*z. Which is the second biggest value? (a) y (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - 0.1. Let l = r - -0.7. Let y = l - -0.2. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4, -21*p + 25*p + 2*n - 140200 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 12 = 3*d, -3*j = 15*d - 19*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/2, 1, -4, -3.\nAnswer: -6, -4, -3, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(5*sqrt(5)*-6)*3*3.\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*m - 6231 + 2247. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keeeexxwgxsx. Give prob of picking 2 e, 1 x, and 1 w.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from nnfnufnfnufuun?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384 + 90*j**2 - 4*j**3 + 21*j**2 - 30*j**2 + 34*j**2 - 524*j + 29*j**2.\nAnswer: -4*(j - 32)*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15944 or 15942?\nAnswer: 15942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -243. What is the greatest common factor of o and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (2 + (9 - 3) - (10 + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 1. Let k be d(-1). Suppose k*i = i. List the prime factors of 0\/(i - 3) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18550.33ml in litres?\nAnswer: 18.55033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12 = 4*a, 4*a + 9 + 3 = 2*d. Let j be (2*14)\/(a + 4). Suppose -132 = -5*g + j. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 7747084.\nAnswer: 7747084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1552490 divided by 95.\nAnswer: 16342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2628*h**3 - 115*h**2 + 11*h + 2. Let u(o) = 1314*o**3 + 70*o**2 - 5*o - 1. Let f(g) = -3*a(g) - 7*u(g). What is the third derivative of f(s) wrt s?\nAnswer: -7884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1328*b - 1330*b + 1 + 2659*b. Let l(h) = -5*h**2. What is l(y(o))?\nAnswer: -5*o**2 - 10*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377541.\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 + 298. What is the greatest common factor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 1903*f**2 - 57153*f\/5 - 257067\/5.\nAnswer: (f - 9)*(f + 3)*(f + 9521)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93781 or -0.1?\nAnswer: 93781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.489, 0, 1\/5?\nAnswer: -0.489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44896.91 - 44896. Sort -11, j, 1\/3 in increasing order.\nAnswer: -11, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.344 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -2*r - s, -2*s = 5*r - 19. Suppose 211 = o - 23. Suppose -r*c + 191 + o = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**2*y**4 + 13*p**2*y**3 - p**2 + 2*y**2 + 151 wrt y?\nAnswer: -72*p**2*y + 78*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13031297?\nAnswer: 401, 32497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 - 378*g**4 + 2160*g**3 + 162*g**2 - 19683*g + 29160.\nAnswer: 3*(g - 120)*(g - 3)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 564, 693, 820, 945, 1068, 1189, 1308?\n\"Answer: -i**2 + 132*i + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2 - 3*n + n)*(-5 + 1 + 5)*(3170*n - 71*n**3 + 317*n**3 - 3169*n) to s + u*n**4 + b*n**3 + w*n + o*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:29 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59937, -239758, -539461, -959046, -1498513, -2157862, -2937093?\n\"Answer: -59941*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-8)\/(-40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(81)\/(sqrt(15)\/sqrt(5)*-6))\/(sqrt(729)*-2*-4 - sqrt(729) - sqrt(729)) + -1).\nAnswer: sqrt(3)\/162 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 6 - 6*p - 3*p**2 + 4*p**2. Let d be t(6). Solve d = -2*o + 2 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -57\/4 and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 - 2*c - 6. Let w(n) = n - 13. Suppose 3*z = -b + 29, 3*b - 2*z + z - 47 = 0. Let s be w(b). Suppose -t + s*t = -15. Determine m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 508597 and 15?\nAnswer: 7628955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 476 = 2*t, -u = -t + 4 + 248. Suppose -t*v + 254*v = 816. What is the greatest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 747*x + 5. Is i(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 2*n - 6*n + 4*n to the form u + a*n and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3971 and 82764.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2.2, -5, -51.1, 3, 4, 0.5, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-1\/30)\/(o**(2\/23)*o**1) assuming o is positive.\nAnswer: o**(-2648\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9771576 divided by -3?\nAnswer: 3257192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(170)*-3 - sqrt(170) - sqrt(170)))\/((2*sqrt(60))\/sqrt(6)))*2*4.\nAnswer: -24 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.138, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*l - 19, n + 28 = -0*l - 5*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-45)*(-15)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222525?\nAnswer: 5, 7, 11, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 55*z**2 - 10*z + 251. Let b(x) be the second derivative of x**3\/3 - x**2\/2 - 176*x + 1. Let a(g) = -5*b(g) - q(g). Differentiate a(w) wrt w.\nAnswer: -110*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let h(k) = -10*k**2 - 8*k. Determine m(h(x)).\nAnswer: -20*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*t - 10, 0 = -w - 3*w + 4*t + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - 6*n + 9. Let j(s) = -2*s**2 - s**2 + 3*s - 4 + s**2. Let o(m) = 9*j(m) + 4*k(m). Find the second derivative of o(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4906636ns?\nAnswer: 0.0004906636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 102\/15 + 2\/10. Suppose 472 = -h*p + 2971. Let r = -150 + p. What are 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 the tens digit of 590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**4 - 9021041*a**2 - 525369869*a.\nAnswer: -216*a**2 - 18042082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15124429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + ((-630)\/81 - 13).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z + 7378 = -10220. What is the remainder when z is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417062 and 604.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 8:01 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210211021 + -112?\nAnswer: -2210211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 276265, -0.2 in descending order.\nAnswer: 276265, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4050, -4049, -4048, -4047, -4046?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*s**3 + 553*s**3 + 504*s**3 + 2*s**2 - 1564*s**3 + 0*s**2 - 2*s**2.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/5 - (-1)\/5. Find the second derivative of 0*m**3 + m**3 - 2*m + v*m wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from diimdishmiiimmi.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 276, 619, 1090, 1683?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - w = 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1612 by -403.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/9 - 62*s\/9 + 20\/3 = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141234, -282334, -423296, -564120, -704806, -845354?\nAnswer: -985764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3789322ml?\nAnswer: 0.0003789322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762402.\nAnswer: 2, 797, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*302\/320)\/((-6)\/(-4)). Let r = 35\/8 + n. Solve 0 - 6\/5*p + r*p**2 = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**5 - 2625*h**4 - 323920*h**3 + 5510700*h**2 + 5832000*h = 0.\nAnswer: -270, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -887, -1880, -3239?\nAnswer: -4964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-64)\/(-84) + 1\/(-3))*7. Solve i*q + 15 = -g, -4*q - 10 = -g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 709 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(0*o - 10*o + 2*o) + 0*o - 6*o + 4*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + sqrt(448))*-1 - sqrt(448))**2 + 1*(sqrt(448) + 1 - sqrt(448)).\nAnswer: 32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (0 + sqrt(2))*-1) + -1)*6 + ((sqrt(20)\/(sqrt(15)\/sqrt(3)))\/((sqrt(2) - (sqrt(2) - sqrt(32)))*2))**2.\nAnswer: -191\/32 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:54 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -1\/60*v**5 + 1\/3*v**3 + 5\/24*v**4 + 0 - 5*v - v**2. Let b(d) be the first derivative of g(d). What is b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1176)\/(-66) - (-2)\/11. Suppose -n = h - 47. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -111151630?\nAnswer: 111151633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -31.77. Let i = 0.03 + t. Let x = -3 + 4. Which is the closest to x? (a) i (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**2\/a)))\/a**(-4\/7))**41\/((a**0*a\/(a*a\/(a*a\/a**(2\/11))))\/(a**0)**(-2\/21)) assuming a is positive.\nAnswer: a**(4898\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.7.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977251990 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 51728, -2.7, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206329 = 2382*l + 1511*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-2) + (-5 + 4 - 0). Suppose 11*v = v + 30. Suppose -z*m = -v*b + 728, 3*m + 487 = b + b. What are the prime factors of b?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/20 - 7\/4. Put -14, c, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65731 and 220.\nAnswer: 65951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(175) - sqrt(7))*1)**2.\nAnswer: 6727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.032722?\nAnswer: -2.032722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4176175 (base 9) in base 8?\nAnswer: -10415577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 78*i**2 - 6*i + 8. Let p(s) = 703*s**2 - 57*s + 76. Let y(a) = -57*l(a) + 6*p(a). Let v(f) = 4*f. Determine v(y(g)).\nAnswer: -912*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/(-1*(-7 - -11 - -5))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let s(i) = 181805*i + 3. Give s(a(c)).\nAnswer: -181805*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 70*k + 487. Calculate c(24).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 + 140*p**3 + 832*p**2 - 1088*p - 7680 = 0.\nAnswer: -4, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 660*s + 2607. Give q(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263985 - 2850307 = -2*c - 4*j, 12931547 = 10*c - j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let t(l) = 28*l**2 + 31*l**2 - l**2 + 73*l**2. What is n(t(g))?\nAnswer: -131*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162352.0442 - 45.82.\nAnswer: -162397.8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10799 = 38*z + 9013 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {p: 2, j: 8, u: 8}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 14 = -76. Suppose -17*b - 1 = -s*b. Let c be -14*(b - 18\/14). Solve c*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9732*i - 61 = -9733*i + 77. Calculate the remainder when 285 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11854, 11828, 11802, 11776?\n\"Answer: -26*q + 11880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21724*i**2 + 43452*i + 8.\nAnswer: 4*(i + 2)*(5431*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n + 1. Let a be i(3). Let d = a + 6. Calculate the smallest common multiple of d and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbb. What is prob of picking 1 t and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-2*h**3 + h - h) - 4*h**2 + 4*h**2 - 2*h**3 - 3*h**3 + h**3 - h**3 - 11*h**2 + 11*h**2 - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 920, 7, -5.\nAnswer: -8, -5, 7, 920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7378.9 - 50.08678\nAnswer: -7428.98678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -1.609963.\nAnswer: 0.12879704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30ee9 - -4?\nAnswer: 30eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/120 - f**4\/24 - f**3\/3 - 2*f**2. Let i(j) be the first derivative of v(j). Find the first derivative of i(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10733619?\nAnswer: 3, 13, 157, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 2 - 3 + 6*h. Let o be d(4). Calculate the highest common divisor of o and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 479\/88 + -45\/8. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2810, -22118, -74416, -176198, -343958, -594190, -943388, -1408046?\n\"Answer: -2749*t**3 - t**2 - 62*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.3 and -206560858.69.\nAnswer: -206560818.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100727*b**3*z + 10038406*b**3 - 153*b*z wrt z.\nAnswer: -100727*b**3 - 153*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7847\/(-114))\/59 - 11\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = -g, 0 = 5*w - 7*g + 4*g - 32. Suppose -10 + 6 = -w*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**2 + 15*k. Let n(x) = 5*x**2 - 8*x. Let c(g) = 5*n(g) + 2*w(g). Let c(h) = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/((l\/(l**(-7)\/l))\/l))\/(l**(-2\/21)*l*l)**(-3\/5) assuming l is positive.\nAnswer: l**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 621*q**2 + 608*q**2 - 1617*q**2 - 6 + 595*q**2.\nAnswer: 207*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Suppose 1793 = 399*k - 388*k. Let q(l) = -495 + 167 + 167 + k + 162*l. Calculate q(i(j)).\nAnswer: -162*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4923*x - 17048. What is f(4)?\nAnswer: 2644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 21. Let u be q\/56 - (-7)\/8. Let p(i) = 2*i**2 - 5*i**2 + 3*i - i**3 + 2*i**3. Let f(y) = -y**3 + y**2 - y. Calculate u*p(x) + 3*f(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 + 3*n - 44. Let y(m) = -4*m**2 + 3*m - 46. Determine -4*x(l) + 3*y(l).\nAnswer: 8*l**2 - 3*l + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqh when three letters picked without replacement from {h: 2, q: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 572*w - 16. Let y be p(12). Suppose y = -h - 3*h. What are the prime factors of h\/(-24) - (1 - -1)\/6?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (454 + -451)*(-1 + 2)*(-80)\/(-12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(1\/13) assuming h is positive.\nAnswer: h**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + c - 4*l - 13, -42*c + 67 = -46*c - l for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 401\/38, -4\/9 in decreasing order.\nAnswer: 401\/38, 0.03, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -1071 + 72. Solve -45*p - 16 = -m*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 53*v**4 - 3*v**2 - 7. Let g(z) = 160*z**4 - 8*z**2 - z - 22. Let l(n) = 3*g(n) - 8*y(n). What is the second derivative of l(i) wrt i?\nAnswer: 672*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578910641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1001 - -421004?\nAnswer: 422005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -236629 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5641 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = 0, -2*u = -3*u + 2*v + 635. Calculate the remainder when u is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18 - 4*v**2 - 22 - 8 + 32*v. Let p(z) = -28*z**2 + 224*z - 336. Let q(h) = -3*p(h) + 20*w(h). Factor q(x).\nAnswer: 4*(x - 6)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -317 at most -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q**3 - 1 - 102*q**3 + 8*q + 57*q**3 as z*q**2 + y + k*q + r*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11262709 is divided by 247.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*o - 489 = 0, 5*o = 4*c + 282 - 929. Is 152 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 33. Let t = 40 - 40. Let q be i(t). Calculate the smallest common multiple of 16 and (-3 + q\/(-9))*33.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, -1\/5, 2.76, -941?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511567056.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*m = 22, -3*y - 11*m + 9*m = -5. Let p(n) = -n + 1. Let g(d) = -4*d + 4. Determine y*g(c) + 5*p(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -3*z**5\/5 + 5*z**4\/4 + 2*z**3\/3 - 5. Let b(w) = 0. What is w?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 7*o + 20. Let q(j) = 29 + 1 + j - j**2 - 2*j**2 + 10*j. Let f(i) = 8*g(i) - 5*q(i). Is f(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3\/568?\nAnswer: 3\/568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*i + 8. Suppose -110 = -0*w - i*w. Calculate the smallest common multiple of w and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1*2\/(-40). Suppose 6*h - 3*h = 21. Suppose 6 - h = -k. Are k and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**2 - 6*a + 14*a + a**3 - 2*a - 10*a - 2. Let o(m) = 4*m**3 - 25*m**2 - 13*m - 7. Let b(k) = 2*o(k) - 7*q(k). What is b(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7199028511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -612*j**2 + 1 + 589*j**2 - 1. Let m(g) = -2*g**2. Give p(m(a)).\nAnswer: -92*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*d = 169 + 91, 5*d = 3*n - 124. Calculate the greatest common divisor of 72 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14899 - 14809. Solve 0 = -4*r + 5*z, -5*z - w + 70 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 17\/3)\/((-1)\/(-12)). Let t be z\/(-14) - 894\/(-21). What is the highest common divisor of 147 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 41006442. Let j = q + -4203221. Round j to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210007209 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1538, -3166, -4794, -6422?\nAnswer: -8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8681\/6561 or 2?\nAnswer: 8681\/6561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - 20*k**2 + 102*k - 9. Calculate y(5).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*m = -j - 20, j + 3*m = -10. Which is the nearest to j? (a) -0.4 (b) -3\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**7\/210 + z**4\/8 + z**2\/2 + 2*z. Let j(u) be the first derivative of x(u). What is the second derivative of j(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 7*n + 7. Suppose -7 = -3*c - 1. Let r(a) = -4*a - 18 + 2*a + 20. Determine c*z(b) - 7*r(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0540673 + -79318?\nAnswer: -79318.0540673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695517130?\nAnswer: 2, 5, 3137, 54049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/43484 and -67\/1273460.\nAnswer: 8914220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**2 - 105*b + 48. What is the thousands digit of s(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 110\/57, 8\/7, 0.0387?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 384*v + 583. What is the ten thousands digit of u(-101)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 12:52 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -38d?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.524032 rounded to two decimal places?\nAnswer: -31.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-172 - -178) + (16 + 3 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279656093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65088944 to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 1, z: 1}. What is prob of sequence zi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 + 4 = 0, -2*t - 4*u = -178. What is the third derivative of s**2 + t - 23*s**3 - 79 wrt s?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from xxmhcmccxx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f - 2. Let w(b) = -b**3 + 4*b**2 - 3*b. Let k be w(2). Suppose -k = 3*z - 8. Solve z*u - f = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 0.8694735 hours?\nAnswer: 0.0051754375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3 + 7. Let x be -1 - (-6 + 4\/2). Suppose 15 = t*l + x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000904179 rounded to seven decimal places?\nAnswer: -0.0000904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.854 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**7\/105 - l**6\/15 + 2*l**5\/25 + 83*l - 2. Suppose m(z) = 0. Calculate z.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 - 2*x**2 - 3. Is 29 a factor of q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/1 - ((-300)\/(-15))\/10. Solve -3*u = -2*y - g, -5*u - 3*y = -u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:30 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*y - 62 = y, 3*z - 2*y + 101 = 0. Put 2\/13, 0.4, z, 0, 0.3 in ascending order.\nAnswer: z, 0, 2\/13, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6588054 and 4455.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4\/(-4))*47\/(-94).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.03747074\nAnswer: -0.1873537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15598 is divided by 269?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 - 2 - (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2658357209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2533 and 246.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-5) + 4\/(-10). Let k(n) = 4 + t*n - 3*n - 1 + 0. Calculate the remainder when k(10) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100715 to the power of 1\/2, to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*1)\/sqrt(3))**2 - (0 + sqrt(128))*-1.\nAnswer: 8*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(5\/30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*r + 2 + 0*r + 0*r + r + 5*r - r - 3*r + (2*r - 5*r + r)*(2 + 0 + 0) - 5 - 19*r + 4 + 17*r)*(3 - 3 - 3*r) as b*r**2 + s + q*r and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:37 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**4\/4 + o**3\/3 + o**2 - 12*o + 118. Calculate the least common multiple of k(-3) and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*2*(25\/(-10) + 2). Suppose l = -4*c + 3, -s*l - 3*c + 15 = -4*c. Let u = 35 - 15. Calculate the remainder when u is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 278. Find the second derivative of 2*r**5 - 5*r**4 - 8655*r**3 + 8655*r**3 - m*r + 3*r**5 wrt r.\nAnswer: 100*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 3*r**2 + 46 + 15*r**2 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7265*p + 35. Let c(y) = -14538*y + 64. Determine 6*c(w) - 11*v(w).\nAnswer: -7313*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (0 - (-1 + 36)). Let z = 32 + s. Solve z*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b - -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n**2 + 0*n)*(24*n**3 + 14*n**3 - 11*n**3 + (3*n**2 + 0*n**2 - 4*n**2)*(4*n - n - 2*n)).\nAnswer: -52*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*k**5 - 30*k**5 + 0*k**5 - 2*k + 2*k + 2*k**5 + 2*k**5 - 3*k**5 + 3*k**5 + (3*k**5 + k**5 - 2*k**5)*(1 + 1 + 0).\nAnswer: -87*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-696)\/(-36) - 1\/3) + -7. Solve y*b - 80 = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868 is divided by 321?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 10:17 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 + 8*s**2 - 9*s - 5. Let b(x) = -x**3 - 4*x**2 + 4*x + 2. Calculate 5*b(l) + 2*q(l).\nAnswer: -l**3 - 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(270))\/sqrt(9) - sqrt(30))\/(sqrt(10) - -5*sqrt(10)*-6).\nAnswer: -sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12228, -11640, -10806, -9726, -8400, -6828?\nAnswer: -5010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33298, 33280, 33236, 33154, 33022, 32828, 32560, 32206?\nAnswer: 31754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1185341561+-2\nAnswer: -2.1185341561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4410 - -66179\/15. Find the common denominator of 55\/54 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2. Let i = 6 - 3. Suppose n + 3*k + 0*k = -11, i*k = -12. Let y be c(n). Solve 0 = -5*h - 5, s + 4*h - 1 + y = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -13*s**6\/6 + 4*s**3\/3 - s**2 + 60. Find the third derivative of y(f) wrt f.\nAnswer: -780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 2*l**4 + l**4 + l + 2*l**4 - l + (0*l - 2*l**3 + 0*l)*(0*l + 0*l - l) + (-2*l**3 + 9*l**3 + 7*l**3)*(2 + l - 2)*(-5 - 2 + 6)*(6 - 4 + 1).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8035186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.635 - -0.235. Suppose -1 = -2*y + 7. Suppose -5*b + 5*h = 4*h - 13, -y = 4*b + 4*h. What is the second biggest value in -0.1, l, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 + 13 - -1469) + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3958949, -7917901, -11876853?\nAnswer: -15835805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/12 + d**3\/2 - 2*d**2 + 4*d. Let o be b(-6). Solve q - 24 = -5*r - q, 4*r - q = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -6 + (12 - 6 - (9 - 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003.247 months in millennia?\nAnswer: 0.16693725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 192*g**4 + 3*g - 45*g**2 + 7*g - 3*g + 144*g**3 = 0.\nAnswer: -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.2, 2\/5, 0.1, 2\/3 in increasing order.\nAnswer: -4\/7, -0.2, 0.1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*c - 2 = -3*c, 0 = -3*c + 6. Let m be 6\/(-10) + (-2)\/v. Let f(w) = w. Let r(z) = -2. Give m*f(h) + r(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4) + -11 - (-22 + (-11 - -21)) - -112?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007782742 to six dps.\nAnswer: 0.007783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296779098 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -7*y**5\/60 - 6*y**2. What is i(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13575259 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjcjjjjjcjccj. What is prob of sequence ccj?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/7)*o)**(-43)*o**(4\/5)\/o**(-3) assuming o is positive.\nAnswer: o**(-3092\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(150)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + ((-1 + sqrt(325)*2 - sqrt(325) - sqrt(325)) + (-6*(-2 + sqrt(325)) - sqrt(325)))*-2)*-5)**2 + 5.\nAnswer: -1603520 + 73500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 2. Let q be i(2). Suppose -q*n - 3*n + 15 = 0. Let j be (6\/15)\/(1\/5). Solve 0 = -n*v + j*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223020 (base 4) to base 16.\nAnswer: -ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**6\/120 - n**5\/8 + 3*n**4\/4 - 7*n**3\/3 + 4*n**2 - 4*n - 16. Factor w(r).\nAnswer: (r - 4)*(r - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3\/5 + 1108*q**2\/5 - 87884*q\/5 + 1483868\/5 = 0?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (46 - 87) - -15\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 - 6*m + 9. Let c(x) be the second derivative of -5*x**4\/4 - 13*x**3\/6 + 19*x**2\/2 + x - 19. What is -13*b(o) + 6*c(o)?\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 65. Let r(i) = -2*i + 29. Calculate the remainder when 96 is divided by r(q).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 791560425 by -158312085.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2675 is divided by 122.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let z(v) be the first derivative of 5*v**3\/3 + 24. What is o(z(a))?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(162) + 2) + sqrt(162))**2 + sqrt(162).\nAnswer: 441*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*((-8)\/(-6))\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*o*u**5*y**2 + 236*o*u**2*y - 2*o*u*y**2 - 19*o*y**2 + 35*u**3*y**2 - 4*u**2*y**2 + 2*y wrt u?\nAnswer: 4560*o*u**2*y**2 + 210*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 37*o**2 + 3*o + 6. Let r be c(-5). Suppose 110 = -3*h - 4*v + 648, 5*h - 3*v - r = 0. List the prime factors of h\/35 + (-2)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12263571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7051, -7052, -7055, -7060, -7067?\nAnswer: -7076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 - k. Let x be z(-1). Let b = 75 - 103. Let h be 34\/(-6) + b\/(-42). Is x != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from iaaaibibaiiiai?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 11\/5, -144?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46798 is divided by 683.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 1 = 2*c, -5*c - 35 = -4*v. Let q(y) = -8 - 2*y**3 + 3*y**3 - 6*y**2 + 5*y + 2. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/139)\/(6412\/1832)\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = -30. Let p = 32 + g. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/5 - 30*s**3 - 138*s**2\/5 + 734*s\/5 - 444\/5 = 0. What is s?\nAnswer: -74, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/340 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/664425 and -17\/221475.\nAnswer: 664425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11924.88 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 40679448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 + 95*b - 49*b + 248*b**3 - 46*b - 114 wrt b.\nAnswer: 744*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 95*p + 466. Determine n(-52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -4*m - 0*j, -j - 4 = -2*m. Suppose m = -2*s - 0*s + 48. Let d = -17 + s. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 15 = 0, -5*d + 158 = 4*s + 153 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.8, 6, 5 in ascending order.\nAnswer: -8.8, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/136 + -539\/680. Let w = 13 - 13.9. Let v = w + -0.1. What is the third smallest value in v, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - (49 + 1)) + -1 + -30.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = 7 - 7. Let w(t) be the second derivative of 11\/2*t**2 + 3\/10*t**5 + 0 + k*t**4 + 11*t + 0*t**3. Find the first derivative of w(b) wrt b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7851*a*k**2*w**3 + a*k**2*w**2 + 74*a*k*w**2 - 6*a*w**3 - 572*k**2*w wrt w?\nAnswer: -47106*a*k**2 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/12 + -5\/12. Let q = 23 - 23.9. Let u = q + 1. What is the closest to -2\/3 in 0.4, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1254403 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-96)\/(-62)) - (-76)\/19. Which is the nearest to -1? (a) 4 (b) -11 (c) 3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9 and 11\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = 4*x, -2*x - 3*i - 13 = 3*x. What is the nearest to -2\/13 in -1, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000171730585 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 - 5*q**3\/2 + 45*q**2\/2 - 136*q. Let u be v(5). Let p be ((-48)\/(-20))\/(6\/20). What is the biggest value in u, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/9? (a) 6 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3600919 > -0.098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*c + 577*c = 1540. Is -1537\/4 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 23 (b) 1 (c) -10.7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.129 and -0.37?\nAnswer: -0.04773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 547884?\nAnswer: 1\/273942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f + 1. Let r(d) = -9*d**2 + 11*d + 11. Give -2*r(h) + 22*s(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*l - 182*l - 4*g = -21908, 0 = -2*l + 5*g + 43790. Suppose 222*k + l = 234*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.25 * 0.5\nAnswer: 27.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 5*j - 2*j)*(-6*j - 3*j + 3*j + (-j - 4*j + 3*j)*(5 + 0 - 3) + (4 + 3*j - 6*j + 4*j)*(0 + 0 - 2)*(2 - 3 + 3)) as k*j + y*j**2 + i and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*x + 2 = -7, 5*x = 4*i + 22. Let r be (-16)\/3 - (-1)\/3. Let f be (-30)\/(-135) - (58\/18 - -1). Sort r, f, i.\nAnswer: r, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 125319924, 250639846, 375959768, 501279690, 626599612, 751919534?\n\"Answer: 125319922*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:56 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2*4 + sqrt(104) - sqrt(104) - sqrt(104))\/sqrt(8))**2 - ((sqrt(13) + -4*(-1 + sqrt(13)) - sqrt(13)) + 5).\nAnswer: 4*sqrt(13) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/8262 and -8\/81?\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4102, 8247, 12446, 16717, 21078, 25547, 30142, 34881?\n\"Answer: 3*f**3 + 9*f**2 + 4097*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 8*d + d. Determine k(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3191 not equal to 13\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 - 2*h + 5. Let w(m) = m**2 + 9*m + 4. Let g be w(-8). What is the remainder when b(g) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 6 + 20 + c + (1 - 2*c - 1)*(0 - 4 + 3) + 1 - 1 + 2*c + (1 - 2*c - 1)*(-2 + 2 + 2) + 3*c - 5*c - c.\nAnswer: -2*c + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 6231, 3, -1 in decreasing order.\nAnswer: 6231, 53, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1305994*q**4 + 4*q**2 - 1763*q - 32?\nAnswer: -31343856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5262644, -10525269, -15787894, -21050519, -26313144, -31575769?\nAnswer: -36838394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -v + 24, -v - 4*f = -f. Let o be 255\/102*(-1 + v\/5). Solve -o*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1658648 - -2087374.29?\nAnswer: 2087374.1241352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 641748249.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 7*q - 12. Solve q*i - 5 = -z + i, -3*i = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18130190 divided by -178\nAnswer: 101855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -68. Solve 5*l + n = -2*u, 11 - 1 = -2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xlllllxlxxxlxg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + 5. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -2102120?\nAnswer: -2102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -4\/3, -6\/11, 4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 21*l - 52. Let y be a(-5). What is the units digit of 6771\/33 - (175\/55 - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287747 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 149*q - 2232. Let d be h(-17). Solve -54 = d*s - 3*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -1 (c) 1 (d) -261 (e) -4 (f) -5.1 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/210 + f**6\/120 + 9*f**2. Factor l(o).\nAnswer: -o**3*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1039, -2\/7, -1, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/(3887\/(-169))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 32 = 62. Let z be -2 + (-3865)\/3115 + f\/(-2). Let u = -4\/89 + z. What is the third biggest value in u, 0.3, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 114, 0.02, 4?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 217818500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2324183, 2323972, 2323775, 2323598, 2323447, 2323328, 2323247, 2323210?\n\"Answer: o**3 + o**2 - 221*o + 2324402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0 + 5\/12*p**4 - 13\/18*p**3 + p - 1\/3*p**2. Factor d(f).\nAnswer: (f - 1)*(15*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((1\/(-4))\/(-1)). Calculate the remainder when (-157)\/(-4) - 1\/o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9*(1 + 50). Suppose 0 = -i - 118 + f. Let b = i + 143. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i**2 + 6 - 6)*(-i - i**2 + i) - 5*i**2 + 2*i**4 + 5*i**2 - i**4 - 2*i**4 + 4*i**4 + (6*i - 3*i - i)*(-2*i**3 + 0 + 0).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6))\/((-1180)\/(-8496))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*j - 14 + 14 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssggprrrrp. What is prob of picking 1 p and 2 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n**(-6))**(-2\/41)\/(n**(-4\/3)\/(n\/n**(1\/9)))**19 assuming n is positive.\nAnswer: n**(15670\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 40 = -2*b, 0 = -5*b - 4*f + 103. Suppose -2*o = 35 - 127. Calculate the highest common divisor of o and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47934 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 4.14. Let l = -3 + 1. Let s be l - (10\/(-8))\/1. Which is the nearest to 0? (a) s (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23249049 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 3*g**4 + g**4 + g**2 + 0*g**4 - 2*g + 17 to f*g**2 + m + n*g**4 + s*g**3 + j*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - 2*w)*(-170 - 307 - 329 + 130).\nAnswer: 2028*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*u = 66352 + 70123. What are the prime factors of u?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 53*h - 677. Let m be l(-31). Solve m*k = 5, -10 = 2*i - 15*k + 17*k for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7946, 31687, 71256, 126653, 197878?\nAnswer: 284931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.6. Let x = 115\/1116 + 1\/124. Let w = -65\/4 + 16. Put k, w, x in decreasing order.\nAnswer: x, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l - 9802 = 282*l + 225*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2279500 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10676 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*x + 4 = -2*x, 4*m = -5*x - 2. Let g(o) = o**2 + 0*o**m + o**2. Let b(t) = -8*t**2. Calculate b(g(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 23 = -p, l - 46 = -2*p - 2*l. Suppose 4*u + 2*o + o = 69, 5*u = 3*o + 66. Suppose u = 2*a - p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 6*a + 9. Let d be i(-6). What is the remainder when d*((-8)\/(-2) + 2) is divided by (-43 + 49)*(-3)\/(27\/(-21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:56 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 49.509, 0.01, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2329732.8 months to millennia.\nAnswer: 194.1444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from vfffjjjvfofjvjv?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - 2 - 4*i + 3*i. Let t be 4\/(-3)*(-4 + 1). Let b(y) = -8 + 0 + 2 + y + 7. Calculate t*b(h) + 3*m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1782.840715 to 1 decimal place.\nAnswer: -1782.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, -0.17, 110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 5. Let l be o(3). Differentiate -5 - 1 + 2 + 5*p**l wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 31.\nAnswer: -4, 0.4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75886.11 decades to millennia.\nAnswer: 758.8611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -391?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 22*w**2 - w**3 - 6 - 4 + 15 + 13. Let p be a(-22). Let x(r) = -r - 4. What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 14 - -6) + (23 + -45 - -13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104)*-1 - sqrt(104)))*-6*6)\/(sqrt(24)\/(sqrt(75)*-3 - sqrt(75)))*1.\nAnswer: 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e8d15 (base 16) to base 10.\nAnswer: -2002197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047977 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/742254 and -64\/175797.\nAnswer: 6680286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737.999339 + -738. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*(-2 - 2)\/(-4). Let r be ((-5)\/d)\/((-18)\/(-126)). Suppose y + 2*u = 40, 0*y - y + 25 = r*u. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*s + 19, 2*f + s + 1 = 3*f. Suppose 0 = 2*c + 8, -5*j - 23 = -0*j + 2*c. Is j >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.087, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:56 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57065141 and 40362.\nAnswer: 6727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/74 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -780.0361 - -780. What is m rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21))\/sqrt(3) + (sqrt(56) + sqrt(14))\/sqrt(2).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((12 - 4) + -3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9260 = -28*g + 8*g. Let n = g - -464. Calculate the smallest common multiple of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 2*p - 3)*(3 - 10 - 9) + 84 - 11 - 38 - p)*(-5*p + 5*p - p) in the form w*p + t*p**2 + l and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540 divided by -1180?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217034665?\nAnswer: 5, 7, 11, 3161129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29242164, 29242158, 29242152, 29242146?\nAnswer: 29242140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllalalll. Give prob of picking 3 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1645 divided by 7.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 0*z - 2*z + (-2*z + 3*z - 3*z)*(1 + 2 - 1) + 3*z - 2*z - 3*z + z - 3*z + 4*z - z + 0*z + 3*z + 20*z + 25*z - 17*z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8767, -17591, -26415, -35239?\n\"Answer: -8824*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 282328154 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -188*x**2 + 0 - 1\/6*x**4 + 0*x**3 + 0*x. Let i(c) = -4*c + 3. Calculate i(d(v)).\nAnswer: 16*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02259 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14)\/(f\/(f**(-7\/2)\/f)*f))**(-36) assuming f is positive.\nAnswer: f**738","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*u**2 + 16*u**2 + 149087 - 74553 - 74534.\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/805 - 813\/6440. Which is the smallest value? (a) i (b) 5 (c) -2 (d) -0.5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.5 + 31.7. Is i at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 14*w**2 - 31*w - 26. Let n(p) = 2*p**2 - 5*p - 122. Let z be n(-7). Determine y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*n - 15 = 0, -678*n + 171 = 5*c - 677*n. Suppose 4*w + w = 350. What is the greatest common divisor of c and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let h = -1467.675 + -1.325. Let k = h + 1474. Which is the smallest value? (a) f (b) -2 (c) 0.8 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -1101101011110010?\nAnswer: 1101101011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89644180 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -27*w**4\/4 + 147*w**3 - 327*w**2\/4 - 10311*w\/2 - 1140 = 0.\nAnswer: -5, -2\/9, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 767, 0.304, -3\/5?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 0.7, 5\/14, -2?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 + 0*t**5 - 3*t**2 + 3*t**6 - 2*t**5 wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f**2 + 0*f)*(1580*f + 344*f + 739*f).\nAnswer: -5326*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2714 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*n - 25*n - 18*n)*(-5 + 2 + 4)*(-2 - 2 + n + 5) to c + p*n + q*n**2 and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 20. Let s be (-7)\/14 - (-58)\/r. Solve -6 = -4*a + s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 217.255 and -0.5.\nAnswer: 216.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-24)*(-42)\/105. Which is the closest to -2\/9? (a) 0.4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*q**4 - 55*q**4 + 172*q**4 + (-1 + 1 + 2*q**3)*(-q + 0*q + 2*q) + 54*q**3 - 54*q**3 + 2*q**4.\nAnswer: 246*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 - 2*q + 4. What is c(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5) + 0 + (sqrt(30) + sqrt(270))\/sqrt(6) + 1.\nAnswer: -4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 31*f + 80*f - 77 + 69*f - 24*f. Let h(i) = 311*i - 150. Let u(a) = 6*h(a) - 13*o(a). What is the derivative of u(s) wrt s?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(216))\/(sqrt(32)\/sqrt(4)*-1) - (sqrt(147) - sqrt(147)*-4 - sqrt(363)*3)**2.\nAnswer: -12 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)*x)**(1\/4)\/((x**(-3)\/x)\/(x*x\/x**(-1\/7))) assuming x is positive.\nAnswer: x**(737\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t + 3. Let k(i) = -74*i - 11. Let r(u) = -22*j(u) - 6*k(u). Let x(b) = 4*b. Let z(f) = 4*f. Let o(s) = -2*x(s) + 3*z(s). Give o(r(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -799 + 796. Which is the fourth smallest value? (a) 2\/11 (b) -2 (c) 2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -3 - (2 + (50 - 59))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**5\/20 - 17*a**4\/8 + 385*a**3\/12 - 363*a**2\/2 - 10583. Factor i(w).\nAnswer: w*(w - 12)*(w - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = c + c - 5, -7*d + 40 = 4*c - 5*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/168 + 530\/14. Let l(o) = n*o + 36*o - 106*o + 35*o. Let s(d) be the first derivative of 3*d**2\/2 - 1. Determine l(s(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(4 - -32))\/((-28)\/8)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66500 and 1347556?\nAnswer: 168444500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6294869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/5)\/r)\/r)**(2\/3) assuming r is positive.\nAnswer: r**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 1694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 30*d - 873. Let z be b(26). Which is greater: 368 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and -33\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-19\/4)\/m)\/m)**(-6\/5)*(m*m**32)\/(m**(-19)*m))**(18\/7) assuming m is positive.\nAnswer: m**(5319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 7*c - 16. Let t(d) = 4*d**2 + 12*d - 31. What is -7*a(r) + 4*t(r)?\nAnswer: 2*r**2 - r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**2. Let k(z) = -936*z. What is k(b(l))?\nAnswer: 5616*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12372645*a**3 - a**2 + a - 138904 wrt a.\nAnswer: 74235870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3*t**3\/2 + 1685*t**2\/2 + 30*t - 1. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4. Suppose 21 = -11*p + 4*p. Let h(u) = 8*u - 24. Let j(w) = -3*w + 9. Let t(s) = 4*h(s) + 11*j(s). Calculate p*t(y) + 2*o(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:28 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176374 by -1.\nAnswer: 176374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 - -148.5. Let t = -391 - -1171\/3. Put t, p, -1\/6, -68 in decreasing order.\nAnswer: -1\/6, p, t, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)\/(f*f**(-1\/7)) assuming f is positive.\nAnswer: f**(-51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 3*j - 2. Let n be d(5). Suppose -3*w - 13 = -4*w. Suppose -1 = -2*u + w. What is the greatest common factor of u and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 9*n**2 - 9*n + 14. Calculate x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11665612 at most -11665610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 206.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.2 - 18.2001393. Round c to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -3818, -8605, -15308, -23927?\nAnswer: -34462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**3*y**3 - 6*q**3*y**2 + 4*q**3*y + 3*q**2*y**5 + q**2 wrt y.\nAnswer: 36*q**3 + 180*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1808, -7910, -18088, -32348, -50696, -73138, -99680, -130328?\n\"Answer: -m**3 - 2032*m**2 + m + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 53. Let v(g) = -g - 1. Let h(k) = -l(k) - 5*v(k). Let z be h(24). Solve z*a + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.6474 years to centuries.\nAnswer: 8.246474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 4 + 4)*(-4*f - 16 - f + 18) + 2*f**2 - 4*f**2 + 0*f**2 - 3 - 3*f**2 + 3 + (1 + 2*f - 1)*(f + 2*f - 4*f) as j*f + h + w*f**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q + 4*b = -73583, 2*q - 3*b - 147166 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0697 to two dps.\nAnswer: -5.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/4 - 29403*y - 864536409 = 0?\nAnswer: -58806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -158*n - 151. Give z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 3*y**2 - 4*y + 8*y**2)*(170 - 103 + 182)*(0 - 1 + 0)*(-4 + 1 + 1)*(5 - 3 + 2) to g*y**2 + w*y + f and give g.\nAnswer: 9960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6412 (base 8) to base 7\nAnswer: 12506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 545789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/7, 2\/17057, -1, -2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a = 40*a - 63 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 7)\/3 - (-2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286975 and 650.\nAnswer: 573950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3320586 is divided by 1145?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 888\/60*(-35)\/42?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185851574.\nAnswer: 2, 3, 53, 673, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 206540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58\/173 + -2028\/5017. What is the second biggest value in 4, b, -0.11, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*a**2 + 0 - 4\/5*a**3 - 376\/5*a.\nAnswer: -4*a*(a - 94)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2022, -0.4, 1\/4, -305, 0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 959, 1, 1286, 5 in descending order.\nAnswer: 1286, 959, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:38 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 8}. What is prob of sequence uuux?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 q when four letters picked without replacement from eqleeqql.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3244*q - 3239*q - 13620 = 0. Calculate the highest common factor of 48 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -51, -110, -193, -300, -431, -586?\n\"Answer: -12*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 6644*l - 6646.\nAnswer: 2*(l - 3323)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 65, 21 in decreasing order.\nAnswer: 65, 21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-8)*s)\/s)*s*s**0\/s*s**12*s*s\/(s\/(s*s**(2\/13))))**14 assuming s is positive.\nAnswer: s**(4032\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j - 3876 = 25*j. Calculate the remainder when j is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d**3 + 29*d**2 - d + 49. Let j(s) = -4*s**3 - 6*s**2 - s. Give c(t) + 5*j(t).\nAnswer: -t**3 - t**2 - 6*t + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30840 divided by -6168.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12)*127*-107. Let u = w + -3419. What is the common denominator of u and 109\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + (-180)\/13 + 80\/156. Which is the third biggest value? (a) 0.4 (b) -73 (c) -0.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o + 1243. Let b(x) = -8*x**2 + 189. What is i(b(w))?\nAnswer: 128*w**2 - 1781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 52 + 3326 = 102. What is the greatest common divisor of 532 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1393 divided by -12336\nAnswer: -1393\/12336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - z**2 + 1. Let l = -1 + 8. What is the least common multiple of l and n(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267 - -267.0266. Round n to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/5 - 3608*z\/5 + 7208\/5 = 0.\nAnswer: 2, 1802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, l: 4}. Give prob of sequence nnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/(-75) - -9)*3 + 4 + -36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17161*w + w**2 - 17161*w. Let o(s) be the second derivative of 91*s**4\/6 + 25*s. Determine o(f(d)).\nAnswer: 182*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -2 + (24 + -27 - -5) + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (3 + -55 + 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-291 + 291 - 662*t + (-3 - 3 + 4)*(t - 2*t - t))*(2*t**2 - 4*t**2 + 0*t**2) in the form i*t + d*t**3 + u*t**2 + z and give d.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*v = 113*v - 8. Suppose 0 = 5*j + 5*d + 5, -4*j = -7*j + v*d - 10. Put 5, 3, j in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-27 + 75 - (7 - 1)) - (-4 + 0).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40671 + 6*t**2 - 40671.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1807 + -813. Let j be (-6)\/(-3) + (-31390)\/12. Let p = j - m. Find the common denominator of p and 71\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8295 - 2619. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*1*(-10)\/15. Suppose 2*i = y*z - 0*z - 6, -4*i - 2*z = 0. Is i less than -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + (150689\/(-1092))\/(-19) - 90\/(-585)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(2*s**4 + 2*s**4 - 3*s**4) - 219*s**4 + 79*s**4 + 102*s**4.\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 + 2024*h**2\/3 - 1364175*h\/2 - 1366875.\nAnswer: -(h - 2025)**2*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 4*r - 8. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4706 divide 369849540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 1, -5, 0 in ascending order.\nAnswer: -5, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(119) + sqrt(119))*-2)\/(sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(7) - -1*sqrt(7)))*3)).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from ggdgmxd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2 - (-524)\/264). Round l to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 times 46182?\nAnswer: 1939.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96096 and 840.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 4. Let y be w(7). Let a(c) = -2 + 0 + 1 - 2*c. Does 5 divide a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from vbhzbzbvzbbbvzzvv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4\/3, -13618\/7, 3.1, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*s - 2856 = -355*s + 655*s. Solve 2*w + 90 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/324 and 52\/3969.\nAnswer: 15876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - (34 - (-8370)\/(-252))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -751410249.\nAnswer: -751410248.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50156651 and 1082?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/28 - 2\/(-7). Suppose -p + r*p - 90 = 0. Suppose -4*y - y = -p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43277 + 61842836\/1429. Let c = 41381\/28580 + l. Find the common denominator of (3\/(-33) - 1)*(-6)\/(-4) and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 72009900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -273\/4. Let w be 3\/(-8) - (-2)\/4. Which is the nearest to v? (a) 1 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031474 is divided by 172?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22\/3, -59, -3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - r + 1. Let a be g(1). Let j(p) = 3*p - 59. Let y be j(20). Suppose -4*z + a*i - 9 = 0, z + 3*i + y = 4*i. Solve -z*b = 5 + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-316)\/6)\/((-6)\/9). Suppose 5*p + t = 94. Solve -3*w - q = -2, -2*w = -2*q + p + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9798 and 11\/220810.\nAnswer: 15235890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 9*g**2 + 18*g + 1. Let m be h(-6). Let w(r) = 32*r**3 + r**2. Is w(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-2 + 26\/12)*((-39045)\/(-475) + -79)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2240 and -9\/545?\nAnswer: 244160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1322 (base 9) to base 3\nAnswer: -1100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Suppose t = 2*q - q. Let i(f) = 39*f**2 - f + 2. Let a be i(q). What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -723012 divided by 2.\nAnswer: -361506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**3 + 22*y - 22*y + (4*y + 2*y - 5*y)*(0 + 0 + 4*y**2) + 2 - 2 - 2*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -3\/2*t**2 + 1\/3*t**3 + 0 + 4*t + 1\/10*t**5 + 1\/4*t**4. Let c(s) = 5*s**3 + 7*s**2 + 5*s - 7. Determine -7*b(r) + 3*c(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 24, -5, -32, -57, -80, -101?\n\"Answer: o**2 - 34*o + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 776748 and 21168?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + (1 - 66) + 18 + -22 + 16?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -59. Let b be 30*(-1 - (-15)\/6). Let i = a - b. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 = -3*x - 13, -2*x = -5*s + 18. Let n be (3\/s)\/(5\/20). Solve -c - 20 = -n*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:38 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*c + 3*c - 2*c) - 5*c - 3 + 3 + (171 + 22*c + 5*c - 29*c)*(-3 + 4 + 1).\nAnswer: -10*c + 342","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.833320913896 - -1778.166680632104. Let v = q - 1779. What is v rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 688 - -11)*(-6)\/8. Suppose r*q + 32 = 511*q. Solve -q = 2*d - 4*u, d - 2*u + 12 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 99*l**2 - 96*l - 32. Let g be m(32). Which is the smallest value? (a) -24 (b) -2\/7 (c) 3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*i - 2180 - 668 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -48 (c) -0.1 (d) -6302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 595556853 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, p: 5}. What is prob of sequence pp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -2. Suppose -5*o + 3*o + 65 = 3*u, 5*o - 5*u = 175. Let m = 29 - o. Which is the second biggest value? (a) -2 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62103896.\nAnswer: 2, 113, 68699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-7)*(i\/i**(2\/3))**(-31) assuming i is positive.\nAnswer: i**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 3. Let v = -11 + c. Let r be (-2)\/12 + (-1 - 91\/(-6)). What is the highest common factor of r and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0 - 4*h**2 + 1\/60*h**6 + 0*h + 0*h**3 + 0*h**5 - 1\/24*h**4. What is the second derivative of w(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15288 (b) -1 (c) -1\/4 (d) 1 (e) 4 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6 - (-5012)\/42) + 4. Find the second derivative of -11*t**5 - 34*t + l - 123 wrt t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 861 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5913611 + 1111778. Let n(m) = -3295390*m**3 - 2*m**2 + 5*m + 6. Let q be n(-1). Let l = q - u. What is l rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 29*m + 15*m = -33160. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12cd + 4c?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3894853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + q + 28. Determine l(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1.1 (b) -3 (c) -1\/47 (d) -4\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16688465 is divided by 1043029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441\/(-18)*215\/301.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4 = 3*l, -25*l + v + 19 = -33*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 236123624 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*y + 25 + 18, 12 = -3*y. Let q be 5\/(-10)*(p - 1). Suppose 16 = 5*k + a, -4*a + 3*a - 8 = -3*k. Sort -1, k, q.\nAnswer: -1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -4 - 2 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**3 - 162*n**2 - 4. Let c(r) = 2*r**3 + 2*r**2 - 1. Give 6*c(o) - v(o).\nAnswer: -2*o**3 + 174*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + -5*sqrt(704)*2))**2 - ((1*(sqrt(396) + (-3*sqrt(396) - sqrt(396)))*1)**2 + -2).\nAnswer: 4320*sqrt(11) + 630119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) 0.02 (b) 5\/4 (c) 0.5 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*l**2 - 2 + 2 - 95*l**2.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48194.91s to hours.\nAnswer: 13.387475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 + 1\/6*x**4 - 1\/2*x**2 + 0*x**3 + 39*x - 3\/20*x**5. Let h be a(-1). Solve -h*u + 16 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + 33?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168256453.\nAnswer: 1049, 160397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000109437826 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108.968 + 0.032. Let g = c + -109.3. What is the nearest to 1 in g, 3, 15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/9 - 55\/18. Let z = 19967\/59262 - 55\/166. Let n = -8231\/3570 + z. What is the common denominator of k and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 791.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 4, w: 3, r: 4, k: 2}. What is prob of sequence kh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*u = -4391 + 239 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.07, -66 in descending order.\nAnswer: 3, -0.07, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 361267201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-50 - -53).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 81 = 0. Suppose -7*i - a = -4*i. Suppose -o + 2*w = -6*o - 44, 0 = -4*o - w - 34. Is i equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 89*l**2 + 346*l - 17. What is j(85)?\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (3 + -3 - -162). Let t = x - 95. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.856678682 to five dps.\nAnswer: 0.85668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448448 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 315?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*j - 2*c, -3*j - c + 1 = 34. Let n(z) = -z**3 + 3*z**2 - z - 2. Let b be n(j). What is b rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 1. Suppose c = -q + 2*t + 2, 0 = -3*t + 9. Let b be (-88)\/24*q*9. Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**6 + 56*f**5 + 86085*f**2?\nAnswer: 960*f**3 + 3360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 14. Let k = f - -26. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154.4 and 6.461.\nAnswer: 997.5784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z)**22\/(z*z\/(z*z\/(z*z**1))*(z\/(z*z\/z**(1\/2)))\/z) assuming z is positive.\nAnswer: z**(-313\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:09 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.01 and 265841096.7?\nAnswer: 265841085.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14274 is divided by 795.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7\/(-2))\/(273\/(-313716))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**3 - 4*k**2 + 3*k - 2. Let j(g) = -14*g**3 - 5*g**2 - 6 + 0*g**2 - 23*g - 6*g**2 + 32*g. What is -4*j(z) + 11*v(z)?\nAnswer: z**3 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:07 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-1)\/4). Suppose -17*v + 20*v - 60 = 0. Suppose -k*z + 5*z = -v. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36539 is divided by 623.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 4, -2, 6062, -5 in descending order.\nAnswer: 6062, 4, 1, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -902, -903, -906, -911, -918, -927, -938?\n\"Answer: -l**2 + 2*l - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*m + 3, -3*u + 10*m = 7*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11557 by 39.\nAnswer: -889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43226 less than -2?\nAnswer: -43228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 8. Let q be h(-7). Let o = q + -20. Let l = -50 + 53. What is the highest common factor of l and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/36 and 59\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let k(d) = 77*d + 2. What is k(r(j))?\nAnswer: -77*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 + -100. Suppose 3*f + 4*q = o, -5*q - 6 = f - 37. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 188. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1684 greater than -1668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305084127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22242048?\nAnswer: 2, 3, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezqhseehqhq. Give prob of picking 1 z and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -999, -1494, -1985, -2472, -2955?\nAnswer: -3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-12))\/(2 - 23\/10). What is the greatest common divisor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -0.1, 1 in decreasing order.\nAnswer: 3, 2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:23 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 170 = 301*q - 5965 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*m = m - 11, -5*m + 21 = 4*w. Solve -10 - 10 = -w*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07293 + 0.0729290599. What is t rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - h)*(h + 0*h - 2*h) - 519*h**2 + 25*h - 25*h.\nAnswer: -518*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 357, 531, 705?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3\/3 - 4*q + 9. Factor y(t).\nAnswer: (t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 2*n + 1. Let v = 804 - 801. Calculate p(v).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:38 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111112120121 (base 3) to base 11.\nAnswer: -1061083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(2\/41) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26067 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: What is the fourth biggest value in 2\/3, -178\/9, -0.3, 0.5?\nAnswer: -178\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:05 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 90, 3, -11 in descending order.\nAnswer: 90, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -9*(-2)\/6. Sort f, -5, 2.\nAnswer: f, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*n - 4*p, -2*p - 2*p + 1 = n. Let v be (n\/(-4))\/((-3)\/8). Let z(h) = -10*h**3 + 7*h - 7. Let b(j) = -3*j**3 + 2*j - 2. Calculate v*b(t) - 4*z(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11302 (base 4) to base 13\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -1.88771.\nAnswer: -18.88771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -y - 34, -p + 5*y = -201 + 161. Let l be 2 + -3*(-17)\/(-2). Put 0.3, l, p, 3 in increasing order.\nAnswer: l, p, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 + 99*m**2\/2 + 309*m - 360.\nAnswer: 3*(m - 1)*(m + 10)*(m + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:41 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 16.056, -5.6, 6\/127?\nAnswer: 6\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/5 - 22104*h**2 + 203577840*h = 0. Calculate h.\nAnswer: 0, 18420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.3621 - -0.0221. Let v = 0.34 + t. Let z = v - -25.79. What is z rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1292677ns to hours.\nAnswer: 0.00000000000059146325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1593\/(-39) - (56 - 42). Let l(z) = 3*z**2 - 3*z - 5. Let q be l(5). Let y = q + d. What is the closest to -1\/3 in 4, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 - -4355?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-12))\/(((-312)\/30)\/(-4)*(-545)\/436)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6800 = -27252*g + 27082*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -114, -2, -5, 0.3 in increasing order.\nAnswer: -114, -5, -2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d - 40. Let x be (-60)\/8 - d\/5. Let p = 4 + x. Which is the nearest to p? (a) 5 (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -166, -249, -314, -355, -366, -341?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8268.299 kilometers to millimeters.\nAnswer: 8268299000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (8 - 5 - 8). Let x(r) = -3*r**2 - 8*r + l*r**2 - r**3 - 3*r**2 + 6 + 6*r**2. Determine x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/3 + 142*q**2 + 8514*q + 98010 = 0.\nAnswer: -99, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3667344759 to the power of 1\/2, to the nearest integer?\nAnswer: 60559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 433*a**2 + 35*a + 81. What is c(-2)?\nAnswer: 1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1\/(0 + -1). Let b(j) = -7*j**2 - 44*j + 38. Let u be b(-7). Sort 5, -6, u, a.\nAnswer: -6, a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose 5*l - l = u. Let t(b) = 1 - b - 2 - b**2 + 4. Calculate t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399479554 at least -399479554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1006 - 940. Let q be 2 + 328 - x\/(-22). Is 331 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-4)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:47 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1001111 (base 3) to base 13\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/144 and -57\/28.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 5*s + 8. Let b be y(2). Suppose 0 = -w - b*i - i - 11, w - i = 9. Solve -2*a - w = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-7 + -3 + 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1665846 and -23\/1269216.\nAnswer: 26653536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 23*z**6\/30 + 11*z**3\/2 - 3*z + 2. Find the second derivative of q(m) wrt m.\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1728, 1722, 1706, 1674, 1620?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1122*l - 70684. Calculate v(-63).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570\/8 + (-824680)\/62240?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 56*z - 152*z + 67*z. Let h(o) = -2*o**2. Determine h(q(s)).\nAnswer: -1682*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r - 4*r - 6*r)*(-114*r - 111*r + 171*r).\nAnswer: 756*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 167, 239, 311?\n\"Answer: 72*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 13. Let x(w) = 4*w + w + w + b*w**2 + 2*w + w**3 + 7. What is the tens digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36866 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -299 in descending order.\nAnswer: 3, 1, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 601187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200892338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 23*t + 0 + 8.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:34 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**31\/r*r)**26)**23 assuming r is positive.\nAnswer: r**18538","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000262567599 rounded to 7 dps?\nAnswer: -0.0002626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*t = 14133 + 41541 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -120 - -114 - (-1 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05761840319 rounded to six decimal places?\nAnswer: 0.057618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**2 - 2 + 12*n**2 + 13*n**4 - 7*n**3 + 7*n - 8*n**4.\nAnswer: (n - 1)**2*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2766 and 8759.\nAnswer: 52554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*z = 8756 - 11492 - 60774 for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/(-72) - (-4)\/18. Let w = -6.64 - -1.64. Which is the fourth smallest value? (a) h (b) w (c) 1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901*m - 2033*m + 3696 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7+445332\nAnswer: 445325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-1)\/1 - -2). Let p(r) = 6*r**2 + 3*r - 3. Let g be p(t). Let j = 13 - 4. What is the highest common divisor of g and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -22*l. Solve -3 = u - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0262 minus -20?\nAnswer: 10.9738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 160\/(-120)*9\/12 - -12. Solve -r + 14 = -3*m, -3*m = 19*r - 15*r - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuwjjnj. Give prob of picking 1 w, 1 u, and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -4, 2, 37461 in decreasing order.\nAnswer: 37461, 41, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.22 - 43.78. Let u = a + 46.9. What is the nearest to -2\/3 in u, -5\/3, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n**3 - 14*n**3 + 6*n**2 + 10 + 43*n**3 to z*n**2 + r*n**3 + k + p*n and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*t + t + 453, -3*k = 4*t - 266. Suppose 0 = -4*j + k - 6. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by ((-14)\/28)\/(1\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -3.323. Let v = 0.02434 - g. Round v to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*d - 25594, -5*d - 51*m = -46*m - 42650. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -46, -5, 21102 in increasing order.\nAnswer: -46, -5, 4, 21102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227700191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 24610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*t + 1 + (-1 + 3 + 0)*(t - 1 + 1))*(-t + t - 2*t)*(-2*t + 3 - 3).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-394706)\/(-571064) + 24\/56 + (88\/238)\/(-1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 231*q + 29. Let x(f) = 695*f + 77. Calculate -24*d(c) + 9*x(c).\nAnswer: 711*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54018734.\nAnswer: 2, 7, 11, 350771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -28 + (-5 - -1) + (21 - 9) - 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/3, -35, -5, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.286267 - -11.577833. Let g = y + -11.8. Round g to three decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4635*m - 4601*m = 3366. Calculate the least common multiple of m and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 3 + 0*a**4 + 0*a**3 - 3\/2*a**2 + 0*a + 0*a**5 - 1\/3*a**6. What is the second derivative of k(b) wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + (-2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 42*q + 446. Calculate o(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 3}. Give prob of sequence oy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 95*f**2. Let i(d) = -d**2 + 3*d + 10127. Give i(b(t)).\nAnswer: -9025*t**4 + 285*t**2 + 10127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21\/(-14)*(-120)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/14*77\/(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194165, 193132, 191411, 189002, 185905, 182120, 177647?\n\"Answer: -344*t**2 - t + 194510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**2 - 5*q**2 + 15*q**2 - 4 + (-4*q + 4*q - q)*(3*q + 0*q + 5*q).\nAnswer: -10*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*l + 4*v, 3 = -2*l + v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8894 = 2*w, -3*t + 4*w - 22253 = -8*t. Suppose 0 = x - 2*x - 5, 2*p + x - t = 0. Find the first derivative of 6 + p*g - 35*g**2 - 2227*g wrt g.\nAnswer: -70*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/7*3\/5. Let c be 0\/2 - 1 - -4. Suppose -c*y = 2*y - 15. Solve -b + 2*g = y*b - 8, 2*g + j = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293 divided by -407.\nAnswer: 293\/407","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2330 and 692709?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:45 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0291 + -0.0291. Which is the smallest value? (a) 1.4 (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m, -5 = -z + 3*m - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/2 - 621*d**2\/2 + 6289*d + 6600 = 0.\nAnswer: -1, 22, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-7)\/119 - 17172\/(-612)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2036115, -8144432, -18324963, -32577708?\n\"Answer: -2036107*s**2 + 4*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385245953 to the power of 1\/2, to the nearest integer?\nAnswer: 19628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.7237 (b) 4 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(3536*k + 621 + 531 - 1156 + k**2) to the form r + h*k**2 + j*k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*u - 39 = 2*u, k = -2*u. Let v be 0 + k\/(-9) + 1. What is the third smallest value in v, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/15)\/(-4)*-10. Let r(q) = q**3 + 8*q**2 - 2. Let n be r(x). Sort 1, 1\/3, n in ascending order.\nAnswer: n, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 11) to base 8\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + w**3 - 2*w**3 + w**2)*(1 - 1 + 5).\nAnswer: -20*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/5)*z**(-2\/3) assuming z is positive.\nAnswer: z**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 10*j - 0*j. Suppose 0 = -j*z - 3*z + 990. What is the highest common divisor of z and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 118. Let q be g(0). List the prime factors of q\/(-6) - 14\/21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -1078, -2453, -4362, -6805?\nAnswer: -9782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21891\/79 - 5025173\/17775. Let n = h + -57\/25. What is the common denominator of 49\/9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1217, 2448, 3677, 4904?\nAnswer: 6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**4 + 3*z**3 - 3*z**2 + 2. Let x(f) = -10*f**4 - 4*f**3 + 4*f**2 - 1. Let i(b) = -4*m(b) - 3*x(b). Find the first derivative of i(y) wrt y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 7. Let l be q(-7). Suppose l*w = -4*m - 2*w + 30, -w = -3*m + 35. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011111001 (base 2) in base 6?\nAnswer: 54201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ededreggeee. Give prob of sequence re.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(1\/(-2)). Let c(s) = 2*s**3 + 3*s + 2. What is c(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esqe when four letters picked without replacement from {h: 3, q: 3, e: 2, p: 2, s: 1, m: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/((-9)\/(-2)))\/((-1)\/(-144)). Let q = -90 - l. Calculate the smallest common multiple of 40 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 3. Let r be 5\/i*24\/15. Let x(m) = m**3 - m**2 - m + 1. Let f be x(1). Solve 2*b + r + 4 = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*p**6 + 1608017*p**5 + 1171*p**2 - 1608017*p**5 - 2*p**3 wrt p?\nAnswer: -1200*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-14) - 15\/(-2). Suppose -x + 2 = -3*p. Is 2 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5)\/v)\/v*v*v*v*v*v**(-1\/7)*v)\/(v*v**(-2)*v*v)**(-34\/9))\/(((v*v**(-2\/11))\/(v\/(v**(2\/11)*v)))\/(v\/(v*v**(2\/7)))**(3\/8)) assuming v is positive.\nAnswer: v**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21313 + 3339 - 5116 = 363*f + 11032 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*k + 5*c - 10 = 0, -c = 51*k - 4*c + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211123 + -211100. Let z = 20 - 8. Calculate the remainder when (0 + 33)\/(z\/16) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t + t)*(-2 - 3 - 3) + 35 - 5*t + 22*t - 39 as q*t + b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33 + 150\/(-10) + 1\/(-1). Which is bigger: l or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/80 - 5*f**4\/48 - f**3\/24 + 5*f**2\/8 - 14*f. Factor y(q).\nAnswer: (q - 5)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 6, -70, 8, 4, -3 in descending order.\nAnswer: 27, 8, 6, 4, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*z - 29*z - 99. What is the greatest common divisor of 264 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 619506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose -40 = -2*u + k*r, -5*r - 12 + 28 = 3*u. What is the units digit of 26\/u - 4\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - 0.02. Let m = 0.3 - y. Put -0.5, -0.2, m in decreasing order.\nAnswer: m, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 2, -43, -106, -187, -286?\n\"Answer: -9*y**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11606 (base 8) to base 4.\nAnswer: 1032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 1 + d + 3*d**3 - 4*d**3 + d. Let m(v) = -4*v**3 + 2*v - 4. What is -3*c(b) + m(b)?\nAnswer: -b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 2*u = 353 - 684 + 847 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -22, 3\/80, -485, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832984 to the power of 1\/2, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -862.9 - -638.9. Which is the nearest to -2? (a) -0.3 (b) -1\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24979 + 27000. What is the remainder when v is divided by 671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79430, 79425, 79418, 79409, 79398, 79385?\n\"Answer: -f**2 - 2*f + 79433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87\/5 of a millimeter?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 112. Let r = 605 - 602. What is the highest common factor of p and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768288 is divided by 1145.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06699761 and 0.6.\nAnswer: -0.040198566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231145013.\nAnswer: 11, 19, 47, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157.5288 and 79?\nAnswer: 12444.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b + 9. Suppose 5*x - 4 + 6 = d, -b*x = d - 2. What is the second derivative of 2*v**2 - 5*v - 5*v**2 - 6*v**4 + 3*v**d wrt v?\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522 less than or equal to 2540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 + 6*s - 72. Give m(-6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17152059*r - 19344632.\nAnswer: 17152059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2963137, 2963139, 2963141, 2963143?\n\"Answer: 2*r + 2963135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66032 and 1827?\nAnswer: 64205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6120, -6287, -6454?\n\"Answer: -167*r - 5953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.8862444 to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h + 1164. Calculate z(31).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**3 + 9928*d**2 + 5652*d - 4248.\nAnswer: 4*(d + 1)*(d + 354)*(7*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 10, l: 2, c: 1, b: 6}. What is prob of sequence lplc?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1291 (base 12) to base 16.\nAnswer: -84d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 13, 4, -19, -62, -131?\n\"Answer: -l**3 + 2*l**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7. Let k(r) = r**3 - 3*r**2 + 3*r. Let c(d) = 2*d**3 - 7*d**2 + 7*d. Let z(p) = 3*p + 21. Let j be z(-8). What is j*c(b) + w*k(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)\/j*j**0*j**(-5)\/((j**(-3)\/j)\/j) assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let o(s) = -7*s**2 - 19*s - 2. Let k(n) = -o(n) + 3*z(n). List the prime factors of k(-7).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by -2066\nAnswer: 477\/2066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409762082.\nAnswer: 2, 3, 251, 936097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5660694 divided by -6\nAnswer: 943449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -85*p**6\/24 - p**5\/60 - 9*p**4 + 2*p**2 + 127*p. Find the third derivative of j(s) wrt s.\nAnswer: -2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48693.239 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1554 - -559. Let d = h - -1664. Suppose -3*y + d = -3*f, -1113 = 3*y - 8*y + 4*f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -20*j + 14, 26*j + 10*j - 35*j + 3*l = -56 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1949, 1502, 1055, 608, 161, -286?\n\"Answer: -447*p + 2396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3518 + -24624\/7. What is the nearest to q in 316, 4, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/17 (c) -203\/3 (d) -0.09 (e) -4 (f) 2127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (1 + -2)\/1*1. Suppose -9*h + y*h = 6, h = 5*a + 3. Put 18, -4, a in decreasing order.\nAnswer: 18, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q + 4. Let d(w) = 4. Let c(y) = d(y) - j(y). Let s(m) = 94*m - 3. What is s(c(h))?\nAnswer: -846*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1, -0.3, 8, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.69 + -0.21. Let v = i + 0.7. Let l be (-5*22\/165)\/((-4)\/(-30)). Which is the third smallest value? (a) 1 (b) l (c) v (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6955\/2422 - -84\/173. Find the common denominator of -107\/28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/2)\/(11\/66).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = h - 4. Let w = 736.3 + -881. Let d = w - -145. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32497953*d**5 + 6*d**2 - d - 26753?\nAnswer: 1949877180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:23 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 469*(-44)\/(-1078) + 5\/2*36\/105\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(6 - 1 - 3)*(1 - 1 + 2*m)*(1 - 4 + 4) + 0*m + 8*m - 4*m + m + 0 + 0 + (2*m - 5*m + m)*(2 - 1 + 1) - 1 + 1 + 2*m - 8*m + 6*m - 13*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0929 and 9727.\nAnswer: -903.6383","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 2*z**2 - 5*z**2)*((-17 - 14 - 27)*(3 - z - 3 + (0*z - 3*z + 5*z)*(1 - 5 + 2)) + (-2 - 3 + 4)*(-4*z + 3*z + 0*z) - 6*z + 3*z + 4*z).\nAnswer: -1752*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veovvvlivo. Give prob of sequence ove.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1559, 1017, -451, -3307, -8013?\nAnswer: -15031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110011100100100 + -110?\nAnswer: 10000110011100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140452.3966 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -50. Is (-365)\/r - 4\/28 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 35*h**2 + 356*h + 28. What is d(-8)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 101*(-276)\/(-13938) - ((-15)\/(-2))\/(-3). Determine d, given that -15\/4*d - 63\/8*d**2 + 0 - 3\/8*d**4 - o*d**3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -5*c**6\/72 - 5*c**5\/36 + c**4\/72 + c**3\/18 - 282*c**2. Factor y(g).\nAnswer: -(g + 1)*(5*g - 1)*(5*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-3) + 2\/24*8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*b - 5*n + 3, -1 = 2*b - n. Suppose b = 7*v - 9*v + 10. Let x(q) = q - 3. Calculate x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2248686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/(-36)*3\/2. Suppose 0 = -3*b - 4*v + n*v + 89, 54 = 2*b + 2*v. Let i = 83 - b. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -34.3. Put l, -1\/3, 12 in descending order.\nAnswer: 12, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3175 + -32?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-180))\/(4\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**3 - s**2)*(-2*s + 2*s - 2*s) + 2 - 2*s**4 - 2 - 24*s**4 + 4*s + 29*s**4 + 96 - 93.\nAnswer: s**4 + 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45935971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 123*v - 487. Calculate s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 8*b - 154. What is the lowest common multiple of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -203*j**3 + 8*j**2 - 3*j - 4. Let t(n) = -204*n**3 + 7*n**2 - 2*n - 4. Let m(c) = 5*h(c) - 6*t(c). Is m(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1336*f**4 - 2394*f**2 - 12878095?\nAnswer: 5344*f**3 - 4788*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**0))**(18\/11) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1864 = 3*d, 5*f + 12*d = 16*d + 2330. List the prime factors of f.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 8. Let v = -15 + 7. Let h be 2\/8 - (-26)\/(-8). Let y(p) = -14*p**2 + 72*p**2 - 1 - 2 - 75*p**2 + 16*p**2. Give h*z(o) + v*y(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -7\/4, -1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078) - -1*sqrt(3078))\/(sqrt(72)*1) - (sqrt(228)\/(sqrt(24)\/sqrt(2)) - (sqrt(19) + (sqrt(304)*-5)**2 - sqrt(19))).\nAnswer: 2*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 1, u: 2, x: 3, j: 1}. Give prob of sequence xmax.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870388, 1740776, 2611164, 3481552, 4351940, 5222328?\nAnswer: 6092716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 372 + 5388?\nAnswer: 5771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 19.94. Let c = r + 0.06. Put -2\/5, -1, c in descending order.\nAnswer: -2\/5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 + 10*h + 1. Let f be ((-8)\/(-5))\/(2\/(-10)). Let t be (f\/6)\/((-4)\/24). What are the prime factors of b(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/10 - 2*k**5\/5 + k**4\/3 + 6*k + 4. Find the third derivative of x(w) wrt w.\nAnswer: -72*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/15 - (-16)\/(-3). Let h(f) = -16*f + 4. Let n be h(t). Is 7 a factor of n\/6*6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 27459843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 37. Let x be m(-16). Suppose -x*b = s - 1381, 21*s = -2*b + 16*s + 557. Which is smaller: b or 277?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -0.5, -24, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(3) + 3 + sqrt(3)*2 + sqrt(243))**2 + -3*2*sqrt(75)*-3).\nAnswer: -882 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-414))\/(-1 + 4\/24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeleeleeilll. Give prob of sequence il.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-50)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.69*-294\nAnswer: -202.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24438 + 731*a**4 + 1042*a**2 + 12217 - 2897*a**4 + 12221 wrt a?\nAnswer: -51984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/m**0*m)*m**23*m*m*((m\/(m\/(m*m\/m**(-9))))\/m)\/(m*m**(-4\/7)) assuming m is positive.\nAnswer: m**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747408, 747463, 747518, 747573, 747628?\nAnswer: 747683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 8*m + 471. Let h be 155\/(48\/60 - 18\/10). Which is greater: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -7, -37, -99, -205, -367, -597, -907?\n\"Answer: -2*u**3 + 2*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 300 + 5*c + 172 - 277.\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) - 61\/(-2). Suppose -20 + w = -t. Let r = 33 + t. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = -25. Suppose -3*q = 3*r - 9, 0 = -0*q - w*q - 5. Suppose 3*g = 12 - 3. Solve -i - r = g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24011443 (base 7) to base 8.\nAnswer: -10055715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 234864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 5*p + p)*(-3 + 2 + 3)*(4 - 1 + 4)*(3*p**2 + 4*p**2 - 5*p**2).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j + 555*j + 1017*j.\nAnswer: 1507*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 14 + 4 + -19 - 3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 108, -5, 58778?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:59 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 748?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 21 - 66 - 4*t + 185 - 26.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 3*h**2 + 5*h**2 - 7*h**2 as u*h + m + r*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51210 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*z - 14. Let j be (z\/3 - 2) + 175\/21. Suppose j*b - 875 - 736 = 0. List the prime factors of b.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1306249 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -z - 3*z - 48, 0 = -4*n + 2*z + 122. Let x be 2\/(((-2)\/(-186))\/(10\/(-60))). Let f be 5\/2 + x\/62. Solve f*p + 4*c = -n, 4*p + 31 = -c - 2*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2033980.\nAnswer: -1\/2033980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 59*z**2 + 74*z**2 + 152*z**2 - 85*z**2.\nAnswer: z**3 + 200*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 11\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2386, -2407, -2470, -2599, -2818, -3151?\nAnswer: -3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -10*b + 12*b + 10438, 5*x = 3*b + 13048. Suppose -20*o - x = -13069. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 6. Let o be k(7). Calculate the remainder when 1*(11\/o + -4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 63 - 145*z + 135*z - 1. Let j be v(15). Let x(o) = 2*o - 4. Let y = -2 + 6. Let p(m) = -6*m + 11. Calculate j*x(h) + y*p(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udddedwrueddduddud. Give prob of sequence dd.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 212*d**2 + 2*d + 1. Let h(x) = -x - 4. Let c be h(-3). Is b(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253333 (base 7) to base 16.\nAnswer: -b6e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a26 - -b7c?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + -3.96. Let w be (-1)\/3 - (-20)\/(-36)*3. Which is the nearest to 0.1? (a) w (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*r - 176 - 104, -5*k = -2*r - 686. Let v(z) = -9*z + 2. Let h be v(-10). What is the highest common divisor of k and h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icii when four letters picked without replacement from {t: 1, c: 11, i: 3, k: 5}.\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304.8092 - -0.1908. Let y = 282543.231 + -282238. Let i = z - y. What is i rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 2251*t**6\/30 + 9857*t**3\/6 - 3288*t**2. Find the first derivative of y(p) wrt p.\nAnswer: 27012*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 1724*c + 1 - 2424*c + 5*c**3)*((3*c - 4*c + 2*c)*(-2*c + 3*c - 2*c) + 0*c**2 + 0*c**2 - 2*c**2).\nAnswer: -6*c**5 + 2100*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-1\/2)*p*p)*p**(-2\/7)*p**(-4)*p*p*(p\/p**(-2\/11))\/p*p assuming p is positive.\nAnswer: p**(-93\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 115126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -490482.4 and -2.\nAnswer: -490484.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 - 7*d + 352. Let g(t) = 11*t**3 - 22*t + 1053. Let z(n) = -3*g(n) + 8*m(n). Differentiate z(j) wrt j.\nAnswer: -3*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*q**4*u - 2*c*q**3*u + 6*c*q**2*u + 3*c*q*u - c*u + q**5*u - 3*q wrt q.\nAnswer: 24*c*q*u - 12*c*u + 60*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -32. Let d be q\/((-3 - 0) + 1). Let s(t) = t**3 + 4*t**2 + 3*t. Let k be s(-3). Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4389747 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 13300883.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 4 + 15 - -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7050 + -7050.3. What is the closest to f in -2, -3\/2, -17\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 30144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, g: 6}. What is prob of sequence gk?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/3)\/((-12)\/(-90)). Suppose 5*n = -3*f + 6, -2*f + s + 19 = -5*n. Let b(j) = -3 - j**2 - 3*j + f + 0*j. Calculate b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 12, -4*o - 5*u - 10 + 3 = 0. Let r(w) = 2*w**o - 5 + 5. Let l(t) = -5*t - 2*t + 3*t + 5*t. Calculate r(l(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1246 or 4291?\nAnswer: 4291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 95. Suppose -d + 20 = -5*d. Let h be 4 + d\/((-10)\/(-4)). Solve h*l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9094 + -9096.1. What is the second smallest value in 4, 2\/1149, r, 5?\nAnswer: 2\/1149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 24. Suppose 2*q = l + 7. Factor q*p**2 - 9*p + 0 + 0 - 5*p**3 + 19*p.\nAnswer: -5*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/2 + 76 + (-12870)\/180.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 22. Let p(x) = x**2 + 12*x + 15. Let l be p(-12). List the prime factors of u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*y + 6 = 0, -4*f - 4*y = -5*f + 15. Let u = 257 + -267. Sort 5, f, u.\nAnswer: u, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 1 + 18*l - 18*l + 23*l**2 in the form i + y*l**2 + q*l**3 + n*l and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 17604 = -31*u. List the prime factors of u.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 46, 1\/2, -2.2, 2 in descending order.\nAnswer: 46, 5, 2, 1\/2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 57.9.\nAnswer: 57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 39*y + 94. Let b be d(-3). Suppose -w - 3 + 0 = 0. Sort b, 11, w in increasing order.\nAnswer: w, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 + 210. Let l = -47 + z. What is the least common multiple of 12 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.99 - 1.91. Let b = v - -0.32. What is the fourth smallest value in -1, -5, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-1)\/4)\/((-5)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360136\/123 + 2928. Let s = 529\/2460 - p. Let f = -1\/4 - s. Which is greater: 1.6 or f?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.031133 times 0.03?\nAnswer: -0.00093399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 + -8 + (9 - -387). Are u and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 425 - 95. Suppose -31*b + y = -b. Calculate the highest common factor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a factor of 34962701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 529566262 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-88581948)\/(-399) + 12\/114. What is v rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:18 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.290116 millennia in decades?\nAnswer: 229.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 + 6. Let w = -0.6 - z. Let p = 3 - 3.1. What is the closest to 0.1 in 4\/9, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226625539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28898, 57971, 87118, 116375, 145778, 175363, 205166?\nAnswer: 235223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:36 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(0 + 1) - 0. Let f(a) = 121*a**2 - 1. Let l be f(1). What is the greatest common divisor of b and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*j + 1113*j = 2*m + 4, 2*m + 88 = 18*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcaeytuteyyuatea. What is prob of sequence uaca?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -680167\/23 > -29573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(4\/(-6)). Let u be (2\/2)\/(f\/2). Suppose 0 = 2*g - 5*r - 31, 6*g + 5*r = g - 10. Sort u, g, 5.\nAnswer: u, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120112021 - 2?\nAnswer: 120112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 32 + 38. Suppose 16 = r + n. Solve 3*x = -3*z, 2*x + 21 = 3*z - r*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 2*l**2 + 3*l**2 - 24*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/215 at least as big as -2\/4241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-6) - ((-76)\/(-12) + -6). Solve -s*z - 13*f + 16 = -12*f, -3 = -2*z + 3*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2224 + 2224. Let q = -98 - -97.53. Let k = q + 0.07. What is the nearest to 2\/15 in k, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 3*y = 41*b + 9, -y + 18 + 49 = -9*b - 26 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-11 - -2)\/(-3). Sort -30, -3, m in descending order.\nAnswer: m, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -125, -191, -257, -323, -389, -455?\n\"Answer: -66*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**33*f)*(f*f**(-3\/4))\/f*(f**(-26))**(37\/3) assuming f is positive.\nAnswer: f**(-4265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 8:43 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-3)*60\/(-980)*28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 7*n - 9. Let i be x(8). What is the smallest common multiple of 15 and 25\/(i\/(4\/8*-2))?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 21 - (2 + 4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 + 3 + -5. Let n be (4\/5)\/(1\/(-5)). Let b be h\/8 - 17\/n. Solve b*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(3 + (-21)\/6). Let r = s + -3. Differentiate 20*q - r*q + 3 - 11 wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isisssss. What is prob of sequence sis?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**5\/480 + u**4\/64 + u**3\/12 - 18*u**2 - 64. Let o(x) be the second derivative of l(x). Factor o(s).\nAnswer: -(s - 4)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 543.8 * 2040.\nAnswer: 1109352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + -322. Suppose -32*h = -33599 - 5590 - 2123. Let p = h + o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229428 divided by 6373?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287854781?\nAnswer: 1973, 145897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 271.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:21 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 2. Let p be c(2). Suppose p*r + 2*f = -3*f - 7, -f + 3 = 3*r. Let t = -0.86 - -0.36. What is the closest to 2\/7 in t, -5, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 10. Let w be 95\/(-2)*16\/(-10). Suppose 0 = 2*s - 4*p - w, -c = -0*p + p. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 152*m**2 + 731*m - 565. Give p(-147).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-98778)\/(-135) + (-5)\/90*-2. Let c = t - 743. What is the common denominator of c and -113\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3072001\/108 - 56891\/2. What is the common denominator of 77\/54 and k?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953720723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/17)*a**(-7)*a**6\/a*a*a\/(a*a**(-2\/3)))**8 assuming a is positive.\nAnswer: a**(320\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 0.1469.\nAnswer: -4.5539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 3)*(0*t + t - 2*t) - 10425 + 398*t + 10425 as r*t + p and give r.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 41?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - 2*m - 5*m + (-6*m + 3*m + m)*(-2 + 4 + 0) - 15*m - 7*m + 4*m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231a4 (base 11) to base 15.\nAnswer: 9de0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 213651 + 12157. Let y = d + -19111. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 34 = -1. Let x = n + 40. Solve x*c + 4*z = -15, 2*c - 4*z + 2 + 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18 - 1038*k - 279*k**2 - 618 - 259*k**4 + 154*k**3 - 258*k**4 + 514*k**4 + 2*k**3.\nAnswer: -3*(k - 50)*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/32 and -71\/848.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 0. Let z be l\/(-6)*(-2)\/6. Factor 1\/2*u**4 - 1\/6*u**5 + 1\/6*u**2 + 0*u - z*u**3 + 0.\nAnswer: -u**2*(u - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305202 + 73?\nAnswer: 305275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*k + 119*k + v + 19, -15 = -2*k - 3*v for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9011 - 26255 = -2064*n + 77700 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1199856 and 672.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54156385 is divided by 6825.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 83 - 83.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52056*w + 34003?\nAnswer: -52056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 4*s - 2*s + (2 - 5 - 10)*(-s + 3*s + 0*s).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (33 + -95 - -87).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(117))\/sqrt(9).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + m)*(206 + 105 + 21*m - 241) as l*m**2 + o*m + s and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f - 1. Let s be (-14)\/(-2)*(-68)\/(-119) - -3. Let a(m) = 15*m - 2. Give s*t(d) - 4*a(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 559144.\nAnswer: 279572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 + 5*k - 10. Let i be c(-7). Solve -2*f - i = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 7) to base 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27\/29 + -101\/203. What is the common denominator of p and (44\/96*-1)\/((-2)\/(-4))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = n + 4*c, -5*c + 1656 = 3*n + 393. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + 4.8. Is g > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**3\/45 - 4*g**2\/15 - 8*g\/15 + 2. Factor c(q).\nAnswer: -2*(q + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = 4*t + 13, 0 = -4*u - 4*t. Is 1\/69 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 986454?\nAnswer: 3945816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1795 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/33, 1, -0.0733, 5 in decreasing order.\nAnswer: 5, 1, -1\/33, -0.0733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 11*s**2 + 11*s + 23. Let j be f(7). Let h = -906 - j. List the prime factors of h.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143690 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 322\/3*s + 0 - 2\/3*s**3 - 320\/3*s**2.\nAnswer: -2*s*(s - 1)*(s + 161)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36 - 45) + 6\/(-2). Sort x, 21, -4, -3.\nAnswer: x, -4, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 113*a**3 + 111*a**3 + 54*a.\nAnswer: -2*a**3 + 58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5920 and 1763124?\nAnswer: 70524960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:15 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 352*h - 351*h + 1, 0*h - 5*h = -i + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + d - 2*d + (-2*d - 4 + 4)*(2 - 6 + 2)*(-3 - 1 + 2) as h*d + t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1632424 or 1632425?\nAnswer: 1632424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838539047?\nAnswer: 838539047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*c + 296*c = -5*q + 7, -5*c = -q - 9. Let b be (-21)\/35*(-2 + 1). What is the fourth biggest value in b, 5, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20840000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**4 + 12*a**2. Let z(y) = 11*y**4 - 25*y**2. Let m(t) = 5*r(t) + 2*z(t). What is the third derivative of m(j) wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 14250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/69690 and -55\/21436644.\nAnswer: 107183220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/16*4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58334 - 17850157\/306. Calculate the common denominator of u and -89\/2652.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 866587 and 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5) + -1 + sqrt(5))*-6.\nAnswer: -12*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -851*0.4\nAnswer: -340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1577079322 divided by 112648523\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 95928\/(-50) - (26\/4 - 7). Let o = -1918 - t. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3145 = -a - 4*i, -5*i - 3980 - 5404 = -3*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4740 times 0.3\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -837\/61, 2\/35 in descending order.\nAnswer: 1\/5, 2\/35, -837\/61","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - g = -2, 114063*w = 114061*w + g + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12535502 to the power of 1\/2, to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9 - 23 + 4*b**2 + 0.\nAnswer: 4*b**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 1 - 2)*5. Suppose t*q + 7 = 27. Suppose 5*v = -s + 5, -4*s - 4 = q*v - 56. Calculate the remainder when 28 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/65, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -237652b + -3?\nAnswer: -2376532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 85. Give m(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -7*b**2\/2 + 62. Let f(n) = -3*n**2 + 2*n**2 - 4 + 4. What is f(v(g))?\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31253 (base 6) to base 3.\nAnswer: 12202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 764079 and 5734?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 44. Let x(m) = 3*m - 22. Give 2*l(q) + 5*x(q).\nAnswer: q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/12 + 3*d**2\/8 - d + 2. Factor o(j).\nAnswer: (j - 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/703 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 7:11 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9298709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 22112?\nAnswer: -22223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038770436 take away -0.80707?\nAnswer: 0.845840436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/20)\/((-7)\/280). Let b = v - 49. Is 16\/11 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 12*z + 14. Let u be d(11). Let s(n) = -n**2 + 2*n + 1. Let f be s(u). What is the closest to 1\/4 in 4, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2567 + 3773 + 4534 = 140*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -34. What is the units digit of (78\/9)\/(h\/66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((2 - 3)\/3). Suppose -5*j - 2*h - 25 = f*h, -4*j - 2*h - 28 = 0. Is j less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 1, f: 2, u: 1, z: 8, q: 1}. What is prob of sequence ozu?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 9. Let n = 13 + -6. Suppose -3*u + 2*b + n = -24, 2*b + 20 = 2*u. What is the tens digit of r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*j**6 + 6*j**6 + j**6 - 8*j**6 + 6*j**2 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 171*q + 7203. Determine b(100).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.456 - 2.356. Let d = -2.2 + 2. Let l = -31\/140 + -7\/20. Sort l, c, d in decreasing order.\nAnswer: c, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 1 = 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**5 - m**5 + 0*m**5)*(13 - 4 - 2 + (1 + 5 - 3)*(-1 + 2 - 3)).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6893 is divided by 197.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 180 = 5*l. Suppose -121 = -l*r + 194. What is the least common multiple of r and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvf when four letters picked without replacement from {f: 11, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2127*r**2 + 209 - 206*r**4 - 4256*r**2 - 53*r**4 + 2129*r**2 wrt r.\nAnswer: -1036*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155*10\/(-1395))\/(2\/(-135))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1236, 5160, 11772, 21072, 33060?\nAnswer: 47736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dag when three letters picked without replacement from {o: 2, n: 2, g: 1, d: 1, a: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2062 or 6185\/3?\nAnswer: 2062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239276234.\nAnswer: 2, 19, 389, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*c + 236 = -173, 4*u - 4*c - 364 = 0. Suppose -3*s + u = s. Solve -5*z = s - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2)\/n))\/(n*n**(-3))*n*n\/n**6*n*n**5 assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00134907664 to 7 decimal places.\nAnswer: -0.0013491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 52 = -5*a + f - 0*f, -4*f + 58 = 50 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - l)*(24*l + 9 - 9).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-6))\/(-9))\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*q + 0*q = 0, -q = -4*u + 12. Let t be 0\/(-1*2\/u). Suppose -4*l - 3*n = -n - 166, t = -5*n - 5. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5489 and 10895665.\nAnswer: 10895665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6978527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/42*(-21)\/70?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 38844925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1476 (c) 114 (d) -5 (e) -0.03 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290229479 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 3417100*s**2 + 13668340*s - 13668320.\nAnswer: 5*(s - 683416)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 7*f + 540. Let v be (-24)\/f - (-770)\/18. Let l = -25 + v. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2449 - 1903. List the prime factors of f.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1608644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 10068440*x**3 = 0.\nAnswer: -5034220, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let m(d) = -d**2. Let g(c) be the second derivative of 1\/3*c**4 + 0*c**3 - 24*c + c**2 + 0. Let i(p) = -g(p) - 6*m(p). Determine i(v(j)).\nAnswer: 8*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147788 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 320. Let k = 102 + n. Is -1*(k - (-2 - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3668824, -7337648, -11006470, -14675290, -18344108?\nAnswer: -22012924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22567659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1156*k**3*x - 6*k**2*x + 433*k**2 + k*x wrt k.\nAnswer: -6936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - 2*i**2 + i**2 + i**2 + i**2 + 0*i**2 + (3*i + 0*i - i)*(-i + 4*i - 2*i) + 13617 - i**2 - 6959 - 6645 in the form z*i**2 + j + w*i and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 5*i**3\/3 - 4078. Let q(t) = 2*t**2 + 19*t. What is q(b(h))?\nAnswer: 50*h**4 + 95*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 10931340.\nAnswer: 1\/10931340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38538 + 72750. List the prime factors of n.\nAnswer: 2, 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 62. Solve -3*h - h - n = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (-508)\/(-16))*(-16)\/6. What is the second derivative of 52*i**5 - 1199 - d*i + 1199 + 50*i**5 + i**2 wrt i?\nAnswer: 2040*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a831c (base 13) to base 15\nAnswer: -255095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -167*n**2. Let t(b) = -8473*b. Give t(d(h)).\nAnswer: 1414991*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7395041*i + 25609406?\nAnswer: 7395041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.30327.\nAnswer: -0.030327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 3297754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -67 * -0.031\nAnswer: 2.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -3*o. Suppose -d - o = -r, 0 = 3*r + 2*d + 2*d + 25. Let t(k) = k**3 + 3*k**2 - 5*k - 1. Let y be t(-4). Sort r, y, -4 in descending order.\nAnswer: y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/((-2)\/414). Let s = n - 1861\/9. Let u = -1315.7 + 1316. What is the third smallest value in s, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*w - 1641 + 4381 = -2364 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 41. Let m = -2 - w. Let j = m + -21. Solve j = -s - 0*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/91)\/(9\/(-1512)*6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 25*v - 165. Let s(d) = -13*d + 83. Let k(g) = -3*j(g) - 5*s(g). What are the prime factors of k(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -10. Let y be i + -141 + 1 - 0. Let f = y + 233. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -21*r**6\/40 - r**5\/60 + 155*r**3\/3 - 51*r**2 - 2. Find the third derivative of v(l) wrt l.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5256, -5259, -5262, -5265, -5268?\n\"Answer: -3*c - 5253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: d7bb15 (base 14) to base 12\nAnswer: 2538587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 13*y**2 + 16*y + 21. Let s be c(-14). List the prime factors of 2\/6*(6 + 862 + s).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4766*j - 540 = -4769*j. Solve 55*z = -5*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 780 + 820. Let x(i) = i**3 + i**2 - 4*i - 4. Let k = 43 - 40. Let a be x(k). What is the highest common divisor of a and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(576) + sqrt(576) + sqrt(576)*-2)\/sqrt(108).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0*w**2 - w**2 + 6 - w**3 - 3*w to the form l*w**3 + x + y*w**2 + g*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 + 0 - -119. Let w = 6 + 7. What is the highest common factor of w and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 246, 381, 524, 675?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4391154kg to milligrams.\nAnswer: 439115.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279869 is divided by 46608?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-177)*15*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8.8 or 3?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392 or 393?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -82, 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -58. What is the remainder when 75 is divided by ((-38)\/y)\/((-2)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 528\/(-88)*67\/(-6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 63*b - 2838.\nAnswer: 3*(b - 22)*(b + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*a - 564*a = 67*a + 3955 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1168, 4706, 10604, 18862, 29480, 42458, 57796?\nAnswer: 75494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 1, j: 1, u: 1, o: 1, i: 1}. Give prob of sequence hui.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717 - 27 = -47*g + 102. Solve 0*p = -9*p + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(10\/(-6)))\/(3\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 86*o + 6. What is the units digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.91485.\nAnswer: 0.36594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 26*v**4 - 147*v**3 + 244*v**2 - 124*v.\nAnswer: v*(v - 2)**2*(v - 1)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v - 9. Let q be i(-3). Suppose 271 = q*m + 253. Solve -15 = -x + m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155032264.\nAnswer: 2, 619, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose 4*d + 4*m = 2*m + 54, -4*d + m + 57 = 0. Let x be 1*(-3 + 2)*(-12)\/d. Is x smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d - 175*d**2 + 10*d + 105*d**2. Let u(j) = 10*j**2. Calculate u(h(k)).\nAnswer: 49000*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = g + 95, -4*h + 3*g - 31 - 52 = 0. Let m = h - -6. Let f = -7 - m. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65*(76\/105 - (-50)\/(-75)))\/(20\/140)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from hpnpjgvnpvvpp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000960132 to 6 decimal places.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -21?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183069 to the power of 1\/2, to the nearest integer?\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 21 + 25 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8)\/(1\/2) + -3. Sort j, 10, -15 in descending order.\nAnswer: 10, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542942 is divided by 1231.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -243576, -487145, -730702, -974247, -1217780, -1461301?\n\"Answer: 6*h**2 - 243587*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.14396 and 0.179.\nAnswer: -8.96496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2\/3, -61\/4, -1 in ascending order.\nAnswer: -61\/4, -1, -2\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1923969.\nAnswer: -1923969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 + 2*h**3 - 3*h**2 + 2*h - 78951. Let r = 7 + -3. Calculate v(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6.9999999. Round z to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let m be (-28)\/v*(-72)\/14. Suppose 39 = 3*k - m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**2 + 6*f**2 + 50*f**2 - 29*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 889*i**2 + 1754*i + 24624. Determine f(891).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210597?\nAnswer: 3, 70199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 673 - 669. Sort 0.5, 2\/13, p, 0.39 in ascending order.\nAnswer: 2\/13, 0.39, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 4460267608.584.\nAnswer: -4460267612.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -256437\/5 (b) 319 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 4*k - 3*k)*(0 + 1 - 2)*(-20 - 72 - 21) to n*k + i and give n.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22548 and -1\/8.\nAnswer: 45096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*1)\/(1 - 74\/68). Is ((-8)\/2 + 5)*j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 50*f**2 - 102*f - 1615. Let w be r(-16). Is 12816 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + -17.23. Let o = l - -16. What is the nearest to -1 in -3, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 22. Let y be 2\/4 + (-897)\/g. Suppose -z = -v - 22 - 18, -5*z - 5*v + y = 0. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10) - 9\/15. Suppose s = -2*h + c + 7, -4*h = -5*c - 1 - 4. Let z = h + -2. What is the smallest common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/33 in -14696, -3\/5, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 9. Let a be h(-3). Suppose -3*f - 2*v + 15 = -a, 0 = 2*f - 2*v - 12. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -337*s + 1244*s - 3221*s - 2910*s - 6*s + 2*s + 3*s + (1 - 2 - 1)*(0*s - 3*s + s) + 1 + s - 1 + s - 5 + 5.\nAnswer: -5219*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255973 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -57 (c) -19 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-10)\/(-160))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6274\/21 - 297. Let q be (1040\/35)\/4 - (-2 + 5). Let n = v - q. Find the common denominator of -79\/10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1760)\/560 - (-895)\/140.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 5) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1030 and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -92. Solve -2*h + 9 - 1 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 15*l**2 + 16*l + 5. Let y be 4 + (4 - 24\/1). Let t be m(y). Solve 18 = -2*r - 2*r - o, r - t*o + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9517 is divided by 9305.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.046 - -0.246. What is the nearest to 0.1 in f, 4, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-360) - (-3908)\/60 - 12*(-2)\/(-8)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*l**2 + 1 + 760*l**2 - 145*l**2 - 151*l**2 - 158*l**2 - 143*l**2.\nAnswer: 17*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -195*o**4 + 1115*o**3 - 1505*o**2 + 685*o - 100 = 0.\nAnswer: 1\/3, 5\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -616*v**2 - 16*v - 16. Let m(z) = -123*z**2 - 3*z - 3. Let f(b) = -16*m(b) + 3*u(b). Let l(s) = 2*s**2. What is f(l(a))?\nAnswer: 480*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 96*c + 282. Give w(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*h + 2 - 32.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(330)\/(sqrt(10)*-3))\/(sqrt(11)*-1*5)*-3.\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ba7057 + 3?\nAnswer: -ba7054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-515 - -503) + (16 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 335*y + 355. Is w(7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 10. Let q(i) = i + 7. Let k be q(-6). Let c = f - k. Calculate the least common multiple of 4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(-12) - 46833750\/(-840) - 14\/(-49)?\nAnswer: 2, 61, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262440 (base 7) to base 6.\nAnswer: 1014310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2. Let d(n) = -441*n**2. What is d(i(g))?\nAnswer: -1764*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n**(-1))\/n*n*n*n**(-17)\/n*(n\/(n*n**0*n))**(-2\/13) assuming n is positive.\nAnswer: n**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6 - 7*d**2 - 11*d + 5*d**2. Let n be b(-11). Find the third derivative of -6*c**6 + 5*c**n - 2*c**2 - c**2 + 0*c**2 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - c - 1. Let k(g) = -2*g**2 + 3*g - 4. Determine -6*f(b) - 2*k(b).\nAnswer: -2*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197684.\nAnswer: 2, 7, 114203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 13 + -20 - (-5 - -20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092.35 rounded to the nearest 10?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jtjjtajimjmtjjjtjm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 20677952?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5344149 to the nearest integer?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0204 and 5.8264?\nAnswer: 0.11885856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - i + 2)*(25*i**4 - 3*i**4 - 2*i**4).\nAnswer: -20*i**5 + 80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -43. Is 4*(-4)\/c - -552 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 60. Let -2\/11*b**3 + 0 + k*b**2 + 0*b = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -62*x**3 + 2*x**2 - 4*x + 2. Let j be y(2). Let c = j + 692. Suppose n = 2*n - 18. Calculate the highest common divisor of n and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:28 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-1657\nAnswer: -1988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 22632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let a = 6 - 5. Let g(k) = -16*k**2 + 10*k**2 + a - 1. Give g(d(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 + (68 - (111 + 50)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319556, 639094, 958570, 1277954, 1597216, 1916326, 2235254?\nAnswer: 2553970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2285783 (base 9) to base 11\nAnswer: -775a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51344 is divided by 51274.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 430 + -1?\nAnswer: 42e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-15)\/(-1)))\/((-5)\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b. Suppose -5*h + 5*f - 5 = b, 0 = h + 4*f - 18 - 1. Let p be (-6)\/(-4)*2\/h. Sort -2, p, 5 in increasing order.\nAnswer: -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**3\/3 + 13*a**2\/2 + 12*a - 15. Suppose -27 + 3 = 3*n. Is i(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004054056 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let u(j) = j**3 + j**2 - 2*j + 1. Suppose 5 = -2*k + 3*o, -1 + 17 = 5*k + 2*o. What is the least common multiple of u(k) and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -91, -56, -25, 2, 25, 44?\n\"Answer: -2*m**2 + 45*m - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3444*h + 772*h + 161*h as i*h + g and give i.\nAnswer: -2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 6*u**5\/5 + u**4\/24 - 37*u**3\/6 + 104*u**2. What is the second derivative of v(r) wrt r?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 269 + 207. Let v = -12 + l. Suppose 3 + v = n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 4 + 14*l - 7*l)*(-3*l + 4*l + 0*l) + (3 - 2*l - 3)*(4*l + 2*l - 4*l) - 8*l**2 + 0*l**2 + 2*l**2.\nAnswer: -8*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 4*r - 5*f - 4 = 0, -3*r + 4*f = 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1831+-74\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*f**2 + 278*f - 278*f as w*f**2 + v*f + g and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjeh when four letters picked without replacement from {e: 5, h: 2, j: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21449.08 times -15?\nAnswer: -321736.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-40) + 2 + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -135135 (base 6) to base 11\nAnswer: -968a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*p + 6, 0 = -4*n - 3*p - 6. Let j(x) = 639*x + 6. Let a be j(3). Let b = -532669\/277 + a. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/((-88)\/3))\/((-3)\/60)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/159)\/((-28)\/(-24))*3045\/30?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 75 + 81 = 0. Let o be j*(642\/90 - 7). Factor 1\/5*u**2 + 1\/5*u - o.\nAnswer: (u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose -75 = -2*v + 3*o, t*v - v = -5*o + 160. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25 - 5)\/(2\/4). Suppose a - m = 14. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.395 times -9?\nAnswer: 3.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**3 - 98*h**2 - 182*h**2 + 26*h**2 - 21434*h + 21606*h = 0.\nAnswer: -43, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 - h - 3*h + 6*h - h in the form y*h + p and give p.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107568 is divided by 18772?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - -11 - ((106 - 45) + -16).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 264?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 + 3*g + 4. Let a be p(-2). What is the third derivative of 52*m**4 + 125*m**a - 41*m**4 + 53*m**4 wrt m?\nAnswer: 1536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8980 and -41\/50.\nAnswer: 44900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3\/7 - 117*f**2\/7 - 312*f\/7 + 432\/7 = 0.\nAnswer: -36, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452993*s + 345893*s - 126855*s.\nAnswer: 672031*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-14)*(-10)\/3. Suppose b = -5*c + 2 + 3, 5*c - v = -5*b. Let m be (10\/15)\/(25\/3). Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209019643 divided by 1\nAnswer: 209019643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 28. Suppose -c = v - 3*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-2 - -6) - -28*92 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {d: 1, f: 6, s: 10}?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x**2 + 180770*x - 1948905 = 0. What is x?\nAnswer: -2421, 161\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3293 + 3384. Let v(o) be the second derivative of 4*o**3\/3 - 3*o**2\/2 - o. Let u be v(2). What is the highest common divisor of u and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.5, 1, 2\/351 in descending order.\nAnswer: 1, 0.5, 2\/9, 2\/351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/12*1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2 - 149407800*c + 1116134535042000 = 0.\nAnswer: 14940780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*m**3 + 2*b*m + 293*b + 213*m wrt m.\nAnswer: -6*b*m**2 + 2*b + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2943 and 73\/661521.\nAnswer: 5953689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 96, 2, -89, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1465 + 4182 = 3*q - 5*u, u = -2*q + 1794. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 216 = -46. Let g = 74 + 462. Let a = g + o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:26 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*p - 5*p - 19, p + 17 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3653 (base 8) to base 4.\nAnswer: -132223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 12*t - 6*t**2 - 4*t**3 + 3*t**3. Let x(q) = -4*q + 53. Let u be x(15). Let f be n(u). Put f, -5, -2 in increasing order.\nAnswer: -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2\/2 + 14*x + 1452. Let l(u) = u**2. What is l(d(a))?\nAnswer: a**2 - 28*a + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 2, f: 1, l: 2, e: 1}. Give prob of picking 1 f, 2 e, and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 11 - 5)*(-5 + 2 + 2) + (-1 + 2 + 1)*(-1 + 1 + 2))*((-2 + 3 - 3)*(2*a + 0*a + 0*a) + 17*a - 99 + 99).\nAnswer: 299*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 121 times 2053\nAnswer: 248413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -2*j + 11. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/10 + 124\/5. Let w = n - 15. Suppose 5*y = 97 - 2. Calculate the remainder when y is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 3. Let s be d(-3). Suppose 0 = -s*f - 2*f + g + 6, 0 = 5*f + 4*g - 28. Solve 2 - f = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 11:09 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 - 2. Let d = k - 0.3. Suppose 3*q - q = 0. Is q != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from nurnnrrorao.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.05 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -6) - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-15)*6\/(-8). Are g and 43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10003 + 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + -1 + -4.\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 3f75?\nAnswer: 3f7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1626 + 0.0404. Let d = -0.003 + c. What is the closest to d in 0, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6 - 2521*d - 4 + 283*d**2 - 33*d**2 + 2521*d. Let g(a) = -a**2. Calculate g(f(l)).\nAnswer: -62500*l**4 - 1000*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 - 59063*j**3 - 1087*j**2 - 278177020*j wrt j?\nAnswer: -24*j**2 - 354378*j - 2174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - -200638?\nAnswer: 200738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011330 (base 4) to base 13.\nAnswer: -b6425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10325326 - 1?\nAnswer: 10325325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 5*c + 20. Suppose -183 + 8 = -4*r - 3*d, -c*r = 2*d - 170. Let k = -25 - -46. Calculate the remainder when r is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13967111.\nAnswer: 149, 93739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*q + q + 10, 3*u = 3*q + 21. Suppose 109 + 561 = -2*z. Let p = 341 + z. What is the greatest common divisor of u and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 652 = -18. Let l = k - 80. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -44*x - 92. Let a be y(32). Let g be (-5696)\/24*a\/8. What is g rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471 - 7378 = -253*i - 1274 + 4316 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/7*105\/10. What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44\/5, -2022, -107\/3.\nAnswer: -2022, -107\/3, 44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1a3?\nAnswer: -19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.6, 3, -1\/2, 0.056.\nAnswer: -4, -1\/2, 0.056, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/20 + m**3\/3 - m**2\/2 - 9*m. Let f be z(3). Solve f = 5*q + 5*t + 7, t - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*t + 121*t - 10076 = 13780 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 12 = -40964*l + 40969*l, -3 = -s - 3*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(2 + (-5*(sqrt(187) - sqrt(187)*1) + sqrt(187) - (sqrt(187) + -1*sqrt(187)*-2))\/(sqrt(77)\/(sqrt(77)\/(sqrt(55)\/sqrt(5))))).\nAnswer: -1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 5c?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 66347723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v + 16 = -35*v + 2*x, v + 3*x = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*m + 1745 = 3*m, b = 3*m + 577. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 + 170*m + 48. Let b(n) = 6*n**2 + 110*n + 32. Let t(c) = 11*b(c) - 7*s(c). Give t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose 6 + 2 = 2*n, -3*f + 12 = s*n. Suppose f + 4 = 4*v. Solve -3 = -4*b + v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/32139 and -73\/3035350.\nAnswer: 27318150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**3 + 6*v**3 - 6 + 2 + 8*v + 5*v**2 - 1 + 0*v**2. What is h(7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(40)\/(sqrt(48)\/sqrt(600)) - (4 + (sqrt(50)*1)\/sqrt(10))))*4)**2.\nAnswer: -1728*sqrt(5) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 43 + 74. Suppose -o + 6 = w, 3*w = 3*l - 1890. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 587250*t**2 - 71720795*t + 220447500 = 0. What is t?\nAnswer: -125, 3, 117572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from mnnmmmmmmn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*t - 1. Find the common denominator of 19\/t*54\/(-252) and 67\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1218 and 13746?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - j + 4 - 5 + (2 + 2 - 2)*(j + 0*j + j) + (0 - 8 - 3)*(-3*j + 2*j - 2*j).\nAnswer: 36*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1 times -4.2?\nAnswer: -55.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 56 = -4*y, 2*y - 2292*i - 892 = -2317*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*r + 62304 = -159*r + 341*r. Is r a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69345062617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3110, 0, 2, -8 in decreasing order.\nAnswer: 2, 0, -8, -3110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401771, -401761, -401737, -401693, -401623, -401521, -401381?\nAnswer: -401197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.243 - -300.757. Let c = s - 297. Is c less than or equal to 2\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-1) - 1)*-16. What is the greatest common divisor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23874.43 millennia in decades?\nAnswer: 2387443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 6)*8152\/40730 + 4\/(-4). Is 0 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4, -40 in decreasing order.\nAnswer: -2\/5, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133204241*s**2 - 19375*s - 217.\nAnswer: 266408482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 10*d**2 - 2*d - 13. Let j be l(-10). Let c = -5 + j. Let i(s) = s**2. Let x be i(c). Solve -x*m + 2 = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (84\/(-43) - 302\/6493))*48\/30\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 5) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3720345414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 + 281. Does 43 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -88413, -87432, -86451, -85470, -84489?\n\"Answer: 981*a - 89394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 times 0.069?\nAnswer: -78.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4641909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10101.91 - -2471.02. Let y = -7783 - p. Let k = -151 - y. Round k to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -3257.319?\nAnswer: 325.7319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42584815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 - 133564*i**3 + 267224*i**2 + 2671536*i + 3205728 = 0.\nAnswer: -33393, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 divided by -6.\nAnswer: -169\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*z + 15490 = 0, 0 = 3*q - 2*z - 19768 - 26600. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 bigger than 23\/34030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -31, -52, -73?\n\"Answer: -21*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -5*d + 5*k + 382970, 3*k = 15. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -211*i + 48*i + 47*i + 53*i + 51*i. Let q(s) = -5*s**2 - 7*s - 7. Let b(j) = -3*j**2 - 5*j - 5. Let h(u) = 7*b(u) - 5*q(u). Give f(h(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17267331 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -45608 and -45608 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 21. What is the remainder when 51 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3593.\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 29*o - 57*o + 156*o**2 + 2.\nAnswer: 156*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3*t = 87, -4*v + 55 + 8 = -t for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0, 1\/4.\nAnswer: 0, 1\/4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k - 122*k + 0*k**3 - 2*k**3.\nAnswer: -2*k**3 - 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 - 4.6. Let m be -1*107\/48 + 1. Let t = m - -9\/16. What is the third biggest value in t, o, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -99. Calculate the remainder when (-8)\/16*(-102 - -6) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*c + 462*c - 2904460*c**2.\nAnswer: -2904460*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21*-14.8269\nAnswer: -311.3649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -190 + 57 + 15*o + 68 + 67. Determine q(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/96 and 35\/3410928.\nAnswer: 6821856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/183812 and -131\/120.\nAnswer: 5514360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000b (base 13) in base 11?\nAnswer: 1a515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(3) - (-2*sqrt(75))**2).\nAnswer: -4*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.74 - -5.54. Which is the closest to -7? (a) l (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 0 in decreasing order.\nAnswer: 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 0 = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461.6202 litres to millilitres.\nAnswer: 461620.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 7180.\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160139656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*j = 3 - 0, -2*h - 2 = -2*j. Suppose -g + 2 + h = 0. Suppose 0 = -g*k - 2 + 11. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.5576km to nanometers.\nAnswer: 11557600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. Suppose u = 6*n - n + 15. Is ((-15)\/6)\/(n\/66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403800 divided by -2019\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + y**3 + 2*y**3)*(2*y + 5*y**2 - 2*y) + 7*y**5 - 2*y**5 - 3*y**5 + (2 - 2*y**2 - 2)*(4*y**3 + 16*y**3 - 10*y**3).\nAnswer: -23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2837996336389735\/319332 - -614226136799\/69. Let u = i - 14537299. Let f = u + -1\/356. Put 2\/9, f, 0.04 in decreasing order.\nAnswer: 2\/9, 0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 1. Let z(u) = u + 1. Let q(v) = -2*p(v) - 10*z(v). Let n be q(-6). What is the second derivative of 3*d - 2*d + 0*d**n - 2*d - 4*d**4 wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4365.5973 + 0.1973. Round n to the nearest 10.\nAnswer: -4370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 5*m**2 + m**2 - 5*m**2 + 1. Let d be o(5). Let j be d\/(-5)*10\/(-6). Let l(h) = -h**2 + 1. Let k(p) = 2*p**2 - 1. What is j*l(s) + 2*k(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from ddtudztdtwdtdzp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(70))\/sqrt(10).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4464*b + 25 = -4450*b - 3. Sort -5, -22, b, 1 in ascending order.\nAnswer: -22, -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 6*w + 6. Let g(j) = -3*j**2 + 5*j + 5. Determine 4*g(b) - 3*k(b).\nAnswer: -3*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*8\/(-16)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**3 - 5*i**2 + 7*i + 5. Let o be (-4)\/(-16) - (-42)\/(-8). Let a(h) = -4*h**3 + 2*h**2 - 3*h - 2. Determine o*a(b) - 2*z(b).\nAnswer: 2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose 0 = 5*q + 2*c + 3, 2*c = -5*q + 5*c - 8. Is b less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 1\/(1\/(-24)) + 112\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 2*w**2 - 3*w**2 + (2*w + 4*w - 4*w)*(-2*w - 5*w + 4*w) - 1 + 1 - w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -287 (base 15) to base 12\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0507, -274, -9, 1?\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 - 6*y - 16. Let x(w) = -w**3 - 6*w**2 + 9*w + 19. Let t be x(-7). What is the tens digit of k(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((10800\/(-256))\/25).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3\/7 + 13672*h**2\/7 + 559968*h = 0. What is h?\nAnswer: -266, 0, 3684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 15. Let m be (3\/s - 2)*-4. Suppose 0 = -2*r + 3*u + 23, 0 = r + 2*r + u - 7. Solve -r = 2*b + m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*n**2 + 11*n**3 - 7*n + 71*n**2 + 5*n as t + z*n + v*n**2 + c*n**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 1083*f + 153406. Calculate u(-658).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.9 + 67. Which is the nearest to -1? (a) u (b) -0.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7088, 14165, 21242, 28319, 35396, 42473?\nAnswer: 49550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.31?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -143*d**4 - 27*d**3 - 48*d - 2513. Let c(q) = -142*q**4 - 28*q**3 - 56*q - 2513. Let a(r) = 6*c(r) - 7*v(r). Find the first derivative of a(l) wrt l.\nAnswer: 596*l**3 + 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1881091 - 9*h - 1881091.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 13*s + 21 = 0. Let d(f) = -3*f**2 - f - 1. Let h be d(s). Let n = 103 + h. What is the greatest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let x(v) be the third derivative of -v**5\/4 + 30*v**2. Determine x(k(j)).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 938254.6 millennia?\nAnswer: 93825460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 34 - 2 + 10018*a**2 + 10 to the form t + b*a + k*a**2 and give k.\nAnswer: 10018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, -62 in decreasing order.\nAnswer: 23, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let q = -264 - -264. Let s(d) be the third derivative of q*d - 7*d**2 + 0 + 0*d**3 + 1\/20*d**5 + 0*d**4. Determine s(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 1010 - 18*y - 1010 - 9*y - 132*y**3 + 6*y as k*y + p*y**2 + f*y**3 + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55084 is divided by 208.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(32)\/sqrt(4)))\/(sqrt(1375)\/sqrt(5) + sqrt(11)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 339149.\nAnswer: 1695745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1583, -1595, -1607, -1619, -1631, -1643?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:45 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2205893 + -2204301.693. Let f = 1590 - s. Let t = f - -1.23. Round t to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1\/4, 234.39, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2122473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2. Let k(d) = -105639907*d. What is z(k(j))?\nAnswer: 22319579901937298*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/(-30) + 1)*213\/142. Suppose -5*v - 2*t = -17, 0*t = v + 5*t - 8. Let d be (-2)\/v + 25\/45. What is the closest to s in 3, d, 5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 2, t: 7}. Give prob of sequence tr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/80)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.08 + -0.7. Let d = t - 0.1. Let w = -0.2 + d. Is w <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3 = 5*s - a, 0 = -3*s - 2*a + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 60*i + 64*i - 37 + 73.\nAnswer: 4*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(42)\/(4*sqrt(18)\/sqrt(3)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 88 = -195. What is the common denominator of -41\/54 and g\/12 + 85\/340?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 7\/((-14)\/(-12)). Suppose -5*f - d + 0*d + 56 = 0, -4*f = n*d - 48. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 168*r**2 + 171*r**2 - 512*r**2 - 13*r + 184*r**2. Let q(m) = -39*m. Determine q(h(l)).\nAnswer: -429*l**2 + 507*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.6646 seconds in nanoseconds?\nAnswer: 135664600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -224*q**2 + 670*q + 6.\nAnswer: -2*(q - 3)*(112*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 11, -5 in ascending order.\nAnswer: -5, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**7\/315 - 23*w**4\/6 - w + 59. Let v(k) be the third derivative of y(k). Let f(q) = 2*q. Give v(f(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.02592335 rounded to three decimal places?\nAnswer: 2.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 + -50 + -36 - 21) + -40?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:47 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 39. Let r = -52 + 49. What is the remainder when -72*r*(-8)\/(-36) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.7 + 82.7. Which is the fourth smallest value? (a) z (b) -0.4 (c) -0.9 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37658 - 36202. What is the lowest common multiple of w and 42?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + h**3 + 5*h - 4*h - 5*h.\nAnswer: 4*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 5632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v\/v**(1\/4))\/v)*v))**(-2)\/(v*v\/((v*v**8*v*v*v)\/v)*v*v**(-5\/3)))\/(((v**(-1\/3)\/v)\/v*v)**25*v**6\/(v\/(v*v**2)*v)) assuming v is positive.\nAnswer: v**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 68. Suppose 5 - 9 = -v*g. Let h be -6 + g - -1*7. Solve 4*r - 3*x - 7 - 21 = 0, h*x + 8 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/5971590 and 31\/351270.\nAnswer: 5971590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*t + 18, m - 6*m + 6 = -4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/3)\/g)\/g**(-11))\/(g**(-8)\/g*g*g**(-1\/21)\/g*g) assuming g is positive.\nAnswer: g**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3082)\/(-36))\/(3\/(-12)). Let p = 344 + w. Suppose 2\/3*j**2 + 4\/9 - p*j = 0. What is j?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-988)\/(-3393). Put 0, n, 1 in descending order.\nAnswer: 1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.73 (b) -3 (c) 1\/9 (d) 0.5 (e) -82\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -29.8. What is the fourth biggest value in 0.1, -0.12, -3\/2, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**3 - 7*s**2 - s + 4. Calculate r(-3).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (-130)\/35. Suppose 9*f - 205 = i*f. Calculate the remainder when f is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*f - 2*z, 11 = 2*f + z - 178. What is the least common multiple of 765 and f?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 18\/5*j**5 + 0*j**2 - 55\/12*j**4 + 0 - 61*j + 0*j**3. Find the third derivative of c(g) wrt g.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 7)*29 - 1. What is the second derivative of -d*o**3 + 173*o**3 + o + 10*o**5 wrt o?\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7*i + 8)*(-205 - 645 + 45).\nAnswer: 5635*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g - 2. Let z be t(0). Let a = 0 + 8. Let s be (2\/28)\/(2\/a). Is z at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20 = 0, 64 + 4 = 2*q - 2*a. Let i = q + -20. Let l = i - 0. Calculate the remainder when 28 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1474391*t**3 - 597*t**2 + 597*t + 2388. Let q(a) = 12338*a**3 + 5*a**2 - 5*a - 20. Give -597*q(f) - 5*w(f).\nAnswer: 6169*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + 3*p + 3. Let z be n(3). Suppose 4*r - 2*v = v - 4, -z*v + 20 = 4*r. Solve -o - 2 = y + 2, 7 = -o - r*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 385 + 341 = 2*b, 5*t - 5*b = 55 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 19111.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.2 - 64.04992. What is o rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 6. Suppose 26*l + 168 = 22*l. Let m = l + 49. Let h be f(m). Which is smaller: -2\/25 or h?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32679, 64712, 96767, 128844, 160943, 193064, 225207?\n\"Answer: 11*a**2 + 32000*a + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 299393004.\nAnswer: 299393004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780799725 to the power of 1\/2, to the nearest integer?\nAnswer: 42200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 15*y - 12 = 0. Solve 21 = -3*x + 3*u + 3, -y*x = 2*u - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 <= -56105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 28\/8. Suppose -4 + 12 = m*v. Suppose -v*r + 9 = k - 1, 0 = 4*r + 3*k - 16. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 9) to base 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 3*x + 86 + 12*x**2 + 3*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(1\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10665463.3649047\nAnswer: -10665461.3649047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 981925*a - 3927721. Determine d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -848244 - -5950743\/7. Let s = t + -1869. What is the common denominator of s and -26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2492, -2503, -2522, -2549, -2584?\nAnswer: -2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -42*x**2. Let r(g) = 105634*g + 69. What is r(b(k))?\nAnswer: -4436628*k**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 0. Suppose n - k = 3*g + 5*n, 0 = 3*n + 9. Factor 14*o**2 + 14*o - 4 - 4*o**g - 8*o**3 + 0*o**3.\nAnswer: -2*(o - 2)*(o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/44 and -87\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d**2 + 75*d + 216. What is the units digit of p(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {q: 1, p: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1) + 1*4. Suppose 3*z - s = 9. What is the derivative of 0 - z + 9 - 2*p**2 wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = -b, 9*x + 26 = 7*x + 5*b. What are the prime factors of ((-2736)\/54)\/(x\/108)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) -0.418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-273) + (-375)\/63 - 1*-2\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1 + (-4 - -5)*-1. Let m be 5 - (-2 + -6*x\/6). Solve -4 = 2*v - m*f, -f - 6 = -4*v - 2*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 886.6457 decades in months?\nAnswer: 106397.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213 by 4.\nAnswer: 213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 2\/(-1))\/1. Find the second derivative of l*u - 12*u - 51*u**5 + 40*u**5 wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - -0.49. Let r = 6 - 9. What is the third biggest value in t, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 7*g + 2*g)*(-g**2 - g**2 - 2*g + g**2).\nAnswer: 3*g**3 + 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*b + 3*x = -715*b + x - 258, -4*x = 4*b + 296 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/((1\/3)\/(5\/(-15))). Let m = d + -19. Find the third derivative of -j**4 - 6*j**m + 12*j**2 - 3*j**4 + 4*j**2 wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-6) + 15\/(-45). Solve 3*s + d = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -1a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3108 - -3108.2. Which is the nearest to -2.1? (a) -5 (b) y (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-23331)\/(-90)*429\/(-11088) - -10 and 91\/64.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22751 (base 9) to base 5.\nAnswer: -441233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(-2*t - 1 + 1) + 177*t - 108*t - 90*t as u*t + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - 1*sqrt(13)) + (-1 + sqrt(13))*6 + (sqrt(13) + sqrt(13) + sqrt(13) + 1 + 0)**2*6.\nAnswer: 42*sqrt(13) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + (3 - -5 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - z**2 - 8*z + 0*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 10759882\nAnswer: 5379941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -14, 8\/13, 67569, -0.4?\nAnswer: 67569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 2. Let c be z(1). Let o(k) = -3 + 1 + c - 3*k. Let g(t) = 2*t. Give o(g(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51648460 and 4776.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1473 - -11833\/8. What is the common denominator of 93\/22 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39348817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556067, -1112187, -1668305, -2224421, -2780535?\nAnswer: -3336647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -897, -900, -903, -906?\n\"Answer: -3*i - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/59? (a) 0.3 (b) 0.024 (c) -7 (d) -0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**4 - 128880*v**3 - 1054240272*v**2 - 259562257920*v - 16224526209024 = 0.\nAnswer: -15984, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176163 + 21837 = -2*c. Round c to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 2\/3 (b) -0.4 (c) 595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9528322.6 to the nearest 10000.\nAnswer: -9530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, u: 8, x: 1}. Give prob of picking 2 l.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 404 + -9290\/23. Let u = -1.1 + 0.8. Let o(l) = 2*l - 4. Let s be o(3). Put s, t, u in descending order.\nAnswer: s, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36905 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 2) + 1 - 3 - (-12 + (10 - 3)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2. Let h(g) = g**2 - 1. Let w be h(2). Let o(f) = 3*f - w*f + f**2. Calculate m(o(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 3*n - 444 = 0, 2*l = 3*n - 16 - 1 - 19 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10405 is divided by 650.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -26042.62 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1774*t**5 - 289*t**5 - 128*t**5)*(2 + 0 + 3).\nAnswer: 6785*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4*o)*(-364*o - 3165809 + 2*o**2 + 3165809) as y*o + h*o**3 + s + d*o**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, -0.03, -4\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/894913 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-7))\/((-6)\/(-7)). Let p = -42\/11 + 148\/33. Let 0 - p*w**3 - 2\/3*w**4 + 2\/3*w + g*w**2 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.72483 - -0.27517. What is the closest to -1 in -314\/3, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-14))\/((-4)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2958393695 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31481868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 287930.\nAnswer: 1\/57586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7706535857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 179*v + 94. What is the hundreds digit of n(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1389, -1393, -1397, -1401, -1405?\n\"Answer: -4*r - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 17*m**2 - 15*m - 16. Let y be w(16). Let d be (6\/(-3))\/(5\/(-3205) - y). Let r(q) = -d + 1282 + 26*q**2. Let k(x) = 2*x. Give k(r(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4589 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2 + 2*a + a - a + (-3*a - 2*a + 3*a)*(-2 - 2 + 6) + 0 - 2*a + 0 + a + 3*a - a)*(107 + 151 + 558).\nAnswer: -2448*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1062*d + 19476. Calculate o(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 + 307*l - 56. Let f be d(15). Let g(q) = q**2 - 52*q + 149. What is g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7152\/(-28))\/((-14)\/147)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220464985?\nAnswer: 5, 13, 3391769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, f: 3}. Give prob of sequence zf.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 4*b**2 - 4*b**2 - 87*b**4 + 146*b**4 - 124*b**4 + (-3*b**2 - 3*b**2 + 4*b**2)*(2*b**2 - 2*b + 2*b) + b**3 - b**3 + b**4.\nAnswer: -67*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**5*n - 7*g**3*n**2 - 67*g**2*n**2 - g*n**2 wrt g.\nAnswer: -300*g**2*n - 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 5*v + 6. Let f be j(-4). Suppose -3*p - 3 = 2*i, -3*p + f*i - 18 = -i. Let w(n) = -16*n + 5. What are the prime factors of w(p)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24771 + 0?\nAnswer: -24771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4, 2*u + 2*h = 4*u - 18. Let b be u - (-2*1 + 2). Suppose -121*n + 1184 - 337 = 0. Solve 2*p = 3*r - b, n + 5 = -r - 3*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15342 - -25?\nAnswer: -15315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4488*n**2 - 2223*n**2 - 2250*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.4 and 2762471.\nAnswer: 2762467.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(2 + 1*(sqrt(200) + 1) + -1 + 0 + sqrt(200)))**2.\nAnswer: 2880*sqrt(2) + 28944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h**2 - 10*h - 14. Let s be a(-9). Let i = -660 - s. Let d = 11 + -7. Sort i, -3, -1, d.\nAnswer: i, -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 10970 + 20495. Suppose -n = -12*a - 811. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 6*q - 438. Let t be 1\/((3\/q)\/1). Let s = t + 111. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1007.29 - -54466.71. Let u = q + -55506.987. Let s = -33 - u. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*c + 10, 3*k - 2*c + 0*c - 14 = 0. Suppose k*f + 452 = 6*f. Let q = f - 789\/7. Sort 2, -0.3, q in decreasing order.\nAnswer: 2, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6841.13954 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 223*q**4\/24 + 61*q**3\/6 + 27*q**2 - q. What is the units digit of m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768147354.825 minus -0.03?\nAnswer: 5768147354.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3)\/w*w**(-9))**38*(w**(-7)*(w*w*w\/(w\/(w*w\/(w**(1\/6)\/w)*w))*w*w)\/w)**(-50) assuming w is positive.\nAnswer: w**(-1343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10.35485 litres?\nAnswer: 10354.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (554292\/(-9254))\/6*3\/1659. Let i = g + -1\/32389. Let h = i + -3994\/23779. Find the common denominator of 51\/2 and h.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let p be y + 4 + (-277)\/182. Let m = -2\/91 - p. Which is the second smallest value? (a) m (b) 2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 24*m**2 - 24*m - 9. What are the prime factors of i(-23)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 74416*q - 190370466.\nAnswer: 2*(q - 39611)*(q + 2403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 13*o + 36*o = -24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 132fd3 (base 16) to base 14\nAnswer: 24a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 3713685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 2. Suppose s*w + 8 = 4*w. Suppose 0*q - 2*q = w*u - 350, 0 = -4*u - 3*q + 349. Calculate the remainder when u is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27390*l - 306 = -27358*l + 238 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2695) + sqrt(2695))\/sqrt(11) - 2*(sqrt(5) - -2*sqrt(245)))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160637187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 5, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5039853591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 320594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 925 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 1. Let h(t) = t**3 + 4*t**2 + 5*t + 6. Let g(j) = -h(j) - 3*z(j). Let v be g(-4). Factor 9*m + v*m - 2*m**3 - 2*m**2 - 10*m.\nAnswer: -2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641809643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0*u - 1 - 4*u + 2*u - 5*u. Let r be n(-1). Solve -2*z - 14 = -2*w, 0 = -r*w + w + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/2700*-5)\/(38\/342)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwyyy. What is prob of sequence yyw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37a + -57?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0 - 21. Let g = 0 + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147641 and 2132.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Suppose 0*u - 3*u - 2715 = -4*o, 0 = -2*o - k*u + 1340. Suppose 0 = 122*l - 119*l - o. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17986 and 1388441.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*i = 4*i - 2, 2*t = -2*i + 4. Let n be -6 + (t - 1 - -2) - 6. Does 10 divide 20\/90 + ((-250)\/n - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*n**4 + 166*n**2 - 15*n + 26313873 wrt n?\nAnswer: -24*n**3 + 332*n - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y**2 + 907*y + 226. What is the hundreds digit of s(-118)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -792, 1, 4, -10 in decreasing order.\nAnswer: 4, 1, -4, -10, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6 + 4)*26. Suppose -4*b = -l + 39, -3*l - 5*b = -2*b - f. Find the first derivative of -12 + 1 - l*r**4 - 20 wrt r.\nAnswer: -156*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 45. Suppose g*v = v + 183. Suppose -23*q = -20*q - v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 100 = -5*p, p + g = -3*p + 55. Is 17\/5 + -3 - (-7299)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ccccyyccyccycy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = 5, r - 57005 = -a. Round a to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20240)\/(-99))\/(-16) - -13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 9 + 19*m - 13*m - 19011*m**3 - 5*m**2.\nAnswer: -19011*m**3 + 6*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/925 and 131\/666?\nAnswer: 16650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(4\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 - 7*z + 6. Suppose -6*s = -23 + 5. Let k(u) be the first derivative of 1\/3*u**3 + s + u - 1\/2*u**2. Calculate -g(q) + 6*k(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*u**5 + c**3*u**2 - 15354*c**3*u - 3085*c*u**5 wrt u?\nAnswer: 60*c**3*u**2 - 185100*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24354)\/20295)\/((-6)\/(-200))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - c + 6 - 5, 5*y - 5*c = 35. Suppose 44*b = 49*b + 5*v - 3870, b = y*v + 764. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 681 = -569. Suppose 4*u - 53 + 17 = 0. Calculate the smallest common multiple of u and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044 (base 5) in base 14?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208008*h*x + 5*x + 9452 wrt h.\nAnswer: 208008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (476\/(-680) - 1\/(-2))\/((-1)\/(-5)). Sort -1584, -5, b in decreasing order.\nAnswer: b, -5, -1584","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -62. What is the second smallest value in 5\/3, 0.3, g, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 5)*1\/8. Let g = 1 - 1.1. Sort 0.01, g, w in decreasing order.\nAnswer: w, 0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175*o + 604*o - 279*o)*(-4 + 2*o**2 + 4).\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1131, 1120, 1093, 1044, 967, 856?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 95*b + 245. Determine p(35).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000302677 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**4*u + 59728*a**3*u**3 + 12*a**2*u - a**2 - 66*a*u**2 + 25*u**3 - 2*u wrt a.\nAnswer: -144*a*u + 358368*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -168814 minus 36?\nAnswer: -168850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2027996, -4055931, -6083866?\n\"Answer: -2027935*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 7. Let m be o(6). Let x = m + 16. Suppose -x*p + 6 = -4. Solve -2*i - 6*t = -t + 14, 0 = 3*i + p*t - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 212 = 2*y. Let l = 58 + -25. Let o = -15 + l. Calculate the remainder when y is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, 2\/5, -3, 0.049, 1\/894?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277244170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208420)\/(-65) - (-270)\/(-585). What is the greatest common factor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 1 - ((-3 - 24) + 26)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 429312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 78348304 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*2 - (sqrt(95) - (sqrt(95) - 4*(sqrt(95) + 1*sqrt(95)))))\/((2*2*sqrt(320) + sqrt(320) - sqrt(320)) + 1*sqrt(320)*3).\nAnswer: -sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*s + 38*s + 2027831 = 7*s. List the prime factors of s.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2727 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -740 + 1376. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 3586441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:53 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -75 - -55 - -81.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*s + 25 = 0, -2*f + 5*f = 2*s + 92. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*u - 33, -11 + 1 = -2*u + 5*o. Let t = -10 + u. Let n = -6128 - -6123. Put n, t, 4 in decreasing order.\nAnswer: t, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 120826 = -120714 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0 - d - 7\/12*d**4 + 7\/6*d**3 + d**2 - 1\/20*d**5. Let a be -1 + (-56)\/(-14) - 66\/6. Determine i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/144 and 73\/651816.\nAnswer: 1303632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 15. Let z(v) = v**2 - v + 1. Let n be z(-3). Let y be m(n). Solve y*q + q = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 20*l)*(-1 + 4 + 0)*(l - 3*l + 5*l).\nAnswer: -171*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - 8)\/(2*(-2)\/(-98)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 491466 and 78667.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -35?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i**2 - 18*i + 25. Is n(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6205286 and 70699?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:30 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-2)\/1. Suppose -3*u = -j + 10. Suppose 0*z - 3*z - 6 = 0. Sort z, u, 0 in descending order.\nAnswer: 0, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/294 and -113\/133672.\nAnswer: 401016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v + 3. Let c(d) = 18*d + 5. Let j(o) = -o - 11. Let u be j(-8). What is u*c(y) + 5*i(y)?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/11 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/12*9\/6. Let g = 172204\/1431 + -12151\/53. Let k = g + 109. What is the third smallest value in p, -3, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*67\/67.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**8\/420 + d**6\/60 + 2*d**3\/3 + 5*d. Let i(r) be the second derivative of s(r). Find the third derivative of i(q) wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 10*f - 12. Give b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1189 and -7287?\nAnswer: -8664243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n + 15*n)*(-3 + 3 - n) - 6*n**2 + 10*n**2 + 7*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(405) - (-2 + sqrt(405) + 2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 14.2. What is b rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32415 = -5*m + 20*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 + 19*l - 18. Determine b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 305 = 13. Suppose -d + 33 = -10*o. Calculate the remainder when 89 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164699257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*-1*218\/6867?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66313 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*j - 69. Let a = 11 - j. What is the remainder when 23 is divided by 7 + (a - -5)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(10)\/sqrt(5) + 3*(0 + sqrt(2)).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 + -1255\/7. Which is the fourth smallest value? (a) 3 (b) 0.2 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -383, -1765, -4435, -8693, -14839?\n\"Answer: -50*o**3 - 344*o**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/8 - (-294)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/42 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 28. Let l be j(11). Solve -4*d = -l - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000052038 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/20622 and -77\/4910?\nAnswer: 103110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13323521 (base 8) to base 4\nAnswer: -23122131101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1599 and (2\/(-12))\/(462\/(-8844))?\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9892 - 0.0592. Let o = -0.07 - w. Which is the third smallest value? (a) 1 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -12, 0, 4, 14, -3 in descending order.\nAnswer: 24, 14, 4, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 4 + 4)*(21*v - 48*v - 102*v).\nAnswer: 129*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5054 + 5073 = 19*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddrrrdrrrdddrrdrdr. Give prob of picking 1 d and 3 r.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 - 4*p + 46. Let y(x) = -x**2 - 11636*x + 2*x**2 + 11636*x. Give a(y(j)).\nAnswer: -3*j**4 - 4*j**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 9*m + 15. Let i(u) = 7*u**3 - 14*u**2 - 28*u. Let t(h) = 4*h**3 - 7*h**2 - 15*h. Let a(w) = m*t(w) + 3*i(w). Determine a(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101100 (base 2) to base 3.\nAnswer: 1112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 10 + 101. Suppose 3*f - t - 368 = 0. Calculate the remainder when f is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670385510 to the power of 1\/2, to the nearest integer?\nAnswer: 25892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -12.\nAnswer: -83\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5367 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.27, 2\/43, 1.6, 15\/4, -0.5, -7\/5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 4, 758, 2 in increasing order.\nAnswer: 2, 4, 82, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*2\/(-4))\/(((-680)\/5355)\/((-2)\/(-3)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13516 (base 9) to base 8.\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2)*h)\/(h*h*h**(-3)*h)*(h*h\/(h\/(h\/(h\/(h*h*((h**(1\/5)\/h)\/h)\/h*h)))))\/h*h**(-1\/8)\/h*h*h)**(-16) assuming h is positive.\nAnswer: h**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*l + 4896 = 78*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 45185?\nAnswer: 45185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + 375. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 1 - 4*f - f**2 + 3*f**3 - 2*f**4 + f**4 to s*f**4 + p*f**2 + o*f**3 + t + z*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 - 9*o + 24. Let s be a(0). Which is smaller: s or 25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**3\/6 + w**2 - w. Let y(c) = -32 + 10 + 11 + 12. Let k be 3 - (-2 - (-8)\/2). Calculate k*u(m) + y(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 (base 7) in base 11?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59826.75 millennia?\nAnswer: 717921000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1728 + -1604. Sort 5, -2, v in descending order.\nAnswer: v, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.927 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6618 - -10219. List the prime factors of m.\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 45312044.\nAnswer: 226560220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + 3 + -2 - 1. Let m = 4 + o. Let t be (110\/m)\/((-4)\/(-6)). Calculate the highest common divisor of 121 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 1086 - 14204. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3 + 37*j**2\/2 + j - 105. What are the prime factors of t(10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 1, j: 3, t: 1}. Give prob of picking 1 p and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2387406 equal to -2387350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence and when three letters picked without replacement from {f: 1, a: 1, n: 6, d: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1418485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -989*n**2*o**3*x**3 + 21*n**2*o**2*x**2 + 160*n**2*o + 27*o**3*x**3 + o**2*x**3 wrt o?\nAnswer: -5934*n**2*x**3 + 162*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6346918?\nAnswer: 2, 307, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896 = -19*o - 1839 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32044221 rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s + 83*s + 3*s.\nAnswer: 141*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31318395.\nAnswer: 3, 5, 1171, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -77. What is the third biggest value in r, -2\/11, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*v + v - 1 = 0, 0 = 5*d + 2*v + 26. Let q = d - 2. Let s = 9 + q. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/24*((-1)\/3 + 1). Let c(o) = o**3 + 12*o**2 + 26*o - 9. Let r be c(-9). Let a = -9 - -5. Sort w, a, r in descending order.\nAnswer: w, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g = -3*a - 59 - 72, 0 = a - 3*a + g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6634377 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5*p - 9. Let t be n(7). Suppose 2*c - 6*f + 14 = -2*f, 11 = -t*c + 4*f. Let k(v) = -2*v**2 + 2*v**3 - c - 2*v**3 - v**3. What is k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 - 35*d**2 + 67*d**2 - 33*d**2 - 8*d**2.\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306299102.\nAnswer: 2, 29, 5281019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*f + 5*a, -f - 19925477*a + 19925481*a - 11 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 1, h: 1}. What is prob of sequence lh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870, 866, 862, 858, 854?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 12*c - 14*c + 8 - 2*c**3 to the form g*c + i*c**3 + r + m*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 22. Let n be (-2)\/4*2*-6. Calculate the greatest common factor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/360 + u**5\/60 - u**4\/12 - 4*u. Let t(q) be the third derivative of z(q). Let a(s) = s. Calculate 3*a(w) + t(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*(m\/(m*m*m*m**(-14)))\/m*m**(-1\/6))**(-3\/5) assuming m is positive.\nAnswer: m**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330913803.\nAnswer: 3, 11, 191, 52501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544 by 18.\nAnswer: -272\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6.12. Let s = -7.12 - v. Let l = s + 6. Which is the biggest value? (a) 0.5 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - 5*b**5 + 4*b**3 + (1 - 2 - 2)*(1 - 1 + 13*b**5).\nAnswer: -44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -5 - (-21 + 2 + -3 + -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.2, 2\/29, 4, 84\/19?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11274967.\nAnswer: 11, 1024997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6184 divided by 2\nAnswer: -3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79970819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52007274 and 2977?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -6. Let m = b - -10. Let f = 164 - 153. Solve m*t + 2*v = -f, -4*t - 2*v - 2 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 8*y**2 + 8*y + 7. Let t be s(-7). Suppose 0 = -3*z + 3*p, -5*z + p = -t*p + 4. Let m be 0\/(-1*(-2 - -4)). Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 71. Let t be x(-4). Let j = -57 - t. Let k(z) = -4*z**3 - 2*z**2 - 2. Let m(c) = -4*c**3 - 3*c**2 - 3. What is j*m(b) + 3*k(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*o + 832 - 298, 0 = 4*k + o + 737. Let m = k + 117. Find the common denominator of 208\/m - (-2)\/(-3) and -5\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-18 + 25 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnxgxxxnxomxxyyo. What is prob of picking 2 x and 1 n?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -12948 at most as big as -51795\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*u - 5*u + 1566 = 0. Put 0.5, -1, u, -56, 0.4 in increasing order.\nAnswer: -56, u, -1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4965, -4956, -4935, -4896, -4833, -4740, -4611?\nAnswer: -4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/44177 and 5\/56799?\nAnswer: 397593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/5)\/(48\/(-160)). Suppose -4*y + 5947 = r, -4*r + c*y + 10181 = -13627. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 + 103244*q**2 - 11003352*q + 52436160 = 0 for q.\nAnswer: 5, 102, 25704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 15 - 60. Suppose 2*a + 4*k = 16, 4*k - 2 = 2*a - k. Let m be 13\/a - 2\/8. Solve -m*s + v = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 3*a**2 - a - 120. Let u be m(0). Let c = -97 - u. Calculate the remainder when 38 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t + 2*t + 2*t + (2*t - t - 6*t)*(4 - 3 + 0))*(5 + 3 + 2) in the form b*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 47*u = 45*u + 5644, -i + 3*u + 1122 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163 and 212?\nAnswer: -34556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 12 = 0. Sort 7, -2, h in decreasing order.\nAnswer: 7, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 294.07.\nAnswer: 293.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84134.26 litres in millilitres?\nAnswer: 84134260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2813*l**2 - 17*l**3 - 2804*l**2 - 30*l**3.\nAnswer: -47*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (-2)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2980, -2973, -2962, -2947, -2928, -2905, -2878?\n\"Answer: 2*g**2 + g - 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2 + 11*f + 95. Let g be x(-6). What is the derivative of -166*o**3 + g*o**3 - 85 - 169*o**3 - 44 wrt o?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -x + 2*p, 0 = 5*x - p - 158 - 40. Calculate the remainder when 215 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*x - 4 = -147*x - 4. Factor -1\/4*i**2 + x*i + 1\/4*i**4 + 1\/4*i**5 - 1\/4*i**3 + 0.\nAnswer: i**2*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (43 + 14 + -21 + -86)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 1 f when three letters picked without replacement from {k: 5, f: 2, q: 1, t: 5, h: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1013 divide 14422081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**3\/3 - 11*p**2\/2 - 11*p - 1808. Calculate c(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 3165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:54 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 13653 + 387. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 21877*o - 2792. Is b(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1 + 4 + 2 - 4*r - 1. Let f(b) = -12*b + 11. Let t(c) = 3*f(c) - 8*m(c). Determine t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v - 4, 0 = -d + v + 2. Suppose c + d - 35 = -a, -4*c = -a - 125. What is the remainder when 61 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*m**2 - 4*m + 0*m**3 + 43*m**2 - 5*m**3 to r + y*m**2 + z*m**3 + a*m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 0*g - 4*g + 3*g + 87863*g**2 - g - 87856*g**2.\nAnswer: 7*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/60116865 and 74\/87.\nAnswer: 1743389085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 0*u**2 - 5*u**2 - 5*u**2 - u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/21)*l**(-2\/7))\/((l*(l**(2\/11)\/l)\/l)\/((l\/(l**4*l))\/l)))\/((l\/((l\/(l**(-2\/5)\/l*l)*l)\/l*l)*l*l**2)\/(l**1)**5) assuming l is positive.\nAnswer: l**(-1123\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:18 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 3340*u**2 + 185445*u + 24875190.\nAnswer: 5*(u - 591)*(u - 138)*(u + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 8*t - 4. Suppose -k + t*s - 4 = -24, 3*k - 4*s = 28. Let u be ((-2)\/k)\/((-6)\/(-24)). Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056283 is divided by 479?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.5 (c) 201 (d) -2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*i = -6 - 9, -36 = 4*l + 4*i. Let h(m) = 2*m + 4. Let b(r) = 5*r + 8. Let u(d) = -3*b(d) + 7*h(d). Let y be u(l). Solve 6*n + y = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-8 - (-3 + -1)) - -92. What is the highest common factor of 49 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/11 + -101 + -2. Let t be (-54)\/(-30) + -2 + (-156)\/s. Let k = -8 - -13. Which is the closest to 0? (a) t (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 16*p - 10. Let z be q(-16). Is 6\/11 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -h, -10*w + 2*h + 77 = 47. Put -14, 0, w, 2, -12 in decreasing order.\nAnswer: w, 2, 0, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a + 247. What is g(36)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212103330 (base 4) to base 10\nAnswer: 156924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:09 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 395*c**3 - 5*c**2 - 395*c.\nAnswer: 5*c*(c - 1)*(c + 1)*(c + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/45 and 17\/17178?\nAnswer: 257670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.814 + -2.186. What is the nearest to 1\/4 in 4, u, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 761236.3 meters?\nAnswer: 761236300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/520*-15 - (-74)\/112. Factor -1\/7*k**2 + q - 1\/7*k.\nAnswer: -(k - 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 - 2*o**3 + 3*o**3 + (-6*o + 2*o + 2*o)*(5*o**2 - 3*o**2 - 3*o**2))*(6 - 3 - 4).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 2*d**3\/3 + 18*d - 7. What is the lowest common multiple of 18 and y(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 7. Suppose 2*w + c = 5*w. Suppose -3*o = -12 + w. Solve v = o - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 184\/(-36))*1. Sort u, 32, 5 in increasing order.\nAnswer: u, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6, 11, 8, -3, -4 in ascending order.\nAnswer: -6, -4, -3, 6, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1100*s**5 + 5160*s**4 - 7568*s**3 + 3552*s**2 - 512*s = 0.\nAnswer: 0, 16\/55, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 1725557520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7480129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -822 - -1250. Suppose -31*o = i - 5419. What are the prime factors of o?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2 + 22. Let h = -3 - z. Let u(j) = 7*j**3 - j. What is the units digit of u(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(98)*2 + -4))**2 - 2*((sqrt(50) - sqrt(100)\/sqrt(2)) + sqrt(50) - -1*sqrt(32)).\nAnswer: -466*sqrt(2) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wajaawaaaa. Give prob of picking 1 a and 1 w.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7*t = 2*t + 319, -1276 = -4*o + 2*t. Let d = -298 + o. Calculate the remainder when 86 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73014591 divided by 1?\nAnswer: 73014591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 6) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1511840 and 274880?\nAnswer: 3023680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13197 - -13178.74. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -526 + 1943*i - 515*i - 822*i wrt i?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 - -9.9. Let u = v + -6. Let n = 105.5 - 106. What is the third smallest value in -3, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {j: 3, m: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 81 = 2*b - 7, 4*t + 59 = b. What is the least common multiple of 3 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-255)*5\/3*-1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17828323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343825911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 48 = 8*k. Calculate the remainder when 269 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7540 divided by 116\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 264 = 4*r - 78, 4*f - 5*r - 658 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*c + 25260 = -15778 + 13213 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478311 at most as big as 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = a + 58. Let l(y) = 14*y + 105. Let u be l(-7). What is the second smallest value in u, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.57 - 0.054782.\nAnswer: -19.624782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let w(i) be the third derivative of 0*i**d + 2*i**2 - 1\/12*i**4 + 0*i**5 + 0*i + 0 + 1\/40*i**6. What is the second derivative of w(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x + 188. Does 62 divide n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29328)\/780)\/((-4)\/(-5))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than -7.493975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21336600 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4738699*q*r**3 + q*r**2 + 2*q*r + 2*r**3 + 9*r**2 + 50*r wrt r.\nAnswer: -28432194*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/423 or 0?\nAnswer: 20\/423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 z when three letters picked without replacement from vddhzv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/465 and 36\/25265.\nAnswer: 75795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6*f = -f + 5, 5*z + 3*f + 7 = 0. Let o = 968 - 968. Let g = 13 - -13. Put g, z, o, -3 in ascending order.\nAnswer: -3, z, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1255 + 683. Let c = p - -1153. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725360 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: Let x(q) = 19*q**3 - 3*q**2 + 54*q + 126. Determine x(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -803 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5083 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let v(o) = 4*o**2. Let q(b) = 5 + 5*b - 5 + 0*b. Determine q(v(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201120 + 11?\nAnswer: 201131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68544 = -1420*x + 123*x + 275*x - 1120*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29207 + 379701\/13. Suppose -6\/13*x**2 - 2\/13 + 10\/13*x - v*x**3 + 8\/13*x**4 = 0. Calculate x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s + 3*s + 2 - s**2 + 0*s**3 - s**2. Let h be r(-4). Suppose 5*c - 152 = -3*m + h, -2*c - 2*m + 80 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114220703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(117) + (1*sqrt(13)*1 - (-5 + sqrt(26)\/sqrt(2)))**2.\nAnswer: 30 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 - 9\/2*y**6 - 40\/3*y**4 + 57\/4*y**5 - 5*y - 10*y**3 + 1 + 10\/21*y**7. Suppose r(g) = 0. What is g?\nAnswer: -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -13 (c) 28 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 2 - ((-10 - -11) + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t\/t**(-21))*t*t*t**(2\/11) assuming t is positive.\nAnswer: t**(-207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = -5*s + 13, 2*s - 4 = -d. Let h be 160\/s - (-14)\/21. Is h\/((-1)\/(-6) + 9\/18) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**7*o*o\/(o**(2\/11)\/o))**(-5)*(o**(-2\/7)*o*o**(-2\/21)\/o)**(2\/3) assuming o is positive.\nAnswer: o**(10849\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 55*w**2 + 29*w + 58. Let h = 29 + -21. What is the lowest common multiple of h and o(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.128 - 0.072. Let a = 0.6 + -0.4. Let u = d + a. Sort -2\/3, u, -5.\nAnswer: -5, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259584, -518907, -778230?\nAnswer: -1037553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10976.5 (b) -38.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 0?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -1 + (2 - 0). Let w be o\/(-10) - 2070\/(-25). Suppose 3*n - 3*h - w = -n, -h = 5*n - 80. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107887 is divided by 1211.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43 + 44.57. Let k = 0.14 - 19.14. Let s = k + f. Sort -4, s, 5, -2 in decreasing order.\nAnswer: s, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:01 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637991 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161307224.\nAnswer: 2, 283, 954641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 756.00000671 - 756. Round f to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -637792*f**3*p + 50*f**2*p - 6*f**2 - 3*f*p + 2*p - 86 wrt f?\nAnswer: -3826752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20102120 + -2313?\nAnswer: 20033201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98.7, 0.4, -1, 0.3, -1\/7 in descending order.\nAnswer: 0.4, 0.3, -1\/7, -1, -98.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1297, -2687, -4077, -5467?\nAnswer: -6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 40*x - 1. Is 7 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**3*n))**(-42)*(n\/n**(-7\/2))\/((n**(-11)\/n*n)\/n))**(4\/13) assuming n is positive.\nAnswer: n**(570\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*r + 109*r + 93*r as y*r + z and give y.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -252994, -506344, -759694, -1013044?\n\"Answer: -253350*t + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26057671 and 16387?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -15*f - 3*a - 27, -5*f = 4*a + 1. Let l(n) = -n**3 + 3*n**2 + 13*n - 5. Let v be l(5). Solve -v = f*r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.5 * 8.3.\nAnswer: 419.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/((-95421)\/3742).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 580041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-228)*(-9)\/(-30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*s**5 - 2*l*s**2 - l*s - 54*s**5 + 15*s + 2 wrt s.\nAnswer: -20*l*s**3 - 4*l - 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2037322 divided by -304.\nAnswer: -1018661\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:51 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let g(p) = 3*p - 24. Calculate -2*f(w) - g(w).\nAnswer: -w + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54749189*s + 37929611.\nAnswer: 54749189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56648573, -56648570, -56648567, -56648564?\n\"Answer: 3*n - 56648576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 91 = -23. Calculate the remainder when 9 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 4 + 4)*(-t + 2*t - 1 - 2*t)*(11*t + 0*t - 4*t).\nAnswer: 14*t**4 + 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -19*d**6\/120 + 13*d**3\/3 + 17*d**2. Let u(j) be the first derivative of y(j). Let l(c) = -2*c**2. Determine l(u(b)).\nAnswer: -6498*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-48))\/(-3)*188\/(-987)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1671, -1670, -1669, -1668, -1667?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.8617 and -0.2?\nAnswer: -3.57234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 1db8?\nAnswer: -1db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 6*o + 2*o - 1, -5*p + o - 14 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 33*h**2 - 449*h**2 - 46.\nAnswer: -416*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/9 - 10\/9. Let h = 45 - 49. Sort o, h, 1\/2 in decreasing order.\nAnswer: 1\/2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 561 and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 5*g - 5. Determine c(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb788 - -4?\nAnswer: 1bb78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -922841.\nAnswer: -5\/922841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = l + 1, -5*q = 4*l + 35. Let o(d) = -2*d**2 - 10*d + 2. Let i be o(l). Solve 0 = i*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (18\/(-30) - 780\/(-550)) - 1384\/132.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -14*b - 2*z + 312, 5*b - 3*z - 764 = 0. Suppose 3*h - h - 28 = 0. What is the greatest common divisor of b and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19\/3, 2, 0.3, -4\/51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -407, -920, -1433, -1946, -2459, -2972?\n\"Answer: -513*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20383117439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*m + 15 = 0, -25 = -c - 5*m - 10. Solve 5*u + 4*i + 9 = -c*u, 0 = -2*u - 2*i - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v + 46*v**3 - 12*v - 13*v.\nAnswer: 46*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 179536*h**4 - 4 - h**3 + 179533*h**4 + 5*h**2 - 2*h to s*h**3 + c + a*h + j*h**4 + z*h**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 374*p**5\/5 + 895*p**4\/12 - 25*p**2 + 3*p. What is the second derivative of j(x) wrt x?\nAnswer: 8976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/16*153*132\/1130976?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = 0, -469 = 4*b - 4*r - 497 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.167564um?\nAnswer: 4167.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61247 - -37014?\nAnswer: 108262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1407665, -1407666, -1407669, -1407674, -1407681, -1407690, -1407701?\nAnswer: -1407714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -67*k - 22. Let p(l) = -36*l - 11. Let z(b) = -11*p(b) + 6*s(b). Suppose 3*o - 74 = -83. What is z(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 - 1138?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2280)*-133*-22*(32\/(-22))\/4?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 3 = -11*k. Let f be (-6)\/(-15) + (-1)\/k. Put f, -0.02, -0.5 in decreasing order.\nAnswer: -0.02, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31119?\nAnswer: 3, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 194949, 194939, 194929?\n\"Answer: -10*i + 194959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 3)\/(3 + -1). Let s(f) be the third derivative of f**2 + 0*f**4 + 0*f**3 + y*f**5 - 1\/210*f**7 - 1\/240*f**6 + 0 - 1\/672*f**8 + 0*f. Factor s(h).\nAnswer: -h**3*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 9:21 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3 + 5*g + g**2 + 5 - 2 + 0*g**2. Let t be h(-4). Is 6 a factor of 14 + (-7)\/(7\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 335*h**3 + 1870*h**2 - 2440*h.\nAnswer: 5*h*(h - 61)*(h - 4)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3802240 + 3335.\nAnswer: 3805575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let o = 3 - -21. Let r = -19 + o. Which is the third smallest value? (a) 1\/4 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.4 (b) -58 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -4*s**3\/3 - 45*s. Let u(o) = -21*o. What is y(u(c))?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + 3015\/20. Find the second derivative of -g*o + 156*o + 0*o**2 + 0*o**2 + 5*o**5 wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 40*q + 400. Let w be b(-10). Do w and -41\/32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:42 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 171. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h = -77*h - 715. What is the remainder when h is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*c + 4 = 0, -34*b - 4 = -38*b + 3*c. Suppose 0 = 2*l - 5*u - 18, -7*u = -l - 2*u + 14. Solve l*w - 31 = -3*g, g = -b*w + 4*g + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*s - 110 = 126*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/560 + v**7\/630 - v**5\/30 - 3*v**2. Let i(u) be the third derivative of f(u). Suppose i(r) = 0. Calculate r.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 10 = 36*x. Suppose -5*w - 2*i + 42 = 0, 3*i = x*w - 9 - 4. Suppose 47 = 3*y - 169. Calculate the highest common divisor of y and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22021011221121 (base 3) to base 14.\nAnswer: 824cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -5.8 = -161\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1608179593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -745743046333\/1556073630 + -1719\/1217585. Let r = f + 4310\/9. Calculate the common denominator of -1*38*3\/24 and r.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 0 - 5)\/(-2). Suppose -27 + 4 = 5*p - 2*g, -4*p + 4*g - 16 = h. Sort -4, 1, -10, p in descending order.\nAnswer: 1, -4, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 g when three letters picked without replacement from {q: 2, w: 2, g: 1, j: 1, o: 1, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/23)\/(i\/(i**(-12)*i*i)*i))\/(i**(-1\/2)*i**9\/i) assuming i is positive.\nAnswer: i**(-893\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*n**3 + 8*n**4 - 21*n**3)*(4 - 5 - 1 + 3 - 3 + 1 + (0 + 2 - 3)*(-4 + 0 + 6) - 1 + 2 - 5) as z*n**4 + d + w*n**3 + r*n + o*n**2 and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (4 - -8)) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 238, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -26*b - 56 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 20. Let s be v(17). Suppose l = -2*z + 42 - 11, 0 = 5*z - l - 74. Let g be s\/((-4)\/(80\/z)). Solve -w = -g*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 82 (b) 2 (c) 5\/3 (d) -0.3 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*-6*52\/(-9)*192\/(-64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15093 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24300 = -80*f - 457*f + 84*f - 222*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 48*d**2 - 42*d + 240. What is the least common multiple of (-4)\/(-12) + (-20)\/(-3) and t(-47)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/((-69)\/(-230)). What is the closest to 1 in t, 2\/3, -2\/3, 149?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3034 and 32554?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 2 - -44) + 4 + (-1 - 10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**3\/3 + 3*o**2 - 6*o + 2. Let a(t) = -t - 1. Give 4*a(g) + d(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z**5 - 981*z**4 - 13809*z**3 - 53199*z**2 - 27750*z + 12600 = 0 for z.\nAnswer: -21, -20, -5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3935377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*b + 3 - 41 = 0, -2*x = -4*b + 62. Let d = x - -68. What is the remainder when d is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3001221220 (base 4) to base 12\nAnswer: -323034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27945.2 millennia in centuries?\nAnswer: 279452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 1 = -42*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -536 - 2?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:45 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 6)*(-69 - 86 + 3*d + 104) + 2 - 2 - 3*d + (-d + 0*d + 3*d)*(1 - 1 + 2) as j + p*d and give j.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from sssqzffsffnsfqnsnzqs?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + a = -3*h - 0*h + 121, 16*a + 5827 = 120*a + h for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78980020113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 312\/(-44))*(194 - 199).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.2, 0.5, -2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**(3\/11)*i**(4\/11)\/(i\/i**11) assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose -f*c = y, -2 + 0 = y + 2*c. Let g be y\/(-8) - 423\/(-12). Solve -4*a - 2*z - 3*z + g = 0, -4*z = 5*a - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6761 and -9335.835232.\nAnswer: -16096.835232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 97333535140*m + 7 - 97333535146*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1046 - -1104. List the prime factors of i.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:19 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11064 - 10?\nAnswer: 11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2326290 and 1163145.\nAnswer: 2326290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 54, 218, 542, 1080, 1886, 3014?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617 is divided by 826?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (22 - -40) + -53.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*h**3 - 86*h**3 + 239*h**3 - 77*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - h = -z - 3220, 4*z = -3*h + 6440. What are the prime factors of z?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6959358\/13 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31497 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 2635 = 0. Suppose 3 = -3*l, 0 = h + h + 3*l - w. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 + 16a6?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (6 + -4 + 4)\/((-2)\/(-18)) and 99?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**2 - 30 - 40*h**2 - 4 - 38*h**2.\nAnswer: -2*h**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*p - 26 = f, 5 = -p. Let j = 1.99 + 0.01. Let w be (12\/(-10))\/(2\/(-5)). Which is the nearest to 2\/3? (a) f (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8442?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowo. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/(-3))\/(-2))\/(-1). Let k be v\/1 - (-3429)\/(-21). Let d = 163 + k. What is the second smallest value in d, 0.4, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804 - 235*o**2 - 806 + 1610 - o.\nAnswer: -235*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 - p + 3. Let o be b(6). Suppose 0*w - 37 = 5*a + w, 3*w - o = 3*a. Sort a, 1, -2 in descending order.\nAnswer: 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1606, 1607, 1608, 1609, 1610?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i = -60*i - 2034 + 274. Put i, -5, -2, 2 in descending order.\nAnswer: i, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + l - 5 - 2 = 0, 4*q - 2*l + 38 = 0. Let t be (-7)\/(63\/q)*3. Suppose 0 = -3*u - t*i + 17, 4*i + i - 7 = u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50928571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*p - 59*p + 8678 = 42*p + 3651 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0536? (a) -0.5 (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 8*c**2 - 9*c + 5. Let h be o(7). What is the second smallest value in h, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4 - 5*d - 1 - 3*d + 10. Let s(i) = 16*i - 10. Let m(g) = 5*q(g) + 3*s(g). Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 5.9. Let s = f + 2.56. Let u = -0.34 - s. Which is the second smallest value? (a) u (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9460 + 9466. Let a(f) = f**3 + 1. Let d be a(1). Let u(x) = 0*x - 4*x + 3*x - d + 1. What is u(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 divided by -11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**6\/27 + 2*j**5\/5 + 5*j**4\/18 - 50*j**3\/27 - 2*j**2\/3 + 32*j\/9 - 46. Solve s(w) = 0.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1299\/7 + -4587\/28. Let p = -271 + 1513\/6. What is the common denominator of p and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, i: 2, y: 8}. Give prob of sequence yyyy.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 3, -3, 5 in ascending order.\nAnswer: -3, 3, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211*f**4 + 1160 wrt f?\nAnswer: 844*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5*(-5 - -8). Which is smaller: z or 304?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389 - 269. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-62)\/12)\/(15\/(-90)). Let u(o) = -o**3 - 3*o**2 + 2*o + 4. Let x be u(-4). Let n = l + x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21891, -28472, -35053, -41634, -48215, -54796?\n\"Answer: -6581*k - 15310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 + -1 + 38. Suppose 0 = -0*v + 5*v - w. Suppose v*s + 2*s - 630 = 0. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9652*w. Let p(n) = 66*n**2 - 11. Determine r(p(i)).\nAnswer: -637032*i**2 + 106172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9 + (-938)\/28)*(-2)\/(-14) and 3\/(-12) - (-65)\/28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5\/2)*(u**(11\/2)\/u)\/u)**(-44))**(-5) assuming u is positive.\nAnswer: u**1540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 0*c)*(2 + 2 - 3)*(-3 - 2 + 0).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) 0 (c) -0.0215 (d) 7190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -389, -582, -775?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 1.7. What is the third biggest value in -4, 3, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-7*l**2 + 4*l - 4*l)*(3*l - 5*l + 4*l)*(0 - 4 + 3)*(13 - 1 + 3).\nAnswer: 420*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57153272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.68 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 25355?\nAnswer: -25353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -436, 213 in descending order.\nAnswer: 213, 1, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 105\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -663 divided by 437437\nAnswer: -51\/33649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1439\/9 + -160. What is the closest to 0.5 in 1\/4, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -722*o. Let c(y) = -16*y - 5. Let w(h) = -6*h - 2. Let b(n) = 2*c(n) - 5*w(n). Determine b(j(r)).\nAnswer: 1444*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 7804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 8) to base 2.\nAnswer: 10101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 249, 250, 251?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((-2)\/52*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 229\/5833380 and 7\/969.\nAnswer: 5833380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 16*n + 1. Let r be v(11). Let k(j) = -1 - 2*j**2 - 66*j**3 - 7*j + r*j**3 - j**2. Let g(t) = t. Let l be g(5). Determine k(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s - 6. Let k be o(4). Suppose 0 = 2*z + 4*n - 18 - 4, 0 = -z - n + 7. What is the greatest common divisor of z and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -556\/9 at least as big as -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280242981, -280242976, -280242971, -280242966?\n\"Answer: 5*k - 280242986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 368*p + 23576. Calculate l(-64).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19195349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -50, -46, -42?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 21334*f**2 - 9*f - 15. Let g be p(15). Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -81399385 less than -81399388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20296.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*0.6\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 - 16*z**2 + 4*z - 21. Is q(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435 divided by 210.\nAnswer: -29\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:31 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3*l**2 + 4)*(-1 + 1 + l) - 2*l**3 + 2*l + l**3 - 2*l**3 as u*l**3 + y*l + s + h*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(78\/(-20))*((-266)\/(-855))\/(-7).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)\/p*p**7 assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729376 is divided by 234.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (8 - 8) + (-5 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21\/5 (b) -1 (c) -1\/7 (d) -4211 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**5 + 57*y**2\/2 + 459*y + 226. What is the first derivative of s(o) wrt o?\nAnswer: -20*o**3 + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331591037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(567)*-1)**2 - ((sqrt(567) + -1 - sqrt(567))**2 + -1)) + 1)*-2.\nAnswer: -18146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2\/6*6. Let q(t) = 10*t**3 - t**2 + 7*t + 4. Let v be (-42)\/4*(-4)\/6. Let p(u) = -3*u**3 - 2*u - 1. Give o*q(j) + v*p(j).\nAnswer: -j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*r**3 + 561*r**2 - 276*r + 36 = 0. What is r?\nAnswer: 2\/9, 3\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030082634 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -3\/7*z**2 + 0 - 1\/42*z**4 - 4\/21*z**3 - 10*z. Factor i(v).\nAnswer: -2*(v + 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 16*v - 9. Let s be c(-16). Let g(r) = -25*r - 27. What are the prime factors of g(s)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 7) to base 5.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 4*j**2 + j + 16. Let f be u(0). Let k be (17 + -2)*(2 - 1). Are k and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from gqqgqsqgggsqrqgssg?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22678 + 39028. What are the prime factors of i?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o**3 + 5*o**2 + 5*o + 5. Let c(r) = 12*r**3 - 6*r**2 - 6*r - 6. What is -6*b(m) - 5*c(m)?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113 (base 5) to base 7.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Let l(g) be the first derivative of -g**4\/4 - g**3\/3 + g**2\/2 + 2*g + 2. Calculate the remainder when q is divided by l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - 2*p**2 - p - 2. Let l(k) = 11*k**3 - 9*k**2 - 4*k - 9. Suppose -5*o - 20 = 5*b, 4 = 6*o + 16. Determine b*l(d) + 9*m(d).\nAnswer: 5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2. Let u = -3 + 2. Let r(b) = -b**2 - 2. Let n(q) = -q**3 - 93*q**2 - 268*q + 184. Let t be n(-90). What is t*d(h) + u*r(h)?\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 1629693*m - 6518756. Calculate h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 172449 and 128306.\nAnswer: 300755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -66*a**3 - a**2 + 2. Let z = -80 + 79. Is 48 a factor of d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73a7 + 2?\nAnswer: 73a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/90)\/((425\/1625)\/(-17)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.99 + -0.01. Let h = -7 - -4. Let i = -6\/971 - -2943\/4855. Which is the nearest to h? (a) o (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -5. Let i = w - 15. Put 0, i, 0.5 in ascending order.\nAnswer: i, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssdd. What is prob of picking 3 s and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 212627427.\nAnswer: 2126274270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 45549.7 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4004830*o**4 - o**3 + o**2 - 122744588*o + 1.\nAnswer: -48057960*o**2 - 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 13 - ((9 - 3) + -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = 6*c - 4*c, -5*u = 3*c - 22. Differentiate 11*g**2 - 2219*g**4 + 88 + 2217*g**c + 6*g**2 with respect to g.\nAnswer: -8*g**3 + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.125696*-5.\nAnswer: -0.62848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*f - 34*f - 34 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -6. Let w = -172380 + 172370.9987. Let x = w - q. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-48) - (-5)\/(-4). Which is greater: 28 or z?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/7 + 131578*y**2\/7 - 2164425168*y\/7 + 10818836640\/7 = 0.\nAnswer: 5, 32892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 + (-4 - (2 - -1 - 0))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*y - 231*y + 2*y**2 + 0*y**3 - 2*y**3 as m*y**2 + v*y + t*y**3 + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 15 + 12. Let j = 18 + t. Let d = 19 + j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -285, -290, -301, -318, -341?\n\"Answer: -3*t**2 + 4*t - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.01 (b) -0.2 (c) -5 (d) 28 (e) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 2*f - 3. Let z(n) = -n**3 - 2*n**2 + 3*n + 3. Let u be z(-2). What is b(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**3 + 0 + 1\/3*s**4 + 0*s**2 - s. Let t(y) = y**2. Give q(t(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose -96 = u*t - 7*t. Let n be (-6)\/(-3) + t\/(-18). Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*q + 19562 = 3*l, 3*q = -2*l + 9790. Let h(x) = x**2 + 7*x + 8. Let d be h(-5). Is d - ((-3 - l) + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499503\/(-4585) + 109 + (-1)\/(-5)*422\/(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*w - 132 = 2*x, 3*x = 4*w - 103. Let k = x - -50. What is the units digit of k\/28*(1 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.6 + -42.3. Put q, -1\/5, 4 in decreasing order.\nAnswer: 4, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.58241 - 0.1675?\nAnswer: 126.41491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/35 - (-2)\/(-5) - -450. Suppose -442*l + h*l - 8 = 0. Solve 0 = -v + 2 + l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -1, 51\/4, 0.33, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2*-1 + 1. Let b(p) = p**2 - 4*p - 1. Let i be b(5). Let a be (3 + -1)\/(i - 2). Solve 0 = -f - c*f - a, f + 5 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 2. Let i(y) = y. Let t(h) = h - 15. Let f be t(12). Give f*i(v) + j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {x: 1, p: 4, d: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/90 - 2*g**4\/3 - 340*g**3\/9 + 19*g**2 - 49. Find t, given that z(t) = 0.\nAnswer: -10, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 14. Suppose 17 = 3*a - g, 0 = 3*g - 2 + 8. Is 14 a factor of 142\/a - u\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 53709169.\nAnswer: 53709165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1\/20*h**5 + 0*h - 13\/8*h**4 + 6*h**2 + 6*h**3 + 24. Solve d(t) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 276 (b) -0.5 (c) 54 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 2. Let k be l(0). Let v(r) = -7*r - 6*r**2 + 14*r**k - 10 - 7*r**2 + 15*r. Calculate v(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*c - 163*c + 124 = 0. Sort -20, c, 4 in increasing order.\nAnswer: -20, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 351326249 to the nearest one hundred thousand.\nAnswer: 351300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -650 + 652. Does 63 divide (4 - i)*-4 + 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.6776 less than -6089.42?\nAnswer: -6383.0976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 56, 111, 188?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 7. Let k = s + 13. What is the remainder when 10 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 31 = -2*p - 2*p, 3*b = 2*p + 113. Let q = b + -37. Let x(f) = 9*f**2 - 6*f + 6. Let a be x(q). Is 30 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4)*-1)\/(((-12600)\/(-860))\/63).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1572 (base 10) to base 8.\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02617965 to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 15. Determine q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -198*l - 6 - 281*l + 386*l. What are the prime factors of v(-4)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 48 = 6*l. Solve -4*g = l + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214.318929 rounded to one dp?\nAnswer: -1214.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12718302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 603 - 533. What is the remainder when 838 is divided by c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1))**(-49)*(m*m**(18\/7)\/m*m)\/(m**(6\/17)*m) assuming m is positive.\nAnswer: m**(-5567\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2861, -20118, -66909, -158000, -308157, -532146, -844733, -1260684?\nAnswer: -1794765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -1118\/9. Which is the third smallest value? (a) 0.1 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1273 = -388. Is 10 a factor of (-1 + -2)\/(900\/f - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410028 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*w - 43. Let v(t) = 10*t**3 - t**2 + 6*t - 1. Let n be v(w). Suppose 6 = 3*m - n. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594\/10 + 45\/75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -6. Let i = 384 - 287. Let a = 104 - i. What is the remainder when q is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -a + 110 + 6, -3*a = -6. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -865244.04?\nAnswer: 1730488.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/12))\/((d*d*d**10*d)\/d))\/(d**2)**(-6))**(19\/5) assuming d is positive.\nAnswer: d**(247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - 135. Suppose 413 = u*t - 702. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 4 + 0 - 1)*(6*p + 20 - 20)*(-6 - 2 + 4) in the form o*p + q*p**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0231 - 0.1231. Which is the closest to -0.1? (a) 3 (b) 60 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2752 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2486.825 grams to micrograms.\nAnswer: 2486825000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.21 times -8?\nAnswer: -897.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 3292849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 8. Let z be b(5). Suppose -2*c - a = -28, -3*c + 35 = z*a - 4*a. What is the derivative of c - 6*r + r + 1 - 2 wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -424, -1237, -2800, -5359, -9160?\nAnswer: -14449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 13*t = 2975. What are the prime factors of t?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -523\/4. Let v = 8 - 8. Let s = v + 0.3. Which is the closest to -2? (a) s (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 156*a**3 - 11*a**2 - 236*a - 468. Give g(-2).\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -54. Let k be (-2774)\/5694 - 1\/((-26)\/q). Let w = 0 - 0.3. Which is the third smallest value? (a) k (b) w (c) 1\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)*h*h*h**(16\/9))\/((h\/h**(-1\/5))\/h*h\/h**(-23)*h) assuming h is positive.\nAnswer: h**(-323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-49)\/(-14))\/((-2)\/(-28)). Suppose -5*s + 35 = 205. Let t = s + m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -147 in decreasing order.\nAnswer: 2, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636, 586, 536?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726532 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 1 (c) -5 (d) -1 (e) -0.0952 (f) 3\/62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dbc - 3?\nAnswer: -dbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -1\/12*j**4 + 0*j - 2*j**2 + 1\/15*j**5 - 1\/3*j**3 + 0. Let p(l) = -7*l**2 + 3*l + 3. Give 3*p(r) + 5*x(r).\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 268736 and 4256?\nAnswer: 1881152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - 18*w - 1777*w**4 + 18*w + 4*w**2 + (w**2 + 8 - 8)*(2*w - 2*w + w**2).\nAnswer: -1776*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0 + 3. Let f(p) = -1 + 3 + 3*p + p - 21*p - 5*p. Let m(c) = -c + 1. Let u(r) = l*f(r) - 5*m(r). Differentiate u(n) with respect to n.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5108, 6, 547 in ascending order.\nAnswer: -5108, -1\/2, 6, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 19 + -10 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s - 2. What are the prime factors of j(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625595942.\nAnswer: 2, 312797971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2862 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(432) + 1 + 5 - sqrt(432) - sqrt(432) - (1 + 2*sqrt(432)))**2 - (sqrt(1452) + 1 + (sqrt(36) - sqrt(576))\/sqrt(3)))*1.\nAnswer: -376*sqrt(3) + 3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.01 - -2.05. Let a = x - 0.16. Let v = a + 4.3. Round v to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*f + 2356*f**5 + 9115*f**2 - 18179*f**2 + 9093*f**2 wrt f.\nAnswer: 141360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 95 = 5*f - 499, 336 = 4*f - 4*g. What is the greatest common divisor of f and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, i: 4, k: 2}. What is prob of sequence kxii?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 14. Suppose -h - 1 = 4*p + 11, -3*p - g = 0. Let o(l) = -l**3 - 7*l**2 - 7*l - 1. Let b be o(-6). Solve -4*t + b - 17 = h, 9 = -z - 3*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:58 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r*r**(-1\/5))*r))\/(r**3\/r))\/(r**(2\/3)\/r)**(-38\/5) assuming r is positive.\nAnswer: r**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124583 is divided by 4002?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 2. Let j = -3 + 8. Let x = j - 3. Determine r(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let f be a(4). Suppose 3*y = -5*k + 83, -2*k - 51 = -f*y - 17. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j - 2. What is the remainder when 38 is divided by w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2\/2 + 18*l - 3. Let d(u) = 35*u - 315. Let g be d(9). Give h(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20740003 smaller than 20740008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0456084354 + 14468.\nAnswer: 14468.0456084354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 116\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312947961*a**3 - 50250146*a**2 wrt a?\nAnswer: -1877687766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3*i + 3. Let a be f(3). Let j be 48\/(0 + a) + -3. Let r(u) = u**2 - 8*u + 19. List the prime factors of r(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309 * 33.4.\nAnswer: -10320.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 31.1.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267787831 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -34*j + 5. Let n(l) = 4*l - 1. Let x(c) = -k(c) - 10*n(c). Let t(r) = 3*r - 3. Calculate 5*t(z) + 3*x(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4)\/((-8)\/(-7))*2. Let i(b) = -b**3 + 3*b**2 + 5*b + 32. List the prime factors of i(l).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(5\/(-45)*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20)*2)\/((-21)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:21 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 44*m\/7 - 234\/7.\nAnswer: -2*(m + 9)*(m + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488622, -488752, -488882, -489012, -489142, -489272?\nAnswer: -489402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -49, -217 in ascending order.\nAnswer: -217, -49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -321.27 + 327.129. What is c rounded to one dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 727914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/3 (b) 8 (c) 0.1 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -877 = -2*y - 5*r, -1 = 2*r - 7. Let v = y - 193. Suppose -2*n - 2*z = v, 5*n + 256 = -2*z - 324. What is n rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 5*o + 120 = -7*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195 + -175. Suppose 5*g - 4*y - 76 = 0, -g - 2*y = -3*g + 32. Let a = k - g. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 5*h - 3. Let s be y(-8). Let i = s + 29. Solve 0 = -3*r - 3*f, -2*r + 3 = 3*f + i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*j + 0)*(-4 - 41 - 56)*(0 - 2*j + 0) in the form r*j + q + h*j**2 and give h.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*((-8)\/(-4))\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 9333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u + 4. Let s(c) = -c**2 + c + 3. Let q be s(-3). Let y = 39 + q. Solve -g - g - 4*x = -18, -u*x + y = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r*r\/r**(-13)))\/((r\/r**(-1\/36))\/r*r))**2 assuming r is positive.\nAnswer: r**(-541\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 35, 100, 223, 422, 715?\n\"Answer: 3*z**3 + 2*z**2 - 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267376, -267342, -267304, -267262, -267216, -267166, -267112?\nAnswer: -267054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 8 - (-17 + 26)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34801*d**2 + 60355*d - 1 wrt d.\nAnswer: 69602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10940860 and 385?\nAnswer: 120349460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*f = 42*f - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 100778\/983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 149. Let u be p(19). Suppose 5*a - 1527 = c, u*a - 346 - 561 = -4*c. List the prime factors of a.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -2 + 2)\/(-2). Let u be 15 + (0 - 0)\/z. Let k(y) = 2*y**3 - 6*y**2 - 3*y - 16. Let d be k(4). Solve d*n = n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861305 is divided by 10377?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2053*q**3 + 34 - 34.\nAnswer: -2053*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16425?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2120302 divided by 23\nAnswer: -2120302\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:30 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 533822 plus -17766?\nAnswer: 516056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*d**2 - 1952*d - 7700.\nAnswer: (d - 154)*(13*d + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28961047 - 12161047. What is q rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1478313*d**5 - 292075*d - 4?\nAnswer: -29566260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858032?\nAnswer: 2, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 10. Let x be z(-7). Suppose 0 = w + x, -2*w = 5*n - w - 2392. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -5*j = 5, -3*t + 18*j - 17*j + 10 = 0. Suppose -t*p - h = -4375, g*h + 1449 = p + 7*h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 175, 251, 325?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-1))\/(-84))\/((-16)\/96)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292919 is divided by 206?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - 2) + -1 - 2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in -1\/6, -2, 2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/72568900 and -23\/822.\nAnswer: 217706700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 129 = -4*z - 0*j, 5*j + 91 = 3*z. Suppose -y + 22 = -z. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 10. Let u be a(5). Let b be 6 + (0 - (1 + u)). Put -9, -3, b in ascending order.\nAnswer: -9, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w + 46674 = 13329. What is the highest common factor of 5814 and w?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 2*m - m - 6*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6787*k + 9. Let u(z) = 74664*z + 96. What is 32*m(r) - 3*u(r)?\nAnswer: -6808*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n - 2*n - 2*n + (5*n + 98*n - 54*n)*(-5 + 3 + 0) + (3*n + 0*n + n)*(-4 + 0 + 6).\nAnswer: -89*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l + 15 = 0. Solve 4 = l*f - d - 7, 4 = d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 0*w - 102 + 79 - 6*w.\nAnswer: -2*w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k - 34. Let l be (10\/k)\/((-4)\/6). Let a = 0.8 + -1.2. What is the closest to l in a, 5, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14484 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*k + 0)*(3*k - 7*k + k) + (13*k + 6*k - 26*k)*(-6 + 5 - 3)*(-10*k + 0*k - 4*k).\nAnswer: -404*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 931 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1642 - 1?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -576 + 1032. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d + 4*d, 5*d = -p + 6. Let s(x) = 64*x**2. What is the remainder when s(p) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300470713268 - 300470713268 + 0*s**2 + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*g - 2*f = 174 - 128, 16 = -26*g - 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 4*m + 4*m + 0 + 16*m - 4*m + 0 + (4*m - 6*m - 7*m)*(4 - 2 - 3) in the form s*m + j and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 4, p: 8, k: 5, m: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/8)*o**(-1\/11)*o*o**(-8)*(o**(2\/13)\/o)\/o assuming o is positive.\nAnswer: o**(-9795\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 213860847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/4 - 35019*y\/4 = 0.\nAnswer: -35019, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3247, -5261, -8615, -13309, -19343, -26717?\n\"Answer: -670*g**2 - 4*g - 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 6*c**2 + 3*c + 1. Let t be d(4). Let a = t + 29. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350000 and 20300.\nAnswer: 10150000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 2*g**4 + 2 + g**2 + g**4 + 2*g**3 - g to s*g**2 + l*g + f*g**4 + r*g**3 + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 8. Let o = t + 7. Let l(d) = 2*d**o + 2*d**2 - d**2. Let c(p) = -2*p**2. Calculate l(c(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -5, -11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332477516 to the power of 1\/3, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 834877449 to the power of 1\/2, to the nearest integer?\nAnswer: 28894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 786631 or -7.79?\nAnswer: -7.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1857 (b) 0.4 (c) 4 (d) -3.1 (e) 1 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 16, 0.05, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/30)\/(((-6)\/63)\/2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395818967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + -695\/4. Let v(u) = u**3 + 5*u**2 + 3*u - 2. Let x be v(-4). What is the nearest to -1 in 5, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 1 + 0 + 6*t**2 - 4*t**2.\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2921, -2918, -2915, -2912?\n\"Answer: 3*p - 2924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 125. What is the remainder when 18 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - 2*m + 1. Let b be q(-3). Let u(k) = -k + 0*k - 2 - k. Let l be u(b). Solve -l*z = -6*z - 5*a + 33, -3*a = 2*z - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Suppose 0 = -3*j - 0*j. Suppose 5*f = 5*u + 7 - 2, j = -5*u - 3*f + 19. Let o(m) = 5*m**2 + 0*m**u - 3*m**2. Calculate r(o(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061345431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.0497\nAnswer: 0.1491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -16*m**7\/105 + 3*m**6\/5 - 11*m**5\/15 + 2*m**3\/3 - 35*m**2. Let g(k) = 0. What is k?\nAnswer: -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:48 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 183827309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 492*o + 1000 = 0. What is o?\nAnswer: -2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/20 - 61*c**4\/6 + 1155*c**3\/2 + 7938*c**2 + 739*c. Suppose x(a) = 0. Calculate a.\nAnswer: -4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*144\/24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 30. Suppose -24*o + 4 = -f*o - 4*s, 2*s - 12 = -5*o. Put -2, 0, o, 8 in descending order.\nAnswer: 8, o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-13*(-7966)\/7397\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5534839615.\nAnswer: 5, 47, 2017, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 8. Let r(j) = 4*j - 16. Let c(l) = 5*p(l) - 2*r(l). Suppose -4*m + 8 = -20. Let d be c(m). Calculate the highest common divisor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (-2 + 0)) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1427*(-2)\/20 + 19\/(-38). Let n = 144 + x. Let i = -4 + 8. Which is the third biggest value? (a) 2 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let f(i) be the first derivative of 4*i**3\/3 + 29. Give o(f(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19125)\/(-135))\/(-85)*(-18)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*u - 5*n, n = -4*n - 5. What is the remainder when (-1876)\/(-24) - (-8)\/(-48) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 1. What is r(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*m + 638, o - 210 = m - o. Suppose -5*l - 31 = -2*r, -3*r + 3*l - 9 = -60. What is the remainder when (13\/(-26))\/(2\/m) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002820871 rounded to 6 dps?\nAnswer: -0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28558 and -2.\nAnswer: -57116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 - 3*c**2 - c**2 + (-12*c + 8*c - 5*c)*(-c + 0 + 0) + 2*c + 2*c**2 - 2*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(4\/9))\/((m**3*m*m)\/m)*((m*m**(-2\/3))\/m)**25 assuming m is positive.\nAnswer: m**(-181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/1546 and -103\/10?\nAnswer: 7730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 7*s - 7. Let a(p) = -4*p - 2. Let m(t) = -7*t - 4. Let y(z) = -5*a(z) + 3*m(z). Let g be y(-7). Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579953.2 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 - 8*o - 10. Let x be a(-5). What is the greatest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Let u(r) = -7*r**3 + 1. What is the least common multiple of u(-1) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.99 + 11. Let d = -27.91 - -28. Let x = d + -0.39. Which is the third biggest value? (a) x (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 1 - 5)*(-2*p**2 - p**2 + 9*p**2) - 4*p**2 + 2*p**2 + 0*p**2)*(59 - 59 + 19*p).\nAnswer: 76*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70119 and 2968.\nAnswer: 560952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 2. Let o = 5 - 2. Suppose -o*r = -4*z + 2*z + 40, -2 = -z - 3*r. Calculate the least common multiple of y and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/29790 and 11\/39720.\nAnswer: 119160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -4*o + 37. Let l(g) = -g**3 + 52*g**2 - 101*g + 61. Let f be l(50). Calculate the highest common factor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33076009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502889 to the power of 1\/2, to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/93)\/i*i*i*i**26 assuming i is positive.\nAnswer: i**(2509\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9078859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759.698 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 9, n: 1, g: 1}. Give prob of sequence sg.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (24 + 3)) + 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 27. Let u be i(-18). Let z(v) = -v - 7. Let t be z(u). Solve -t*n + 10 = -6*x + 3*x, 4*n - 20 = 3*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -3, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, -3, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = -r + 2, -27 = -4*v - 3*r. Suppose 49 = -4*q + v. Let t be 1*2\/q*-5. Is 2\/5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 15*x**3 - 110*x**2 + 255*x - 180 = 0.\nAnswer: 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1567 divide 96904847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 16\/29 (c) -3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-27) - 4\/(-18). Suppose 0*k - 4*l - 1498 = -k, -z*l + 1491 = k. Suppose -8*u + k = 238. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -3*i - 1449, -5*i = 5*f - 1465. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -919.56?\nAnswer: -919.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122269442*s**6 + 350*s**2 - 2*s + 12122 wrt s.\nAnswer: 14672333040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -6394\/189 (c) -3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 l when four letters picked without replacement from ldlldl.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -6815526\/7 and -973646 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -67093.35*0.01\nAnswer: -670.9335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -96*i + 3. Let v be u(-1). Let n(x) = -v*x**2 + 49*x**2 + 46*x**2. Let t(s) be the third derivative of -s**4\/24 - s**2. Determine n(t(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 21 - 22 = m, 2*z + 2*m = -2. Solve 4*c - 3*u + 2 = -0, z = -4*u - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19384 + -19385. Which is the closest to -2? (a) -5 (b) x (c) 2.6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9 and 119\/492.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41858100 divided by -12570?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/42*18\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1100) + -3 + sqrt(1100)*-1 + 4 - (sqrt(1100) - (1 + sqrt(1100) + 0) - sqrt(1100))*4))**2 + -3.\nAnswer: 6400*sqrt(11) + 281997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 54. Let n = -16 - x. Solve -v = y - 0 - 2, n*y = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4\/5, -2, 2.29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000220122 - -101021?\nAnswer: -12000112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d12 + -203?\nAnswer: 9b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from clcnf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16579244.7ms?\nAnswer: 0.19188940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-1*sqrt(2)) - sqrt(21))\/(sqrt(1050)\/sqrt(6)).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/15)\/(32\/(-456)). What is the closest to f in 18, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/3))\/(s\/(s\/s**(-1\/4))*s))\/(s**(-1))**(-49))\/(s*s\/(s*s**(-1\/4))*s*s*s**(-2\/7))**(-1\/6) assuming s is positive.\nAnswer: s**(-2721\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 10*x. Calculate r(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 - 3*d**2 + d**2)*(1 - 1 - d**2)*(5*d - 4*d - 3*d).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76565911?\nAnswer: 76565911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:24 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6055397.2 - -6055397.231102409. Let s = z + -0.0311. What is s rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**2 - 9*j + 5. Let d(w) = -8*w**2 - 9*w + 6. Give 5*d(p) - 6*i(p).\nAnswer: 2*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7018.031l to millilitres.\nAnswer: 7018031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000795 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3048*y**3 + 2*y**2 - 1497*y**3 - 1699*y**3 - 2*y**2.\nAnswer: -148*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207460739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144, 300, 562, 930, 1404, 1984, 2670?\n\"Answer: 53*r**2 - 3*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 17, 24, 23, 8, -27?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122445 is divided by 13604.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = g + 2, -2*x - 5*g = -0 + 3. Let r be 2 + (7 - 8) + 2. Solve r*p + x = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2720 and 37\/1360.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + (-119)\/21)\/((-5)\/60). What is the highest common factor of j and 532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 5) in base 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -328.979.\nAnswer: -313.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -43*p + 1. Calculate i(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -110. Let t(l) = -l - 6. Let a(b) = -7. Let j(i) = -2*a(i) + 3*t(i). Is j(d) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 + 6 - 1 - 5*d**2 - 6*d + 7*d**3. Let m be h(6). Let i = 1679\/40 - 208\/5. Which is the nearest to 2\/11? (a) i (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 81?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/(264\/(-99))*8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10192 > 30574\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4055 and 5235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 0, -24, 1\/3, -2 in descending order.\nAnswer: 21, 1\/3, 0, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/9 - (-4)\/18. Let p = c + -10. Let d(o) = o + 1. Let a(n) be the first derivative of n**3 - 9*n**2\/2 - 9*n + 1. Determine p*d(g) - a(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Suppose 3 = p*v - q, v - 4*q = -13 + 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 (base 11) in base 8?\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355 - 354.9. Let k = -8 + 7. Let y = 1.1 + k. What is the nearest to a in -0.1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*m**6*q - 135*m**4*q**2 - 2*m**2*q**2 - 238*m**2*q + 2*q**2 - 32*q wrt m?\nAnswer: -47040*m**3*q - 3240*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + (1 - (-20)\/24).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 9*a - 10*a, 0 = 2*a + 16. Is h != -22\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128197958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4501074, -9002304, -13503534, -18004764?\nAnswer: -22505994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/22*(-8)\/(-18) + (-288)\/(-1296)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549734 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1666\/5 in 5\/2, -1.5, -0.03?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/13339 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22385 + 0.165214. Let p = i + 0.0591. Round p to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67116 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, e: 4, a: 6, x: 2}. What is prob of picking 2 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/((-5)\/((-5)\/(-1))). What is the greatest common factor of 133 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 0*q - 87*q**2 + 74*q**2 - 3*q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 5*n**2 + n + 3*n**2. Let z(y) = -5*y**2 + 8 - y + 0*y**3 + 0*y + y**3 - 3*y**2. Let q be z(8). What is f(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 1\/20*f**5 + 0 + 1\/2*f**4 - 4*f**2 - 1\/3*f**3 - 14*f. Determine b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 6. Let q(f) = 6*f + 7. Let d(z) = 4*q(z) + 3*u(z). Let y be d(5). What is the third derivative of y*v**4 + 16*v**2 - 24*v**4 - 25*v**4 wrt v?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124*58\nAnswer: 7192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130d (base 15) to base 6.\nAnswer: -30451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 103. Let c(r) = -4*r**2 - 2*r**2 - h*r**2 + 4*r**2 + 6*r**2. Let w(i) = -135*i. Determine w(c(b)).\nAnswer: -270*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11.7771?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g - 117 = 0. Suppose 2*r - 60 = -2*l, -5*l = 2*r - 4*r + g. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from xxxxwpxxpwqqxkqxwm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 + 42*v**2 - 2*v - 82. Let f(s) = 3*s**3 - 21*s**2 + 2*s + 41. Let m(h) = 5*f(h) + 2*j(h). Is m(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -5.5. Let w = 614\/33 - 718\/11. Let h = w - -46. Which is the closest to h? (a) 0.4 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174 + 5 + -10 - (32 + -12)) + -17?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1590 by -5.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.638329 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*n - 4*i = -266*n - 2, 2*i - 10 = 0. Let t be (2 - 1)*15 + -1. Let f(u) = -3*u + 2*u + t + 0*u. Give f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23149\/9 + -7717\/3. What is the closest to k in 24\/5, -3\/7, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 482 - -3?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/6, -10, 0.1, -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1696, -1697, -1698?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, -0.4, -0.02, 41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d7a8 + 3da?\nAnswer: -2d3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 368 + -366. Let d(b) = b**2 - 4*b - 1. Let v(n) = 3*n**2 - 15*n - 30. Let k(p) = f*d(p) - v(p). Determine k(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959 a factor of 382141499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose 0 = 5*b - 4*c + o*c - 154, 0 = -3*b + 3*c + 102. Suppose -37*i + 56*i = 1425. What is the greatest common divisor of i and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*n + 28*n - 49*n to z + v*n and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 75*y**2 - 480*y - 572 + 1784 + 5*y**3 - 812 = 0.\nAnswer: -20, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -8. Suppose -2*m = i*m - 16. Suppose -3*l = n - 4*l - 76, 0 = 2*n + m*l - 170. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/17303 + -75502\/17303. Let p be (3\/12 - 18\/8) + 6. Let d(h) = -h**3 + 4*h**2 + h - 8. Let o be d(p). Is v smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/150 and -23\/39?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11048 = 1184*i - 33594 - 25998 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*s + 2. Let t be (-7 - -5)*s\/(-2). Suppose -t = 2*d - 5. What is the smallest common multiple of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-43 + 10*x + 43)*(3 + 1 + 5).\nAnswer: 90*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9140.081ml?\nAnswer: 9.140081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*d + 4 = -16, 5*y + 3*d = -15. Determine u, given that 0 + 1\/2*u**3 - 1\/2*u + y*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*150\/432*(-6)\/(-30)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 1 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**2)\/n))\/((n\/n**(2\/5))\/n*n))**(-40) assuming n is positive.\nAnswer: n**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -253*c**4\/24 - 7*c**3\/6 + 173*c**2. Suppose 2*w + 3*a - 4 = 7*w, 4*w + 10 = -a. Is q(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -t - 13*f + 72, -f + 39 = 4*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02681 - 0.07319. Let h = 4 - 8. What is the nearest to t in 0, -0.5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let q(s) = s**2 - 4*s + 5. Let b(k) = -5*l(k) + q(k). Determine b(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 divided by 715?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5979 + 51688*p + 141926*p - 50923*p - 5979)*(p - 3*p + p).\nAnswer: -142691*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - c - 1. Let b(i) = 9*i**3 - 11*i - 128. Let g(s) = -b(s) - 3*l(s). What is the first derivative of g(o) wrt o?\nAnswer: -9*o**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8488723 + 8488723 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -24 + 43 - (-80)\/(-42).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -474, -936, -1594, -2454, -3522, -4804, -6306?\nAnswer: -8034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-18 + 15 + 20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*n = 63 - 45, 0 = -2*a - 3*n + 8. Let g(j) = -2*j**2 + 1. Give g(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1016 - -831.6. Let n = 184 + b. Let y = -275\/7 - -39. Sort -4, y, n.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -30*o**3 - 1. Let i = 12 - 10. Suppose l = i*l + 1. What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 14 = -2*b + 8, -4*b + 0*b - 58 = 13*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2077963 - 2077963 + 216*a**3.\nAnswer: 216*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/13 (b) -6505 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 12689204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 8*b + 5. Let p(r) = -3*r - 1. Let v(k) = -4*k - 1. Let m(g) = -3*p(g) + 2*v(g). Let d(n) = 3*a(n) - 24*m(n). Differentiate d(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.077 - -0.803. Let i = 0.8800001 - y. Round i to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -21 + (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. What is the remainder when 14 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 147. Is (-6771)\/(-2) + (-3)\/z*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n. Let u(q) = 14*q**2 - 50*q. Give j(u(r)).\nAnswer: -98*r**2 + 350*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxcycfyycfxxxc. What is prob of picking 1 x, 1 c, and 1 f?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b. Let j be z(1). Let p = j - -72. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 1100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 29 = -4*y, 4*y - f - 11 = 12. Solve 10*r + 2*n = y*r, r - 5*n = -27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510082147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -23472?\nAnswer: -23465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 27*t + 222 = 0. What is the remainder when 110 is divided by t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**1))**(-3\/10)\/((a*(a**0\/a)\/a*a)\/((a*a*a\/(a\/a**(-9))*a*a)\/a)) assuming a is positive.\nAnswer: a**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818106.\nAnswer: 2, 37, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.8 - -82. What is the smallest value in -3\/8, 0.5, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1161\/108 - (-6)\/(42\/(-77)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 678 - 63?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -83*c - 2916. What is o(-35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 5, -3, -9356.\nAnswer: -9356, -3, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rhhw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*b = 2*j - 4, 0 = b - 2. Let t(o) = o**2 - 5*o + 2. Let d be t(j). Suppose -6*i + 20 = 4*i. Solve -5*s = -i*z - 0*z - 23, -z - d*s = -11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 21. Let q = y + -26. Suppose 0 + 0*k**q + 0*k + 1\/3*k**3 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21 - (-1192)\/(-56))\/((-1)\/7). Let g(d) be the second derivative of -1\/6*d**3 + d + 0 + 1\/2*d**2. Calculate g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12)*(-192 - (-588315)\/3003)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 + 114031?\nAnswer: 114122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:14 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from tttttxtkw.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 2*p**4 + (-4*p - 11*p - 3*p)*(-2*p**3 - 3*p + 3*p) to the form w*p**2 + r*p + f + m*p**3 + n*p**4 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 89025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + 78. Suppose -5*o = -5*x - 75 + 680, -2*x + u = 2*o. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -9. Suppose -2*b + 3*f = f - 14, -3*b + v = f. What is the smallest common multiple of 8 and ((-20)\/b)\/((-1)\/3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598373591 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + 9 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-6) + 2\/(-6). Let t(k) = -50*k + 60*k - 3 - 8*k. Calculate t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/4))**(3\/10)*((c*c\/(c*c\/(c*((c*c*c**1*c*c)\/c)\/c)))\/c)**(-49) assuming c is positive.\nAnswer: c**(-5871\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 9*i**2 - 8*i + 8. Let u be f(8). Let j be (-4)\/(1*(-1 - -2)). What is the remainder when 9 is divided by (-21)\/j - 2\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (110\/176)\/(6\/48). Solve -8*y = w*r - 11*y - 25, 0 = -r - 4*y + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((((w*w**(-2\/69)\/w)\/w)\/w)\/w))*w**(-2\/59)\/w*w*w**(1\/2)*w*((w\/w**(-9))\/w*w)\/w*w)**(-1) assuming w is positive.\nAnswer: w**(-68695\/8142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:40 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 43*i**2 - 132*i - 250. Give k(46).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1376 = b, 3*b + z = 2*z + 4126. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 + 4. Let p(a) = a**2 - a - 1. Let k(r) = -o(r) + 6*p(r). Let f be k(9). Let l = f - 17. Solve l*j = 2*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*l - 134 = -94*l - 6406 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k - 2. Let b(n) = 10*n**2 + 4*n + 5. Let s(u) = 9*u**2 + 3*u + 4. Let y(l) = k*s(l) - 4*b(l). Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2979, 5443, 7907?\n\"Answer: 2464*v + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/13 - 22000*f\/13 - 3243264 = 0.\nAnswer: -8528, -2472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -16 (b) 5 (c) 1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6, -4*n - 43 = 285*k - 290*k. Sort -5, 18, k, 0 in increasing order.\nAnswer: -5, 0, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:42 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 888 (base 16) to base 3\nAnswer: 2222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1 + (-1 + 0 - 1)*(3 + 4 - 5) + 4 - 2 - 1)*(738*j**3 + 210*j**3 - 428*j**3 + 632*j**3) as q*j**3 + a + u*j**2 + b*j and give q.\nAnswer: -5760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g + 35 = 0. Let h = g - -7. Solve 2 = -4*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 6*c**2 + c + 0*c**3 + 4*c**3. Let g be q(-6). Let r(i) = i**2 + 3*i - 1. Let k be r(g). Solve 2*t + k = l + 2, 5*t - 3*l + 40 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008294 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 226 + 51189?\nAnswer: 513b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j + 0*j**3 + j**4 - 2*j**2 + 2 + 16*j - j**3 to the form q*j**3 + t*j**4 + a*j + d*j**2 + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((6\/8)\/((-2013)\/122)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*2*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -0.27. Which is the nearest to 1? (a) i (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of (-61)\/(732\/(-72)) - -4445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 1866549?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*k**4 + 635*k**4 + 1762*k**4 - 1 + 1 - 2*k**4 + (3 - 3 + 2*k)*(0 + 0 - k**3) as d*k**4 + i*k + q*k**3 + v + j*k**2 and give d.\nAnswer: 2437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94250*w + 220 = -94230*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1\/7))*d**(-6\/5)*d)**(-1) assuming d is positive.\nAnswer: d**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**3 + 5*h**3 - h**3)*(5 - 5 - 4*h) + (9 - 9 + 18)*(3*h - 3*h + h**4) to b + l*h**3 + q*h**2 + i*h + c*h**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - (-9)\/15). Let d = 0.7 - -0.3. Let z = -1.4 + d. Which is the second biggest value? (a) z (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412208323117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44909 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 59\/2*((0 - 2) + 56). Suppose j = -8*j + f. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1252164822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -26. What is the third derivative of -14*m**4 + 28*m**4 - 16*m**4 - u*m**2 wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 + r**2)*(3*r**2 - 2*r**3 - 3*r**2) + 0*r**5 + r**5 - 4*r**5 - 2*r**5 - r**5 + r**5.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhz when four letters picked without replacement from zzzzzhzhz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -9)*(-2)\/2. Suppose 2*m - k*m = 20. Let j = 5 - 7. Put m, 2, j in increasing order.\nAnswer: m, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46065 and 6640.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*f = -66, -13*v + 50*f = 52*f - 215. Let d = -4 + 6. Which is the biggest value? (a) v (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 57, 86, 115?\n\"Answer: 29*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 426 = 8*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-54) - 2\/4. Let a(r) = r - 3. Let c be a(3). Let q be (-3)\/(-4) + (c - 1). What is the nearest to q in 1, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3700165 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*v - 20, -9*p = -4*p - 4*v - 79. Solve 41 - p = 5*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x\/x**(-8)))\/x))\/x*x*x*(x\/((x\/x**(4\/9))\/x*x*x))\/x*x)\/(x*x**0*x**(3\/4)) assuming x is positive.\nAnswer: x**(313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 29 - 9. Let p be 60\/(-80) - (k\/4 - 0). Suppose 0 = -2*v + 3*j + 31, -2*v + p*j - 14 = -44. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, -0.4, 1.8 in decreasing order.\nAnswer: 1.8, 0, -0.4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1351 divided by 7\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 231, -1.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4749632 and 27824.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -1, 5, -5 in descending order.\nAnswer: 5, 2\/21, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20000*i*r*y + 10*i*y + 71*i wrt r.\nAnswer: -20000*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6573 = -93*k + 955 - 2008 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 10) to base 9.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3879161 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 - 288231*g**2\/4 + 57157947*g\/4 - 2830773825\/4.\nAnswer: -3*(g - 99)**2*(g + 96275)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4042, -8165, -12360, -16663, -21110, -25737, -30580, -35675?\n\"Answer: -6*v**3 - 4081*v + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Suppose 3 = -c*f + 8, -4*o = 3*f - 7. Which is bigger: -4\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, -3, -1.\nAnswer: -4, -3, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 4*t - 16, 13 = 4*l - 0*t - 3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 511154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6846 and 272210?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 47*s + 5. Let o(t) = 3*t**2 + 70*t + 8. Let r = -5270 + 5262. Give r*i(g) + 5*o(g).\nAnswer: -g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbnnnbnbnn. What is prob of picking 3 b and 1 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62, 4723, 9384?\n\"Answer: 4661*q - 4599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864706360 rounded to the nearest 1000000?\nAnswer: 1865000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - j = -26, -19*u = -18*u - 5*j - 2. Solve 0 + 4 = -m - 2*t, u = 2*m - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z - 1. Let o(m) = -2*m**2 + 4*m + 4. Let p(n) = 4*l(n) + o(n). Let j(v) = -4*v. What is j(p(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (1 - 4) - -1. Let d(s) = 3*s**2 + 5 - 2*s**k + 0*s**2. Suppose -2*h + v = 4, 5*h - 2*h = -4*v + 16. What is d(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**2 - 4\/3*a**3 - 36 - 36*a.\nAnswer: -4*(a + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 14160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-13)\/((-4368)\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2043, -4098, -6153?\nAnswer: -8208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.4 - -1.7.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54000, 68214, 91910, 125094, 167772, 219950, 281634, 352830?\nAnswer: 433544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*h + 4*h - 7*h + (h + 0*h - 2*h)*(-2 + 3 + 2))*(5*h - 10 + 10) to g*h**2 + c + x*h and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3320 - -46451\/14. Let j be (2078\/(-5))\/(3\/(-45)). Let d = 62239\/10 - j. Calculate the common denominator of d and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*o = -23, 10*o = -4*f + 15*o - 31 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119)*3*-2 - sqrt(119))*6)\/(((sqrt(700) - (sqrt(700) + 3*-4*sqrt(700) + sqrt(700))) + sqrt(700))*-1).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 3991*n**8\/56 + 6*n**4 + 4*n**3\/3 + 280*n. Find the third derivative of m(l) wrt l.\nAnswer: 478920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l**4\/7 + 5615*l**3\/7 + 2249*l**2\/7 + 225*l\/7 = 0 for l.\nAnswer: -1\/5, 0, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i - 20. Let q be (-80)\/24*(-18)\/i. Suppose 46*v = 9*v - 85*v - 244. Put v, 0, q, 4 in increasing order.\nAnswer: v, 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from cobixyxi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467544?\nAnswer: 2, 13, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/48 and 71\/4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -3 + 3 + 5. Suppose -27 + h = 4*k. Sort -3, 1, k.\nAnswer: k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-2 - 1 - (510 - 460))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7 + 35. Let t = 6 + -5. Let y(p) = -6*p**2. Let b be y(t). Let w(o) = -o**2 - 6*o - 3. Let k(v) = v**2 + 7*v + 4. Calculate b*k(s) + j*w(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.887971736 + -0.0542\nAnswer: -1.942171736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2422.4 - 2422. Let f = 2 + -2.1. What is the biggest value in b, 0.3, f, -1.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -29*u**2 + 9*u. Suppose 24 = 50*m - 42*m. Suppose m*l = -15 + 42. Let g = -40 + 38. Let t(k) = -7*k**2 + 2*k. What is g*b(d) + l*t(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-34) + 79058\/287997\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 6969 + 1621. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 88 (c) 1\/2 (d) 1.8136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**7\/7 - t**5\/10 - t**3\/6 + 3*t**2\/2 + 17*t + 1. Find the second derivative of h(z) wrt z.\nAnswer: 120*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58587149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 33. Does 10 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10) - 940\/(-50). What are the prime factors of 13046\/h + (-22)\/(-99)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112002 + 1?\nAnswer: 112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 11.01, 1, 26, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1648449um in centimeters?\nAnswer: 0.00001648449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -138\/199 (b) 17\/4 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookomojjk. Give prob of sequence mj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70794.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**4\/6 + 23*k**3\/6 + 17*k**2. Let y be z(5). Differentiate 0*q**3 + 14 + 14*q**y + q**3 wrt q.\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i - 2 - 1\/2*i**2. Let l(b) = -4*b**2 + 2*b**2 + 7*b**2 + 4*b**2. Calculate l(m(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-1 - 2) + 2. Suppose -3*m = -l*m + 6. Let q = 5 + 49. Calculate the highest common divisor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4780 and 143639?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g + g**2)*(230 - 19*g + 240 - 469) to the form s*g**3 + a*g + k*g**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93989 micrograms in nanograms?\nAnswer: 939.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d**2 + 77. Let c(q) = 2*q**2 - 6. Let b(k) = 107 - 58 - 55 + 3*k**2. Let o(j) = 3*b(j) - 4*c(j). What is 6*g(a) - 77*o(a)?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98388*k = -2*t - 98392*k + 250, -5*k = 4*t - 311 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 160, 319, 478, 637, 796, 955?\n\"Answer: 159*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/3 + 14*n**3\/3 - 185*n**2\/3 - 66*n = 0.\nAnswer: -22, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*o + 89*o + 11 + 80*o.\nAnswer: 8*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 = -s + 4, 4*s = -4*l + 16. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:08 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2 + 0)*2. Suppose -p = -1, -15 = v*d - 2*p - 7. Suppose -10*g = 22 + 18. Is g smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*y, 3*j - 4*y = 2*j. Let l(i) = -i + 1. Let f be l(-6). Suppose j = -a + 10 + f. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104557?\nAnswer: 19, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015\/(-126) + 20 - (0 - 4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3 - 4\/(-6). Suppose 4*x - 9*x = 0. Let s = d + x. Let v(k) = 2*k + 2. Determine v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 59. Suppose x = 4*c - 196 - 572. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.92 + 8. Let d = 5.08 - z. What is the nearest to -0.1 in -0.3, d, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*v**3 + 4*v**2 + 32*v.\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1389*r + 713*r + r**2 - 11 + 715*r)*(4*r**2 - 4*r**2 + r**2).\nAnswer: r**4 + 39*r**3 - 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221650, -221646, -221636, -221620?\nAnswer: -221598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 2*d. Determine o(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 1792.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 15*g**3 - 5*g**2 + 15*g + 10.\nAnswer: -5*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 4) + (-2 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (312\/60)\/(3\/(-45)). Let q be (0 + 5\/(-3))*m\/65. Solve q*c + 5*b - 6 = 0, -3*c + b + 0 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2. Let g(m) be the first derivative of m**6\/360 + 4*m**3\/3 + 3. Let z(u) be the third derivative of g(u). Calculate v(z(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813101 divided by 51?\nAnswer: -35551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1300) + -4.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15*-1)\/((-32)\/(-560)*-126)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 + 913*z**2\/9 - 53698*z\/9 - 1431160\/9.\nAnswer: (z - 74)*(z + 20)*(z + 967)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d**4 + 1725*d**2 + 43348*d + 1?\nAnswer: 240*d**2 + 3450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30224, -60625, -91030, -121439, -151852, -182269, -212690?\n\"Answer: -2*x**2 - 30395*x + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*q + 5*q - 5*x, -2*q - 5*x + 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-3)\/12*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 424009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 42*n**2 - 390*n - 16. Let b be d(27). Solve -394*s + b*s + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.08. Let q = r - 0.06. Let g be ((-6)\/(-28))\/(3\/(-4)). Which is the nearest to g? (a) -2\/7 (b) q (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 - 45165*b**3 + 172423863*b**2 - 18251599347*b - 37193255514 = 0.\nAnswer: -2, 111, 7473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 200001?\nAnswer: -200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -15*r**5 - 558010*r**4 + 2976780*r**3 + 11161960*r**2 + 5952960*r = 0.\nAnswer: -37206, -2, -2\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 4, -7.8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12445 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1455, 2939, 4423, 5907, 7391, 8875?\nAnswer: 10359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16994 = 4*k + l, -28*k + 23*k = 3*l + 21239. Is -4248 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 21 + (-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyqn when four letters picked without replacement from {x: 5, h: 5, n: 1, y: 5, a: 3, q: 1}.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5827379 or -5827374?\nAnswer: -5827379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 + 12*s - 4. Let z(i) = -5*i**2 - 13*i + 4. Let j(l) = -6*y(l) - 5*z(l). Suppose 0*n = -4*n. Suppose n = -w - 0*w + 5. Determine j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 9588\/9557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let k(q) = q**2 + 13*q + 15. Let s be k(-12). Let r = p + s. Calculate the lowest common multiple of r and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose -w*a = a. Let q be -1*(-1 - 2) + (-1482)\/418. Is q <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 185 + 627. Let f = t - -205. Suppose 0 = -2*r + 10 + 2. Solve -2*g + 3 = 3*g - f*o, 2*g + r = -o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 181, 1\/5, -1\/4, -210?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:27 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 7, j: 6, b: 3, n: 1}. What is prob of picking 1 n, 1 h, and 2 s?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 16*s - 47. Let l = -129 + 110. Let x be m(l). Solve 4*u = -x - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1276\/3 or -426?\nAnswer: -1276\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 17 = -5*y, 2*y + 3*v = y + 7. Let i be 3 - (-1)\/((-2)\/y). What is the highest common divisor of 8 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*(21\/(-9) + 2). Suppose 7*c = 2*c + v + 16, 3*c - o*v = 14. Calculate the common denominator of 81\/2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + r**2 + 0*r**2 + (18 - 30 + 21)*(3*r - 3*r - 3*r**2) to o*r**2 + v + h*r and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 188478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29176455?\nAnswer: 3, 5, 7, 11, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 709 - 1409\/2. Suppose -1 + 7 = -3*i, -3*i + 30 = -3*w. Let r = -18 - w. Calculate the common denominator of n and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + 7280002\/7. Round q to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14749255 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 2, j: 3, o: 4, v: 1, x: 3}. What is prob of sequence gox?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 50 = -3*o - 22, -2*o - 40 = 4*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -815 + 802. Let d(p) = 9*p**2 - 19*p - 43. What is the units digit of d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 - sqrt(22)\/sqrt(99))*3.\nAnswer: 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/818 + 559\/4908. Let a(g) be the second derivative of 0 + 0*g**2 - r*g**4 - 27*g + 0*g**3. Let y(u) = 4*u**2. Calculate a(y(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 606*l**3 - 19409*l + 19409*l + (0*l + 2*l - 4*l)*(-l**2 + 3*l**2 - l**2) to t*l**3 + c*l**2 + i + b*l and give t.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/160 and -91\/550.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1258.353.\nAnswer: 6291.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 60\/27)*-9. Suppose k*j = -2, -2*j = -4*d - 6 + 16. Solve -3 = -5*p - d*q, 2 - 18 = -4*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19 = -15. Sort 3, y, -1.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Suppose 4*d + 5*j + 95 = 346, -5*d + j + 350 = 0. Let z be (1 - d\/6)*f. Solve -4*o - z = -x, -4*x + 23 = -x - 2*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56851279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1800, 1658, 1296, 612, -496?\nAnswer: -2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/((-1)\/44*-6). Suppose -4*g = -3*g. Suppose 6*n - n - o = g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 + 2)) + -5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(3\/11)*c*c**(5\/4) assuming c is positive.\nAnswer: c**(155\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -6*p + 0*p**2 + 2\/3*p**3 - 1\/5*p**5 + 0 + 0*p**4. Find x such that a(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48690640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 151 = -157. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*2*(-8)\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 2 + 164)*(3 - 118049). Let f = -5623452 - a. Round f to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 2*u - 1. Let t be b(-1). Suppose 0 = 3*g - 2*g + t*x - 43, 2*g = -2*x + 78. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(70)\/sqrt(700)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 51?\nAnswer: -28\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -1\/41 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-184)\/(-18) + 2\/(-9). Suppose 525*v = 530*v - 135. Solve 5*s - 3*r = -b, -3*s + s + v = 5*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:41 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 3*s)*(-s**2 + 3000 + 2984 - 6264).\nAnswer: -3*s**3 - 840*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 3. Let o = -511 - -510.7. What is the third smallest value in o, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07222237 * -4.\nAnswer: -0.28888948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43838 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 10. Determine y(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6*a - 3 + 48 - 141 = 0, 0 = -3*n - 2*a - 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89459 + 2.\nAnswer: 1.10541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4d33a10?\nAnswer: 4d33a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s - 4 + 5 - 15*s + 38*s + 4732*s**2.\nAnswer: 4732*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**49*(g**2)**(-2\/35) assuming g is positive.\nAnswer: g**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/5*b**5 + 328\/5*b + 72\/5 + 378\/5*b**4 - 90*b**2 - 70*b**3 = 0. Calculate b.\nAnswer: -18, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*l - 16 + 16)*(l + l**2 - l) - 3*l**3 + l**3 + 4*l**3)*(3*l - 2*l - 2*l).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, -0.2, 2\/11, 1 in descending order.\nAnswer: 1, 2\/11, -0.2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123132203 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284915 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 171278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642523 is divided by 770.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -135.7019 from 565.\nAnswer: 700.7019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-9))\/(26\/(-39)). Let m(p) = -p**3 + 9*p**2 - 17*p + 18. Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23032 + -113?\nAnswer: -23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**4 + 64*q**2 + 30*q - 235250?\nAnswer: -12*q**3 + 128*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379 = 328*g - 217*g - 308*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 - 13.77. Let v = 9 + z. Which is smaller: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -280000*a**2. Let i be (-4)\/(-14) - (-12)\/7. Let d be i\/(4\/(-10)*1). Let z be u(d). What is z rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, and 1 o when three letters picked without replacement from owwoooweooejwwe?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z**2 - 40*z**2 + 4*z**2 to the form v*z + n + p*z**2 and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/17 - 182652*j\/17 - 1095840\/17.\nAnswer: -2*(j + 6)*(j + 91320)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - 2*f**2)*(0 + 0 - f)*(0*f + 9*f - 5*f).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x, 3*s = -x - 4*x. Let j(c) = s*c + 0*c + 2*c + c. Let m(y) be the second derivative of -y**4\/12 + 3*y. What is j(m(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 22\/3*w**3 - 1\/2*w**2 - 5 - 3*w. Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*2*-3. Let z be (-30)\/(-4) + (-1)\/s. What is the tens digit of 3\/(z\/(-8)*2\/(-82))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84601274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggksgkggsksskss. Give prob of sequence sgk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n + 7. Let u be ((-8)\/10)\/(1\/5). Let k = u - -6. Let q be (4\/(-8))\/(k\/(-28)). Let s(x) = 2*x + 2. Calculate q*s(y) - 2*g(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71983, 71981, 71979, 71977?\n\"Answer: -2*r + 71985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*c + 73315 - 966429. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1152567 and 32\/447.\nAnswer: 171732483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:52 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - -2. What is the tens digit of 120\/m*(3 + -1 + 26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 145c4 - -203?\nAnswer: 147c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1155 (c) 3\/4 (d) -12 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13333, -13287, -13211, -13105, -12969, -12803?\nAnswer: -12607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 + 76 = j, 4*s + 308 = 4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -0*i - 4*i - 8, 5*i = -u + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -71 + -17 + 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*-12 - (50 + -71)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuun when four letters picked without replacement from {t: 1, u: 5, a: 3, n: 3}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*(-184)\/(-115).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 104, 148?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 + 23075?\nAnswer: 23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5 = -l. Let z = l + 0. Calculate the greatest common divisor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 14*b - 42. Let z be h(-5). Suppose -5*o + 22999995 = 5*g, 0 = -z*g + 4 - 7. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7851 or 1?\nAnswer: -2\/7851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339335 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -463, -941, -1433, -1945, -2483, -3053?\n\"Answer: -k**3 - k**2 - 468*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 656782222+0.2\nAnswer: 656782222.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 563 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, k: 2, y: 1, m: 1}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -780106780*a*p**3 + 19*a*p**2 + 54*a*p - 3*a - p**2 + 392*p wrt p?\nAnswer: -4680640680*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*l - 6 = 0, 0 = c - 0*c + 5*l - 34. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -3*u**2 + 5\/6*u**3 - 1\/4*u**4 + 0*u + 0. Let x(z) = -13*z + 11. Give -9*i(l) + 4*x(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/4 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -731.\nAnswer: 20\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-1104)\/36. Is (10\/h)\/((-1)\/393) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*y - y + 16 = 0, 2*m - 2*y - 16 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvlllvvlllv. What is prob of picking 1 l and 1 v?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 136*q - 318 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from dkkddkkdkkkbd.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001010110110100100 - 0?\nAnswer: 101000001010110110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from esssesseess.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2724580 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(117) + 2 - sqrt(117))) - (sqrt(117) + 3 + (1 + sqrt(117) - sqrt(117)) + -2*sqrt(117)*-2))**2 + 5.\nAnswer: -960*sqrt(13) + 3954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 5*a + 2*a**3 - a**2 - 2 + 0*a**2 + 3*a**4 in the form c*a**4 + b*a**2 + g*a + v + h*a**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*g**3*s**4 + 2946*g**3 - 106*g*s**4 wrt s.\nAnswer: -64*g**3*s**3 - 424*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 7*w**2 + 12*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230474878 divided by -115237439.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 2*h**2 - 4*h**2)*(1043 - 1043 - 17*h).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -36*w - 1. Let o(p) = 34*p. Determine -3*g(f) - 4*o(f).\nAnswer: -28*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 1\/(-9). Let u be 22\/11*(-2)\/6. Which is the closest to v? (a) -0.5 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3481 + 186*p**3 - 3481 + 17*p - 9*p**3 - 17*p + 0*p**2 - 2*p**3 + 0*p**2 + (-4*p**2 + 3*p**2 + 3*p**2)*(3*p + 0*p - 4*p).\nAnswer: 173*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*h - 388 - 656 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88607701?\nAnswer: 7, 13, 67, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/4 - 10*m**3\/3 + 6*m**2 - 25*m. What is the remainder when 83 is divided by c(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -353.6 - -354. Let k = -6.83 + 0.63. Let j = -1.2 - k. Sort j, a, -0.2, 0.2.\nAnswer: -0.2, 0.2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380398736?\nAnswer: 2, 23774921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -31\/6*c**2 - 1\/3*c**3 - 28\/3 - 127\/6*c = 0?\nAnswer: -8, -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34040946*d**3 - 64483316*d wrt d?\nAnswer: 204245676*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1aa?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-6)\/(-8) + (-8)\/(-1). Suppose -s + p*s = -3*z + 19527, s = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 16 = -2*d, -20*d - 4 = -16*d + t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108705483.\nAnswer: 3, 149, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 931541\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47273 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3657*b + 29277. Give j(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15525 divided by 225\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:16 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.42 + 0.72. Let i = -7 - f. Which is the smallest value? (a) 0.1 (b) i (c) 0.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20731?\nAnswer: 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*j = -25, 2*j + 10 = 4*g - 20. Let y = 1.1 + -14.1. Let r = y - -12.9. What is the biggest value in g, 0, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**3 + 2*l**2 + 29*l + 14. Let i(u) = -2*u - 3. Calculate -6*i(q) - j(q).\nAnswer: -10*q**3 - 2*q**2 - 17*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1677 - 654 - 109)*(4*q - q - q + (-2 - 1 + 5)*(0*q - 2*q + 6*q))*(-4*q**3 + 5*q**3 - 2*q**3).\nAnswer: 24400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-386)\/965*(-1)\/42*5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**2)\/j*j*j*j**(3\/2)*j*j*j*(j\/(j*j**(-2\/9)*j))\/j**8)**(7\/5) assuming j is positive.\nAnswer: j**(-539\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n + 1444 = -132*n - 2976 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 1320 = -51*c - 57*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2. Let j = -48 + 28. Let z = j - -14. Let f(p) = p**2 - p - 1. Let s(y) = -3*y**2 + 6*y + 6. Let w(g) = z*f(g) - s(g). Determine w(k(i)).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 23843 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/(a*a*a\/(a\/((a\/(a**4\/a))\/a))*a))\/a*a)*a**3\/a)**(2\/23) assuming a is positive.\nAnswer: a**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 73*t + 50. Give c(6).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (3 + -3 + 3 + -3). Solve -3*o = -p*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7\/3))\/(y*(y**42\/y*y)\/y) assuming y is positive.\nAnswer: y**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -49*t. Let f(o) be the third derivative of o**6\/360 - 23*o**3\/3 - 100*o**2 - 2. Let z(l) be the first derivative of f(l). What is d(z(u))?\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-1*(0 + 1). Let s(t) = -t**2 - 3*t - 2. Let j be s(-4). Let k = h - j. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-1 - (-2)\/(-4)). Suppose -o = -2*d - 3*d. Suppose -d*c = 4*z - 6, c + 12 = 2*z + 5*c. Which is smaller: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and (-500)\/234*(-48)\/64?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 7. Let x be (20\/(-16))\/((-3)\/s). Is (-254)\/(-4) + x\/(-10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111331 (base 4) in base 10?\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -6. Let h(m) = 10*m**2 + m**3 + 22*m**2 + m - 29*m**2. What is the smallest common multiple of p and h(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1604 + 1604.1727. Round o to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135, 133, 131, 129?\n\"Answer: -2*g + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*u**2 + 152*u**2 + 87*u**2 in the form a + t*u**2 + o*u and give t.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, -1\/2, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 1156*i**2 - 24184*i + 833184.\nAnswer: -4*(i - 18)*(i + 44)*(i + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(13\/3)*l\/(l*l**(-2\/37)) assuming l is positive.\nAnswer: l**(487\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4388 = -2465*y + 2469*y. Are y and -5484\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.5068m in centimeters?\nAnswer: 56150.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - (4 - 12))\/(-1 - 0). Factor -34\/5*v - 6*v**y - 4\/5.\nAnswer: -2*(v + 1)*(15*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + s - 10 = 0, 37*s = -o + 38*s + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.06 (b) 1\/3 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bee8b (base 15) in base 11?\nAnswer: -2539002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 >= 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0298737 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*c**4 + c**2 - 6 wrt c.\nAnswer: 1488*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 14*y**2 - 11*y - 7. Determine a(-14).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15021 - 943 = -4*h, 2*h = 3*u + 7966. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -160. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - d**3 + 10 - 3*d**3 - 11*d.\nAnswer: -4*d**3 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000000 + 101100011110?\nAnswer: 111011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 9 + (-8 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34435289 to the power of 1\/2, to the nearest integer?\nAnswer: 5868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 51 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/98 and 79\/112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c6594 (base 16) in base 4?\nAnswer: 3012112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - (sqrt(931) - -2*sqrt(931))) + sqrt(931))**2 - sqrt(931)) + sqrt(931) - sqrt(114)\/(sqrt(6)*1).\nAnswer: -sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1784 and -9\/31220.\nAnswer: 62440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 3*o + 3*g = -17, -3*o + 4*g = -18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + 10*m - 5*m**2 - 9*m + 1 - 5*m**3. Let t be j(-5). Calculate the remainder when 58 is divided by (-30)\/(-1)*t\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 0, -3, -2, 13, -436?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, -613, -0.31?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 4.04. Let g = 0 + z. Let q = 2\/129 - 92\/387. What is the nearest to 2 in 0.1, q, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - 98. Suppose v*p - 198 = -p - 5*r, 0 = -5*r. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t + 0*t - 30*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 134042221 (base 5) to base 3\nAnswer: 1022001221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 3. What is the remainder when (-27)\/(-45) + 7777\/55 is divided by j(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*b + 577 = -458*b. Let k = 769 + b. List the prime factors of k.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose -6 = -f - z*f + 5*t, -2 = f + 3*t. Which is the nearest to -2\/5? (a) f (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -105. Let d = -439 + 401.944. Let l = a + d. What is l rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -1.1 (c) -188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 536\/51 - 605059\/57579. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3767, -5846, -8089, -10496, -13067, -15802?\nAnswer: -18701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 3 + 0)\/(-2)*-1. Suppose -w - 2*a + 159 = v, 2*a - 315 + 1110 = 5*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -407, 4, 17 in descending order.\nAnswer: 17, 4, 2, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 8*t - 3*t + 360, -5*b - 305 = 4*t. Let f = t - -88. Let l be ((-24)\/f)\/(2\/6). Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2335528 and 2335528?\nAnswer: 2335528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5780 and 169\/630.\nAnswer: 364140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4221 (base 9) to base 16\nAnswer: -c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = 5*k + 15*k. Calculate the greatest common divisor of k and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:24 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19*y**2 - 110*y + 12. What is m(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 5*h**4 + 2*h**4 + (4*h**2 + 0*h**2 + h**2)*(2 - 2 + 2*h**2) - 2*h**4 + 4 + h**2 - h**2.\nAnswer: 14*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -353*((-54)\/4 + 13\/(-26))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/7)\/(r\/(r**(2\/69)\/r))*r**(-16)*r*r*r\/(r\/(r*r**16)*r) assuming r is positive.\nAnswer: r**(-193\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 420*q**2 + 4. Let u(z) = 8965*z**2. Give b(u(o)).\nAnswer: 33755914500*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6798.24 and -3.\nAnswer: 20394.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*f = 9, -13 = -5*h - 3*f + 4. Let a(g) = -g**2 - 3*g + 27. Calculate a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -111999*s - 5. Let l = -5 - -10. Let p be x(l). Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 13*x**2 + 2*x + 6. Let k be f(13). Solve 4*g = -4*o + g - k, 5*g + 10 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**4\/8 + 2*o**3\/3 + 2*o**2. Let k(g) = 6*g + 8. Let t(z) = -5*i(z) + 2*k(z). Differentiate t(j) with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. What is the smallest value in t, 1, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(384)*2 - sqrt(6) - sqrt(6)))\/(sqrt(36)\/(sqrt(12)\/sqrt(2)) + sqrt(66)\/(sqrt(11)*-2)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10) - 23504\/20340\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(25\/(-6)))\/(10480\/(-13100))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -18*i - 2*i. Let r = -347 + 464. What is the remainder when r is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/20*2*2. Let v be (31 - g) + (-1 - 2). Let f(r) = -r**2 - 7*r - 2. Let k be f(-3). Calculate the greatest common factor of v and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 1\/30*y**6 + 0 + 1\/10*y**5 + 6*y + 0*y**2 - 1\/3*y**3 - 1\/12*y**4. Find b such that n(b) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 - 207 + 314 = 26*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -13*t**4\/12 + 3*t. Let y(d) = -4*d. Let z(c) = c. Let s(w) = 2*y(w) + 9*z(w). What is p(s(l))?\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8485 times 6?\nAnswer: -50910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i**(2\/9))\/(i*i\/i**(2\/19)*i\/(i*i**(4\/3)))*((i\/i**(-5))\/(i**(2\/7)*i))**28 assuming i is positive.\nAnswer: i**(21830\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -255, -896, -2099, -4044?\nAnswer: -6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-6))\/((-51)\/68). Which is the third biggest value? (a) 202 (b) p (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 32\/20)*15. Solve -u*r + 2*r + 7 = -3*i, 0 = -4*r + 5*i + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 18063350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 40*n - 38*n + 28 = 0, -4*p - 38 - 8 = 2*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lepsslsessesjepeese. Give prob of sequence pee.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v + 2*q - 7*q, 5*q = -10. What is the closest to v in -3, -2\/9, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -7621?\nAnswer: 7626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f\/(f\/(f*f\/((f*f**(4\/17))\/f)*f)*f)*(f*f**(-4\/13))\/(f*f*(f**(-4)*f)\/f) assuming f is positive.\nAnswer: f**(2974\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 84, 83, 94, 123?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 18*q + 8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.985 - -12.785. What is the second smallest value in 807.5, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 7*y + 7. Let d be (12\/(-21))\/(-5 - 216\/(-42)). Determine x(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v**2 - 39*v + 27. What is the thousands digit of i(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 3) + (-62)\/((-9300)\/(-4050)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472178611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369 - -1031. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-943*x + 133*x**2 - 936*x + 1877*x)*((5*x - 2*x - 2*x)*(-1 + 0 - 2) + 3*x - 2*x - 3*x) as c*x + a + p*x**2 + m*x**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401, 2\/11, 665\/9 in ascending order.\nAnswer: 2\/11, 665\/9, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let y = i + 9.5. What is y rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 24*o + 4. What is the remainder when m(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6105789 is divided by 1221149?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-20\/3)*n*n)*n**(-6\/13) assuming n is positive.\nAnswer: n**(-356\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-25)*(-825)\/264*(12\/10)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4616 in increasing order.\nAnswer: -5, 3, 4616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 136025825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)\/n*(n\/(n\/((n**(-2\/21)*n)\/n)))\/n*(n*n\/(n*n\/(n*n*(n**17\/n)\/n)))**(4\/15) assuming n is positive.\nAnswer: n**(-794\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 171 = 5*i, -2*o + 167 = -30*i + 35*i. What is the remainder when i is divided by 0 + 0 + 26\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 778379 divided by -1.\nAnswer: -778379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51167 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.48 - 0.02. Let q = -1.96 - h. Round q to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 8. Let m be y(8). Suppose m*g = -3*g + 267. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 13*c - 10. Let x be j(-6). Let g be -144 - (15\/x + 1\/(-4)). Let s = g - -457. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6376.493ml to litres.\nAnswer: 6.376493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/60 + k**4\/24 + k**3 - 17*k**2. Factor d(q).\nAnswer: -(q - 3)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*v - 41. Let h = 22 + v. What is the units digit of h + -3 + 0 - -50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 225. Let u be (-710)\/4*(-10)\/25. Let z = u - n. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*b - 65, -3*t + 16*b - 6*b = -14*b + 11*b - 169 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*k + 13*k - 18*k + (591 - 3*k - 591)*(2 - 1 + 0)*(0 + 1 + 0) to the form x + f*k and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 7*l + 6. Let m be h(6). Suppose -f = -0*f - m. Let y(u) = u**3 + 7*u**2 - 10*u + 4. Calculate the lowest common multiple of f and y(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1057011931 rounded to 4 decimal places?\nAnswer: -0.1057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*u - u + 1, -u + s = -3. Calculate the smallest common multiple of (-3)\/u - ((1 - 26) + -4) and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 11 = 3*f, -4*s - 4 = -0*s - 4*f. Let y = s - -24. Suppose 480 = v + 2*v. What is the highest common factor of v and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Let m be 116\/638 - ((-688)\/88 - (-3 + 0)). Is m > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218\/427 or 2?\nAnswer: 218\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1392*h**2 - 102*h - 3142. Is i(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.232715 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1990994 or -1990995?\nAnswer: -1990994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 35. What is the smallest common multiple of 2 and j\/6*-6 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r + 3*p - 48, 4*p = -3*r + 175. Suppose n - a = 14, n + 0*a - 13 = 2*a. Calculate the remainder when r is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757430 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (375 + (2 - 3 - -1)). Let v be (y\/(-30))\/(1\/(-5)). Let w = -41 - v. Calculate the remainder when 38 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 5296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34898 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.3931 centuries in millennia?\nAnswer: 6.03931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 775.5 * 12\nAnswer: 9306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4834520552 to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12 + 6*f + 20*f**2 - 8*f**2 - 10*f**2 - f + 4. Give n(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2204 (base 7) to base 12.\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*c - 144*c - 42*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*z + 2*l, 5*z + l - 122 = -0*z. Calculate the greatest common divisor of z and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 38*u**2 - 35*u + 114. What is r(3)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 22. Sort 11, 1, w in decreasing order.\nAnswer: 11, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*v - 249, 352 = 4*i + 2*v + 78. Let w = 21 + i. Let j = w - 50. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 4*g - 8. Let w be f(6). Suppose -2*k + 2*d = -4*k + 3110, -1561 = -k - w*d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, -172, -124, -58, 26, 128, 248?\n\"Answer: 9*q**2 + 3*q - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 35 = -3*g - y, 5*y - 1 = 4*g. Suppose 2*q + 56 = g*q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 8 - 2 - j**3 + (-j + 4*j + 2*j)*(24*j + 32*j**2 - 24*j).\nAnswer: 155*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5829081*i*r - 12171127*i wrt r?\nAnswer: 5829081*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9))**(-9))**22 assuming k is positive.\nAnswer: k**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.088 to 0 dps.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1250 + -16155903.\nAnswer: -16157153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/7 - 1062*u**2\/7 + 106888*u\/7 + 218040\/7 = 0.\nAnswer: -2, 138, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 4*l**2 + 4*l + 3. Let j(t) = -t**3 - 3*t**2 - t. Let a = 0 + 4. Suppose -a = -4*v + 6*v. Let d be j(v). Calculate f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - 4*x**4 + 108*x + 2*x**3 - 110*x in the form q + i*x**3 + d*x**4 + h*x + y*x**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273462?\nAnswer: 2, 2136731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*s**3 + 25074*s - 30*s**3 - 41*s**3 - 25074*s.\nAnswer: -156*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**34)**(4\/3)\/(v**(-28)*v\/((v*v*v**27*v)\/v)*v) assuming v is positive.\nAnswer: v**(305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 7*i - 1. Let l(y) = -17*y**2 + 29*y - 5. Let g(v) = -2*l(v) + 9*z(v). Let j(k) = -3*k**2 + 6*k + 1. Give -6*g(x) + 5*j(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.25 * 12.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 202?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -78, -111, -150, -201, -270, -363?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25856?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -36*(2 - 3) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 4152573162 - 4152573162.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*l + 4*c, -2*l + 13*c = 14*c + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-21))\/((-246)\/(-19803))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1280*c**4 - 3081?\nAnswer: -5120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097 + 0.419. Let q = w - 0.3013. Let f = q - 0.009. Round f to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 0, 4, 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u\/u**(-1\/3)*(u*(u**(1\/6)*u)\/u)\/(u*u**(-4)\/u) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -3 (c) 54 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**5)\/a*a*a*a))**(-1\/30)\/((a*a**4)\/a)**(-49) assuming a is positive.\nAnswer: a**(5887\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5714*r + 28610. Determine z(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {v: 2, x: 1, h: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4*(-5 - -1). Let j = -9 + 8. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 23*v + 4*v)*(3*v**4 - 2*v**4 + 0*v**4) + v**4 - v**4 + 2*v**5.\nAnswer: 37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c - 2*c**2 + 2 - c**2 + 4*c**2. Let p be l(0). Let g(v) = -2*v**2 + 3*v. Calculate g(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -5)*2\/2. Suppose m*s = 2*k + 3, 4*s - 3*k = 3*s - 6. Solve 2 = -b - u - 1, -5*b - u = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 12) + -7 + 2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2. Let b(j) = 5027109*j**2. Determine i(b(w)).\nAnswer: -75815474693643*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {g: 5, o: 1, l: 2, i: 4, w: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12603 + -5147. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143268560 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 11, s: 2}. What is prob of picking 1 p and 1 a?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:19 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 62*l - 123. Give m(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from ouuouoroouoooo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3798 divide 185526919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -4, 0, 1\/9, -3.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/184365438 and 107\/18.\nAnswer: 553096314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 3*j**4 + 0*j**4 + j**4 + (2 - 2*j**3 - 2)*(12*j - 2*j - 2*j) to the form n*j**3 + m*j**4 + y*j + x + s*j**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*l = 11*l + 16*l. Solve -97*q + 23*q - 296 = l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 3. Let z be f(7). Let s = -2 - z. Suppose -s*m + 11499980 = -5*u - 6*m, -2*u = 3*m + 4599985. Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*f**4 + 32 - 19*f**4 + 23*f**4 with respect to f.\nAnswer: 164*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 21*r + 46*r + 5*r as m*r + h and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/15)\/(9\/(-30)). What is the third smallest value in 2\/7, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219446242 is divided by 144849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-75*l**3 + 74*l**3 + 17 - 16 - 190*l**2).\nAnswer: -3*l**3 - 570*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.277 - 6.277. What is the second smallest value in n, 12, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*p + 22 = -500*p + 4*w, -2*w = 5*p + 44 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5. Let i = f - -3. Suppose -88 = i*k - 244. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:14 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 18 = -2*i - 3*i, 3*i = 4*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.085933195643 and -0.234?\nAnswer: 0.319933195643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0382 - -0.2717. Round p to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*c - 2 = 0, -2*c - 16 = 2*k + 3*c. Let g(a) = 3*a. Calculate the remainder when (-528)\/(-54) - k\/(-9) is divided by g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.6 + 8. Let n be (12\/(-36))\/(2\/22). Let m = n - -4. Which is the nearest to 1? (a) m (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-125)\/7 - (-2)\/(-14). Suppose b - 18 = -b. What is the units digit of 4\/v - (-326)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**2 - 11 + 3 + 0 with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -87.3. Let o = t + -4. Sort 1\/4, o, 0 in descending order.\nAnswer: 1\/4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 17940?\nAnswer: 376740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10329 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -53*q**2\/2 + 2*q + 4. What are the prime factors of m(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 303093.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 147, -2, 7\/32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*238\/4. Let r = j - 20. Let q = -1\/3 + r. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let j = 0.3 - h. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*b**3 + 728*b**3 - 373*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -5. Let d be 13 - -1*(-2 + -1). Let c = 10 - d. Sort 4, c, z in decreasing order.\nAnswer: 4, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1458*f**3 + 268 - 232*f**3 + 748*f**3 - 1861*f**3 + 1662 wrt f.\nAnswer: -8409*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -2\/39 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3303401 - -30757.1.\nAnswer: 3334158.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5924.7, 10, -2\/5, 2\/17, -2.\nAnswer: -2, -2\/5, 2\/17, 10, 5924.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*u + 24 + 5, -2 = 2*a - 2*u. Suppose s + 5 = 4*s + 4*d, 2*s = a*d + 10. Suppose y - 22 = -5*r, -2*y - 3*r + 22 = 3*y. Is s smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 4*l**3 + 4*l**3 + (-2*l + 4*l - 3*l)*(-l**2 + 2*l**2 + l**2) + 2*l**3 - 4*l**3 + l**3 + 100*l - 100*l - 12*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose -2*z - 2*d = -p - 2, -4*z + d = -18. Suppose 0 = -0*f - f + z. Solve 5*q + f = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*h + 13 - 13)*(114 - 33 + 46) in the form j + f*h and give f.\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15944 and 22406?\nAnswer: 357241264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*m + 304, 2*m + 16 = -2*m. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 1:58 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 986148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 198?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/123 - -133\/615. Let y(o) be the second derivative of 0 + c*o**2 + 1\/50*o**5 + 3*o + 1\/5*o**3 + 1\/10*o**4. Factor y(f).\nAnswer: 2*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 3*j - 2*j**3 + j**2 + j**3 - 3*j to y + l*j**2 + n*j + b*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 - 27*r**2 - 37*r**2 - 10285*r + 10285*r.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1751, 7832, 17981, 32210, 50531, 72956, 99497?\n\"Answer: 2*d**3 + 2022*d**2 + d - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2. Let w(c) = 85309*c. What is s(w(m))?\nAnswer: 21832876443*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226854\/72 - (-3)\/12.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - -3 - -5 - -27. Does 2 divide u - (-14)\/7*(3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s**2)*(-3 - 1 + 2) - 2*s + 2*s + 2*s**2 + (168*s + 172*s - 107 - 362*s)*(0 - s + 0).\nAnswer: 20*s**2 + 107*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**6\/g)\/g*g)\/g*g**(2\/29)*g**(-1)\/(g**(-8)*g) assuming g is positive.\nAnswer: g**(350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 + -934\/3. Is 0 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -2*d - 99, 0 = -3*d + 9. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 11*j**2 + 7*j - 25. Let l(a) = a**3 + 5*a**2 - 4*a + 13. Let q(x) = 6*c(x) + 13*l(x). Calculate the remainder when q(3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/14 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 32\/20. Solve 2*k + 9 = -c, 0 = 3*k - 5*k + j*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j**2 - 146*j - 14. Let s be l(-9). What is u in -2\/15*u**5 - 4\/15*u**s + 0 + 0*u**2 + 0*u**3 + 0*u = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 826 - t**3 - 2*t - 826 + (3 - 3 - 2*t)*(3*t**2 + 0*t**2 - t**2) to the form f + h*t**3 + d*t**2 + q*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 21 + 4 = 0. Suppose 0*g = -w*g. Find the third derivative of -6*y**4 + g*y**2 + 2*y**2 + 9*y**2 - 4*y**4 wrt y.\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 1 (b) -2 (c) 7 (d) 2\/57 (e) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:58 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from {t: 5, i: 14}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/9 + 310457*a**2\/9 - 931378*a\/9 + 620920\/9 = 0.\nAnswer: -310460, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from lollllllollllol.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 2*o**2 + 70*o**4 + 2*o**3 + 2 + 4*o - 68*o**4 in the form t*o**4 + j*o**2 + f*o**3 + p*o + k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589679.\nAnswer: 3, 7, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104774 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 805 - 805.9. Which is the nearest to 0? (a) i (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/3248 and -69\/392?\nAnswer: 22736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u + 6298 - 1401 + 641 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 359\/5744*(1 + 3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 11. Solve -3 = -2*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -14. What is the nearest to -0.1 in 7, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 47*f = t + 74, -2*t - 224 = -3*f. Solve -6*w - 64 = -f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 331 (b) -0.3 (c) 2\/3 (d) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*r = 20, g - 25 = -4*g + 5*r. Let a be (-1)\/((-1)\/2) - g. Let k(i) = i + 12. Calculate k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 144 in 0.5, 3\/2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803231748.\nAnswer: 2, 43, 16297859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31066 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, o: 5, z: 2, u: 2}. What is prob of picking 1 z and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577144758?\nAnswer: 2, 3, 1381, 69653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.8 (b) 301 (c) 3 (d) -9\/139 (e) -1\/5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-3 + -31 - (-174 - -31))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose 8*j - 4*j = -v*u + 32, 4*j - 16 = -u. Find a, given that -a**2 - j + 4 + 2*a - 2*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(8\/35).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -8) + 33 + 8 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 + 4*c - 2. Give x(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/3)*z*z)**(-5\/9))**(-2\/5))**(3\/16) assuming z is positive.\nAnswer: z**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 301 - 327 + i)*(-10 - 2 - 6)*(3*i - 4*i + 0*i).\nAnswer: 36*i**2 - 468*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 253196 and -47.\nAnswer: -11900212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32298 - -58087. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 3. Let c be n(6). Let t = 14 - c. Solve t + 1 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*j - j + 19 = 0, 0 = b + 2*j - 11. Suppose -d = -b*d + 36. Solve -2*v - 2*h = -6*h + 14, 2*v = 3*h - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + o = -16, -2*n = o - 6*o. Solve 0*v - n = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*b + 1 + (-2*b - 2 + 2)*(-3 + 5 + 0) - 13 + 11*b + 13)*(-1 + 5 + 5) to the form g*b + j and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(7980\/(-45))*(-12)\/9.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -2.52 (c) 0.35 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from oaommmammmm.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/6 + 3267\/594?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340 + 52. Let b = 288 + o. Is b at least as big as 2\/787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134719522 rounded to 4 dps?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 = -3, -m + 110 = -5*i. Let v be (-128)\/(-3) - (-38)\/(-57). Calculate the greatest common factor of m and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) 0 (b) 5 (c) -1\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8847*l*p**3*r**3 + 30396*l*p**3 - 46*l*p**2*r**3 + 47*l*r - 1795*p*r wrt p?\nAnswer: -53082*l*r**3 + 182376*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 10, x: 5, h: 2, j: 2}. What is prob of sequence hojx?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -378, -824, -1448?\nAnswer: -2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5))**(4\/5)*b*b*((b*b**(-8)*b)\/b)\/b*b\/b**1*b)\/((b**(-6)*b**(3\/5))\/(b*b*b**2*b)**(-3\/34)) assuming b is positive.\nAnswer: b**(-171\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 - 8*r**2 + 19*r - 2. What is the units digit of l(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 16*b + 67*b. Is b bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3)*288\/(-60). Is g\/(-104) - (-750)\/26 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 45*l = -3*o - 17, 4*l + 13 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 2. Suppose -2*s = y - o + 3, s - 2 = -2*y. Suppose -2*u + 7 = w - s*u, -11 = -w + 4*u. What is the greatest common factor of 12 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -18.8. Put o, 0.03, 0.4 in increasing order.\nAnswer: o, 0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 11*m + 11. Let o be p(-6). Suppose -3*b - o*w + 3065 = 0, -9*w = 4*b - 4*w - 4090. Suppose 0 = -d + 452 + b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {v: 1, t: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 24*s**2 + 4*s + 8. Let h(m) = -70*m**2 - 11*m - 22. Give -3*h(f) - 8*z(f).\nAnswer: 18*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 + -36)\/(8\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 99753*o**2 + 2612*o + 2613. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -2222000?\nAnswer: 2221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f**3 + 6*f**3 - 87*f**3 + 26*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149111, -149102, -149093, -149084, -149075, -149066?\nAnswer: -149057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-9*(-2)\/(-147)*(-168)\/6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 521 - 520.6. Suppose -3*r = -4*d - 0*r + 35, 27 = 4*d + 5*r. Which is the closest to -1? (a) h (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let r be ((-6)\/4 - -2)\/((-7)\/(-42)). Solve -21 = -r*q - d*a, -30 = -5*q - 5*a - 0*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-128)\/(-144)*15\/(-2). Let f = 42 - y. What is the smallest common multiple of 44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24124.\nAnswer: 2, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j**(-2\/9)\/j)\/j*j)**(-1\/8)*(j**(-5)\/j)\/(j**(5\/7)\/j) assuming j is positive.\nAnswer: j**(-2929\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/(w*w\/(w*w*w\/(w**0*w)*w))*((w\/w**(-1))\/w*w*w)**(-18))**(-10) assuming w is positive.\nAnswer: w**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 45. Let q be r(-25). Suppose -4*v = 2*t + 11 - 21, q*t - 25 = 4*v. Solve s + 2*s + 5*n = 29, 5*s - 35 = -t*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3\/3 - 28*m**2 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 20 + i - i**4 - 26 + 2*i**3 to the form q*i + s*i**4 + g + d*i**2 + t*i**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1328664 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-915)\/(-6)*(-55)\/((-18700)\/136)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 4*t - 368. Let q be (6 + -6)*1\/2. Suppose q = -2*n + 4*h + h, 3*n - 4*h = 0. Solve 2*p - 6*v + 3*v + 5 = 0, 5*p + 3*v + t = n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 669*g + 510*g + 5.\nAnswer: 1179*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17875055?\nAnswer: 5, 11, 325001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:27 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 16*d**2 - 41*d - 14. Let x be m(-13). Solve b = -r + 6, 3*r - x - 16 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135728)\/76347 - (-1192)\/(-18)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -34*v. Let d(f) = 3*f. Calculate n(d(j)).\nAnswer: -102*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200020 (base 5) in base 9?\nAnswer: 33016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 14) to base 5\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18992 (base 13) to base 4.\nAnswer: -23222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 557, 1030, 1399, 1616, 1633, 1402, 875?\n\"Answer: -8*q**3 - 4*q**2 + 541*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -10*x + 11*x + 11, 2*i - 4 = 4*x. Let f be 140\/4*8\/20 - i. Factor -f*j**3 - 8\/5*j**4 - 88\/5*j - 108\/5*j**2 - 16\/5.\nAnswer: -2*(j + 2)**3*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 114*j**2 - 1278*j + 6. Is w(16) a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -40. Let o be 1*-6 - (w - 0). Let n = -17 + 12. Put -2, n, o in ascending order.\nAnswer: n, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33148 and 2708.\nAnswer: -89764784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**8\/560 + t**5\/24 - 2*t**3\/3 - 4. Let f(c) be the third derivative of d(c). What is the second derivative of f(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3794, 14810, 33162, 58844, 91850, 132174, 179810?\nAnswer: 234752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88.73, 2\/35, -35.\nAnswer: -88.73, -35, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -35*d + 2 - 4 + d**2 + 29*d. List the prime factors of f(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/180 and 179\/5276940.\nAnswer: 15830820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -10c?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 + 48*t - 240. Calculate the remainder when 233 is divided by z(8).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/3, -3\/2, -18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2373, -5333, -9741, -16323, -25805?\nAnswer: -38913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1175 and -1?\nAnswer: 3.1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(7\/4 + -2). Let i(k) = k**3 - 8*k**2 + 18. Let c be i(8). Is t\/c - (-15468)\/108 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/9 (b) 2569 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 60 = 2*q. Suppose -2*v = -v - q. Solve -v = -2*j + 4*g, -j + 5*g + 0*g + 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 42, 1, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 24 - c + 9 + 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * 26\nAnswer: -6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2360 = p, 18547 - 6759 = 5*p - 2*u. Let z = p + -18815\/8. Calculate the common denominator of z and (-1226)\/60 + 4\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4841*t - 24221. Calculate o(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3117.819t?\nAnswer: 3117819000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114193 - -1.107.\nAnswer: -114191.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -196*z - 8. Give u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 116, 0 in descending order.\nAnswer: 116, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 + 1429*a - 1433. What is m(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:54 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - 25.2.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -52. Let l = 123 + b. Let o = l + -29. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1628619 - 2328519. What is o rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 7.1. Let k(j) = -j - 6. Let f be k(-7). Let u be (-1)\/34*f*-4. Which is the third smallest value? (a) u (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Suppose -231 = -5*f - 236. Put 1, f, t in increasing order.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 647656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/41 in -0.2, 4\/3, 5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -4)\/((-2)\/(-26)). Suppose 8*b - 271 = 3*b + 4*m, 0 = -b - 3*m + v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 5. Let c(z) = z + 1. Suppose 2*m + 4*s = -3*m - 15, 0 = 2*m - s - 7. Suppose -5*d + m = -6*d. Determine d*o(v) - 6*c(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1133*o**2 - 1051*o**2 + 15*o - 15*o - 1 to y*o + b*o**2 + c and give b.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22441383\/290 + -77384. What is the common denominator of -53\/87 and k?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cevvvvncvcvcccvc. What is prob of sequence nc?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from {q: 10, x: 2, a: 4}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n - 1. Let r = -10 + 12. Suppose -r*m - 3*m = 2*b + 18, -3*m = 6. Let l be o(b). Solve -p - 8 = l*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 14) to base 8\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9491818 hours in nanoseconds?\nAnswer: 3417054480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 3744 - 432. Let x be (-1298)\/(-6) + 2\/3. Let n = m + x. Does 27 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 h, and 1 f when four letters picked without replacement from {f: 1, h: 6, v: 10}.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41762456537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 1\/11 (b) -5 (c) 5 (d) -0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5963 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3613 or 3616?\nAnswer: 3613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**3 + 14*v. Let c(s) = 13*s**3 + 9*s. Let b(o) = -8*c(o) + 5*n(o). Find the second derivative of b(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 22223?\nAnswer: 155561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020678431 rounded to six dps?\nAnswer: -0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:15 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t + 6. Let v be f(-4). Let c(i) = -i**2 + 9*i + 6. Does 12 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 214\/321 - 20\/(-6). Solve -7 = -l*v - 31 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7070 divided by 5\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -4. Suppose 3*s = -x + 14. Let o(u) = -3*u + 1. What is o(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930856881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*o*u + 37*d**2*o + 2*d**2*u - 260*d**2 - 20431*d*o + 34*d + o*u wrt d.\nAnswer: 2*o*u + 74*o + 4*u - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 21*o**2 - 25*o + 5. Let q be u(19). Suppose -23*t + q = 5*t. What is the nearest to 0 in -0.4, 2\/3, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 8*g - 5. Determine k(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90263 is divided by 155?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110.705 kilometers to nanometers.\nAnswer: 2110705000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (6 - 1) - -5. Suppose j*u = 2*b - 606, 2*u = b + 29 - 330. What are the prime factors of b?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/5 - ((-104)\/4)\/(180\/(-54)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15704 + 23397. Let b = -5408 + y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 432 = -3*p. Suppose 10 + p = 5*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86041 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192 and -23.7?\nAnswer: -4550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894163 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + y - 145, -2*g - 2*y + 150 = 2*g. Suppose -5*w = g - 170. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 25 = 0. Suppose -h*s + 6 + 15 = -3*r, 3*r + 6 = 0. Solve -3*q + 15 = -4*o, q = s*o + 4 + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66857.22 or 0?\nAnswer: 66857.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:51 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -61.775 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178975473 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4753134.00049 - -4753114. Let h = c - -20. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 38*h**2 - 38*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70820 by 6.\nAnswer: -35410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxuuxhuhuxxuxx. Give prob of sequence xhx.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**10\/(p\/(p**(-3\/8)\/p))**(-23\/3) assuming p is positive.\nAnswer: p**(437\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9459605 is divided by 1670?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 597 + -581. Let l be 1\/(2\/6) - -189. Suppose 13*a - 17*a = -l. Calculate the greatest common divisor of a and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62718952 divided by 505798.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115877, -231799, -347767, -463781?\nAnswer: -579841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {i: 1, d: 4, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -425, -1912, -3401, -4892, -6385, -7880?\n\"Answer: -q**2 - 1484*q + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 68*l + 449. Give c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52 (b) -1\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17112\/(-30) - (-3)\/(-5))*-2. Let v = t - 699. Is 50 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 + 5*m + 2. Let o be r(-3). Let b(y) = -3*y + 1. Let q(t) be the first derivative of -2*t**2 + t + 13. Give o*q(d) + 6*b(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -8124051.\nAnswer: -8124054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 133989?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (44\/(-5))\/(648\/(-277020))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a - 2. Suppose 0*y + 5*n + 35 = 3*y, -4*y + 8 = 3*n. Let s be r(y). Is s - (3 + -2)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138.941 + 139. Let u = w + 25.941. Let y = 25.79 - u. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245950\/30 + (-2)\/3 + 8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 9. Which is smaller: 14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-6)\/(-3))*1. Let h = 9 + t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204582 + -2.175.\nAnswer: -204584.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0425269 milligrams in grams?\nAnswer: 0.0000425269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72003163.\nAnswer: 72003163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 - 350. Let k be (3 - 28\/8)*-1. Factor k*c**2 - 1\/2 + 1\/3*c - 1\/3*c**m.\nAnswer: -(c - 1)*(c + 1)*(2*c - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 2. What is the smallest common multiple of 4 and q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 16*q**2 - 16*q - 11. Let f be b(17). Let u(i) = i**2 - 5*i - 7. Let g be u(f). Let j(k) = -3*k**3 + 2*k**2 + 2*k + 1. What is j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(16100\/42)*15.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 14. Let k be u(8). Suppose -k*q + 5*d + 144 = 0, 0 = 5*q - 3*d + d - 360. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, 1 g, and 1 x when four letters picked without replacement from {q: 1, f: 3, g: 1, x: 5, w: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 924a7 - -157?\nAnswer: 92642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 95. Let h(a) = 8*a**2 + 545*a + 74. Calculate the least common multiple of t and h(-68).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 + 176.71. Let u = d + 2.4. Which is the third smallest value? (a) u (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = -3, -30 = 4*m + 2*p. Let a = m + 47. Let u = 9 + 5. Calculate the remainder when a is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}